The position property specifies the type of positioning method used for an element (static, relative, fixed, absolute or sticky).
There are five different position values:
HTML elements are positioned static by default.
Static positioned elements are not affected by the top, bottom, left, and right properties.
An element with position: static; is not positioned in any special way; it is always positioned according to the normal flow of the page
An element with position: relative; is positioned relative to its normal position.
Setting the top, right, bottom, and left properties of a relatively-positioned element will cause it to be adjusted away from its normal position. Other content will not be adjusted to fit into any gap left by the element.
An element with position: fixed; is positioned relative to the viewport, which means it always stays in the same place even if the page is scrolled. The top, right, bottom, and left properties are used to position the element.
A fixed element does not leave a gap in the page where it would normally have been located.
Notice the fixed element in the lower-right corner of the page.
An element with position: absolute; is positioned relative to the nearest positioned ancestor (instead of positioned relative to the viewport, like fixed).
However; if an absolute positioned element has no positioned ancestors, it uses the document body, and moves along with page scrolling.
An element with position: sticky; is positioned based on the user's scroll position.
A sticky element toggles between relative and fixed, depending on the scroll position. It is positioned relative until a given offset position is met in the viewport - then it "sticks" in place (like position:fixed).
The position Property
The position property specifies the type of positioning method used for an element.There are five different position values:
- static
- relative
- fixed
- absolute
- sticky
position: static;
HTML elements are positioned static by default.
Static positioned elements are not affected by the top, bottom, left, and right properties.
An element with position: static; is not positioned in any special way; it is always positioned according to the normal flow of the page
position: relative;
An element with position: relative; is positioned relative to its normal position.
Setting the top, right, bottom, and left properties of a relatively-positioned element will cause it to be adjusted away from its normal position. Other content will not be adjusted to fit into any gap left by the element.
position: fixed;
An element with position: fixed; is positioned relative to the viewport, which means it always stays in the same place even if the page is scrolled. The top, right, bottom, and left properties are used to position the element.
A fixed element does not leave a gap in the page where it would normally have been located.
Notice the fixed element in the lower-right corner of the page.
position: absolute;
An element with position: absolute; is positioned relative to the nearest positioned ancestor (instead of positioned relative to the viewport, like fixed).
However; if an absolute positioned element has no positioned ancestors, it uses the document body, and moves along with page scrolling.
position: sticky;
An element with position: sticky; is positioned based on the user's scroll position.
A sticky element toggles between relative and fixed, depending on the scroll position. It is positioned relative until a given offset position is met in the viewport - then it "sticks" in place (like position:fixed).
div.static {
position: static;
border: 3px solid #73AD21;
}
div.relative {
position: relative;
left: 30px;
border: 3px solid #73AD21;
}
div.fixed {
position: fixed;
bottom: 0;
right: 0;
width: 300px;
border: 3px solid #73AD21;
}
div.absolute {
position: absolute;
top: 80px;
right: 0;
width: 200px;
height: 100px;
border: 3px solid #73AD21;
}
div.sticky {
position: -webkit-sticky; /* Safari */
position: sticky;
top: 0;
background-color: green;
border: 2px solid #4CAF50;
}


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Workshop schedule
Each day of the week, we will focus on a different topic.
Schedule:
- Day 1: Sentences
- Day 2: Openings
- Day 3: Paragraphs
- Day 4: Arguments
- Day 5: Words
You can navigate to the material for each day through the table of contents links
above.


The Immense Duckpond Pamphlet was a pamphlet about an immense duckpond, as opposed to an immense pamphlet about a duckpond. The text consists of twenty six chapters, lettered from A to Z. It was published in pamphlet form late in the last century, and as I am still fond of it I have decided to add it here, in serial form. So for the next twenty six days this spine-tingling work of duckpondiana will appear, chapter by chapter. I have made a few amendments to the original text, where it was less than felicitous, or where I could see room for improvement.
Here is a picture of the original title page, which should be studied with due care.


Match Play. Red leads 2-0 to 5. Should Red double? If doubled, should White take?
pips Red=121 White=116
(CorrectAnswer= 0/0, ErrorScore= 0)
This is from my last 16 match in the UK Open last weekend against Jason Pack. Jason (Red) correctly doubled and I correctly took (a very easy take). He then played his 63 correctly, 13/7, 8/5 and went on to win the game, the match and the tournament, so congratulations to him.
For money this is a borderline double but once again the match play makes it a very clear double as Red gets to the Crawford Game if he wins this game. Not doubling would be an error.
For money this is a borderline double but once again the match play makes it a very clear double as Red gets to the Crawford Game if he wins this game. Not doubling would be an error.
Cube analysis 2-ply cubeless equity +0.494 (Money: +0.478) 0.722 0.065 0.001 - 0.278 0.032 0.001 Cubeful equities: 1. No double +0.715 2. Double, pass +1.000 (+0.285) 3. Double, take +0.699 (-0.017) Proper cube action: No double, take (5.5%)


From 2007 to 2015 I played Football with Douglas football Club in the centre forward position.
We achieved great success in the school boys leagues throughout the years winning multiple leagues and cups
From 2016 to 2019 i played Football with Carrigaline football Club again in the centre forward position
In my first year at the club we placed 2nd in the division 1 league and I also received the Teammate of the year award, one of two awards given out at the end of the season
In my second year at the club we did not have the same success as the first year placing 4th in the league as we struggled to find team numbers as many people dropped out.
This season i also received the teammate of the year award
Between the years 2012 to 2017 I competed with the athletics club Leevale, competing mainly in the 1500, 800 and 400M meter.
From 2003 to 2012 I attended the "reds ski" school in Westendorf Austria where I competed in numerous skiing competitions winning various awards throughout the years


|
Pac-Royal
1.0
Universitary c++ project
|
class containing all Token parameters More...
#include <game.h>
Static Public Member Functions | |
game.cpp | |
| |
| static void | MoveToken (CMatrix &Mat, char Move, CPosition &Pos, Config &config) |
| Update position tokens players. More... | |
| static int | ppal (const bool &SkipMenu=false) |
| Main fonction which load config, init grid, run menu , run game and check victory condition. More... | |
class containing all Token parameters
|
static |
Update position tokens players.
| Mat | : Game grid |
| Move | : Touch move token |
| Pos | : Position token |
| config | : Init box with KEmpty |
|
static |
Main fonction which load config, init grid, run menu , run game and check victory condition.
| SkipMenu | : Play Game with or without menu |


H. Veillieux is currently enrolled with Confederation College in the Interactive Media Development programme. Her goals after graduation include: improving her artisitic skills through traditional & digital art mediums, writing a fiction novel, and expanding her knowledge of electronics engineering.
Check out the different projects I've worked on during the course of my school career.
I quite like taking photos, especially if I can turn them into something else. :D
My first passion will always be drawing. As long as I've got a pencil/pen I'll be sketching something new.
This is something that I want to explore more. Recent ventures have utilized 3DS Max, but Blender is next on my list to learn. Follow the duck to the right see more.


doctools::toc - doctoc - Processing tables of contents
This package provides a class for the creation of objects able to process and convert text written in the doctoc markup language into any output format X for which a formatting engine is available.
A reader interested in the markup language itself should start with the doctoc language introduction and proceed from there to the formal specifications, i.e. the doctoc language syntax and the doctoc language command reference.
If on the other hand the reader wishes to write her own formatting engine for some format, i.e. is a plugin writer then reading and understanding the doctoc plugin API reference is an absolute necessity, as that document specifies the interaction between this package and its plugins, i.e. the formatting engines, in detail.
This command creates a new doctoc object with an associated Tcl command whose name is objectName. This object command is explained in full detail in the sections OBJECT COMMAND and OBJECT METHODS. The object command will be created under the current namespace if the objectName is not fully qualified, and in the specified namespace otherwise.
The options and their values coming after the name of the object are used to set the initial configuration of the object.
This is a convenience command for applications wishing to provide their user with a short description of the available formatting commands and their meanings. It returns a string containing a standard help text.
Whenever an object created by this the package has to map the name of a format to the file containing the code for its formatting engine it will search for the file in a number of directories stored in a list. See section FORMAT MAPPING for more explanations.
This list not only contains three default directories which are declared by the package itself, but is also extensible user of the package. This command is the means to do so. When given a path to an existing and readable directory it will prepend that directory to the list of directories to search. This means that the path added last is later searched through first.
An error will be thrown if the path either does not exist, is not a directory, or is not readable.
All commands created by ::doctools::toc::new have the following general form and may be used to invoke various operations on their doctoc converter object.
The method method and its arg'uments determine the exact behavior of the command. See section OBJECT METHODS for the detailed specifications.
The method returns a list of all known options and their current values when called without any arguments.
The method behaves like the method cget when called with a single argument and returns the value of the option specified by said argument.
The method reconfigures the specified options of the object, setting them to the associated values, when called with an even number of arguments, at least two.
The legal options are described in the section OBJECT CONFIGURATION.
This method expects a legal configuration option as argument and will return the current value of that option for the object the method was invoked for.
The legal configuration options are described in section OBJECT CONFIGURATION.
This method destroys the object it is invoked for.
This method runs the text through the configured formatting engine and returns the generated string as its result. An error will be thrown if no -format was configured for the object.
The method assumes that the text is in doctoc format as specified in the companion document doctoc_fmt. Errors will be thrown otherwise.
This methods add one entry to the per-object mapping from symbolic filenames to the actual uris. The object just stores this mapping and makes it available to the configured formatting engine through the command dt_fmap. This command is described in more detail in the doctoc plugin API reference which specifies the interaction between the objects created by this package and toc formatting engines.
This method returns a list containing the names of all engine parameters provided by the configured formatting engine. It will return an empty list if the object is not yet configured for a specific format.
This method extends the per-object list of paths searched for toc formatting engines. See also the command ::doctools::toc::search on how to extend the per-package list of paths. Note that the path entered last will be searched first. For more details see section FORMAT MAPPING.
This method sets the named engine parameter to the specified value. It will throw an error if the object is either not yet configured for a specific format, or if the formatting engine for the configured format does not provide a parameter with the given name. The list of parameters provided by the configured formatting engine can be retrieved through the method parameters.
This method returns a list containing all the warnings which were generated by the configured formatting engine during the last invocation of the method format.
All doctoc objects understand the following configuration options:
The package and object will perform the following algorithm when trying to map a format name foo to a file containing an implementation of a formatting engine for foo:
If foo is the name of an existing file then this file is directly taken as the implementation.
If not, the list of per-object search paths is searched. For each directory in the list the package checks if that directory contains a file "toc.foo". If yes, then that file is taken as the implementation.
Note that this list of paths is initially empty and can be extended through the object method search.
If not, the list of package paths is searched. For each directory in the list the package checks if that directory contains a file "toc.foo". If yes, then that file is taken as the implementation.
This list of paths can be extended through the command ::doctools::toc::search. It contains initially one path, the subdirectory "mpformats" of the directory the package itself is located in. In other words, if the package implementation "doctoc.tcl" is installed in the directory "/usr/local/lib/tcllib/doctools" then it will by default search the directory "/usr/local/lib/tcllib/doctools/mpformats" for format implementations.
The mapping fails.
The package provides predefined formatting engines for the following formats. Some of the formatting engines support engine parameters. These will be explicitly highlighted.
This engine generates HTML markup, for processing by web browsers and the like. This engine supports three parameters:
The value for this parameter has to be valid selfcontained HTML markup for the body section of a HTML document. The default value is the empty string. The value is inserted into the generated output just before the </body> tag, closing the body of the generated HTML.
This can be used to insert boilerplate footer markup into the generated document.
The value for this parameter has to be valid selfcontained HTML markup for the body section of a HTML document. The default value is the empty string. The value is inserted into the generated output just after the <body> tag, starting the body of the generated HTML.
This can be used to insert boilerplate header markup into the generated document.
The value for this parameter has to be valid selfcontained HTML markup for the header section of a HTML document. The default value is the empty string. The value is inserted into the generated output just after the <head> tag, starting the header section of the generated HTML.
This can be used to insert boilerplate meta data markup into the generated document, like references to a stylesheet, standard meta keywords, etc.
This engine generates output suitable for the latex text processor coming out of the TeX world.
This engine retrieves version, section and title of the manpage from the document. As such it can be used to generate a directory listing for a set of manpages.
This engine generates Markdown markup.
This engine generates nroff output, for processing by nroff, or groff. The result will be standard man pages as they are known in the unix world.
This engine generates no outout at all. This can be used if one just wants to validate some input.
This engine generates TMML markup as specified by Joe English. The Tcl Manpage Markup Language is a derivate of XML.
This engine generates Wiki markup as understood by Jean Claude Wippler's wikit application.
This document, and the package it describes, will undoubtedly contain bugs and other problems. Please report such in the category doctools of the Tcllib Trackers. Please also report any ideas for enhancements you may have for either package and/or documentation.
When proposing code changes, please provide unified diffs, i.e the output of diff -u.
Note further that attachments are strongly preferred over inlined patches. Attachments can be made by going to the Edit form of the ticket immediately after its creation, and then using the left-most button in the secondary navigation bar.
doctoc_intro, doctoc_lang_cmdref, doctoc_lang_intro, doctoc_lang_syntax, doctoc_plugin_apiref
HTML, TMML, conversion, doctoc, documentation, latex, manpage, markdown, markup, nroff, table of contents, toc, wiki
Documentation tools
Copyright © 2003-2019 Andreas Kupries <andreas_kupries@users.sourceforge.net>


DyPy Core Concepts and Classes¶
DyPy’s goal is to provide an interface to backward dynamic programming that supports the following priorities (in order):
- Ease of learning and use
- Flexible/adaptable to new problems
- Speed (but only after 1 and 2 are satisfied)
In support of these goals, this document describes the core classes and how you might use them to build a dynamic program with DyPy. While it outlines the core classes, and some of this document will be redundant to the API documentation, usage options are included here to support reuse and extension of the package. Specific usage information will be included in the api section. Note that many elements of the API that are otherwise not needed to use the package are included as documented, public methods in order to aid subclassing and development of more complex models.
DynamicProgram¶
The Dynamic Program class is the core of DyPy. Each problem you wish to solve will involve creating an instance of this class and attaching the classes below to it in ways that tell it how to solve your problem. One important design consideration for DyPy is that it should be able to handle problems with multiple state variables
DynamicProgram manages all data and the flow of the optimization. By default, it will build all the stages and manage their tables, but this part of the process can be customized as well (see Stage below for more).
API documentation for this class is here: dypy.DynamicProgram
Objective Functions¶
The objective function will do some of the heavy lifting for your dynamic program, and must be created by the user for each specific optimization problem. DyPy will call the objective function for every combination of state variables and stage variables in each stage of the optimization and the objective function will need to return the cost or benefit value for that set of inputs. The objective function will be provided access to the Stage object for the stage it is currently evaluating, as well as the values of all of the state variables and the decision variable. These will be provided as keyword arguments to the objective function. See the examples section for more information.
Stage¶
A stage provides the set of potential states and decisions at each modeled point sequential moment in the dynamic program. The Stage class provides most of the heavy lifting and data management of this package and most classes ultimately tie to either the DynamicProgram class or the Stage class. By default, the DynamicProgram class builds and manages stages for you, but you may override this behavior for more complicated scenarios.
StateVariable¶
StateVariable objects provide options for potential future conditions. A DynamicProgram can involve multiple state variables, in which case, all permutations of all state variable values are evaluated. Be careful because the solution space can quickly grow in size as you add more state variables with more options. A StateVariable should have a name and a set of potential values. By default, the potential values can be generated for you if you provide a minimum value, a maximum value, and the discretization size of steps in between.
DecisionVariable¶
DecisionVariables describe potential choices that can be made at each stage. Similar to StateVariable objects, they have a name and values, though they are managed slightly differently. Currently only a single decision variable is supported in DyPy, though conceptually, it might be possible to implement multiple decision variables (with increasing complexity to both code and solution time). Both DecisionVariables and StateVariables are provided to the objective function to determine the value of each potential decision when the system is in a certain state.
Prior¶
Priors in DyPy are used in two ways, each time referencing data from another stage that should be incorporated in the
current stage. This need arises during the backward matrix formulation as well as the forward calculation of the best
path. The dypy.Prior
class and subclasses provide different ways of applying future stage values to earlier stages.
dypy.SimplePrior
includes an implementation that will work for most single variable problems, but which may not work for
multi-variable problems. This class can be subclassed and have the apply method overridden to provide
a different implementation. The apply method should return the new matrix.
By default, the Prior class to be used should be provided to the DynamicProgram upon creation, but they can also be overridden per-stage in case of a need to apply priors differently at different stages.
Reducer¶
Reducers are still to be implemented, but provide a tool for turning multi-state variable problems into single state variable problems before calculating the best path. In the case of a stochastic dynamic program, one state might but based on your choices where other states are based on probabilistic future scenarios. Reducers can help reduce the probabilistic states so that a single state variable reflecting the needs of the decision can be used for the forward optimal path calculation.
Use of reducers is not required, and those with need for a true stochastic dynamic program may wish to implement branching behavior reflecting the uncertainty in future stages. The Stage and Prior classes would then need to be overriddent to provide such behavior in lieu of using reducers


SChartScatterSeries Class Reference
| Inherits from | SChartPointSeries : SChartCartesianSeries : SChartMappedSeries : SChartSeries : NSObject |
| Declared in | SChartScatterSeries.h |
| Availability | Standard Premium |
| Related samples |
Overview
SChartScatterSeries
is a type of SChartSeries
that uses its data points to construct a scatter series.
A common use case for scatter series is to use images for your data points. In order to set a default image for each point in your scatter series, you can configure the series style. The following code shows how:
scatterSeries.style.pointStyle.texture = [UIImage<EMAIL_ADDRESS>In order to configure the radius of your data points, you can also configure the series style, as follows:
scatterSeries.style.pointStyle.radius = @10;
Note that there is an SChartBubbleSeries that allows you to control the size of the bubbles via the data point objects returned from your data source.
Data points are rendered as an inner point and an outer point (the drawing of the outer points is handled by the superclass SChartPointSeries). In the case where you just wish to render a single image for your data point, rather than a larger image with a smaller image inside it, you would set the [SChartPointStyle innerRadius]
property of the the series style to @0
.
For more information on styling data points, see SChartPointStyle
.
Configuring individual data points
As well as setting default properties for the whole series, you can set properties for individual data points in your chart series.
You specify properties for individual data points in the chart’s datasource (which will adopt the SChartDatasource
protocol).
To set the radius of an individual data point in the series, you would implement the [SChartDatasource sChartRadiusForDataPoint:dataPointAtIndex:forSeriesAtIndex:]
method on the datasource, and provide the correct radius for each point.
To set an image to use for a particular data point in your series, you would implement the [SChartDatasource sChartTextureForPoint:dataPointAtIndex:forSeriesAtIndex:]
method on the datasource.
You can also set the inner radius of individual points, by implementing the [SChartDatasource sChartInnerRadiusForDataPoint:dataPointAtIndex:forSeriesAtIndex:]
method on the datasource.
Tasks
Styling
-
– style
Manages the appearance of the scatter series on the chart.
-
– setStyle:
Sets the style object for the scatter series.
-
– selectedStyle
Manages the appearance of the scatter series when it is selected.
-
– setSelectedStyle:
Sets the style object for the scatter series when it is selected.
Subclassing
-
– styleForPoint:
Specifies the style to use on a per-point basis
Instance Methods
selectedStyle
Manages the appearance of the scatter series when it is selected.
- (SChartScatterSeriesStyle *)selectedStyle
Discussion
Style settings in this object will be applied when the series is marked as selected (or a point is selected).
The default settings of the style are inherited from the chart theme. You can tweak the appearance of the series by modifying the style.
See Also
Declared In
SChartScatterSeries.h
setSelectedStyle:
Sets the style object for the scatter series when it is selected.
- (void)setSelectedStyle:(SChartScatterSeriesStyle *)selectedStyle
Parameters
- selectedStyle
The new style object to use.
See Also
Declared In
SChartScatterSeries.h
setStyle:
Sets the style object for the scatter series.
- (void)setStyle:(SChartScatterSeriesStyle *)style
Parameters
- style
The new style object to use for the scatter series.
See Also
Declared In
SChartScatterSeries.h
style
Manages the appearance of the scatter series on the chart.
- (SChartScatterSeriesStyle *)style
Discussion
The default settings of the style are inherited from the chart theme. You can tweak the appearance of the series by modifying the style.
See Also
Declared In
SChartScatterSeries.h
styleForPoint:
Specifies the style to use on a per-point basis
- (SChartPointStyle *)styleForPoint:(id<SChartData>)point
Parameters
- point
The data-point that will be styled by the returned style object.
Discussion
This method is called for each datapoint in this series and the standard implementation chooses to return either the style or selectedStyle object based on the selectionMode
and
selected state of either the point or the series. Computationally expensive operations here will increase initial render time.
Use the sChartXValue
& sChartYValue
properties to access each datapoint’s X & Y values. Here is an example of how to use these properties to style each point:
- (SChartPointStyle*)styleForPoint:(idSChartData)point {
SChartPointStyle *newStyle = [super styleForPoint:point];
float yValue = [[point sChartYValue] floatValue];
if (yValue > 90) {
newStyle.color = [UIColor redColor];
} else if(yValue > 50) {
newStyle.color = [UIColor yellowColor];
} else {
newStyle.color = [UIColor greenColor];
}
return newStyle;
}
Declared In
SChartScatterSeries.h


The aim of this project is to use the coupled cluster method method to evaluate the ground state energy of quantum dots with \( N=2 \), \( N=6 \), \( N=12 \) and \( N=20 \) electrons. These are so-called closed shell systems. These systems can however be changed to other ones. This is a project which favors people who have studied many-body physics at the level of FYS4480/9480.
We consider a system of electrons confined in a pure two-dimensional isotropic harmonic oscillator potential, with an idealized total Hamiltonian given by
$$ \begin{equation} \label{eq:finalH} \hat{H}=\sum_{i=1}^{N} \left( -\frac{1}{2} \nabla_i^2 + \frac{1}{2} \omega^2r_i^2 \right)+\sum_{i < j}^{N}\frac{1}{r_{ij}}, \end{equation} $$where natural units (\( \hbar=c=e=m_e=1 \)) are used and all energies are in so-called atomic units a.u. We will study systems of many electrons \( N \) as functions of the oscillator frequency \( \omega \) using the above Hamiltonian. The Hamiltonian includes a standard harmonic oscillator part
$$ \begin{equation*} \hat{H}_0=\sum_{i=1}^{N} \left( -\frac{1}{2} \nabla_i^2 + \frac{1}{2} \omega^2r_i^2 \right), \end{equation*} $$and the repulsive interaction between two electrons given by
$$ \begin{equation*} \hat{H}_I=\sum_{i < j}^{N}\frac{1}{r_{ij}}, \end{equation*} $$with the distance between electrons given by \( r_{ij}=\sqrt{\boldsymbol{r}_1-\boldsymbol{r}_2} \). We define the modulus of the positions of the electrons (for a given electron \( i \)) as \( r_i = \sqrt{r_{i_x}^2+r_{i_y}^2} \). There is no spin-orbit part in the two-body Hamiltonian and the different parts of the Hamiltonian have no spin operators. This means that the spin of a single-particle state or a many-particle state is a conserved quantity.
If only the harmonic oscillator part of the Hamiltonian, the so-called unperturbed part is given by
$$ \begin{equation*} \hat{H}_0=\sum_{i=1}^{N} \left( -\frac{1}{2} \nabla_i^2 + \frac{1}{2} \omega^2r_i^2 \right). \end{equation*} $$The wave function for one electron in an oscillator potential in two dimensions is
$$ \begin{equation*} \phi_{n_x,n_y}(x,y) = A H_{n_x}(\sqrt{\omega}x)H_{n_y}(\sqrt{\omega}y)\exp{(-\omega(x^2+y^2)/2}. \end{equation*} $$The functions \( H_{n_x}(\sqrt{\omega}x) \) are so-called Hermite polynomials, discussed in the appendix while \( A \) is a normalization constant. For the lowest-lying state we have \( n_x=n_y=0 \) and an energy \( \epsilon_{n_x,n_y}=\omega(n_x+n_y+1) = \omega \).
In our case the single-particle basis is provided by the harmonic oscillator functions. The first part of this project deals thus with the setup of the basis functions and the computation of matrix elements for the Coulomb interaction.
Make a program that sets up all the quantum numbers for the single-particle basis using a harmonic oscillator in two dimensions. The list should contain the quantum numbers \( n_x \) and \( n_y \), spin and its projection and the single particle energies in atomic units. Define a cutoff in the list according to the harmonic oscillator excitation energy. The table here lists the first four harmonic oscillator shells, with its pertinent degeneracies, and the total number of electrons which can be accomodated up to a given energy. These numbers are the so-called magic numbers for a two-dimensional quantum dot. The degeneracies take into account the two spin values an electron can take. Convince yourself about the correctness of this table and use it to check that your code is running correctly.
| Shell number | \( (n_x, n_y) \) | Energy | Degeneracy | \( N \) |
| 1 | \( (0,0) \) | \( \hbar\omega \) | 2 | 2 |
| 2 | \( (1,0) \), \( (0,1) \) | \( 2\hbar\omega \) | 4 | 6 |
| 3 | \( (2,0) \), \( (0,2) \), \( (1,1) \) | \( 3\hbar\omega \) | 6 | 12 |
| 3 | \( (3,0) \), \( (0,3) \), \( (2,1) \), \( (1,2) \) | \( 4\hbar\omega \) | 8 | 20 |
Convince yourself that the unperturbed lowest-lying energy for the two-electron system is simply \( 2\omega \). Similarly, find the corresponding energies for \( N=6 \), \( N=12 \), \( N=20 \) and \( N=30 \) electrons. These results will turn out to be very useful when you need to check your programs.
With the single-particle basis from the previous step, you should now write a class which encodes the information about the harmonic oscillator single-particle basis. This should include the single-particle energies, spin and its projections as well as the harmonic oscillator functions that depend on \( n_x \) and \( n_y \).
In order to set up the two-body matrix elements, we need to define the so-called direct and exchange matrix elements. This leads to what we call an anti-symmetrized matrix element.
We introduce the following shorthands for the integrals
$$ \langle pq|\hat{v}|rs\rangle = \int \psi_{p}^*(x_i)\psi_{q}^*(x_j)V(r_{ij})\psi_{r}(x_i)\psi_{s}(x_j) dx_idx_j, $$which defines the so-called direct matrix element and
$$ \langle pq|\hat{v}|sr\rangle = \int \psi_{p}^*(x_i)\psi_{q}^*(x_j) V(r_{ij})\psi_{s}(x_i)\psi_{r}(x_j) dx_idx_j, $$which defines the exchange element. The variables \( pqrs \) define all the single-particle quantum numbers. In our case these are \( n_x \), \( n_y \) and spin and its projections.
These matrix elements are defined in terms of two-body quantum numbers. Which quantum numbers are conserved? Which are the possible values the total spin of a two-body state can have?
The direct and exchange matrix elements can be brought together if we define the anti-symmetrized matrix element
$$ \langle pq|\hat{v}|rs\rangle_{\mathrm{AS}}= \langle pq|\hat{v}|rs\rangle-\langle pq|\hat{v}|sr\rangle. $$It has the symmetry property
$$ \langle pq|\hat{v}|rs\rangle_{\mathrm{AS}}= -\langle pq|\hat{v}|sr\rangle_{\mathrm{AS}}=-\langle qp|\hat{v}|rs\rangle_{\mathrm{AS}}, $$and
$$ \langle pq|\hat{v}|rs\rangle_{\mathrm{AS}}= \langle qp|\hat{v}|sr\rangle_{\mathrm{AS}}. $$Your task is to write a function which calculates the integral
$$ \langle pq|\hat{v}|rs\rangle = \int \psi_{p}^*(x_i)\psi_{q}^*(x_j)V(r_{ij})\psi_{r}(x_i)\psi_{s}(x_j) dx_idx_j, $$and then assemble the direct and exchange terms in order to construct the anti-symmetrized matrix elements to be used as inputs to the coupled cluster code. The integral needs to be parallelized. Chapter five of the lecture notes discusses Gaussian quadrature. You may find it convenient to use Hermite polynomials in order to set up the integration points and weights.
The aim of this project is to develop a coupled cluster doubles (CCD) code, where \( 2p-2h \) excitations are included only.
We will start with a two-electron problem and compare our results to those of Taut, see reference [1] below.
The ansatz for the ground state is given by
$$ \begin{equation*} \vert \Psi_0\rangle = \vert \Psi_{CC}\rangle = e^{\hat{T}} \vert \Phi_0\rangle = \left( \sum_{n=1}^{N} \frac{1}{n!} \hat{T}^n \right) \vert \Phi_0\rangle, \end{equation*} $$where \( N \) represents the maximum number of particle-hole excitations and \( \hat{T} \) is the cluster operator defined as
$$ \begin{align*} \hat{T} &= \hat{T}_1 + \hat{T}_2 + \ldots + \hat{T}_N \\ \hat{T}_n &= \left(\frac{1}{n!}\right)^2 \sum_{\substack{ i_1,i_2,\ldots i_n \\ a_1,a_2,\ldots a_n}} t_{i_1i_2\ldots i_n}^{a_1a_2\ldots a_n} a_{a_1}^\dagger a_{a_2}^\dagger \ldots a_{a_n}^\dagger a_{i_n} \ldots a_{i_2} a_{i_1}. \end{align*} $$The energy is given by
$$ \begin{equation*} E_{\mathrm{CC}} = \langle\Phi_0\vert \overline{H}\vert \Phi_0\rangle, \end{equation*} $$where \( \overline{H} \) is a similarity transformed Hamiltonian
$$ \begin{align*} \overline{H}&= e^{-\hat{T}} \hat{H}_N e^{\hat{T}} \\ \hat{H}_N &= \hat{H} - \langle\Phi_0\vert \hat{H} \vert \Phi_0\rangle. \end{align*} $$The coupled cluster energy is a function of the unknown cluster amplitudes \( t_{i_1i_2\ldots i_n}^{a_1a_2\ldots a_n} \), given by the solutions to the amplitude equations
$$ \begin{equation}\label{eq:amplitudeeq} 0 = \langle\Phi_{i_1 \ldots i_n}^{a_1 \ldots a_n}\vert \overline{H}\vert \Phi_0\rangle. \end{equation} $$In order to set up the above equations, the similarity transformed Hamiltonian \( \overline{H} \) is expanded using the Baker-Campbell-Hausdorff expression,
$$ \begin{equation}\label{eq:bch} \overline{H}= \hat{H}_N + \left[ \hat{H}_N, \hat{T} \right] + \frac{1}{2} \left[\left[ \hat{H}_N, \hat{T} \right], \hat{T}\right] + \ldots + \frac{1}{n!} \left[ \ldots \left[ \hat{H}_N, \hat{T} \right], \ldots \hat{T} \right] +\dots \end{equation} $$and simplified using the connected cluster theorem
$$ \begin{equation*} \overline{H}= \hat{H}_N + \left( \hat{H}_N \hat{T}\right)_c + \frac{1}{2} \left( \hat{H}_N \hat{T}^2\right)_c + \dots + \frac{1}{n!} \left( \hat{H}_N \hat{T}^n\right)_c +\dots \end{equation*} $$We will discuss parts of the the derivation below.
We will now approximate the cluster operator \( \hat{T} \) to include only \( 2p-2h \) correlations. This leads to the so-called CCD approximation, that is
$$ \hat{T}\approx \hat{T}_2=\frac{1}{4}\sum_{abij}t_{ij}^{ab}a^{\dagger}_aa^{\dagger}_ba_ja_i, $$meaning that we have
$$ \vert \Psi_0 \rangle \approx \vert \Psi_{CCD} \rangle = \exp{\left(\hat{T}_2\right)}\vert \Phi_0\rangle. $$Inserting these equations in the expression for the computation of the energy we have, with a Hamiltonian defined with respect to a general reference vacuum
$$ \hat{H}=\hat{H}_N+E_{\mathrm{ref}}, $$with
$$ \hat{H}_N=\sum_{pq}\langle p \vert \hat{f} \vert q \rangle a^{\dagger}_pa_q + \frac{1}{4}\sum_{pqrs}\langle pq \vert \hat{v} \vert rs \rangle a^{\dagger}_pa^{\dagger}_qa_sa_r, $$we obtain that the energy can be written as
$$ \langle \Phi_0 \vert \exp{\left(-\hat{T}_2\right)}\hat{H}_N\exp{\left(\hat{T}_2\right)}\vert \Phi_0\rangle = \langle \Phi_0 \vert \hat{H}_N(1+\hat{T}_2)\vert \Phi_0\rangle = E_{CCD}. $$This quantity becomes
$$ E_{CCD}=E_{\mathrm{ref}}+\frac{1}{4}\sum_{abij}\langle ij \vert \hat{v} \vert ab \rangle t_{ij}^{ab}, $$where the latter is the correlation energy from this level of approximation of coupled cluster theory. Similarly, the expression for the amplitudes reads
$$ \langle \Phi_{ij}^{ab} \vert \exp{\left(-\hat{T}_2\right)}\hat{H}_N\exp{\left(\hat{T}_2\right)}\vert \Phi_0\rangle = 0. $$These equations can be reduced to (after several applications of Wick's theorem), for all \( i > j \) and all \( a > b \),
$$ \begin{align} 0 = \langle ab \vert \hat{v} \vert ij \rangle + \left(\epsilon_a+\epsilon_b-\epsilon_i-\epsilon_j\right)t_{ij}^{ab}+\frac{1}{2}\sum_{cd} \langle ab \vert \hat{v} \vert cd \rangle t_{ij}^{cd}+\frac{1}{2}\sum_{kl} \langle kl \vert \hat{v} \vert ij \rangle t_{kl}^{ab}+\hat{P}(ij\vert ab)\sum_{kc} \langle kb \vert \hat{v} \vert cj \rangle t_{ik}^{ac} & \nonumber \\ +\frac{1}{4}\sum_{klcd} \langle kl \vert \hat{v} \vert cd \rangle t_{ij}^{cd}t_{kl}^{ab}+\hat{P}(ij)\sum_{klcd} \langle kl \vert \hat{v} \vert cd \rangle t_{ik}^{ac}t_{jl}^{bd}-\frac{1}{2}\hat{P}(ij)\sum_{klcd} \langle kl \vert \hat{v} \vert cd \rangle t_{ik}^{dc}t_{lj}^{ab}-\frac{1}{2}\hat{P}(ab)\sum_{klcd} \langle kl \vert \hat{v} \vert cd \rangle t_{lk}^{ac}t_{ij}^{db},& \label{eq:ccd} \end{align} $$where we have defined
$$ \hat{P}\left(ab\right)= 1-\hat{P}_{ab}, $$where \( \hat{P}_{ab} \) interchanges two particles occupying the quantum numbers \( a \) and \( b \). The operator \( \hat{P}(ij\vert ab) \) is defined as
$$ \hat{P}(ij\vert ab) = (1-\hat{P}_{ij})(1-\hat{P}_{ab}). $$The single-particle energies \( \epsilon_p \) are normally taken to be either plain harmonic oscillator ones or Hartree-Fock single-particle energies. Recall also that the unknown amplitudes \( t_{ij}^{ab} \) represent anti-symmetrized matrix elements, meaning that they obey the same symmetry relations as the two-body interaction, that is
$$ t_{ij}^{ab}=-t_{ji}^{ab}=-t_{ij}^{ba}=t_{ji}^{ba}. $$The two-body matrix elements are also anti-symmetrized, meaning that
$$ \langle ab \vert \hat{v} \vert ij \rangle = -\langle ab \vert \hat{v} \vert ji \rangle= -\langle ba \vert \hat{v} \vert ij \rangle=\langle ba \vert \hat{v} \vert ji \rangle. $$The non-linear equations for the unknown amplitudes \( t_{ij}^{ab} \) are solved iteratively.
In order to develop a program, chapter 8 of the recent Lecture Notes in Physics (volume 936) is highly recommended as literature. All material is available from the source site. Example of CCD codes are available from the program site. These can be used to benchmark your own program.
Here you should feel free to use either a plain harmonic oscillator basis or Hartree-Fock basis. If you have performed Hartree-Fock calculations and are familiar with these, the Hartree-Fock basis defines the so-called reference energy
$$ \begin{equation} E_{\mathrm{ref}} = \sum_{i\le F} \sum_{\alpha\beta} C^*_{i\alpha}C_{i\beta}\langle \alpha | h | \beta \rangle + \frac{1}{2}\sum_{ij\le F}\sum_{{\alpha\beta\gamma\delta}} C^*_{i\alpha}C^*_{j\beta}C_{i\gamma}C_{j\delta}\langle \alpha\beta|\hat{v}|\gamma\delta\rangle. \label{_auto1} \end{equation} $$If you plan to use Hartree-Fock based matrix elements, you will need to transform the matrix elements from the harmonic oscillator basis to the Hartree-Fock basis. The first step is to program
$$ \begin{equation} \langle pq \vert \hat{v} \vert rs\rangle_{AS}= \sum_{{\alpha\beta\gamma\delta}} C^*_{p\alpha}C^*_{q\beta}C_{r\gamma}C_{s\delta}\langle \alpha\beta|\hat{v}|\gamma\delta\rangle_{AS}, \label{_auto2} \end{equation} $$where the coefficients are those from the last Hartree-Fock iteration and the matrix elements are all anti-symmetrized. You can extend your Hartree-Fock program to write out these matrix elements after the last Hartree-Fock iteration. Make sure that your matrix elements are structured according to conserved quantum numbers, avoiding thereby the write out of many zeros.
To test that your matrix elements are set up correctly, when you read in these matrix elements in the CCD code, make sure that the reference energy from your Hartree-Fock calculations are reproduced. Alternatively, you can just use the standard harmonic oscillator one-body and two-body matrix elements.
Set up a code which solves the CCD equation by encoding the equations as they stand, that is follow the mathematical expressions and perform the sums over all single-particle states. Compute the energy of the two-electron systems using all single-particle states. Compare these with Taut's results for \( \omega=1 \) a.u. Since you do not include singles you will not get the exact result. If you wish to include singles, you will able to obtain the exact results in a basis with at least ten major oscillator shells. Perform also calculations with \( N=6 \), \( N=12 \) and \( N=20 \) electrons and compare with reference [2] of Pedersen et al below.
The next step consists in rewriting the equations in terms of matrix-matrix multiplications and subdividing the matrix elements and operations in terms of two-particle configuration that conserve total spin projection and projection of the orbital momentum. Rewrite also the equations in terms of so-called intermediates, as detailed in section 8.7 of Lietz et al. This section gives a detailed description on how to build a coupled cluster code and is highly recommended.
Rerun your calculations for \( =2 \), \( N=6 \), \( N=12 \) and \( N=20 \) electrons using your optimal Hartree-Fock basis. Make sure your results from 2b) stay the same.
Calculate as well ground state energies for \( \omega=0.5 \) and \( \omega=0.1 \). Try to compare with eventual variational Monte Carlo results from other students, if possible.
The final step is to parallelize your CCD code using either OpenMP or MPI and do a performance analysis. Use the \( N=6 \) case. Make a performance analysis by timing your serial code with and without vectorization. Perform several runs and compute an average timing analysis with and without vectorization. Comment your results.
Compare thereafter your serial code(s) with the speedup you get by parallelizing your code, running either OpenMP or MPI or both. Do you get a near \( 100\% \) speedup with the parallel version? Comment again your results and perform timing benchmarks several times in order to extract an average performance time.
The Hermite polynomials are the solutions of the following differential equation
$$ \begin{equation} \frac{d^2H(x)}{dx^2}-2x\frac{dH(x)}{dx}+ (\lambda-1)H(x)=0. \label{eq:hermite} \end{equation} $$The first few polynomials are
$$ \begin{equation*} H_0(x)=1, \end{equation*} $$ $$ \begin{equation*} H_1(x)=2x, \end{equation*} $$ $$ \begin{equation*} H_2(x)=4x^2-2, \end{equation*} $$ $$ \begin{equation*} H_3(x)=8x^3-12x, \end{equation*} $$and
$$ \begin{equation*} H_4(x)=16x^4-48x^2+12. \end{equation*} $$They fulfil the orthogonality relation
$$ \begin{equation*} \int_{-\infty}^{\infty}e^{-x^2}H_n(x)^2dx=2^nn!\sqrt{\pi}, \end{equation*} $$and the recursion relation
$$ \begin{equation*} H_{n+1}(x)=2xH_{n}(x)-2nH_{n-1}(x). \end{equation*} $$Here follows a brief recipe and recommendation on how to write a report for each project.
The preferred format for the report is a PDF file. You can also use DOC or postscript formats or as an ipython notebook file. As programming language we prefer that you choose between C/C++, Fortran2008 or Python. The following prescription should be followed when preparing the report:
Finally, we encourage you to work two and two together. Optimal working groups consist of 2-3 students. You can then hand in a common report.


Description
Are there consistent lag-times in response? In other words, is response immediate or do people regularly require some time to process an event?
Parameter
Description
Key Words
Key words
Position
Location for search
From Date
The Start date
To Date
The End date
Event Start Date
The event start date
OK


TilingSprite Class
A tiling sprite is a fast way of rendering a tiling image
Constructor
TilingSprite
-
texture
-
width
-
height
Parameters:
-
texture
Texturethe texture of the tiling sprite
-
width
Numberthe width of the tiling sprite
-
height
Numberthe height of the tiling sprite
Item Index
Methods
- _destroyCachedSprite
- _generateCachedSprite
- _renderCachedSprite
- _renderCanvas
- _renderWebGL
- addChild
- addChildAt
- click
- generateTexture
- generateTilingTexture
- getBounds
- getChildAt
- getChildIndex
- getLocalBounds
- mousedown
- mouseout
- mouseover
- mouseup
- mouseupoutside
- onTextureUpdate
- removeChild
- removeChildAt
- removeChildren
- removeStageReference
- rightclick
- rightdown
- rightup
- rightupoutside
- setChildIndex
- setStageReference
- setTexture
- swapChildren
- tap
- toGlobal
- toLocal
- touchend
- touchendoutside
- touchstart
- updateCache
Properties
- _bounds
- _cacheAsBitmap
- _cacheIsDirty
- _cr
- _currentBounds
- _height
- _interactive
- _sr
- _width
- alpha
- anchor
- blendMode
- buttonMode
- cacheAsBitmap
- children
- defaultCursor
- filterArea
- filters
- height
- height
- hitArea
- interactive
- mask
- parent
- pivot
- position
- renderable
- rotation
- scale
- shader
- stage
- texture
- tilePosition
- tileScale
- tileScaleOffset
- tint
- visible
- width
- width
- worldAlpha
- worldTransform
- worldVisible
- x
- y
Methods
_destroyCachedSprite
()
private
Destroys the cached sprite.
_generateCachedSprite
()
private
Internal method.
_renderCachedSprite
-
renderSession
Internal method.
Parameters:
-
renderSession
ObjectThe render session
_renderCanvas
-
renderSession
Renders the object using the Canvas renderer
Parameters:
-
renderSession
RenderSession
_renderWebGL
-
renderSession
Renders the object using the WebGL renderer
Parameters:
-
renderSession
RenderSession
addChild
-
child
Adds a child to the container.
Parameters:
-
child
DisplayObjectThe DisplayObject to add to the container
Returns:
The child that was added.
addChildAt
-
child
-
index
Adds a child to the container at a specified index. If the index is out of bounds an error will be thrown
Parameters:
-
child
DisplayObjectThe child to add
-
index
NumberThe index to place the child in
Returns:
The child that was added.
click
-
interactionData
A callback that is used when the users clicks on the displayObject with their mouse's left button
Parameters:
-
interactionData
InteractionData
generateTexture
-
resolution
-
scaleMode
-
renderer
Useful function that returns a texture of the displayObject object that can then be used to create sprites This can be quite useful if your displayObject is static / complicated and needs to be reused multiple times.
Parameters:
-
resolution
NumberThe resolution of the texture being generated
-
scaleMode
NumberShould be one of the PIXI.scaleMode consts
-
renderer
CanvasRenderer | WebGLRendererThe renderer used to generate the texture.
Returns:
a texture of the graphics object
generateTilingTexture
-
forcePowerOfTwo
Parameters:
-
forcePowerOfTwo
BooleanWhether we want to force the texture to be a power of two
getBounds
()
Rectangle
Returns the framing rectangle of the sprite as a PIXI.Rectangle object
Returns:
the framing rectangle
getChildAt
-
index
Returns the child at the specified index
Parameters:
-
index
NumberThe index to get the child from
Returns:
The child at the given index, if any.
getChildIndex
-
child
Returns the index position of a child DisplayObject instance
Parameters:
-
child
DisplayObjectThe DisplayObject instance to identify
Returns:
The index position of the child display object to identify
getLocalBounds
()
Rectangle
Retrieves the non-global local bounds of the displayObjectContainer as a rectangle. The calculation takes all visible children into consideration.
Returns:
The rectangular bounding area
mousedown
-
interactionData
A callback that is used when the user clicks the mouse's left button down over the sprite
Parameters:
-
interactionData
InteractionData
mouseout
-
interactionData
A callback that is used when the users mouse leaves the displayObject
Parameters:
-
interactionData
InteractionData
mouseover
-
interactionData
A callback that is used when the users mouse rolls over the displayObject
Parameters:
-
interactionData
InteractionData
mouseup
-
interactionData
A callback that is used when the user releases the mouse's left button that was over the displayObject for this callback to be fired, the mouse's left button must have been pressed down over the displayObject
Parameters:
-
interactionData
InteractionData
mouseupoutside
-
interactionData
A callback that is used when the user releases the mouse's left button that was over the displayObject but is no longer over the displayObject for this callback to be fired, the mouse's left button must have been pressed down over the displayObject
Parameters:
-
interactionData
InteractionData
onTextureUpdate
-
event
When the texture is updated, this event will fire to update the scale and frame
Parameters:
-
event
Object
removeChild
-
child
Removes a child from the container.
Parameters:
-
child
DisplayObjectThe DisplayObject to remove
Returns:
The child that was removed.
removeChildAt
-
index
Removes a child from the specified index position.
Parameters:
-
index
NumberThe index to get the child from
Returns:
The child that was removed.
removeChildren
-
beginIndex
-
endIndex
Removes all children from this container that are within the begin and end indexes.
Parameters:
-
beginIndex
NumberThe beginning position. Default value is 0.
-
endIndex
NumberThe ending position. Default value is size of the container.
removeStageReference
()
Removes the current stage reference from the container and all of its children.
rightclick
-
interactionData
A callback that is used when the users clicks on the displayObject with their mouse's right button
Parameters:
-
interactionData
InteractionData
rightdown
-
interactionData
A callback that is used when the user clicks the mouse's right button down over the sprite
Parameters:
-
interactionData
InteractionData
rightup
-
interactionData
A callback that is used when the user releases the mouse's right button that was over the displayObject for this callback to be fired the mouse's right button must have been pressed down over the displayObject
Parameters:
-
interactionData
InteractionData
rightupoutside
-
interactionData
A callback that is used when the user releases the mouse's right button that was over the displayObject but is no longer over the displayObject for this callback to be fired, the mouse's right button must have been pressed down over the displayObject
Parameters:
-
interactionData
InteractionData
setChildIndex
-
child
-
index
Changes the position of an existing child in the display object container
Parameters:
-
child
DisplayObjectThe child DisplayObject instance for which you want to change the index number
-
index
NumberThe resulting index number for the child display object
setStageReference
-
stage
Sets the containers Stage reference. This is the Stage that this object, and all of its children, is connected to.
Parameters:
-
stage
Stagethe stage that the container will have as its current stage reference
setTexture
-
texture
Sets the texture of the sprite
Parameters:
-
texture
TextureThe PIXI texture that is displayed by the sprite
swapChildren
-
child
-
child2
Swaps the position of 2 Display Objects within this container.
Parameters:
-
child
DisplayObject -
child2
DisplayObject
tap
-
interactionData
A callback that is used when the users taps on the sprite with their finger basically a touch version of click
Parameters:
-
interactionData
InteractionData
toGlobal
-
position
Calculates the global position of the display object
Parameters:
-
position
PointThe world origin to calculate from
Returns:
A point object representing the position of this object
toLocal
-
position
-
[from]
Calculates the local position of the display object relative to another point
Parameters:
-
position
PointThe world origin to calculate from
-
[from]
DisplayObject optionalThe DisplayObject to calculate the global position from
Returns:
A point object representing the position of this object
touchend
-
interactionData
A callback that is used when the user releases a touch over the displayObject
Parameters:
-
interactionData
InteractionData
touchendoutside
-
interactionData
A callback that is used when the user releases the touch that was over the displayObject for this callback to be fired, The touch must have started over the sprite
Parameters:
-
interactionData
InteractionData
touchstart
-
interactionData
A callback that is used when the user touches over the displayObject
Parameters:
-
interactionData
InteractionData
updateCache
()
Generates and updates the cached sprite for this object.
Properties
_cacheAsBitmap
Boolean
private
Cached internal flag.
_cacheIsDirty
Boolean
private
Cached internal flag.
_cr
Number
private
cached sin rotation and cos rotation
_height
Number
private
The height of the sprite (this is initially set by the texture)
_interactive
Boolean
private
[read-only] Whether or not the object is interactive, do not toggle directly! use the interactive
property
_sr
Number
private
cached sin rotation and cos rotation
_width
Number
private
The width of the sprite (this is initially set by the texture)
alpha
Number
The opacity of the object.
anchor
Point
The anchor sets the origin point of the texture. The default is 0,0 this means the texture's origin is the top left Setting than anchor to 0.5,0.5 means the textures origin is centered Setting the anchor to 1,1 would mean the textures origin points will be the bottom right corner
blendMode
Number
The blend mode to be applied to the sprite
Default: PIXI.blendModes.NORMAL;
cacheAsBitmap
Boolean
Set if this display object is cached as a bitmap. This basically takes a snap shot of the display object as it is at that moment. It can provide a performance benefit for complex static displayObjects. To remove simply set this property to 'null'
children
Array[read-only] The array of children of this container.
defaultCursor
String
This is the cursor that will be used when the mouse is over this object. To enable this the element must have interaction = true and buttonMode = true
filterArea
Rectangle
The area the filter is applied to like the hitArea this is used as more of an optimisation rather than figuring out the dimensions of the displayObject each frame you can set this rectangle
filters
Array An array of filters
Sets the filters for the displayObject.
- IMPORTANT: This is a webGL only feature and will be ignored by the canvas renderer. To remove filters simply set this property to 'null'
height
Number
The height of the TilingSprite, setting this will actually modify the scale to achieve the value set
height
Number
The height of the tiling sprite
hitArea
Rectangle | Circle | Ellipse | Polygon
This is the defined area that will pick up mouse / touch events. It is null by default. Setting it is a neat way of optimising the hitTest function that the interactionManager will use (as it will not need to hit test all the children)
interactive
Boolean
Indicates if the sprite will have touch and mouse interactivity. It is false by default
Default: false
mask
Graphics
Sets a mask for the displayObject. A mask is an object that limits the visibility of an object to the shape of the mask applied to it. In PIXI a regular mask must be a PIXI.Graphics object. This allows for much faster masking in canvas as it utilises shape clipping. To remove a mask, set this property to null.
parent
DisplayObjectContainer
[read-only] The display object container that contains this display object.
renderable
Boolean
Whether this sprite is renderable or not
Default: true
rotation
Number
The rotation of the object in radians.
shader
PIXI.AbstractFilter
The shader that will be used to render the texture to the stage. Set to null to remove a current shader.
Default: null
stage
Stage
[read-only] The stage the display object is connected to, or undefined if it is not connected to the stage.
tint
Number
The tint applied to the sprite. This is a hex value
Default: 0xFFFFFF
visible
Boolean
The visibility of the object.
width
Number
The with of the tiling sprite
width
Number
The width of the sprite, setting this will actually modify the scale to achieve the value set
worldAlpha
Number
[read-only] The multiplied alpha of the displayObject
worldTransform
Matrix
private
[read-only] Current transform of the object based on world (parent) factors
worldVisible
Boolean
[read-only] Indicates if the sprite is globally visible.
x
Number
The position of the displayObject on the x axis relative to the local coordinates of the parent.
y
Number
The position of the displayObject on the y axis relative to the local coordinates of the parent.


|
Panda3D
|
Public Member Functions | |
| def | __init__ (self, av) |
| def | delete (self) |
| def | setGridParent (self, grid, zoneId, teleport=0) |
Static Public Member Functions | |
| def | getCellOrigin (grid, zoneId) |
| def | releaseCellOrigin (grid, zoneId) |
Public Attributes | |
| av | |
| cellOrigin | |
| grid | |
| ownCellOrigin | |
| zoneId | |
Static Public Attributes | |
| dictionary | GridZone2CellOrigin = {} |
| dictionary | GridZone2count = {} |
| def __init__ | ( | self, | |
| av | |||
| ) |
| def delete | ( | self | ) |
|
static |
|
static |
| def setGridParent | ( | self, | |
| grid, | |||
| zoneId, | |||
teleport = 0 |
|||
| ) |
| av |
| cellOrigin |
| grid |
|
static |
|
static |
| ownCellOrigin |
| zoneId |


Certifi: Python SSL Certificates¶
Certifi is a carefully curated collection of Root Certificates for validating the trustworthiness of SSL certificates while verifying the identity of TLS hosts. It has been extracted from the Requests project.
Usage¶
To reference the installed certificate authority (CA) bundle, you can use the built-in function:
>>> import certifi
>>> certifi.where()
'/usr/local/lib/python2.7/site-packages/certifi/cacert.pem'
Or from the command line:
$ python -m certifi
/usr/local/lib/python2.7/site-packages/certifi/cacert.pem
Enjoy!
1024-bit Root Certificates¶
Browsers and certificate authorities have concluded that 1024-bit keys are
unacceptably weak for certificates, particularly root certificates. For this
reason, Mozilla has removed any weak (i.e. 1024-bit key) certificate from its
bundle, replacing it with an equivalent strong (i.e. 2048-bit or greater key)
certificate from the same CA. Because Mozilla removed these certificates from
its bundle, certifi
removed them as well.
In previous versions, certifi
provided the certifi.old_where()
function
to intentionally re-add the 1024-bit roots back into your bundle. This was not
recommended in production and therefore was removed at the end of 2018.


|
Labyrinth - One Player mode
Our project of maze simulation and analysis.
|
Connects all models to the display function. More...
Public Member Functions | |
| function | Wrapper (in inSize, in outSize, in initLaby, in initWalls, in initPac, in initStop) |
| Class constructor of Instance of StopCondition Class. More... | |
| function | updateConnexion (in obj, in indBit, in value) |
| Update the connection bit for connect automatic mode for Pacman and/or the walls. More... | |
| function | init (in obj) |
| Allows to completely reset the labyrinth. More... | |
| function | orderer (in obj, in vectIn) |
| Ordinate the global execution of Models. More... | |
| function | get_stop (in obj) |
| Return the current State of shutdown condition. More... | |
| function | get_out (in obj) |
| Return the current State of output cell. More... | |
Public Attributes | |
| Property | wallsBit |
| Boolean connection for the walls. More... | |
| Property | pacmanBit |
| Boolean connection for the Pacman. More... | |
| Property | modelLaby |
| contain the instance of the model of labyrinth. More... | |
| Property | commandWalls |
| contain the instance of wall's command. More... | |
| Property | commandPacman |
| contain the instance of Pacman's command. More... | |
| Property | stopCondition |
| contain the instance shutdown condition. More... | |
| Property | in |
| A integer vector who contain the state of input,. More... | |
| Property | out |
| A cell who contain the state of output,. More... | |
| Property | stop |
| A cell that contains the output of the stop conditions instance. More... | |
| Property | whoPlay |
| A increment integer that permit to know which object to play 0 = walls ; 1 = Pacman. More... | |
Connects all models to the display function.
Contain the connection between the different elements and contain all the models (walls, labyrinth, Pacman, escape)
Class constructor of Instance of StopCondition Class.
| inSize | Integer containing the size of the state of inputs. |
| outSize | Integer containing the size of the state of Outputs. |
| initLaby | Structure containing every fields need to initialize the labyrinth Model. |
| initWalls | Structure containing every fields need to initialize the Walls Model. |
| initPac | Structure containing every fields need to initialize the Pacman Model. |
| initStop | Structure containing every fields need to initialize the Stop Model. |
| function get_out | ( | in | obj | ) |
| function get_stop | ( | in | obj | ) |
Return the current State of shutdown condition.
| obj | The instance of Wrapper. |
| function init | ( | in | obj | ) |
Ordinate the global execution of Models.
| obj | The instance of Wrapper. |
Update the connection bit for connect automatic mode for Pacman and/or the walls.
| obj | The instance of Wrapper. |
| indBit | Integer pointing the element to be connected : '1' for walls and '3' for Pacman. |
| value | Boolean indicating if the element is connected (True) or not. |
| Property commandPacman |
contain the instance of Pacman's command.
| Property commandWalls |
contain the instance of wall's command.
| Property in |
A integer vector who contain the state of input,.
incremented by the callback or some action.
| Property modelLaby |
contain the instance of the model of labyrinth.
| Property out |
A cell who contain the state of output,.
incremented by the callback or some action.
| Property pacmanBit |
Boolean connection for the Pacman.
| Property stop |
A cell that contains the output of the stop conditions instance.
incremented by the callback or some action.
| Property stopCondition |
contain the instance shutdown condition.
| Property wallsBit |
Boolean connection for the walls.
| Property whoPlay |
A increment integer that permit to know which object to play 0 = walls ; 1 = Pacman.


Mass Action
{% set help_modal_id = "help_modal3" %}
{% set help_modal_title = "Mass Action Reaction" %}
{% set help_modal_message = "By selecting the Mass Action checkbox, you will be presented with the option to choose a rate constant for the reaction. The propensity function will be automatically created assuming mass action kinetics when you click the 'Add reaction' button. For this option, only zeroth (EmptySet -> A), first (A->B) and second order (A+B->C) reactions are supported. If you use the StochKit2 solvers, specifying reactions as mass action can have a performance advantage, since models with only mass action reactions does not have to be compiled prior to simulations, which reduces the start-up time of the solver. "%}
{% include "help_modal.html" %}
{{help_modal|safe}}
{% if all_parameters_list %}
{% endif %}


We’re Shelley, Tina, Lucy and Peg.
We’ve all been in situations where we hear about a family that’s fallen on hard times, or seen a child at your kid’s school who clearly doesn’t have a warm coat, or read a story about a struggling single parent with a recent cancer diagnosis, but it’s hard to find a way to help that’s fast, direct, and will truly help the situation.
We knew that if we felt this way, there were probably lots of others in our community who wanted to help in these situations, too. Since our first event in the fall of 2006, we have raised over $15,000.00 and have used this money to purchase gift cards to grocery stores, help with rising oil costs, and pay child care/camps for children, utility bills and car repairs. The seed was planted, the needs were there, and the number of women in our community ready and willing to help was abundant.
Founded in the fall of 2006, Womenaid of Central MA raises money for immediate, short-term financial assistance for families in need. We learn about these needs mostly through other Womenaid members, who see a hardship and ask us to help. From paying for groceries for a family struggling with a crisis to helping a child with a much needed warm coat, we help individuals and families of all sizes and needs.
The concept was created in 2001 in Washington D.C. when six female friends met for supper in an area restaurant. One of the women, Dr. Amy Kossoff, spoke about how she wrote checks from her personal account to help her low-income patients with small bills for prescriptions, co-pays, and field trips. Dr. Kossoff estimated that she had given away nearly $10,000 in one year. One of her friends suggested that they all help pay these costs. Instead of going out to eat, they decided to have several pot-luck dinners and ask guests to contribute $35, about the cost of a restaurant meal. Dr. Kossoff was able to continue with her generous work, but with the support of friends, family and neighbors.


API indirect ray pipeline wrapper. A IndirectRayPipeline represents the configuration of default ray intersection, including Shader configuration etc. Access through the Framework managed object IndirectRayPipeline.
More...
|
| int32 | getAttributeLocation (const char8 *attribute) |
| | Get Get the shader locations of several uniform variables at once. If an attribute does not exist or is inactive, returns -1 More...
|
| |
| void | getAttributeLocation (const char8 **attributes, uint32 numAttributes, int32 *outLocation) |
| | Get multiple attribute locations at once. If an attribute is inactive or does not exist, the location is set to -1 More...
|
| |
VertexAttributeInfoWithBinding
const * | getAttributesInfo (pvr::uint16 bindId) const |
| | Return all the information on VertexAttributes of this pipeline. More...
|
| |
const
IndirectRayPipelineCreateParam & | getCreateParam () const |
| | return pipeline create param used to create the child pipeline More...
|
| |
| VertexInputBindingInfo const * | getInputBindingInfo (pvr::uint16 bindingId) const |
| | Return pipeline vertex input binding info. More...
|
| |
| const native::HIndirectPipeline_ & | getNativeObject () const |
| | Return this native object handle (const) More...
|
| |
| native::HIndirectPipeline_ & | getNativeObject () |
| | Return this native object handle More...
|
| |
| pvr::uint8 | getNumAttributes (pvr::uint16 bindingId) const |
| | Get number of attributes of buffer binding. More...
|
| |
| const PipelineLayout & | getPipelineLayout () const |
| | Return pipeline layout. More...
|
| |
| void | getUniformLocation (const char8 **uniforms, uint32 numUniforms, int32 *outLocation) |
| | Get If uniforms are supported by the underlying API, get the shader locations of several uniform variables at once. If a uniform does not exist or is inactive, returns -1 More...
|
| |
| int32 | getUniformLocation (const char8 *uniform) |
| | Get If uniforms are supported by the underlying API, get the shader location of a uniform variables. If a uniform does not exist or is inactive, return -1 More...
|
| |
API indirect ray pipeline wrapper. A IndirectRayPipeline represents the configuration of default ray intersection, including Shader configuration etc. Access through the Framework managed object IndirectRayPipeline.
| int32 pvr::api::impl::IndirectRayPipeline_::getAttributeLocation |
( |
const char8 * |
attribute | ) |
|
|
inline |
Get Get the shader locations of several uniform variables at once. If an attribute does not exist or is inactive, returns -1
attribute attributes name
- Returns
- The shader attribute index of an attribute, -1 if nonexistent.
| void pvr::api::impl::IndirectRayPipeline_::getAttributeLocation |
( |
const char8 ** |
attributes, |
|
|
uint32 |
numAttributes, |
|
|
int32 * |
outLocation |
|
) |
| |
|
inline |
Get multiple attribute locations at once. If an attribute is inactive or does not exist, the location is set to -1
- Parameters
-
| attributes | The array of attributes names to get locations |
| numAttributes | of attributes in the array |
| outLocation | An array of sufficient size to write the locations to |
Return all the information on VertexAttributes of this pipeline.
- Returns
- The information on VertexAttributes of this pipeline as a const pointer to VertexAttributeInfo.
| VertexInputBindingInfo const* pvr::api::impl::IndirectRayPipeline_::getInputBindingInfo |
( |
pvr::uint16 |
bindingId | ) |
const |
|
inline |
| const native::HIndirectPipeline_& pvr::api::impl::IndirectRayPipeline_::getNativeObject |
( |
| ) |
const |
|
inline |
Return this native object handle (const)
| native::HIndirectPipeline_& pvr::api::impl::IndirectRayPipeline_::getNativeObject |
( |
| ) |
|
|
inline |
Return this native object handle
| pvr::uint8 pvr::api::impl::IndirectRayPipeline_::getNumAttributes |
( |
pvr::uint16 |
bindingId | ) |
const |
|
inline |
Get number of attributes of buffer binding.
- Parameters
-
| bindingId | buffer binding id |
- Returns
- number of attributes
| const PipelineLayout& pvr::api::impl::IndirectRayPipeline_::getPipelineLayout |
( |
| ) |
const |
|
inline |
Return pipeline layout.
- Returns
- const PipelineLayout&
| void pvr::api::impl::IndirectRayPipeline_::getUniformLocation |
( |
const char8 ** |
uniforms, |
|
|
uint32 |
numUniforms, |
|
|
int32 * |
outLocation |
|
) |
| |
|
inline |
Get If uniforms are supported by the underlying API, get the shader locations of several uniform variables at once. If a uniform does not exist or is inactive, returns -1
- Parameters
-
| uniforms | An array of uniform variable names |
| numUniforms | The number of uniforms in the array |
| outLocation | An array where the locations will be saved. Writes -1 for inactive uniforms. |
| int32 pvr::api::impl::IndirectRayPipeline_::getUniformLocation |
( |
const char8 * |
uniform | ) |
|
|
inline |
Get If uniforms are supported by the underlying API, get the shader location of a uniform variables. If a uniform does not exist or is inactive, return -1
- Parameters
-
| uniform | The name of a shader uniform variable name |
- Returns
- The location of the uniform, -1 if not found/inactive.
The documentation for this class was generated from the following file:


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This is a global settings editor for the Moog Grandmother synthesizer. It uses the SysEx messages introduced in the v1.1.0 firmware update to read/write the settings. Please refer to the Moog Grandmother v1.1.0 (or later) Firmware Notes PDF for more details. The source code is available on GitHub along with more details. It is made available with no warranty or guarantees, and is in no way affiliated with Moog Music. Use at your own risk!.
For this editor to work, your browser will need to support the Web MIDI API and permissions will need to be setup correctly. Your Grandmother will also need to have the latest v1.1.3 firmware installed.
When this page is loaded, the MIDI API will look for any MIDI In/Out devices with the word "Grandmother" in their name and connect to the first of these that is found. Once connected, the global settings are scanned. Each of the 47 settings in the table below will switch from a grey to white background if a value is successfully read from the connected Grandmother.
Use the selection boxes or sliders to select a new value from the list. The factory defaults are indicated with the text "(Default)", along with any explanatory notes. When a new value is selected it is immediate sent to the Matriarch. The row for the setting will turn grey and then white again indicated that the value was successfully updated.
There are a number of parameters that de-facto resets to another default value than the officially documented default value.
This editor is a modification of the Moog Matriarch Global Settings Editor by Mark Reid. If you like it, please check out some of the music he has made using the Matriarch on Twitter, Instagram, YouTube, and SoundCloud.
| Parameter ID | Parameter Name | Values |
|---|


Please enter a valid name
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Password must include 6-30 letters, numbers, or special characters (!@#$%&*?)
Passwords do not match


Welcome Hennies!
Start your engines!


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Question 1: Do you think Uinicorns are realziez?
Question 2: Are you having fun yet?
Question 3: What time is itQuestion 4: You have just found out your are not real? Is your existence therefore meaningless?
Quesion 5: If you are not real, am I real?
Question 6: Have I provided you with good customer service?


| HOME | DOWNLOAD | DOCUMENTATION | FORUM | FAQ |
> Home > Documentation
Spherical Harmonic I/O, Storage, and Conversions
|
Spherical harmonic I/O |
|
| SHRead | Read spherical harmonic coefficients from a simple ordered list in an ASCII file. |
| SHRead2 | Read spherical harmonic coefficients from a CHAMP or GRACE-like ASCII file. |
| SHReadJPL | Read spherical harmonic coefficients from a JPL ASCII file. |
|
Spherical harmonic storage |
|
| SHCilmToCindex | Convert a three-dimensional array of complex spherical harmonic coefficients to a two-dimensional indexed array. |
| SHCindexToCilm | Convert a two-dimensional indexed array of complex spherical harmonic coefficients to a three-dimensional array. |
| SHCilmToVector | Convert a 3-dimensional array of real spherical harmonic coefficients to a 1-dimensional ordered array. |
| SHVectorToCilm | Convert a 1-dimensional indexed vector of real spherical harmonic coefficients to a 3-dimensional array. |
| YilmIndex | Determine the index of a 1D ordered vector of spherical harmonic coefficients corresponding to I, L, and M. |
|
Spherical harmonic conversions |
|
| SHrtoc | Convert real spherical harmonics to complex form. |
| SHctor | Convert complex spherical harmonics to real form. |
> Home > Documentation
| Centre National de la Recherche Scientifique | Institut de Physique du Globe de Paris | © 2011 Mark Wieczorek |


Gets the LimitlessLED lights.
import ledcontroller
pool = ledcontroller.LedControllerPool([config["host"]])
lights = []
for i in range(1, 5):
if "group_%d_name" % (i) in config:
for bridge_id, bridge in enumerate(bridges):
bridge["id"] = bridge_id
pool = ledcontroller.LedControllerPool([x["host"] for x in bridges])
lights = []
for bridge in bridges:


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--- title: Israel shot 155 date: 2004-06-04T00:00:00.000Z filepathOriginal: photos/IMG0226.jpg filepathThumbnail: photos/IMG0226.thumbnail.jpg filepathPreview: photos/IMG0226.preview.jpg ---
Lunch break near Mt Shlomo


|
freesound-juce
A JUCE client for accessing the Freesound API
|
A class which represents a Freesound user and its information. More...
#include <FreesoundAPI.h>
Public Member Functions | |
| FSUser () | |
| Default constructor, creates an empy User object. More... | |
| FSUser (var user) | |
| Constructor from the response of a user instance request. More... | |
Public Attributes | |
| URL | profile |
| The URL of the user profile in Freesound. | |
| String | username |
| The username. | |
| String | about |
| The Ďaboutí text of usersí profile (if indicated) | |
| URL | homepage |
| The URI of usersí homepage outside Freesound (if indicated) | |
| var | avatar |
| Dictionary including the URIs for the avatar of the user. The avatar is presented in three sizes Small, Medium and Large, which correspond to the three fields in the dictionary. If user has no avatar, this field is null. | |
| String | dateJoined |
| The date when the user joined Freesound. | |
| int | numSounds |
| Number of sounds uploaded by the user. | |
| URL | sounds |
| The URI for a list of sounds by the user. | |
| int | numPacks |
| The number of packs by the user. | |
| URL | packs |
| The URI for a list of packs by the user. | |
| int | numPosts |
| The number of forum posts by the user. | |
| int | numComments |
| The number of comments that user made in other usersí sounds. | |
| URL | bookmarks |
| The URI for a list of bookmark categories by the user. | |
A class which represents a Freesound user and its information.
| FSUser::FSUser | ( | ) |
Default constructor, creates an empy User object.
| FSUser::FSUser | ( | var | user | ) |
Constructor from the response of a user instance request.
| user | The response of a user instance request. |


| Top |
| void | cairo_matrix_init () |
| void | cairo_matrix_init_identity () |
| void | cairo_matrix_init_translate () |
| void | cairo_matrix_init_scale () |
| void | cairo_matrix_init_rotate () |
| void | cairo_matrix_translate () |
| void | cairo_matrix_scale () |
| void | cairo_matrix_rotate () |
| cairo_status_t | cairo_matrix_invert () |
| void | cairo_matrix_multiply () |
| void | cairo_matrix_transform_distance () |
| void | cairo_matrix_transform_point () |
cairo_matrix_t is used throughout cairo to convert between different
coordinate spaces. A cairo_matrix_t holds an affine transformation,
such as a scale, rotation, shear, or a combination of these.
The transformation of a point (x
,y
)
is given by:
x_new = xx * x + xy * y + x0; y_new = yx * x + yy * y + y0;
The current transformation matrix of a cairo_t, represented as a
cairo_matrix_t, defines the transformation from user-space
coordinates to device-space coordinates. See cairo_get_matrix()
and
cairo_set_matrix()
.
void cairo_matrix_init (cairo_matrix_t *matrix
,double xx
,double yx
,double xy
,double yy
,double x0
,double y0
);
Sets matrix
to be the affine transformation given by
xx
, yx
, xy
, yy
, x0
, y0
. The transformation is given
by:
x_new = xx * x + xy * y + x0; y_new = yx * x + yy * y + y0;
matrix |
||
xx |
xx component of the affine transformation |
|
yx |
yx component of the affine transformation |
|
xy |
xy component of the affine transformation |
|
yy |
yy component of the affine transformation |
|
x0 |
X translation component of the affine transformation |
|
y0 |
Y translation component of the affine transformation |
Since 1.0
void
cairo_matrix_init_identity (cairo_matrix_t *matrix
);
Modifies matrix
to be an identity transformation.
Since 1.0
void cairo_matrix_init_translate (cairo_matrix_t *matrix
,double tx
,double ty
);
Initializes matrix
to a transformation that translates by tx
and
ty
in the X and Y dimensions, respectively.
matrix |
||
tx |
amount to translate in the X direction |
|
ty |
amount to translate in the Y direction |
Since 1.0
void cairo_matrix_init_scale (cairo_matrix_t *matrix
,double sx
,double sy
);
Initializes matrix
to a transformation that scales by sx
and sy
in the X and Y dimensions, respectively.
Since 1.0
void cairo_matrix_init_rotate (cairo_matrix_t *matrix
,double radians
);
Initialized matrix
to a transformation that rotates by radians
.
matrix |
||
radians |
angle of rotation, in radians. The direction of rotation is defined such that positive angles rotate in the direction from the positive X axis toward the positive Y axis. With the default axis orientation of cairo, positive angles rotate in a clockwise direction. |
Since 1.0
void cairo_matrix_translate (cairo_matrix_t *matrix
,double tx
,double ty
);
Applies a translation by tx
, ty
to the transformation in
matrix
. The effect of the new transformation is to first translate
the coordinates by tx
and ty
, then apply the original transformation
to the coordinates.
matrix |
||
tx |
amount to translate in the X direction |
|
ty |
amount to translate in the Y direction |
Since 1.0
void cairo_matrix_scale (cairo_matrix_t *matrix
,double sx
,double sy
);
Applies scaling by sx
, sy
to the transformation in matrix
. The
effect of the new transformation is to first scale the coordinates
by sx
and sy
, then apply the original transformation to the coordinates.
Since 1.0
void cairo_matrix_rotate (cairo_matrix_t *matrix
,double radians
);
Applies rotation by radians
to the transformation in
matrix
. The effect of the new transformation is to first rotate the
coordinates by radians
, then apply the original transformation
to the coordinates.
matrix |
||
radians |
angle of rotation, in radians. The direction of rotation is defined such that positive angles rotate in the direction from the positive X axis toward the positive Y axis. With the default axis orientation of cairo, positive angles rotate in a clockwise direction. |
Since 1.0
cairo_status_t
cairo_matrix_invert (cairo_matrix_t *matrix
);
Changes matrix
to be the inverse of its original value. Not
all transformation matrices have inverses; if the matrix
collapses points together (it is degenerate),
then it has no inverse and this function will fail.
If matrix
has an inverse, modifies matrix
to
be the inverse matrix and returns CAIRO_STATUS_SUCCESS
. Otherwise,
returns CAIRO_STATUS_INVALID_MATRIX
.
Since 1.0
void cairo_matrix_multiply (cairo_matrix_t *result
,const cairo_matrix_t *a
,const cairo_matrix_t *b
);
Multiplies the affine transformations in a
and b
together
and stores the result in result
. The effect of the resulting
transformation is to first apply the transformation in a
to the
coordinates and then apply the transformation in b
to the
coordinates.
It is allowable for result
to be identical to either a
or b
.
Since 1.0
void cairo_matrix_transform_distance (const cairo_matrix_t *matrix
,double *dx
,double *dy
);
Transforms the distance vector (dx
,dy
) by matrix
. This is
similar to cairo_matrix_transform_point()
except that the translation
components of the transformation are ignored. The calculation of
the returned vector is as follows:
dx2 = dx1 * a + dy1 * c; dy2 = dx1 * b + dy1 * d;
Affine transformations are position invariant, so the same vector
always transforms to the same vector. If (x1
,y1
) transforms
to (x2
,y2
) then (x1
+dx1
,y1
+dy1
) will transform to
(x1
+dx2
,y1
+dy2
) for all values of x1
and x2
.
matrix |
||
dx |
X component of a distance vector. An in/out parameter |
|
dy |
Y component of a distance vector. An in/out parameter |
Since 1.0
void cairo_matrix_transform_point (const cairo_matrix_t *matrix
,double *x
,double *y
);
Transforms the point (x
, y
) by matrix
.
Since 1.0
typedef struct { double xx; double yx; double xy; double yy; double x0; double y0; } cairo_matrix_t;
A cairo_matrix_t holds an affine transformation, such as a scale, rotation, shear, or a combination of those. The transformation of a point (x, y) is given by:
x_new = xx * x + xy * y + x0; y_new = yx * x + yy * y + y0;
xx component of the affine transformation |
||
yx component of the affine transformation |
||
xy component of the affine transformation |
||
yy component of the affine transformation |
||
X translation component of the affine transformation |
||
Y translation component of the affine transformation |
Since 1.0


|
|||||||||
| PREV PACKAGE NEXT PACKAGE | FRAMES NO FRAMES |
| Class Summary | |
|---|---|
| AdminCommand | A directory service message |
| AppointmentCommand | An appointment message |
| FreeBusyResponse | Response for free-busy requests. |
| GetDirectoryResponse | A response that can be used for processing a GetDirectory request |
| GwCommand | Base class for commands coming into the GroupWise connector. |
| GwResponse | General superclass for responses to an incoming GwCommand. |
| MailCommand | Mail command |
| NoteCommand | A note message |
| PassThroughCommand | A message going to another groupwise domain |
| PhoneCommand | A phone message |
| ProbeResponse | Responds to a Free/Busy probe from Exchange |
| SearchCommand | A busy search request command |
| TaskCommand | A task message |
| UnknownCommand | This object represents a command that the parser has no idea how to treat. |
| VoidResponse | This class represents a response that does not result in any feedback to the GroupWise client. |
| Enum Summary | |
|---|---|
| GwCommand.MessageType |
|
|||||||||
| PREV PACKAGE NEXT PACKAGE | FRAMES NO FRAMES |


--- layout: post title: Assuming the Mayans were wrong… alias: /assuming-the-mayans-were-wrong published: true ---
…and the apocalypse doesn't come on Friday, we're meeting up for some combined IPRUG/FESuffolk pre-Christmas drinks on Saturday the 22nd. See you at 7pm in the Brewery Tap!
As far as regular IPRUG nights go, the January meeting will be a week later than usual, on the 8th. We still need speakers – any volunteers?


Battleship.io is a game host project powered by socket.io and node.js. This is a simple cli example demonstrate how the game host works.
For more detail, please visit github.


Screenshots for Example Instance
Below are shown sample screenshots for the
example instance provided with the Flamenco
installation.
Opening Screen:
Middlegame after clicking on Affiliation > US:
Middlegame after adding keyword Berkeley:
Endgame view after clicking on George A. Akerloff:


Your Account Details
[[${message}]]
E-mail:
First Name:
Last Name:
Password:
Confirm Password:
Assigned Roles:
[[${user.roles}]]
Photos:


ESB Transactions
Current filter:
Today
Yesterday
This Month
This Year
SERVICE
reset
OPERATION
reset
TIME DETAILS
reset2
selected out of
Current filter:
ID
Date
Status
Country
Value
Render All
Filter All


Search results
Using filter: {{filter}}
Total Count: {{count}}, Showing Results: {{reslen}}
{% if runtime < 20 %}
Query Runtime: {{runtime}} seconds
{% else %}
Query Runtime: {{runtime}} seconds
Your query took longer than 20 seconds. Consider revising your query filter and limiting your return parameters.
{% endif %}
{# Info PopUp #}
{{infopopup('See how to do it in Python', 'Marvin Query - start iPython', querystring, 'marvinquery', 'warning')}}


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LIKE queries versus full-text indexes
Linux 2.4 kernel swapping
distributions of MySQL included in
filesystems
nonjournaling filesystems
Linux Virtual Server project
Linux volume manager (LVM), snapshot capabilities
LOAD DATA INFILE command
security concerns
LOAD TABLE FROM MASTER command
load-balancing
2nd
availability
caching systems
configuration
cluster partitioning
connection limits
health checks
next-connection algorithms
efficiency
load-balancing products
multi-master load-balancing
MySQL and HTTP, compared
connection pooling
partitioning
requests
purpose
scalability
software solutions
transparency
using replication
load-balancing products
localhost and MySQL
localhost-only connections, security
LOCK TABLES command
locking and concurrency
InnoDB storage engine
lock granularity
lock types
MVCC
MyISAM storage engine
page locks
row locks
logging log corruption
log index files
logfiles
out of sync binary and transaction logs
privileges, setting
storage engines, use for
transaction logging
logins
LVM (Linux volume manager), snapshot capabilities
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With my experience using full stack web technologies (MEAN/MERN stack) I can help bring an idea from the drawing board to reality. In the fast-paced, dynamic realm of online technologies, I do my best to stay up to date with the latest tools.
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After fumbling around with a few blogs and websites I ran in my spare time, I started my biggest project to date; a music app to sell and digitally distribute my instrumentals to songwriters, artists, and other producers.
In 2014 I enrolled at the University of Texas in Austin to pursure a Bachelors of Science & Arts in Mathematics with a double minor in Computer Science and Business. I also completed the 24-week UT Full Stack Web Development Coding Bootcamp which cemented many of the skills I had developed in earlier years.
Web Dev
Digital music production • Lefsetz Letter • Audio Engineering • Machine Learning/AI Algorithms • Basketball (NBA) • Cryptocurrency • Digital Marketing • Sci-Fi Movies • Designboom • HackerNews
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The following sections outline some important topics in well managed, robust scientific software. These topics are not the only things that one could include in such a list, but they are common ones.
The implementations here are Python specific: the packaging, pytest for testing, sphinx for documentation, etc. But the notion of these topics are universal. You should use conventional packaging methods for the language you’re using. You should be automating your tests. You should have well managed documentation. Your command-line interfaces and logging behavior should follow established conventions. You should benchmark and profile the performance and memory footprint of your code.
These things will not make your scientific software correct. But doing these things are a big part of making your scientific software easy to use and easy to maintain.