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Ricardo is an experienced developer who has experienced the most significant changes in the world of coding. From COBOL to
Java, and more recently gained experience with PYTHON and its entire ecosystem.
He has a huge capacity to learn quickly about any and all PYTHON packages or frameworks, such as Django, FLASK
and Pyramid. He's also experienced on building automation scripts with Selenium webdriver and also with data scraping
using BS4.
He also worked as a Quality Assurance Analyst participating in projects for the execution of tests guaranteeing
the quality of the software delivered to the customers like telecommunications companies.
Worked as a 3th-party consultant allocated on the client (NEXTEL) working as a Python developer. Main activities were code Python API extraction from Zendesk Software to throu data to data lake, get experience as a Data Scientist, workin with Handoop, Spark enviroment
Worked as a 3th-party consultant allocated on the client (TICKET RESTAURANTE) working as a Python developer. Main activities maintenance legacy Python code
Worked as a 3th-party consultant allocated on the client working as a Python developer. Main activities were code Python Microservices to access Oracle database calling Storage Procedures. The developed framework uses messaging technology with Posix and Asynchronous messages queues.
Development of PYTHON programs
Acting as 3th party - working in DST Project (Developer Support team) create shell scripts (Bash), Python
Mainframe conversion Cobol to Java (Linux). Create specification documents to develop java programs
Meetings with technical leadership (kick-off), comprehend business requirements and functional specifications.
Requirement analysis, writing test plans and test cases based on system requirement specifications.
Involved in Regression Testing.
Understanding the functional requirements of the application
Updating the test cases based on the Change Requests/Enhancements
Client Server based application mobile (Atlys - Oracle) and fixed telephony (Mainframe, CICS).
Working as an outsourced resource at the client “Caixa Seguradora”, an insurance company, working on systems
support, performing corrective maintenance and code improvement for the SIAS system (Integrated Insurance Management),
specifically in the modules "VIDA" and "Microsseguro AMPARO".
Main tools used: COBOL CICS, COBOL II, Visual Age, VSAM, DB2, SQL, JCL, TSO, RDZ, Microsoft Office.
Attended to projects QA tests performing manual tests
Meetings with technical leadership (kick-off), understanding the demands requirements and estimate their
completion.
Gathering business rules of mobiles systems like CRM (sales, adsl, fiber optic and digital TV).
Preparation test scenarios through interviews with users and gathering functional requirements of new software.
Loading and detailed scenarios on HP Quality Center tool for monitoring testing procedures, issuance and
statistical reporting for management.
Preparation of manuals, assisting in the transfer of knowledge within teams
Expertise in client Vivo (Telefonica) projects mobile and fixed telephony.
Acting as point of contact (POC) activities between teams from Brazil, India and Canada.
Coordination of the activities of mapping and data conversion;
Participated in the One HSBC project, the core banking of HSBC at the work of check accounts and also savings
accounts;
Elaborated technical specification to extract savings account;
Participated in the design of data import, workshops;
Preparation of technical specifications and process development for the mainframe conversion programs;
Coding Programs in COBOL II, CICS and DB2
Working in progress to Publish some Tutorials that I development to achive learning process


A popular Vietnamese card game
Tien Len 13 is a popular vietnamese card game, aka Vietnamese Cards (VC) or Thirteen. The objective of the game is to eliminate all thirteen cards in your hand before your opponents do.
Play Tien LenThe cards rank from lowest to highest as follows → 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A, 2
The suits rank from lowest to highest as follows → ♠ Spades, ♣ Clubs, ♦ Diamonds, ♥ Hearts
| Hand Type | Hand |
|---|---|
| Single | Three♠ |
| Pair | Ace♥, Ace♦ |
| Three of a Kind | Jack♠, Jack♦, Jack♥ |
| Four of a kind* | Nine♠, Nine♣, Nine♦, Nine♥ |
| Straight | Three♥, Four♦, Five♠, Six♣ |
| Straight Lock** | Three♠, Four♠, Five♠, Six♠ |
| Straight Pairs* | Three♣, Three♠, Four♠, Four♠, Five♥, Five♦ |
* This is also known as a buster. If a player plays a single 2 card (the highest card), you can play over it with this hand.
** A player must have a straight of the same suit to beat this hand, hence the lock.
The goal of Tien Len is to be the first player to git rid of all your cards. The person with the lowest card starts the game and can play any of the hands (ex. Single, Straight) to start the game.
When a player plays a hand, the other players must play a hand of the same type. Example:
Player 1 plays THREE♠ + THREE♥ (Two of a Kind) the other players must play a Two of a Kind.
In the end, the player that plays the hand that noone else can beat takes over the game. At this point, the player can choose to play whatever hand he desires because he is the leader.
Rinse and repeat and you have a game of Tien Len 13!
I have a passion for cards and wanted an excuse to use Bootstrap, Classy, and HTML5
Want to contribute to the game? Fork Tien Len 13 on GitHub
© 2012 Glen Zangirolami – Tien Len 13


Moments distribution
This elicitation method asks forecasters to input the 'bounds and moments' of the distribution. (Specifically, the moments are the mean and standard deviation). It then fits a distribution based on these inputs:
- Lower bound and upper bound => uniform
- Lower bound and mean or standard deviation => exponential
- Upper bound and mean or standard deviation => 'reflected' exponential
- Mean and standard deviation => Gaussian
- Otherwise => non-parametric maximum entropy distribution. See https://dsbowen.github.io/smoother/.
Examples
In app.py
:
import dash_fcast as fcast
import dash_fcast.distributions as dist
import dash
import dash_bootstrap_components as dbc
import dash_core_components as dcc
import dash_html_components as html
import plotly.graph_objects as go
from dash.dependencies import Input, Output
app = dash.Dash(__name__, external_stylesheets=[dbc.themes.BOOTSTRAP])
app.layout = html.Div([
html.Br(),
dist.Moments(id='Forecast'),
html.Br(),
fcast.Table(
id='Table',
datatable={'editable': True, 'row_deletable': True},
row_addable=True
),
html.Div(id='graphs')
], className='container')
dist.Moments.register_callbacks(app)
fcast.Table.register_callbacks(app)
@app.callback(
Output('graphs', 'children'),
[
Input(dist.Moments.get_id('Forecast'), 'children'),
Input(fcast.Table.get_id('Table'), 'children')
]
)
def update_graphs(dist_state, table_state):
distribution = dist.Moments.load(dist_state)
table = fcast.Table.load(table_state)
pdf = go.Figure([distribution.pdf_plot(), table.bar_plot('Forecast')])
pdf.update_layout(transition_duration=500, title='PDF')
cdf = go.Figure([distribution.cdf_plot()])
cdf.update_layout(transition_duration=500, title='CDF')
return [dcc.Graph(figure=pdf), dcc.Graph(figure=cdf)]
if __name__ == '__main__':
app.run_server(debug=True)
Run the app with:
$ python app.py
Open your browser and navigate to http://localhost:8050/.
dash_fcast.distributions.Moments
class dash_fcast.distributions.Moments(id, lb=0, ub=1, mean=None, std=None, *args, **kwargs) [source]
Distribution generated from moments elicitation.
| Parameters: | id : str
Distribution identifier. lb : scalar or None, default=0
Lower bound of the distribution. F(x)=0 for all x<lb. If
Upper bound of the distribution. F(x)=1 for all x>ub. If
Mean of the distribution. If
Standard deviation of the distribution. If Arguments and keyword arguments are passed to the smoother constructor. |
|---|---|
| Attributes: | id : str
Set from the |
Methods
elicitation(self, lb=0, ub=1, mean=None, std=None) [source]
Creates the layout for eliciting bounds and moments. Parameters for this method are analogous to the constructor parameters.
| Parameters: | lb : scalar, default=0
ub : scalar, default=1 mean : scalar or None, default=None std : scalar or None, default=None decimals : int, default=2 Number of decimals to which the recommended maximum standard deviation is rounded. |
|---|---|
| Returns: | layout : list of dash elements.
Elicitation layout. |
register_callbacks(cls, app, decimals=2) [source]
Register dash callbacks for moments distributions.
| Parameters: | app : dash.Dash
App with which to register callbacks. decimals : int, default=2Number of decimals to which to round the standard deviation placeholder. |
|---|
fit(self, lb=None, ub=None, mean=None, std=None) [source]
Fit the smoother given bounds and moments constraints. Parameters are analogous to those of the constructor.
| Parameters: | lb : scalar or None, default=None
ub : scalar or None, default=None mean : scalar or None, default=None std : scalar or None, default=None
|
|---|---|
| Returns: | self : dash_fcast.distributions.Moments
|
dump(self) [source]
| Returns: | state dictionary : str (JSON)
|
|---|
load(cls, state_dict) [source]
| Parameters: | state_dict : str (JSON)
Moments distribution state dictionary (output of |
|---|---|
| Returns: | distribution : dash_fcast.distributions.Moments
Moments distribution specified by the state dictionary. |
mean(self) [source]
std(self) [source]
pdf(self, x) [source]
cdf(self, x) [source]
ppf(self, q) [source]
pdf_plot(self, **kwargs) [source]
| Parameters: | **kwargs :
Keyword arguments passed to |
|---|---|
| Returns: | scatter : go.Scatter
Scatter plot of the probability density function. |
cdf_plot(self, **kwargs) [source]
| Parameters: | ** kwargs :
Keyword arguments passed to |
|---|---|
| Returns: | scatter : go.Scatter
Scatter plot of the cumulative distribution function. |


The “novelCoViD” R package allows users to obtain live worldwide data from the novel CoronaVirus Disease (CoViD-19), as published by Johns Hopkins University. The package also provides basic map and plot functions to explore the dataset.
The goal of this package is to make the latest data available for anyone who wants to know more about number of death and confirmed cases of covid19 in any country in the world, and obtain some visualized understanding from this data.
The Covid19Data()
function allows users to obtain real time data of CoViD19 reported cases from Johns Hopkins University data repository. This function provides a clean data of total and daily death and confirmed cases for every country, available since 2020-01-22.
The Covid19onMap()
function provides a world map in which the color of every country shows number of new confirmed cases or death from covid19 on the given date. Entries of this function are: 1) a dataframe which should be provided by Covid19Data() function, 2) a specific date, possible formats are: “yyyy-m-d” or “yyyy/m/d” 3) the type of “confirmed” or “death” to show on the map. 4) Whether to show data in logarithmic scale or not. Default is FALSE. Note that the default data is a local data which is the offline available version of covid19 data stored in the package. It is recommended that the user gets the updated data using Covid19Data() function.
The Covid19Plot()
function plots number of daily confirmed cases and daily death from covid19 as a function of time for the given country or countries. Entries of this function are: 1) data set which should be provided by Covid19Data() function, 2) country or countries names. available names are stored in the variable named ‘country_names’, 3) start date, 4) end date. Note that the default data is a local data which is the offline available version of covid19 data stored in the package. It is recommended that the user gets the updated data using Covid19Data() function.
You can install the development version of novelCoViD from GitHub with:
# need devtools for installing from the github repo install.packages("devtools") # install novelCoViD from github devtools::install_github('https://github.com/rasaashrafi/novelCoViD.git')
These are some examples of the three main functions of the package:
library(novelCoViD) # get new data newdata <- novelCoViD::Covid19Data()
# map the data of daily cases for a given date novelCoViD::Covid19onMap(newdata, "2020-06-24", "confirmed")
# plot the data as a function of time for any country novelCoViD::Covid19Plot(newdata,"Iran",start_date="2020-01-22",end_date = "2020-10-24")
# plot the data as a function of time for a number of countries novelCoViD::Covid19Plot(newdata,country=c("Iran","India"),start_date="2020/02/22",end_date = "2020/05/15")


WITNESS LIST
Natural Resources
November 1, 2011 9:00 AM
2011 Texas Drought
ON:
Neilson-Gammon, John W. Professor and Texas State Climatologist (Office of the State
Climatologist), Bryan, TX
Desalination
ON:
Gomez, Genoveva Civil Engineer (Brownsville Public Utilities Board), Brownsville, TX
Drought
ON:
Blocker, Trey Attorney (Texas Association of Manufactures), Austin, TX
Brunett, Brad Water Services Manager (Brazos River Authority), Waco, TX
DeGraffenried, Finely City Manager (City of Llano), Llano, TX
Ennenga, Todd Vice President (Pure Stream Technology), Edmond, TX
Guz, Karen Conservation Director (San Antonio Water System), San Antonio, TX
Melder, Webb K. Mayor (City of Conroe), City of Conroe, TX
Rubinstein, Carlos Commissioner (TCEQ), Austin, TX
Womack, Daniel Director of Government Affairs (Texas Comical Council), Austin, TX
Registering, but not testifying:
On:
Stephen, L'Oreal Deputy Director (TCEQ), Austin, TX
Zkery, Mark Executive Director (Texas Commission on Environmental Quality), Austin,
TX
Drought Conditions in Texas
ON:
Faniter, Jr., John W. President (Association of Electric Companies of Texas, Inc.), Austin,
TX
Drought Effects - Montgomery County
ON:
Turner Jones, Kathy General Manager (Lone Star Groundwater Conservation District),
Conroe, TX
Drought Effects to Agriculture and Agriculture Lending
ON:
O'Brien, John Agriculture Lending (Texas Agriculture Finance), Robstown, TX
Drought in West Texas
ON:
Grant, John General Manager (Colorado River Municipal Water District), Big Spring, TX
Drought Response and Impacts - Edwards Aquifer
ON:
Dreher, Karl J. General Manager (Edwards Aquifer Authority), San Antonio, TX
1
WITNESS LIST
Natural Resources
November 1, 2011 9:00 AM
Drought/Wildfire
ON:
DeBerry, Drew Deputy Commisssioner (Texas Department of Agriculture), Austin, TX
Impact of Drought on Agriculture
ON:
Miller, Travis Professor and Extension Specialist (Texas Agriculture Life Extension
Service), College Station, TX
Impact of the Drought
ON:
Marshall, David Engineer Director (Tarrant Regional Water District), Fort Worth, TX
Natural Resources
ON:
Motal, Becky General Manager (Lower Colorado River Authority), Austin, TX
State Water Plan; Water Plan Financial Assistance; and Proposition 2
ON:
Brittin, Carolyn Deputy Executive Administrator (Texas Water Development Board),
Austin, TX
Status of Water Resources
ON:
Mace, Robert TWDB (TWDB), Austin, TX
Texas Parks and Wildlife
ON:
Smith, Carter Executive Director (Texas Parks and Wildlife Department), Austin, TX
Water Conservation and Drought Awareness and Education
ON:
Baker, Carole D. Executive Director (Texas Water Foundation), Austin, TX
Water Infrastructure Funding
ON:
Callahan, Melanie Interim Executive Administrator (Texas Water Development Board),
Austin, TX
Water/Fire Prevention; Oil and Gas
ON:
Sebree, Ben Association Manager (Texas Oil and Gas Association), Austin, TX
Water; Drought in Texas
ON:
Levingston, Jackie Mayor (City of Groesbeck), Groesbeck, TX
Wildfires/Timber loss
ON:
Boggus, Thomas Director (Texas Forest Service), College Station, TX
2


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title=San Francisco date=2012-10-09 type=post tags=blog status=published ~~~~~~
I've moved to San Francisco, CA! Found a nice place in Nob Hill for the king's ransom of 300% of what I was paying in Pasadena, CA, just a few weeks earlier. Anyway... I only mention this because... I'm in town. Let's grab a drink and talk Spring and Cloud Foundry. JUGs? Meetups? Hackathons? Let's do all the meetups. Plus, this has the additional benefit of putting me in town for more of the awesome events / meetings with my SpringSource colleagues! Life is so good sometimes.


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I'm Holden Clark -- Student at Epicodus
I can talk all day about anything related to games, anime, and new technology. Talking all night with friends about the meaning of existence, politics, and the philosophy of things is a favorite pastime of mine.


Hello, my name is Envy. Welcome to my website! This is where you can discover all my stuff, and contact me!
There will be free downloads for some cool and dank stuff! They will be coming soon at a TBH date, so please stay tuned! Please enjoy, and HMU with the contact info provided below!
Click on each item to be taken to the Mediafire link for download!
Give a suscribe to my YouTube Channel? Will be releasing more for my supporters!
If you want to purchase any of my services, or just say hi, use this contact form!


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Interactive Scoreboard - Coming Soon
- Find the Reflected XSS attack
<script>alert('hi')</script>
- Find the angular constructor XSS attack
- Make yourself an admin using by mass assigning via the API
- Bypass the admin page restriction on the web app
- Find the actual administrator account in a file
- Find the session secret for JWT/sessions.
- Decode a JWT token
- Delete another users photos
- Change another users profile
- Using CSRF create a link to delete a photo you uploaded
- Log in as another user by bypassing authentication
- Find the Mongo Rest API
- Find the Mongo HTTP interface
- Upload something that is not a photo
- Inject on the admin page to find all users
- Inject on the admin page to find all likes
- Inject on the admin page to find all loves
- Inject on the admin api to find all users
- Inject on the admin api to find all likes
- Inject on the admin api to find all loves
- Give yourself more money!
- Brute Force User/Passwords
- Mongo Race Condition


--- layout: default title: "About us" permalink: /about/ ---
This summer school addressed recent developments in adaptive optics and interferometry with an emphasis on VLTI and E-ELT instrumentation. Over the course of two weeks, eighteen students from Europe and Latin America gathered in Santiago, Chile, to learn from experts, socialise and learn about other areas of instrumentation from each other. In addition they were given a guided tour of the ESO facilities at Paranal observatory.
In 2015, half of the students met in Heidelberg to give talks, socialise and visit the facilities at MPIA and the Landessternewarte, Heidelberg, Germany. Following this first unofficial meeting, the idea grew to start a yearly gathering for instrumentation graduates and early postgraduates to network, visit institutes involved in instrumentation for astrophysics and learn about other fields within astronomical instrumentation.
We therefore built NYRIA for Network of Young Researchers in Instrumentation for Astrophysics. This network focuses on ground-based instrumentation in the visible-infrared domain.
The next generation of telescopes and instruments will be built by large international consortia. Therefore, it is essential that the next generation of astronomical instrumentalists get to know each other in preparation for working in these groups. To this end we aim to make these meetings annual and hope that the network of early career researchers grow and strengthen. This will allow us to update our research and findings, exchange ideas and discuss recent developments in everyone’s field. The topics will span from hardware and software, to topics as diverse as wavefront sensing, coronagraphy, spectroscopy, fiber optics, and post-processing techniques to reach the limit of current and future instruments.
Attendees and organisers of the 2014 Summer School, "Reaching the limits of the sky, astronomical instrumentation in the 21st Century".


Our Branches around the world
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Open Hours " 6am - 7pm "
Location : "1910 Post Alley, Seattle, WA 98101, United States"
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Personal assistant PA, executive secretary, executive assistant
Personal assistants give secretarial and administrative support to managers.
1. How to become personal assistant
To become a personal assistant you’ll need to show you’ve got administration skills. You could:
- study at college for a level 2 or 3 qualification in business administration
- study at university for a business-related foundation degree, higher national diploma (HND) or degree
- do an apprenticeship in business administration
- get work experience and train on the job
Foreign language qualifications may also be useful if you plan to work in an organisation that deals with overseas visitors and clients.
Having extra skills like shorthand and audio typing can also help you get in.
College
You could take a recognised qualification in business administration or office skills. Useful courses include:
- Level 2 Certificate in Business and Administration
- Level 2 Certificate in Business Support
- Level 2 Diploma in Business Administration
Find a course in business administration or support near you
You may be able to get financial help to do a course.
Private training providers also offer short, intensive courses.
You’ll usually need to be employed in a junior administration role, or be willing to do voluntary work or a work placement.
University
To get onto a business-related foundation degree or HND you’ll usually need 2 A levels and at least 2 GCSEs (or equivalent) at grade 4 (C) or above in English and maths.
For a degree, you’ll usually need 2 to 3 A levels and 5 GCSEs (or equivalent) at grade 4 or above.
UCAS has information on degree courses and entry requirements.
You can apply for student finance to cover fees and living costs.
Apprenticeship
You could take an intermediate or advanced level apprenticeship in business administration before working your way up to a PA position.
To get onto an apprenticeship, you’ll usually need GCSEs at grades 9 to 4 (A* to C), including maths and English language. Employers may also accept equivalent level 2 qualifications.
Work
You could get a temporary job. This can be a good way of getting administration experience and can often lead to a permanent job.
If you’re already working as an administrator or secretary, you could work your way up to a personal assistant role.
To get work, you’ll usually need GCSEs (or equivalent) at grades 9 to 4 (A* to C) in English and maths.
2. Skills
You’ll need:
- excellent organisational and time management skills
- good written and spoken communication skills
- accuracy and attention to detail
- a calm and professional manner
- excellent computer and administration skills
- a flexible and adaptable approach to work
- the ability to use your own initiative
- tact and discretion, for dealing with confidential information
3. What you'll do
Your day-to-day tasks may include:
- screening telephone calls and handling enquiries
- organising your manager’s diary and making appointments
- dealing with letters and emails
- arranging meetings
- organising and maintaining office systems
- taking notes at meetings
- making travel arrangements
- looking after visitors
Many managers rely heavily on their PA and give them a high level of responsibility, so in some jobs you may have extra tasks like:
- standing in for the manager in their absence
- acting as office manager and supervising other administrative staff
- dealing with accounts and budgets
- taking on project work, like research or producing reports and presentations
4. Salary
Starter: £18,000 to £25,000
Experienced: £25,000 to £40,000
Highly Experienced: £40,000 to £50,000
These figures are a guide.
5. Working hours, patterns and environment
You’ll usually work 37 to 40 hours a week Monday to Friday, possibly with extra hours to meet deadlines.
You’ll be based in an office, but may travel to go to meetings and other events.
6. Career path and progression
With experience, you could take on more responsibility by moving to a larger company or working for a more senior manager.
Promotion to management may also be possible.
Related careers
You may be interested in:
7. Current opportunities
Apprenticeships In England
Personal Assistant Apprenticeship
- Weekly wage: £140.00
- Weekly hours: 40.00
- Location: Chigwell
Apprentice Personal Assistant
- Annual wage: £16,039.00
- Weekly hours: 36.50
- Location: Oxford
Training courses In England
PA & Business Professional Studies Level 1/Level 2
- Provider: WKCIC GROUP
- Start date: 01 September 2017
- Location: LONDON
EDEXCEL Func Skills Maths L2 CIND (PA)
- Provider: NEWCASTLE COLLEGE
- Start date: 03 September 2017
- Location: Newcastle upon Tyne
Last updated: 23 March 2016


Class: Server::Response
- Inherits:
-
Object
- Object
- Server::Response
- Defined in:
- lib/server/response.rb
Overview
This helper function parses the extension of the requested file and then looks up its content type.
Instance Method Summary (collapse)
- - (Object) content_type(file)
-
- (Response) initialize(request, server)
constructor
A new instance of Response.
- - (Object) log(msg)
- - (Object) print(msg)
- - (Object) send(code, message)
- - (Object) send_301(redirect_to)
- - (Object) send_404
- - (Object) send_file(path)
Constructor Details
- (Response) initialize(request, server)
Returns a new instance of Response
21 22 23 24 25 |
# File 'lib/server/response.rb', line 21 def initialize(request, server) @request = request @socket = request.socket @server = server end |
Instance Method Details
- (Object) content_type(file)
43 44 45 46 |
# File 'lib/server/response.rb', line 43 def content_type file ext = File.extname(file).split(".").last CONTENT_TYPE_MAPPING.fetch(ext, DEFAULT_CONTENT_TYPE) end |
- (Object) log(msg)
27 28 29 |
# File 'lib/server/response.rb', line 27 def log msg @server.log msg end |
- (Object) print(msg)
31 32 33 |
# File 'lib/server/response.rb', line 31 def print msg @socket.print msg end |
- (Object) send(code, message)
73 74 75 76 77 78 79 80 |
# File 'lib/server/response.rb', line 73 def send(code, ) print "HTTP/1.1 #{code} Not Found\r\n" + "Content-Type: text/plain\r\n" + "Content-Length: #{.size}\r\n" + "Connection: close\r\n" + "\r\n" + end |
- (Object) send_301(redirect_to)
48 49 50 51 52 53 54 55 56 57 58 |
# File 'lib/server/response.rb', line 48 def send_301 redirect_to redirect_to.slice!("web_root") redirect_to = "http://#{<EMAIL_ADDRESS>log "301: redirect to #{redirect_to}" # respond with a 301 error code to redirect print "HTTP/1.1 301 Moved Permanently\r\n" + "Location: #{redirect_to}\r\n"+ "Connection: close\r\n" end |
- (Object) send_404
35 36 37 38 39 40 41 |
# File 'lib/server/response.rb', line 35 def send_404 code = 404 = "404: File<EMAIL_ADDRESS>not found\n" log "404: File not found<EMAIL_ADDRESS>send(code, ) end |
- (Object) send_file(path)
60 61 62 63 64 65 66 67 68 69 70 71 |
# File 'lib/server/response.rb', line 60 def send_file path<EMAIL_ADDRESS>"rb") do |file| print "HTTP/1.1 200 OK\r\n" + "Content-Type: #{content_type(file)}\r\n" + "Content-Length: #{file.size}\r\n" + "Connection: close\r\n" + "\r\n" # write the contents of the file to the socket IO.copy_stream(file, @socket) end end |


public class GlyphBuffer
extends java.lang.Object
| Modifier and Type | Field and Description |
|---|---|
protected Region |
bounds
The region which spans from the origin (0, 0) in the upper-left
corner to the maximum dimensions on the x- and y-axis.
|
protected java.util.List<GString> |
buffer
The rows of
GString s which make up this frame. |
| Constructor and Description |
|---|
GlyphBuffer(Region bounds) |
| Modifier and Type | Method and Description |
|---|---|
void |
clear()
Clear all characters out of this frame's buffer.
|
GlyphBuffer |
createClippedBuffer(Region region)
Creates a new
GlyphBuffer , copying the data which this one
contains within the given region, where the coordinates of the start of
this region become (0, 0) in the new GlyphBuffer. |
Region |
getBounds() |
Glyph |
getGlyph(Location location)
Returns the glyph which occupies the given location.
|
GString[] |
getGlyphs(Region region)
Given a region, this method will return all glyphs within that region as
an array of strings.
|
GString |
getString(int line) |
void |
update(Glyph glyph,
Location... locations)
Updates the each of the
Location s within this buffer so that
they contain the given glyph. |
void |
update(Glyph glyph,
Location location)
Updates the character at the specified index.
|
void |
update(GString[] lines,
Location start)
For each
GString in the array, this method updates the frame at
the start location, starting at the given line and incrementing by one
for each subsequent element in the array, and retaining the position for
all lines added to the buffer. |
void |
update(GString glyphs,
Location start)
Starting at the given
Location , this method will will replace
the glyphs from start to the length of the string, assuming that this
string is within the bounds of the buffer. |
protected java.util.List<GString> buffer
The rows of GString
s which make up this frame. Each GString
represents a line in the buffer, where a line spans the width of the
frame specified in the initial context when the terminal that this
frame belongs to is constructed, or whenever this frame is resized.
This buffer is a dynamic list so that the frame is readily adaptable when the frame is requested to resize; though characters added to the buffer outside of the current bounds will be ignored.
protected Region bounds
public GlyphBuffer(Region bounds)
public void update(Glyph glyph, Location location)
glyph
- The glyph to insert.location
- The location to place this glyph.public void update(Glyph glyph, Location... locations)
Location
s within this buffer so that
they contain the given glyph.glyph
- The Glyph
to insert into each of the given
locations.locations
- The Locations to insert the Glyph into.public void update(GString glyphs, Location start)
Location
, this method will will replace
the glyphs from start to the length of the string, assuming that this
string is within the bounds of the buffer.glyphs
- The string to place in the buffer.start
- The Location
of the first glyph.public void update(GString[] lines, Location start)
GString
in the array, this method updates the frame at
the start location, starting at the given line and incrementing by one
for each subsequent element in the array, and retaining the position for
all lines added to the buffer.lines
- The strings to place in the frame.start
- The location for the first character in the first line of
the array.public Glyph getGlyph(Location location)
location
- The location in this buffer where the glyph is stored.public GString getString(int line)
public GString[] getGlyphs(Region region)
region
- The region in which the glyphs are contained in.GString
s,
where each string in the array represents one line in the
buffer from the start to the end position.public GlyphBuffer createClippedBuffer(Region region)
GlyphBuffer
, copying the data which this one
contains within the given region, where the coordinates of the start of
this region become (0, 0) in the new GlyphBuffer.region
- A Region
with coordinates which are within this
buffer.GlyphBuffer
that contains a copy of the data
within the given Region in this buffer.public void clear()
public Region getBounds()


Row 2: h2 header
h4 header
This box has 8 columns
h4 header
This box has 4 columns
Row 3: h2 header
h4 header
This box has 9 columns
Panel title
Panel content
This box has 3 columns
The background of this Jumbotron has a fixed background image: Arimo
This box has 8 columns
This box has 4 columns
This box has 9 columns
This box has 3 columns


{% extends "core.html" %} {% block body %}
Share your exported multimc instances with your friends here
This website is designed to make sharing minecraft instances exported using multimc easier. You can upload an exported instance here and give the link to your friends. MultiMC supports importing an exported instance via a direct download url that this server will provide.
To upload an instance, navigate to the upload page, give your instance a name, click "Choose File" to select the exported instance file from MultiMC, then click "Upload Instance" to submit the form. You will be taken to the unique page generated for your instance where you can copy the download link to share with friends.
You can view all of the uploaded instance by navigating to the view page.
From the view page and the instance detail page provide links to download the exported MultiMC instance. You can copy this link and paste it into MultiMC as the url for a direct download when importing as a zip.
{% endblock body %}


Click on the blanks and then click on the correct Interrogative Pronouns or Question Words from the boxes, to complete the questions.
1)
Who
2)
When
3)
Which
4)
What
5)
Whose
6)
Why


We help organizations create
in a practical, thorough and cost-effective way.
We focus on
and
and how to automatically generate practical and standard Java Enterprise Application
Systems in a straight-forward way. We demonstrate this by example.
A
reads an architectural specification and automatically creates
executable and testable distributed
.
Auto-generated systems will run on
standalone, or on clustered or cloud-ready
.
TODO
TODO


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Static - Low precision (left) and high precision (right)
Random - Low precision (left) and high precision (right)


Young and dynamic custom software outsource and outstaffing business partner who will thoroughly farmiliaze ourselves with your
business and help drive efficiency and development. We help you on-board talented professionals for efficient and robust
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Tecwi was founded in 2011 by software developers with years of commercial experience in the UK, Europe, the USA and Canada.
We are London based private limited company with the development hub in Ukraine.
Our values is to go beyond clients' expectations by bringing together innovations, technology and talent.
Our mission is to meet enterprise challenges and address innovative business opportunities in order to maximize business result.


Create a docker container for Jekyll blog site
by Wenwei Weng
I haven’t updated my blog for various reasons, one of them is due to my laptop changed including while I was at Cisco and then moved to Palao Alto networks. Jekyll is a very nice framework for blog site. However setting up the development eviroment is not trial while all things are moving include ubuntu OS, ruby version, gem version, jekyll version, plus github, plus I was doing it using a VM running inside VirtualBox. It is not a pleasant expereince every time when I changed my laptop even though I did back up my VM. Mostly it stopped work. This time, I decided to make my bog development into Docker container. To share with others and also remind my self in the future, here are details:
- Step#1 install docker follow steps here: https://docs.docker.com/engine/install/ubuntu/
- step#2: docker pull ubuntu:20.04
- step#3: run docker ubuntu
- step#4: install ruby version 2.7.2 thru rvm inside container https://www.digitalocean.com/community/tutorials/how-to-install-ruby-on-rails-with-rvm-on-ubuntu-20-04 step#5: install jekyll
- step#6 find a jekyll theme to use https://jekyllthemes.io/free
- step#7 install required gems for jekyll to run Make sure the generated blog site is working.
-
step#8 Customize your blog site
Clean up all sample dummy posts under "_posts" directory, change "about.mk" etc...
- Editing _config.yml for your blog site title.
- Create blog post under "_posts" using markdown
- Rebuild blog site: bundle exec jekyll server -H <IP_ADDRESS>
- The site pages are created under directory "_site", which should be copied to deployment site. In my case, I created github repo "weweng.github.io", and upload over there.
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Have you ever been to a Disney Park?
Who is your favorite Disney character?
Which disney park would you like to visit?


This component is generally used in combination with another. See
basic-tabs
for a complete example.
Page one
Page two
Page three


Course Sign Up Page
Please Note. First name, Last name, Password, and Email are required
First name:
Last name:
Email:
Last name:
Are you ower 18?
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No
Do you have cradit card or paypal
Credit Card
PayPal


I’m breaking from the series of web security posts in a diversion that I hope will end in an acceptable solution to a problem I’ve been experiencing. The problem is not unique and many solutions exist for it: I have a bunch of directories that I’d like to sync between multiple machines. I’ve been using rsync
, and while I’m sure it’s possible to wrangle it into doing what I’d like, I’m interested in a more elegant solution. Enter Syncthing.
The de facto standard solution for the problem stated above is Dropbox. Dropbox is great and Just Works™, but I’d like a self-hosted solution. Not only that, but I don’t need any of the bells and whistles that Dropbox offers and it’s another excuse to fiddle around with technoligically interesting things.
Syncthing has different flavors for different operating systems and in this case I’m running CentOS 7. You can find the unofficial Syncthing RPM and accompanying directions here.
I had to install rpmdevtools
before following the instructions above, though you may have to install all of the additional packages suggested in the documentation:
$ sudo yum install rpmdevtools
Now we can install the RPM and proceed:
$ yum install https://github.com/mlazarov/syncthing-centos/releases/download/v0.14.7/syncthing-0.14.7-0.el7.centos.x86_64.rpm
Once the RPM is installed, we can set up the necessary directory structure, clone the repo, and build the package:
$ git clone https://github.com/mlazarov/syncthing-centos.git rpmbuild/
$ mkdir -p ~/rpmbuild/{BUILD,RPMS,SOURCES,SPECS,SRPMS}
$ echo '%_topdir %(echo $HOME)/rpmbuild' > ~/.rpmmacros
$ cd ~/rpmbuild/SOURCES/
$ spectool -g ../SPECS/syncthing.spec
$ cd ~/rpmbuild/SPECS/
$ rpmbuild -bb syncthing.spec
The Getting Started guide walks through the configuration process by advising us to configure Syncthing at https://localhost:8384
; since I’m configuring Syncthing on a remote server, I found that the configuration section of the documentation helped me get to the point where I could reach the admin console over the Internet.
First, start the service to generate the .config
directory for Syncthing:
$ sudo systemctl start syncthing@<username>
We can now find Syncthing’s config file at $HOME/.config/syncthing
; let’s open it and make some alterations so that we can get to the admin console. Find the <gui>
element and change the value for the <address>
child element to reflect the value for the IP address at which we’ll be reaching the admin console:
<gui enabled="true" tls="true">
<address><IP_ADDRESS>:8384</address>
<apikey>l7jSbCqPD95JYZ0g8vi4ZLAMg3ulnN1b</apikey>
<theme>default</theme>
</gui>
Once this is done, restart the service and connect to the address that we entered above. You should receive a warning about the interface being open to the internet; click on the settings button and set up a username/password and check the box to enable HTTPS. Restart the service and reload the page.
Next we’ll need to configure Syncthing on other devices that expect to participate in synchronizing directories and files. I’m running Syncthing on OS X, so that’s the only platform I’ll cover (unless I decide to start using it on Windows, in which case I’ll update this at that point).
I found that this GitHub project seems to be the best maintained of the Community Contributions. Not only that but it provides a DMG for installation which you can find at the hyperlink included in the last sentence. Use the DMG to install Syncthing; a window should prompt you to move the Syncthing icon into the ~/Applications
directory, which you should do. Go ahead and double-click the application; Syncthing should open its web interface at http://127.0.0.:8384
. When I set everything up, Syncthing was configured to auto-update, which it did. After restarting, the web interface was not reachable. I didn’t want to wrestle with it, so I turned off auto-update in settings, moved the application to the trash, reinstalled it and everything worked.
To add other devices, you can click “Show ID” under the Actions drop down menu, copy the ID, click “+Add Remote Device” in the other machine’s web console, and paste the ID. Once this is done, you should see a prompt on the other web console to add another remote device which configures everything once you accept it. The last thing that I did—configuration-wise—was designate the headless server as an “Introducer;” this means that any additional devices added via the web interface on the headless server will be auto-configured on any additional devices. Pretty cool.
Now you can configure synced directories to your heart’s content.


If an element already has a class attribute then the new attribute will be appended to the existing value, separated by space.
fred
When marked as a success becomes:
fred


The six areas along the circumference of the LHC that will gather data and conduct experiments are simply known as detectors. Some of them will search for the same kind of information, though not in the same way. There are four major
detector sites and two smaller ones.
The detector known as A Toroidal LHC ApparatuS (ATLAS) is the largest of the bunch. It measures 46 meters (150.9 feet) long by 25 meters (82 feet) tall and 25 meters wide. At its core is a device called the inner tracker. The inner
tracker detects and analyzes the momentum of particles passing through the ATLAS detector. Surrounding the inner tracker is a calorimeter. Calorimeters measure the energy of particles by absorbing them. Scientists can look at the path
the particles took and extrapolate information about them.


The following breakdowns are currently available in published absence statistics.
| National level | ||
|---|---|---|
| Absence rates | Overall, authorised and unauthorised absence rate breakdowns. Time series. | |
| Those who are persistent absentees | Those missing 10 per cent or more of their own possible sessions in the period. Time series. | |
| Absence by reason | Breakdown of absence by reason. [Available by gender in combined autumn and spring and full year releases.] | |
| Pupils who miss one or more session due to absence by reason | The number and percentage of pupils missing one or more session for overall, authorised and unauthorised absence and for individual reasons for absence | |
| Absence by reason for persistent absentees | * | Breakdown of absence by reason for pupils who are classified as persistent absentees. |
| Absence by pupil characteristic | * ~ | Overall, authorised and unauthorised absence rates by gender, free school meal eligibility, free school meal eligibility in the last 6 years, national curriculum year group, first language, SEN provision and ethnic group. |
| Characteristics of persistent absentees | * ~ | Persistent absence rates as well as the overall, authorised and unauthorised absence rates for persistent absentees by gender, free school meal eligibility, free school meal eligibility in the last 6 years, national curriculum year group, first language, Special Educational Need (SEN) provision and ethnic group. |
| Absence levels by SEN primary need | * | Including overall, authorised and unauthorised absence rates and persistent absence rates by SEN pupil’s primary need. |
| Distribution of enrolments by overall absence (days) | * | Distribution of pupil enrolments by length of overall absence in days and by overall absence rates. |
| Distribution of schools by the percentage of persistent absentees | * | Including the number of schools by persistent absence rate brackets. |
| Pupil absence in schools by IDACI decile | * | Including overall, authorised and unauthorised absence rates and persistent absence rates by income deprivation affecting children indices (IDACI) decile of pupil residence. |
| Local authority level, available local authority tables (full year release only) or accompanying csv files (all releases) | ||
| Absence rates | Overall, authorised and unauthorised absence rate breakdowns | |
| Those who are persistent absentees | Those missing 10 per cent or more of their own possible sessions in the period | |
| Absence by reason | A breakdown of absence sessions by reason | |
| PRU absence | Overall, authorised and unauthorised absence rates, persistent absentee rates and absence by reason in pupil referral units (PRUs) | |
| Pupils who miss one or more session due to absence by reason | The number of pupils missing one or more session for overall, authorised and unauthorised absence and for individual reasons for absence | |
| Absence and persistent absence by pupil characteristic | * ~ | Overall, authorised, unauthorised and persistent absence rates and absence by reason by gender, free school meal eligibility, free school meal eligibility in the last 6 years, national curriculum year group, first language, SEN provision and ethnic group. |
| Pupil absence in schools by IDACI decile | * | Including overall, authorised and unauthorised absence rates and persistent absence rates by income deprivation affecting children indices (IDACI) decile of pupil residence and school location. [Available at LA District level] |
| Four year old absence | Overall absence rates for four year olds | |
| School level, available via underlying data only | ||
| Absence rates | Overall, authorised and unauthorised absence rate breakdowns | |
| Those who are persistent absentees | Those missing 10 per cent or more of their own possible sessions in the period | |
| Absence by reason | A breakdown of absence sessions by reason | |
| Four year old absence | Overall absence rates for four year olds |


02. Write a script that shows the sign (+ or -) of the product of three real numbers without calculating it. Use a sequence of if statements
The result is printed on the JS console...


I am a pre-final year student of Bachelor of Technology in Information Technology at Maharaja Agrasen Institute of Technology.
I am a machine learning enthusiast and also a talented web developer.I have experience in the field of deep learning, Natural language processing(NLP), Text processing and Computer vision. I am a quick learner having a out of the box thinking.My motto in life is "if you can think it, you can do it".
Binge is a food discovery app.During my internship, I got to design the dashboard for restaurants and use technologies such as node.js, angular, firebase and cloud firestore.
Information Technology
Percentage(till 4th semester) : 80
CGPA (till 4th semester) : 8.5
percentage : 94.00
CGPA : 9.4
I am a backend developer with experince in Node.js, Angular, socket.io.I also have knowledge of HTML, Css, Javascript.
I have experinece in machine learning, deep learning, Natural language processing, Computer vision, Text Processing, Machine learning and deep learning models
I am currently looking for internship in the field of data science, Machine learning, Deep learning, NLP. I am available for full time internship as well as willing to work from home as an intern.


By the end of this module students will be able to:
Construct ratios and percentages from raw data in multiple forms, including fractions and decimals, that will be used to interpret information related to school discipline.
Judge the validity of claims related to school discipline using ratios and percentages.
Explain the meaning of a probability statement and its connections to school discipline.
Articulate if two related events are mutually exclusive and apply this skill to make judgments about the school-to-prison pipeline.
Calculate the probability of an event not happening and apply this skill to make judgments about the school-to-prison pipeline.
Calculate the sum of probabilities for multiple outcomes and apply this skill to make judgments about the school-to-prison pipeline.
Calculate the probability of two or more independent events occurring using multiple methods, including a formula and a simulation, and use this skill to make judgments about the school-to-prison pipeline.
Analyze and interpret data about school discipline provided in the form of raw numbers, tables, and graphs.


The threads view is located in the right-upper side of the debugger window (under the local variables view and above the registers view).
Note:
The ID displayed under the "Thread" column is the internal task ID
by which threads are known to the kernel, and not the id returned by the
pthread_create()
call. The pthread ID can be seen in a tooltip,
when moving the mouse over the items.
Note: The pthread ID is not available for threads read from a core dump. No pthread ID is available for single-threaded programs.
Single-clicking on a thread in the tree switches the view to the context of that thread (this includes code code, stack view, registers and variables).
For simplicity, processes created with the fork
system call
are shown in this view as well (they are marked distinctively from threads created with
the clone
call).
The "Debug" column allows the user to control which threads are of interest for debugging. If a box in this column is not checked, then the execution will not break into the debugger when signals occur in the corresponding thread.


Thank you for using Asana Navigator!
I made some important updates:
My name is Shun Sakurai, a translator, an amateur programmer, and an Asana Ambassador.
I'd love to hear from users and developers to create better tools.
I'm really happy that many people are using my tool. If you like this extension, I'd appreciate it if you could support me through PayPal with any price you set. I'll use it for buying books to learn more about programming and create better tools.


Watch: BJP candidate in Karimpur bye-poll accuses TMC workers of beating him up
by Scroll StaffThe TMC has denied the allegations made by a vice-president of the BJP in West Bengal.
Bharatiya Janata Party’s West Bengal Vice President Joy Prakash Majumdar was allegedly assaulted by the workers of the Trinamool Congress Party during the Karimpur bye-poll on Monday.
In the video of the incident, a group of men can be seen beating up Majumdar and pushing him into the bushes. The incident occurred in the Phipulkhola area of Nadia district when he was entering a polling booth, news agency PTI reported. Majumdar is the BJP candidate in the Karimpur bye-poll.
The BJP leader reportedly called this incident the “clear sign of end of democracy in West Bengal”.
Other BJP leaders from the state posted updates on social media in support of Majumdar.
The TMC has denied the allegations, the PTI report added. The party’s Nadia district unit said that Majumdar was attacked by the locals “for vitiating the poll atmosphere”. The Election Commission has sought a report into the incident.
Also read
West Bengal, Uttarakhand bye-elections: Polling under way in four Assembly seats
Read Comments


{% extends "layout.html" %} {% set loggedIn = true %} {% block page_title %} GOV.UK prototype kit {% endblock %} {% block content %} What do you want to edit? Change event details Change event tags (sector, market or target experience) {% endblock %}


--- layout: default title: Homepage ---
A list of my pre-prints and publications can be found at inSPIRE.
I wrote these notes to help learn these topics myself. Comments and corrections are welcome through email.
1. An introduction to Orientifolds
2. An introduction to Seiberg-Witten Theory
3. Tests on dualities using global symmetries and anomalies
4. Surface Defects in Theories of Class R
In the Summer and Fall of 2019, I organized a learning seminar based on David Tong's notes on Gauge Theory.
I am also a frequent speaker at Geometry and String Theory Seminar.
I served as a secondary TA to Pavel Putrov's course on TQFTs, knots and BPS states at PCMI, 2019.
At Lahore University and Management Sciences and UT Austin I have served as a TA to various undergrad Physics and Mathematics courses since 2013.
1. Six essays I wrote on the topics of current interest in Beyond the Standard Model Particle Physics.
2. A talk on Seiberg-Witten Theory I gave in Urdu & English.
3. The Statement of Purpose I wrote for my graduate application in 2015.


Data Logging Tool
Profit & Loss/ Wage Bills
Report
Images & References
Premier League Table
Football Data API
Premier League 2019-2020 Data Logging Tool
Choose your favourite team from the dropdown below, submit then refresh the page to see your vote being added!
AFC Bournemouth
Arsenal FC
Aston Villa FC
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This is a little program which generates random names based on letters frequency. It generates completely random names, not related to any real ones. Of course, it can accidentally create existing names or even words.
Length option defines name length. Minimum is 2 letters length and maximum is 10. However, long names (with length 7 and more) trend to look less natural.
A few names styles are available in the program. General is most random, plus it allowes two vowels or consonants go one after another in a row, that is clusters and diphthongs are possible (but random). Simplistic style will always have a vowel following a consonant and vice versa, disallowing clusters; usually such names will be easiest to pronounce and look most natural. Soft style has generally more vowels and adjusted frequencies for all letters. Harsh style has more consonants and frequencies are changed too to make it sound more hard and strong. Snake style is for fun, made to resemble snake's hissing.
Favourite option makes possibility for encountering certain letter dramatically higher.
Quantity option lets to generate many names at once.
Readme and source code can be found here.
You can also define name "skeleton" yourself, 0 (zero) for vowels, 1 (one) for consonants:


Press the 'Plot' button to produce a plot for the displayed 3x3 matrix. You
can edit the values in the matrix by hand, or generate new random values by
pressing the button. Press on the plot labels to show or hide corresponding
plot elements.
It seems like ages ago that Professor Richard S. Varga and I wrote a Java applet (Java version 1.04!) together with Alan Krautstengl for the journal ETNA[9]. I've updated that old work for the modern era here. Consider this a small dedication to Professor Varga as thanks for his wonderful enthusiasm for—and significant contributions to—mathematics.
The plot above illustrates two eigenvalue inclusion methods. The methods produce sets in the complex plane that are guaranteed to contain the eigenvalues of a matrix. The methods are cheaper to compute than precise eigenvalue estimates for large matrices, but the inclusion sets might be big.
Gerschgorin's theorem[4] defines perhaps the most famous eigenvalue inclusion method. Let $A = [a_{ij}] \in \mathbb{C}^{n\times n}$ be an $n\times n$ matrix and let $R_i$ be its $i$th off-diagonal row sum defined by $R_i = \sum_{j\ne i} |a_{ij}|$. The Gerschgorin disks are the set \[ \bigcup_{i=1}^n \{z\in\mathbb{C}: |z-a_{ii}| \le R_i\}, \] and the Gerschgorin theorem states that the above set contains the eigenvalues of $A$. (The theorem is elegant but elementary, try to prove it before looking it up!)
Gerschgorin's theorem says that if we replace a matrix with only two numbers per row, the diagonal entry and off-diagonal row sum, then we can still bound where its eigenvalues will be!
It's easy to see that Gerschgorin's theorem also applies to off-diagonal column sums of $A$ (by considering $A^H$, for example). Indeed, the union of the Gerschgorin sets of $A$ and those of $A^H$ may provide tighter bounds than illustrated here. One can further consider how tight one can make Gerschgorin-based estimates of eigenvalues, and Professor Varga has had a lot to say about this[8].
Each Gerschgorin disk uses data from one row of the matrix $A$. What if we consider two rows at a time? Can we find sets that contain $A$'s eigenvalues similarly to the Gerschgorin theorem? This question was answered (affirmatively) by Alfred Brauer in 1947 when he came up with sets that he called the ovals of Cassini[1].
Let the $ij$-th oval of Cassini of the matrix $A$ be defined by: \[ K_{ij}(A) = \{z\in\mathbb{C}: |z-a_{ii}|\cdot|z-a_{jj}| \le R_iR_j\}, \] where $i,j=1,2,\ldots,n$, $i\ne j$, and $R_i$ is the $i$th off-diagonal row sum of $A$ defined above. There are $n(n-1)/2$ total ovals of Cassini for an $n\times n$ matrix. That is generally more than the total number of $n$ Gerschgorin disks—except, notably, in the interactive example above. Brauer showed that the eigenvalues of the matrix $A$ are included in the union of all its ovals of Cassini.
Are the ovals of Cassini better at bounding eigenvalues than Gerschgorin diks? The answer is yes! The ovals of Cassini are always at least as good as the Gerschgorin disks at estimating the eigenvalues of any matrix, a result first mentioned by Brauer in 1958[2] but only sparsely elsewhere (see [7]). (As you play with the small interactive example above, you will see that the ovals of Cassini always lie within the Gerschgorin disks.) This result is not so well-known. Varga([7] and [6]) and Varga and Krautstengl[9] show even more—that under very general conditions the ovals of Cassini define optimal (tightest) eigenvalue inclusion sets among methods that use the same amount information.
What about considering three or more rows of a Matrix at a time? Can the inclusion bounds be improved even more? Remarkably, in general the answer is no! Generalizations to three or more rows at a time might not even contain all the eigenvalues. This is shown with a counter-example in Horn and Johnson's book[5, p. 382]. However, see Brualdi's really interesting paper [3] for an extension of Gerschgorin and Brauer's ideas to more rows that does work for special matrices related to directed graphs.
The plotting program is written in Javascript and relies on the superb d3.js library. LaTeX expressions are rendered using the MathJax library. All source code files are available on Github at https://github.com/bwlewis/cassini. You can view a live version of this document there at: http://bwlewis.github.io/cassini/.
I considered many available numeric libraries for Javascript, including the very admirable NumericJavascript project. After many experiments, I was never fully satisfied, mostly because few (none that I could find) projects support eigenvalue solvers for complex-valued matrices.
In the end, I broke my usual rule of not re-inventing the wheel and implemented a really simple and tiny complex-value type and supporting library for Javascript myself available here: https://github.com/bwlewis/cassini/blob/master/complex.js. Feel free to fork it, use it, whatever. It's pretty basic but it does support complex-valued matrix multiplication, complex-valued matrix QR decomposition, and a few other things.
This section outlines the approach the interactive example takes to numerically estimate and display the ovals of Cassini.
Let's consider just one oval using rows 1 and 2 of the matrix $A$. We parameterize the corresponding oval of Cassini by the following process:
Eigenvalue solvers applied to an appropriate companion matrix are the normal way to find roots of higher-order polynomials. But in our case, the 4th degree polynomial was simple enough (monic, real-valued coefficients) to admit a fast direct algebraic solution. If you want to extend this to larger matrices, you'll need to use an iterative eigenvalue solver instead.
Finding points on the boundary of the ovals of the Cassini is one problem, and properly displaying them an entirely different one. Depending on how far apart the diagonal elements are and the relative sizes of the off-diagonal row sums, the ovals can form many interesting shapes including figure eights and two distinct sub-ovals. In the latter case the roots of the corresponding polynomial consist of four real values instead of two. When this happens, we have to be careful to order the points carefully to draw ordered contiguous boundary point values in d3.js or else the figure will zig/zag between boundary values and not get filled in properly. The code goes to some effort to get this right, but I think that there are still some edge cases where it's not quite working perfectly yet!
I'm Bryan W. Lewis. I have a web page here: http://illposed.net.
All code associated with this web page is free and open source.
I encourage you to fork, use, re-use, improve, modify, learn how to do,
learn how not to do, and play with the code on Github here:
https://github.com/bwlewis/cassini. You can view a live version of this document there at:
http://bwlewis.github.io/cassini/.
The d3.js library is written by Michael Bostock
licensed under the three-clause BSD license.
The MathJax library is written by
The MathJax Consortium and licensed under the Apache License, version 2.
The Gerschgorin and Brauer's ovals of Cassini program and associated
complex.js library were written by me and are licensed under the three-clause
BSD license.


| 1 | /* | |
| 2 | * Licensed to the Apache Software Foundation (ASF) under one or more | |
| 3 | * contributor license agreements. See the NOTICE file distributed with | |
| 4 | * this work for additional information regarding copyright ownership. | |
| 5 | * The ASF licenses this file to You under the Apache License, Version 2.0 | |
| 6 | * (the "License"); you may not use this file except in compliance with | |
| 7 | * the License. You may obtain a copy of the License at | |
| 8 | * | |
| 9 | * http://www.apache.org/licenses/LICENSE-2.0 | |
| 10 | * | |
| 11 | * Unless required by applicable law or agreed to in writing, software | |
| 12 | * distributed under the License is distributed on an "AS IS" BASIS, | |
| 13 | * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | |
| 14 | * See the License for the specific language governing permissions and | |
| 15 | * limitations under the License. | |
| 16 | */ | |
| 17 | package org.apache.commons.collections4; | |
| 18 | ||
| 19 | import java.util.ArrayList; | |
| 20 | import java.util.EmptyStackException; | |
| 21 | ||
| 22 | /** | |
| 23 | * An implementation of the {@link java.util.Stack} API that is based on an | |
| 24 | * ArrayList instead of a Vector, so it is not | |
| 25 | * synchronized to protect against multi-threaded access. The implementation | |
| 26 | * is therefore operates faster in environments where you do not need to | |
| 27 | * worry about multiple thread contention. | |
| 28 | *
 | |
| 29 | * The removal order of an ArrayStack is based on insertion | |
| 30 | * order: The most recently added element is removed first. The iteration | |
| 31 | * order is not the same as the removal order. The iterator returns | |
| 32 | * elements from the bottom up. | |
| 33 | *
 | |
| 34 | * Unlike Stack, ArrayStack accepts null entries. | |
| 35 | *
 | |
| 36 | * Note: From version 4.0 onwards, this class does not implement the | |
| 37 | * removed {@code Buffer} interface anymore. | |
| 38 | * | |
| 39 | * @see java.util.Stack | |
| 40 | * @since 1.0 | |
| 41 | * @version $Id: ArrayStack.java 1477779 2013-04-30 18:55:24Z tn $ | |
| 42 | * @deprecated use {@link java.util.ArrayDeque} instead (available from Java 1.6) | |
| 43 | */ | |
| 44 | @Deprecated | |
| 45 | public class ArrayStack<E> extends ArrayList<E> { | |
| 46 | ||
| 47 | /** Ensure serialization compatibility */ | |
| 48 | private static final long serialVersionUID =<PHONE_NUMBER>931574599L; | |
| 49 | ||
| 50 | /** | |
| 51 | * Constructs a new empty ArrayStack. The initial size | |
| 52 | * is controlled by ArrayList and is currently 10. | |
| 53 | */ | |
| 54 | public ArrayStack() { | |
| 55 | super(); | |
| 56 | } | |
| 57 | ||
| 58 | /** | |
| 59 | * Constructs a new empty ArrayStack with an initial size. | |
| 60 | * | |
| 61 | * @param initialSize the initial size to use | |
| 62 | * @throws IllegalArgumentException if the specified initial size | |
| 63 | * is negative | |
| 64 | */ | |
| 65 | public ArrayStack(final int initialSize) { | |
| 66 | super(initialSize); | |
| 67 | } | |
| 68 | ||
| 69 | /** | |
| 70 | * Return true if this stack is currently empty. | |
| 71 | *
 | |
| 72 | * This method exists for compatibility with java.util.Stack. | |
| 73 | * New users of this class should use isEmpty instead. | |
| 74 | * | |
| 75 | * @return true if the stack is currently empty | |
| 76 | */ | |
| 77 | public boolean empty() { | |
| 78 |
1
1. empty : replaced return of integer sized value with (x == 0 ? 1 : 0) → NO_COVERAGE |
return isEmpty(); |
| 79 | } | |
| 80 | ||
| 81 | /** | |
| 82 | * Returns the top item off of this stack without removing it. | |
| 83 | * | |
| 84 | * @return the top item on the stack | |
| 85 | * @throws EmptyStackException if the stack is empty | |
| 86 | */ | |
| 87 | public E peek() throws EmptyStackException { | |
| 88 | final int n = size(); | |
| 89 |
2
1. peek : changed conditional boundary → NO_COVERAGE 2. peek : negated conditional → NO_COVERAGE |
if (n <= 0) { |
| 90 | throw new EmptyStackException(); | |
| 91 | } else { | |
| 92 |
2
1. peek : Replaced integer subtraction with addition → NO_COVERAGE 2. peek : mutated return of Object value for org/apache/commons/collections4/ArrayStack::peek to ( if (x != null) null else throw new RuntimeException ) → NO_COVERAGE |
return get(n - 1); |
| 93 | } | |
| 94 | } | |
| 95 | ||
| 96 | /** | |
| 97 | * Returns the n'th item down (zero-relative) from the top of this | |
| 98 | * stack without removing it. | |
| 99 | * | |
| 100 | * @param n the number of items down to go | |
| 101 | * @return the n'th item on the stack, zero relative | |
| 102 | * @throws EmptyStackException if there are not enough items on the | |
| 103 | * stack to satisfy this request | |
| 104 | */ | |
| 105 | public E peek(final int n) throws EmptyStackException { | |
| 106 |
2
1. peek : Replaced integer subtraction with addition → NO_COVERAGE 2. peek : Replaced integer subtraction with addition → NO_COVERAGE |
final int m = (size() - n) - 1; |
| 107 |
2
1. peek : changed conditional boundary → NO_COVERAGE 2. peek : negated conditional → NO_COVERAGE |
if (m < 0) { |
| 108 | throw new EmptyStackException(); | |
| 109 | } else { | |
| 110 |
1
1. peek : mutated return of Object value for org/apache/commons/collections4/ArrayStack::peek to ( if (x != null) null else throw new RuntimeException ) → NO_COVERAGE |
return get(m); |
| 111 | } | |
| 112 | } | |
| 113 | ||
| 114 | /** | |
| 115 | * Pops the top item off of this stack and return it. | |
| 116 | * | |
| 117 | * @return the top item on the stack | |
| 118 | * @throws EmptyStackException if the stack is empty | |
| 119 | */ | |
| 120 | public E pop() throws EmptyStackException { | |
| 121 | final int n = size(); | |
| 122 |
2
1. pop : changed conditional boundary → NO_COVERAGE 2. pop : negated conditional → NO_COVERAGE |
if (n <= 0) { |
| 123 | throw new EmptyStackException(); | |
| 124 | } else { | |
| 125 |
2
1. pop : Replaced integer subtraction with addition → NO_COVERAGE 2. pop : mutated return of Object value for org/apache/commons/collections4/ArrayStack::pop to ( if (x != null) null else throw new RuntimeException ) → NO_COVERAGE |
return remove(n - 1); |
| 126 | } | |
| 127 | } | |
| 128 | ||
| 129 | /** | |
| 130 | * Pushes a new item onto the top of this stack. The pushed item is also | |
| 131 | * returned. This is equivalent to calling add. | |
| 132 | * | |
| 133 | * @param item the item to be added | |
| 134 | * @return the item just pushed | |
| 135 | */ | |
| 136 | public E push(final E item) { | |
| 137 | add(item); | |
| 138 |
1
1. push : mutated return of Object value for org/apache/commons/collections4/ArrayStack::push to ( if (x != null) null else throw new RuntimeException ) → NO_COVERAGE |
return item; |
| 139 | } | |
| 140 | ||
| 141 | /** | |
| 142 | * Returns the one-based position of the distance from the top that the | |
| 143 | * specified object exists on this stack, where the top-most element is | |
| 144 | * considered to be at distance 1. If the object is not | |
| 145 | * present on the stack, return -1 instead. The | |
| 146 | * equals() method is used to compare to the items | |
| 147 | * in this stack. | |
| 148 | * | |
| 149 | * @param object the object to be searched for | |
| 150 | * @return the 1-based depth into the stack of the object, or -1 if not found | |
| 151 | */ | |
| 152 | public int search(final Object object) { | |
| 153 |
1
1. search : Replaced integer subtraction with addition → NO_COVERAGE |
int i = size() - 1; // Current index |
| 154 | int n = 1; // Current distance | |
| 155 |
2
1. search : changed conditional boundary → NO_COVERAGE 2. search : negated conditional → NO_COVERAGE |
while (i >= 0) { |
| 156 | final Object current = get(i); | |
| 157 |
2
1. search : negated conditional → NO_COVERAGE 2. search : negated conditional → NO_COVERAGE |
if ((object == null && current == null) || |
| 158 |
2
1. search : negated conditional → NO_COVERAGE 2. search : negated conditional → NO_COVERAGE |
(object != null && object.equals(current))) { |
| 159 |
1
1. search : replaced return of integer sized value with (x == 0 ? 1 : 0) → NO_COVERAGE |
return n; |
| 160 | } | |
| 161 |
1
1. search : Changed increment from -1 to 1 → NO_COVERAGE |
i--; |
| 162 |
1
1. search : Changed increment from 1 to -1 → NO_COVERAGE |
n++; |
| 163 | } | |
| 164 |
1
1. search : replaced return of integer sized value with (x == 0 ? 1 : 0) → NO_COVERAGE |
return -1; |
| 165 | } | |
| 166 | ||
| 167 | } | |
Mutations | ||
| 78 |
1.1 |
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| 89 |
1.1 2.2 |
|
| 92 |
1.1 2.2 |
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| 106 |
1.1 2.2 |
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| 107 |
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| 110 |
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| 122 |
1.1 2.2 |
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| 125 |
1.1 2.2 |
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| 138 |
1.1 |
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| 153 |
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| 155 |
1.1 2.2 |
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| 157 |
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| 158 |
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| 159 |
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| 161 |
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| 162 |
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| 164 |
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