Because we know you'd ask.
The ceremony will take place at Zámek Průhonice and the celebration will be happening at Restaurant Pod Zámkem, which is just a short (550m) walk away. Don't worry, our coordinator will tell you when and where to go.
As much as we'd love to invite everyone, our venue unfortunately has limited seating. Therefore, we kindly ask you to bring your SO only if we specifically invited both of you. Children are welcome.
Cocktail attire. Color: 50 shades of blue. Ladies: please don't wear white (unless you want Angie to kill you) and we recommend not wearing stilettos. Guys: no shorts, jorts, sneakers, socks in sandals.
We kindly ask you to limit your picture/video taking during the ceremony. Feel free to selfie away afterwards. And please don't forget to use the hashtag #Bengie2020 :)
The venue should be easily accessible from wherever in Prague you're staying.
Please do not kidnap the wife - the groom might not come looking for her. Please do not bring your own alcohol - the venue doesn't allow it and there will be plenty. We'll have to tone it down after 10pm.
The dinner will be served by chef Jan Pycha around 4:30 PM and you'll have your assigned seats. We will of course provide gluten-free and lactose-free options both for the reception and sweet bar. Complimentary beer & wine will be served all wedding long.
Your presence is already a great gift! If you'd like to bring us a present, we would most appreciate a contribution to our honeymoon. For our international friends - feel free to use the QR code below:
If you need anything the day of the wedding, please get in touch with our coordinator Marcela Cihlarova:
+420 725 436 080.
14:00-14:30: Arrival, welcome drinks and snacks.
14:30-15:00: The ceremony. It's going to be a Jewish wedding. Check out our Wedding Themes to find out what to expect.
15:00-15:45: Newlyweds' congratulations & group pictures. Ben's favorite part. He loves taking pictures.
15:45-16:15: Moving to the restaurant.
16:30-18:30: Food. Finally you get to eat and drink while listening to the speeches.
19:30: Cake!
19:45: First dance. Ben's 2nd favorite activity.
20:00-22:00: Dancing, Karaoke, more food, you name it.
22:00-00:00: Games you wish you never played. Traditions you wish you never knew.
1:00: Closing. That's all, folks.


Mad Dog and Glory
Mad Dog and Glory is a movie starring Robert De Niro, Uma Thurman, and Bill Murray. After his life is saved by a lonely cop, a mobster who moonlights as a stand-up comedian provides the cop with a beautiful young companion.


{% trans "colaborative mapping of your region." %}
{% trans "Anyone can help!" %} {% trans "Create your account." %}
{% trans "Want to help" %}, {{ user.get_first_name }}? {% trans "Add to the map!" %}
{% trans "What is it for?" %}
{% trans "Community diagnosis" %}
{% trans "Map a region's resources and needs. Create indicators and analyze its diagnosis to know the true demands of the that community." %}
{% trans "Network mapping" %}
{% trans "Map organizations that work for the same cause. Find new partakers to your network. Share knowledge and help to add visibility to the initiatives" %}
{% trans "Project evaluation" %}
{% trans "Record indicator over the execution of a project. Evaluate and generate reports. Share methodologies and results." %}
{% trans "Data journalism" %}
{% trans "Build maps using public data. Use them into your news and mobilize for changes." %}
{% trans "Neighborhood guide" %}
{% trans "Map existing services in your neighborhood. Help other dwellers to know the territory better and use local resources." %}
{% trans "Projects that uses MootiroMaps" %}
{% trans "News" %}
{% trans "IT3S blog" %}
-
{% for n in news %}
-
{{ n.title }}
{{ n.date|date:"d/m/Y" }}
{% endfor %}
{% trans "Last updates" %}
-
{% for u in updates %}
-
{{ u.instance.name }}
{{ u.readable_type|capfirst }} {{ u.date|naturaltime }}
{% endfor %}


The idea
Brief
A front end template, written by a back end guy to make his life easier, while at the same time providing a satisfactory experience for "normal" people.
Why?
There are other probably much better alternatives such as using bootstrap, but there are also some reasons why this is a thing.
- Bootstrap has a load of stuff I don't need.
- Bootstrap supports sass so must be for hipsters or something.
- Bootstrap uses a lot of container divs from what I have seen; It makes it harder to use a page with unix tools.
- I have a razor and I use it (same as 2).
- Have to point out that this design thing is kind of easy.
Where can I see it?
Well praise github for their free static hosting of anything in a branch called gh-pages. I basically commit to master and merge into gh-pages when I remember, so you can always find a kind of up-to-date demo at https://pcwizz.github.io/webtemplate.


Writing tests is not the most glamorous part of developing an Android application but it is an invaluable one. Using libraries like JUnit and Truth provide a great starting point for writing tests.
This library is an extension of Truth which aims to make it even easier to test Android.
assertThat(view).isGone();
assertEquals(View.GONE, view.getVisibility());
assertThat(view.getVisibility()).isEqualTo(View.GONE);
When failing, the Truth Android assertion produces an output which allows you to immediately recognize the problem: Expected visibility <gone> but was <invisible>.
Compare that to the output of regular Truth expected:<[8]> but was:<[4]>
and regular JUnit expected: <8> but was: <4>
and you should immediately see the advantage.
Because Truth Android offers assertions directly on objects rather than properties, tests are much more readable.
assertThat(layout).isVisible(); assertThat(layout).isVertical(); assertThat(layout).hasChildCount(4); assertThat(layout).hasShowDividers(SHOW_DIVIDERS_MIDDLE);
assertEquals(View.VISIBLE, layout.getVisibility()); assertEquals(VERTICAL, layout.getOrientation()); assertEquals(4, layout.getChildCount()); assertEquals(SHOW_DIVIDERS_MIDDLE, layout.getShowDividers());
assertThat(layout.getVisibility()).isEqualTo(View.VISIBLE); assertThat(layout.getOrientation()).isEqualTo(VERTICAL); assertThat(layout.getChildCount()).isEqualTo(4); assertThat(layout.getShowDividers()).isEqualTo(SHOW_DIVIDERS_MIDDLE);
Assertions exist for nearly every object that you would ever want to test, from LinearLayout
to ActionBar
to Fragment
to MenuItem
. AndroidX is mostly included too.
To get started writing tests add the following import:
import static com.pkware.truth.android.Assertions.assertThat;
Modules are also provided for the add-on AndroidX libraries. Add the dependency (listed below) and use the following imports:
legacy-support-v4
import static com.pkware.truth.androidx.legacy.v4.Assertions.assertThat;
Google Play Services
import static com.pkware.truth.android.playservices.Assertions.assertThat;
appcompat
import static com.pkware.truth.androidx.appcompat.Assertions.assertThat;
Material Components
import static com.pkware.truth.android.material.Assertions.assertThat;
mediarouter
import static com.pkware.truth.androidx.mediarouter.Assertions.assertThat;
gridlayout
import static com.pkware.truth.androidx.gridlayout.Assertions.assertThat;
cardview
import static com.pkware.truth.androidx.cardview.Assertions.assertThat;
recyclerview
import static com.pkware.truth.android.recyclerview.v7.Assertions.assertThat;
pallete
import static com.pkware.truth.android.pallete.v7.Assertions.assertThat;
The provided assertions have also been designed to be extended for any custom controls you have developed.
public class CustomLayout extends LinearLayout { public int getBehavior() { /* ... */ } }
Use the following pattern to set up your assertions.
public final class CustomLayoutSubject extends AbstractLinearLayoutSubject<CustomLayout> { @Nullable private final CustomLayout actual; public static CustomLayoutSubject assertThat(@Nullable CustomLayout actual) { return assertAbout(CustomLayoutSubject::new).that(actual); } private CustomLayoutSubject(FailureStrategy failureStrategy, @Nullable CustomLayout actual) { super(failureStrategy, actual); this.actual = actual; } public void hasSomeBehavior() { check("getBehavior()") .withMessage("Expected some behavior but was doing other behavior.") .that(actual.getBehavior()) .isEqualTo(42); } }
Now static import CustomLayoutSubject.assertThat
in your test classes.
For more information about writing custom assertions see the official documentation.
Android module:
androidTestCompile 'com.pkware.truth-android:truth-android:1.1.0'
legacy support-v4 module:
androidTestCompile 'com.pkware.truth-android:truth-android-support-v4:1.1.0'
Google Play Services module:
androidTestCompile 'com.pkware.truth-android:truth-android-play-services:1.1.0'
Material Components library module:
androidTestCompile 'com.pkware.truth-android:truth-android-material:1.1.0'
appcompat module:
androidTestCompile 'com.pkware.truth-android:truth-android-appcompat:1.1.0'
mediarouter module:
androidTestCompile 'com.pkware.truth-android:truth-android-mediarouter:1.1.0'
gridlayout module:
androidTestCompile 'com.pkware.truth-android:truth-android-gridlayout:1.1.0'
cardview module:
androidTestCompile 'com.pkware.truth-android:truth-android-cardview:1.1.0'
recyclerview module:
androidTestCompile 'com.pkware.truth-android:truth-android-recyclerview:1.1.0'
pallete module:
androidTestCompile 'com.pkware.truth-android:truth-android-pallete:1.1.0'


| 1 |
mice |
vaccines |
IBV |
L. |
mucosal |
vectors |
influenza |
vlps |
DNA |
VSV |
adjuvant |
MVA |
sars-cov |
RSV |
mers-cov |
| 2 |
responses |
vaccine |
pigs |
TGEV |
intranasal |
vector |
H5N1 |
VLP |
dna vaccine |
niv |
HCV |
vaccinia |
SARS |
respiratory |
MERS |
| 3 |
immune |
development |
PRRSV |
oral |
dendritic |
HIV-1 |
HA |
particles |
dna vaccines |
rvsv |
advax |
ZIKV |
acute |
syncytial |
middle |
| 4 |
response |
diseases |
chickens |
lactis |
route |
adenovirus |
pandemic |
virus-like |
plasmid |
EBOV |
cpg |
smallpox |
coronavirus |
passive |
east |
| 5 |
vaccine |
pathogens |
NDV |
casei |
systemic |
transgene |
viruses |
virus-like particles |
dna vaccination |
ebola |
formulated |
ankara |
acute respiratory syndrome |
calves |
RBD |
| 6 |
antibody |
infectious |
vaccinated |
lactobacillus |
administration |
ad |
influenza vaccines |
plants |
HPV |
GP |
alum |
CHIKV |
sars-cov. |
neonatal |
middle east respiratory syndrome coronavirus |
| 7 |
induced |
review |
virulent |
orally |
delivery |
MV |
hemagglutinin |
baculovirus |
electroporation |
stomatitis |
™ |
dengue |
cov |
cotton |
domain |
| 8 |
study |
safety |
bronchitis |
gastroenteritis |
iga |
measles |
influenza virus |
proteins |
plasmids |
vesicular |
inulin |
poxvirus |
spike |
tract |
mers-cov infection |
| 9 |
antibodies |
infectious diseases |
challenged |
LAB |
lymph |
foreign |
NP |
plant |
injection |
SUDV |
subjects |
vaccinia virus |
sars-cov infection |
respiratory syncytial virus |
spike |
| 10 |
protein |
animal |
shedding |
PEDV |
nasal |
adenoviral |
avian |
insect |
pestis |
cats |
rov-asp-1 |
virus |
severe |
rats |
coronavirus |
| 11 |
protective |
effective |
virus |
salmonella |
routes |
gene |
influenza vaccine |
expression |
dna immunization |
ebola virus |
delta |
WNV |
syndrome |
respiratory tract |
camels |
| 12 |
results |
systems |
PEDV |
transmissible |
cells |
gag |
H1N1 |
edible |
skin |
animals |
OVA |
VRP |
monkeys |
parainfluenza |
sars-cov-2 |
| 13 |
immunized |
recent |
infectious bronchitis virus |
diarrhea |
surfaces |
viral vectors |
tuberculosis |
transgenic |
HPV16 |
hamsters |
formulation |
zika |
i.p |
rsv f |
syndrome |
| 14 |
cell |
strategies |
strain |
recombinant |
dendritic cells |
HIV |
m2e |
production |
L1 |
rabies |
TCI |
replicon |
goats |
passive immunity |
chadox1 mers |
| 15 |
humoral |
human |
poultry |
l. lactis |
i.n |
tumor |
H7N9 |
recombinant proteins |
encoding |
felv |
aluminum |
SFTSV |
s-peptide |
ds-cav1 |
respiratory |
| 16 |
immunization |
clinical |
S1 |
typhimurium |
nodes |
adenoviruses |
universal |
transgenic plants |
Y. |
rabies virus |
delta inulin |
EDIII |
sl-cov |
pups |
middle east respiratory syndrome |
| 17 |
cellular |
approaches |
newcastle |
plantarum |
sublingual |
vaccine vector |
BCG |
vlp-based |
plague |
recombinant vesicular stomatitis virus |
MIV |
gn |
sars coronavirus |
born |
dromedary |
| 18 |
high |
delivery |
PRRS |
mucosal |
parenteral |
pre-existing |
influenza viruses |
capsid |
L2 |
RABV |
patch |
gc |
cphv-1 |
infants |
receptor-binding |
| 19 |
neutralizing |
immune |
reproductive |
oral vaccine |
mucosa |
evolution |
conserved |
expression systems |
gene |
malaria |
liposomes |
fever |
respiratory |
cattle |
subunit |
| 20 |
infection |
adjuvants |
birds |
porcine |
nanoparticles |
adenoviral vectors |
virus |
plant-derived |
mrna |
vesicular stomatitis virus |
adjuvants |
VACV |
phe-cov |
palivizumab |
dromedary camels |
| 21 |
immune responses |
potential |
inactivated |
lactococcus |
mucosal vaccination |
env |
heterologous |
insect cells |
IL-12 |
FIPV |
WIV |
modified vaccinia virus ankara |
sars-cov vaccine |
EV-D68 |
2012 |
| 22 |
elicited |
including |
porcine |
transmissible gastroenteritis virus |
mucosal immunity |
hiv-1 vaccine |
M1 |
produced |
turkeys |
virus |
biojector |
lc16m8 |
ferrets |
BHV-1 |
MNA |
| 23 |
cells |
advantages |
rotavirus |
lactic |
dcs |
gp120 |
TB |
viral |
ID |
kittens |
ODN |
equine |
acute respiratory syndrome coronavirus |
gd |
COVID-19 |
| 24 |
specific |
application |
industry |
PED |
intranasally |
vaccine vectors |
M2 |
formation |
E6 |
ebolavirus |
MF59 |
chadox1 |
3a |
exposure |
mers-cov vaccines |
| 25 |
showed |
antigens |
live |
S. |
DC |
antigens |
H5 |
nov |
plasmid dna |
% |
mg |
replication-deficient |
rrbd |
HPIV3 |
mers-cov vaccine |
| 26 |
induce |
veterinary |
WCL |
piglets |
local |
phenotype |
subtype |
edible vaccines |
cervical |
outbreaks |
sc |
nabs |
leptospirosis |
gilts |
chadox1 |
| 27 |
levels |
trials |
IB |
oral administration |
tissues |
HSV-2 |
h5n1 viruses |
vlp-based vaccines |
papillomavirus |
RV |
conjugate |
VV |
sars-cov s protein |
virus |
mers-cov. |
| 28 |
model |
field |
adjuvanted |
protein |
intestinal |
express |
HPAI |
structural |
pvax1 |
ad5 |
T7-EA |
chikungunya |
s protein |
dams |
rbd-specific |
| 29 |
immunity |
research |
PRRS-MLV |
VP2 |
sites |
viral |
seasonal |
EV71 |
a.c.nps |
feline |
core |
niv-g |
vaccine |
immunisation |
receptor-binding domain |
| 30 |
generated |
design |
challenge |
pylori |
draining |
insertion |
H3N2 |
expressed |
microneedles |
nipah |
polio |
vaccinia virus ankara |
inactivated |
HRV16 |
tpa |
| 31 |
immunogenicity |
clinical trials |
sows |
l. casei |
immunization |
replication |
h5n1 virus |
recombinant |
needle |
rad |
shsp |
RVF |
re-emergence |
PIV5 |
rad/spike |
| 32 |
vaccination |
technologies |
S2 |
coli |
vaccination |
ad-based |
H7 |
system |
lcrv |
plasmodium |
VRC |
mutant |
2003 |
gp350 |
svlp |
| 33 |
suggest |
important |
lung |
intestinal |
lymph nodes |
recombinant |
homologous |
sf9 |
dna delivery |
IL-18 |
MUC1 |
encephalitis |
eosinophilic |
hmpv |
DPP4 |
| 34 |
protection |
antigen |
control |
lactobacilli |
site |
genes |
2009 |
assembly |
acherv-trihpv |
filovirus |
transcutaneous |
SFTS |
sars-coronavirus |
head-only |
hdpp4 |
| 35 |
effective |
years |
GP5 |
lactic acid bacteria |
intranasal route |
viruses |
lethal |
virions |
y. pestis |
glycoprotein |
ov-asp-1 |
CCHF |
sars-like |
antibodies |
rbd-based |
| 36 |
recombinant |
immune system |
rndv |
lactobacillus casei |
dc-targeting |
measles virus |
H9N2 |
subunit |
delivered |
sporozoite |
pcmvcorekozak |
VTT |
pcdnasa |
pre-f |
ad5/mers |
| 37 |
epitope |
efforts |
infectious |
igg |
oral |
gag-specific |
TIV |
virus-like particle |
cervical cancer |
nipah virus |
adverse events |
smallpox vaccine |
syndrome-associated |
b/h |
humans |
| 38 |
balb/c mice |
platforms |
attenuated |
recombinant l. casei |
intranasal immunization |
foreign antigen |
clades |
baculoviruses |
F1 |
VEEV |
JJA |
dengue virus |
sars-cov spike |
raav6 |
S1 |
| 39 |
antigen-specific |
discussed |
respiratory syndrome virus |
food-grade |
dendritic cell |
ad vectors |
m2e-specific |
plant-based |
E7 |
protected |
hydrogel |
mature |
senescent |
hpiv3/ebogp |
spike protein |
| 40 |
balb/c |
system |
mtb wcl |
lactococcus lactis |
mucosally |
autologous |
challenge |
protein |
yersinia |
salivary |
4 |
modified |
pcdnam |
ORFV-PEDV-S |
self-assembling protein |
| 41 |
t-cell |
vaccination |
titers |
expression |
immunity |
competent |
strains |
vac-ha-dual |
G2 |
ZEBOV |
volvulus |
zika virus |
RVV-S |
infant |
rubella |
| 42 |
CD8 |
traditional |
significantly |
verified |
mucosal sites |
SIV |
protection |
self-assemble |
tcov |
MARV |
JJAV |
tick-borne |
MVA-S |
EBV |
receptor binding domain |
| 43 |
found |
synthetic |
viral shedding |
suckling |
m.tb |
viral vector |
pandemics |
p17/p24 |
EP |
A12-LLV2 |
adjuvant activity |
CNS |
pcdnasb |
neonates |
rntd |
| 44 |
doses |
made |
CVCVA5 |
EGFP |
ASC |
hexon |
influenza a |
rhdv-vlps |
sequence |
leishmania |
randomized |
scarification |
purified |
nasal secretions |
ctxb |
| 45 |
ifn-γ |
understanding |
protection |
COE |
powder |
rmv |
ll-ha1/l/acma |
subviral |
expression vectors |
hev |
VIT |
MVTT |
RBD |
anti-rsv |
mers coronavirus |
| 46 |
vaccines |
chapter |
groups |
fusion |
resident |
hiv-1-specific |
pseudotypes |
vac-ha |
antitumor |
ALA |
participants |
tetravalent |
QS21 |
infection |
binding |
| 47 |
th1 |
developed |
vaccine |
surface |
NEI |
CEA |
HSP65 |
baculovirus expression system |
yscf |
MVA-VP2 |
charged |
mva-vectored |
sars-associated |
rsv-specific |
rgp |
| 48 |
CTL |
applications |
np-kag |
strains |
T(RM |
expression |
influenza virus infection |
viral genome |
gun |
FMD |
admixed |
lethal |
NC |
intranasal |
mers‐cov |
| 49 |
RESULTS |
include |
nano-kag |
groel |
vaccine delivery system |
p72 |
emergent |
ER |
integration |
gp-specific |
hcv vaccine |
envelope |
PIKA |
natural |
decoy epitope |
| 50 |
virus |
advances |
infectious bronchitis |
PPV |
nasal mucosa |
adv |
CHO |
corn |
dna-based |
expressing |
h7n9 monovalent |
protection |
rdis |
SAS |
PA20 |


Please select the relevant option below. You will be redirected to a page with further instructions.
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unmac
unmac -- Delete spurious Mac files under a directory or volume
Usage:
unmac [OPTIONS] directory ...
Options:
-h, --help Print this help
-v, --verbose Show processing
-p, --pretend Show what would be deleted, but don't do it
-s, --keep-spotlight Do not delete Spotlight data
-f, --keep-fsevents Do not delete Time Machine stuff
-t, --keep-trashes Do not delete volume trashes
-m, --keep-macosx Do not delete "__MACOSX" directories
-r, --keep-dsstore Do not delete ".DS_Store" files
-d, --keep-apple-double Do not delete "._*" ghost files
-o, --keep-apple-double-orphans Delete "._foo.txt" only if "foo.txt" exists
-i, --keep-custom-folder-icons Do not delete custom folder icons
Description:
When a Mac copies files to volumes that have a different file system it adds
some auxiliary files that represent different kinds of metadata. This typically
happens with memory sticks, network drives, SD cards, etc. Mac archivers like
zip(1) add special files as well, like "__MACOSX", you'll see them for example
if you extract a Zip file like that on Windows.
The purpose of these special files is to let another Mac rebuild the metadata
from them, Spotlight integration, etc. But if you are not interested in these
features your directory or volume just gets cluttered. This utility removes
all those extra files.
What's deleted:
This is just a summary, for more detailed explanations and pointers see the
comments in unmacer.rb:
* Spotlight leaves a folder called ".Spotlight-V100" in the root directory
of volumes.
* Time Machine relies on a folder called ".fseventsd" in the root directory
of volumes.
* A folder called ".Trashes" in the root directory of volumes stores their
trashes. Those ones are taken into account by the Trash in the Dock.
* Some archivers create auxiliary directories called "__MACOSX".
* Finder and Spotlight data related to each folder gets stored in an
extra file called ".DS_Store".
* For each file "foo.txt", its resource fork and some additional stuff
are stored in an accompaining ghost file called "._foo.txt". The pattern
is to prepend "._" to the original file name.
* If a folder has a custom icon you get a file "Icon^M" (that ^M is a hard CR).
Some stuff is only found in the root folder of volumes, unmac looks for them
in any directory you pass as argument, but not on their subdirectories.
Installation:
This program is portable, it has been tested on Mac OS X, Linux, and Windows.
Should work at least in any other Unix.
unmac is distributed as a Ruby gem. Once you have Ruby and RubyGems installed
execute
gem install unmac
License:
See the MIT-LICENSE file included in the distribution.
Copyright:
Copyright (C) 2009 Xavier Noria.


{{watchbill.Title}} beginning {{watchbill.WatchDays[0].Date | date: 'longDate'}}
This watchbill is currently in the "{{watchbill.CurrentState.Value}}" phase.
Confirming below will move it to the "{{nextStatus.Value}}" phase.
Go Back
Going to phase {{nextStatus.Value}}, please wait...


Tracing Options
Write trace information to System Console
Lowest level:
CRITICAL
MAJOR
MINOR
WARNING
INFO
DEBUG
FINE
FINER
FINEST
Write trace information to temporary file
Lowest level: nbsp;
CRITICAL
MAJOR
MINOR
WARNING
INFO
DEBUG
FINE
FINER
FINEST
nbsp;
Write to temporary file:
Show trace for
selected
classes only
nbsp;


CS 547 Computer Networks - Fall 2021 (Turk Telekom Section)Instructor: Dr. Ali C. BegenEmail: ali.begen AT ozyegin.edu.tr Office Hours: After the class (Please make an appointment in advance) LogisticsTime and Location: Thursdays 6-9pm (For schedule changes, check Google Classroom announcements)Google Classroom Link: Go here and join the CS 547 class using your OzU (not personal) account. Make sure you receive notifications for the class announcements. Textbook (Recommended): Computer Networking: A Top-Down Approach, 7/e and Computer Networks: A Systems Approach (Online) TA: Burak Kara (burak.kara AT ozu.edu.tr) Course OverviewDescription: This course provides an introduction to the fundamental concepts in the design and implementation of computer networks, protocols and applications. Topics to be covered include network architectures, applications, network programming interfaces, transport layer, routing layer and link layer. Time permitting, we will overview wireless networking and protocols, too.Prerequisites: CS 201 Tools
GradingI will not take attendance, however, participation to the discussions in the class may affect your grade. For specific grading, check Google Classroom.SyllabusWe will cover the following topics and slides are to be posted in Google Classroom.
Homework Assignments and ExercisesThe assignments and exercises are to be posted in Google Classroom along with the due dates. |
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Last Update: March 07, 2023 |


This blocks computes y as integral of the input u multiplied with the gain k. If the integral reaches a given upper or lower limit and the input will drive the integral outside of this bound, the integration is halted and only restarted if the input drives the integral away from the bounds.
It might be difficult to initialize the integrator in steady state. This is discussed in the description of package Continuous.
If parameter limitAtInit = false, the limits of the integrator are removed from the initialization problem which leads to a much simpler equation system. After initialization has been performed, it is checked via an assert whether the output is in the defined limits. For backward compatibility reasons limitAtInit = true. In most cases it is best to use limitAtInit = false.
If the reset port is enabled, then the output y is reset to set or to y_start (if the set port is not enabled), whenever the reset port has a rising edge.


U23 Eagles out of 2020 Olympic Games - The Nation Newspaper
NIGERIA will not be one of Africa’s representatives at the 2020 Olympic Games after crashing out of the ongoing U23 Africa Cup of Nations in Egypt.
The Dream Team VII and South Africa played out a goalless draw in their final group game of the tournament at the Al Salam Stadium yesterday, a result that saw Coach Imama Amapakabo’s side finish third behind Ivory Coast and Amaglug-glug. The Ivorians defeated Zabia 1-0 to finish second .
Nigeria U23 coach Amapakabo sent out the same starting XI that secured the win over Zambia last time out in Cairo.
Chances were few and far between in the opening exchanges as the Rainbow Nation dropped back to draw the Nigerian press, and after Anthony Izuchukwu had failed to keep his header down from Kelechi Nwakali’s corner, it was Ndifreke Effiong who forced Darren Johnson into parrying for a corner.
Read Also: Nwakali talks tough ahead U-23 AFCON in Egypt
Ibrahim Sunusi could have put the Olympic Eagles ahead in the 25th minute but his tame effort missed target to the left side of goal.
Nigeria goaltender Adamu Abubakar was called into action at the other end when he smothered Kamohelo Mahlatsi effort aimed at the top corner of his goal.
Nigeria rode their luck a couple of occasions in the game, with the likes of Siyabonga Ngezana, Mahlatsi and Katlego Mohamme looking dangerous deep into the second half.
Second half substitute Sunday Faleye could have won it for Nigeria deep into stoppage time but he could only send his header wide from the centre of the box after Taiwo Awoniyi had set him up with a good cross.


does someone now a way to read the last feed data within python, and then send this data bij serial to my arduino.
what i would like to do is.
I have some counters in my arduino which keeping a total amount off pulses.
after counting a puls, it is send to my raspberry pi.
but after a restart these counters are empty, now i wan't send some kind of command to emoncms.
python checks for this command and sending the correct data to my pi.
so i will rewrite pylink.py so it feeds my needs.
now the first thing i ran in to is how do i get the data from emoncms by python to my arduino.
i tryed somthing like this.
but that doesn't work
conn.request("GET", "/"+emoncmspath+"/emoncms/feed/value.json?id=14\n")
response = conn.getresponse()
print response.read()
the response i get back is only "" there should be a value.
so i need some helping hand.
Re: read last feed data and send it to arduino with python
You are missing the API key, I use something like this
import urllib
API= "*******************" # emoncms API key
def feedval(feedid):
data_url="http://***************/emoncms/feed/value.json?apikey=" + API + "&id=" + str(feedid)
# read in the data from emoncms
try:
sock = urllib.urlopen(data_url)
data_str = sock.read()
sock.close
return float(data_str)
except Exception, detail:
print "Error ", detail
print feedval(5) # print the latest value of feed 5


I started with 50 seeds, decided to keep 5 to see if I could grow them as houseplants.
10:00 - I begin by eating 2 seeds. The flavour is strange, the bitterness is too much. I decide to crush the remaining 43 seeds and make tea from it.
11:10 - Finished drinking the tea.
12:00 - A very mild change in awareness.
2:00 - Nothing much is happening so I go to bed.
The next day I vomited when I woke up. Felt weak. Partially incapacitated. Got some gut aches and hot flashes. Around 6:00pm I vomited again after only drinking water all day. It was green.
Gut pains persisted for days.
Conclusion: this is poison.. not worth trying.
Experience Reports are the writings and opinions of the individual authors who submit them.
Some of the activities described are dangerous and/or illegal and none are recommended by Erowid.


This API provides a REST interface to the fortunes one would normally see from the command-line fortune command.
Note this is a WIP!
All API calls are made to the base URL https://fortune-api.herokuapp.com/api
Returns a random fortune, optionally from a specific category.
Sample Response:
{ "success": true, "fortune": "You have a strong appeal for members of your own sex." }
Returns a list of all available fortune categories.
Response will be as follows:
{ "categories": [ "computers", "cookie", "definitions", "drugs", "education", "ethnic", "fortunes", "goedel", "humorists", "kids", "law", "linuxcookie", "literature", "love", "magic", "medicine", "men-women", "miscellaneous", "news", "people", "pets", "platitudes", "politics", "riddles", "science", "songs-poems", "sports", "startrek", "translate-me", "wisdom", "work", "zippy" ] }
You can view the code for, star, and/or fork this repository here.


Time when I got blocked on a simple problem
I was trying to find a setup file to run for software but I could not find where the file was so I spent hours finding a way on how to install the software. I looked up on Google and also looked for a readme file in the folder to see instructions but there was nothing anywhere. I was frustrated and then I checked with the support team and realized that all I had to do was copy and paste and there was no need to install it on the computer.


Richard "Rick" Grimes is the protagonist of Image Comics The Walking Dead. Rick has been described as an everyman who emphasizes moral codes and values. Once a former police deputy from Cynthiana, Kentucky, he awakens from a coma to find the world infested with zombies. He reunits with his wife, Lori, and son, Carl, and encounters many survivors along the way. He gradually becomes the de facto leader of a group, while dealing with many leadership struggles. His leadership qualities and experience eventually leads him to become the leader of a much larger community while continuing to deal with many threats, human and dead, that cost the lives of many. Over the course of the comic book series, he faces sheer brutality in order to protect his fellow group members and later community from harm.


This form allows you to upload the YAML file corresponding to an exploration. However, you will need to manually upload any additional image files separately.


My Papers:
The things I am reading
Websites
- DeepMind’s blog
- OpenAI’s blog
- Quanta managazine
- Distill
- the gradient
- the verge
- aeon
- nautil.us
- futura science
- Andrej Karpathy’s blog
- blog.otoro.net
- kvfrans hackersguide
- cookbook
- nando’s blog
- ian goodfellow’s blog
- jason’s blog
- neuralnetworksanddeeplearning
- colah blog
- nicholast smith’s blog
- cleverhans
- katbailey blog
- dominicwalliman blog
- colinraffel’s blog
- rubenevillegas
- reddit/ML
- keras’ blog
- fast.ai’s blog
- tf’s blog
- qure blog
- fair
- tinycloud
- google accelerated science
- google research
- google brain
Good research Labs to follow
- cancerdatascience.org
- www.psi.toronto.edu/index.php?q=splicing%20code
- www.serafimb.org/people.html
- bejerano.stanford.edu/directions.html
- nn.cs.utexas.edu/keyword?neuroevolution
- cbb.big.ac.cn/Software#CAT
- ai-on.org/
- thoth.inrialpes.fr/
- www.di.ens.fr/sierra/contact.php
- www.di.ens.fr/data/
- genie.weizmann.ac.il/former.html
- www.di.ens.fr/DiensTeams.html.en
- cs.nyu.edu/parida/
- bonneaulab.bio.nyu.edu/networks.html
- cazencott.info/
- members.cbio.mines-paristech.fr/~jvert/
- personal.broadinstitute.org/anne/index.html
- hscrb.harvard.edu/res-fl-rubin
- nyscf.org/resources/post-filters/search/scott%20noggle/
- research.google.com/teams/brain/
- research.google.com/teams/gas/
- beehive.cs.princeton.edu/people/
- www.sens.org/outreach/take-action/volunteer
- www.hammerlab.org/work/
- www.research.ibm.com/haifa/dept/vst/mlhls.shtml
- stanfordmlgroup.github.io/
- clinicalml.org/research.html
- suchisaria.jhu.edu/
- people.idsia.ch/~juergen/
- noble.gs.washington.edu/
- www.greenelab.com/lab-members/
Research Papers
I have read, with some review ()
I have read (without any review)
waiting for a research app to make it easier to share and display
- paper I read: (200)
To Read
waiting for a research app to make it easier to share and display
- paper to read: (320)
Research Books
I have read
- David Travis.the fable of the user centered designer.
- GRE org. cracking the GRE.2017.
- Yu.G. Borisovich, N.M. Bliznyakov, T.N. Fomenko, Y.A. Izrailevich. _Introduction to Differential and Algebraic Topology
- Allen Hatcher. _Algebraic Topology
- Eric Ries. _The Lean Startup: How Today's Entrepreneurs Use Continuous Innovation to Create Radically Successful Businesses
- Stuart Russell, Peter Norvig. _Artificial Intelligence: A Modern Approach, Global Edition
- Ian Goodfellow, Yoshua Bengio, Aaron Courville. _Deep Learning
- Randall C. O'Reilly, Yuko Munakata. _Computational Explorations in Cognitive Neuroscience: Understanding the Mind by Simulating the Brain
- David J. Barnes, Dominique Chu. _Introduction to Modeling for Biosciences
- Unkown. _UX Storytellers - Connecting the Dots
- Jeff Heaton. _Artificial Intelligence for Humans, Volume 1: Fundamental Algorithms
To read
- Karl J. Friston, et. al..attention, predictions and expectations, and their violation: attentional control in the human brain. Frontiers. 2016.
- Xavier Pennec & Co..A Riemannian Framework for Tensor Computing. 2006.
- Gödel, Escher, Bach. An Eternal Golden Braid. 1979.
- Sebastian Bassi. _Python for Bioinformatics
- Ivan Bratko. _Prolog Programming for Artificial Intelligence
- John Kirkman. _Good Style: Writing for Science and Technology
- Carl Edward Rasmussen, Christopher K. I. Williams. _Gaussian Processes for Machine Learning
- Bruce Tate. _Seven Languages in Seven Weeks: A Pragmatic Guide to Learning Programming Languages
- Jianfeng Feng. _Computational Neuroscience: A Comprehensive Approach
- James M. Bower, Hamid Bolouri. _Computational Modeling of Genetic and Biochemical Networks
- Roger B. McDonald. _Biology of Aging Yvette Amice, Les Nombres p-adiques, PUF, 1975 (lire en ligne)
- computational neuroscience, chapman chap10-19 (10)


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Fender Vibrolux Amp AB763 Schematic - KBápps.com
Tube Amplifier Schematics - Fender Vibrolux Amp AB763.
http://www.kbapps.com/audio/schematics/tubeamps/fender/vibroluxab763.php
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Fender Diagrams, Schematics and Service Manuals for FREE
Download your Fender diagram, schematic or service manual for free! . fender vibrolux ab763 schematic [49 KB]; fender vibrolux reverb aa270 schem [603 KB] .
http://www.schematicsunlimited.com/?z=fender
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SCHEMATICS LIBRARY
We are always looking for schematics and layouts to add as well. Please . Fender, Bandmaster AB763, Blackface, Layout . Fender, Vibrolux 6G11a, Schematic .
http://www.turretboards.com/schematics_library.htm
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Fender Amplifiers - Wikipedia, the free encyclopedia
The 1x10" Vibrolux amp remained a tweed amp until it was upgraded in 1961 to . Furthermore, the schematic and tube charts that shipped with these models did not . Fender had many leftover AB763 (blackface) tube charts left over well into .
http://en.wikipedia.org/wiki/Fender_Amplifiers
Understanding Fender's circuit naming scheme ... - The Blue Guitar
Super Amp circuit, appearing in 1960 [indicated by the first "6"]. . Tremolux and Vibrolux are virtually identical, differing in OT, thus speaker complement. . Though most AB763 Fenders changed in the late 60's (May '68 ckt, Oct '69 ckt, Feb '70 .
http://www.blueguitar.org/new/schem/fender/modnotes/fender_numbering.pdf
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Basic Listings
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AB763 parts
The Fender AB763 circuit is not just one amplifier. . What is the difference between a Deluxe reverb, Vibrolux reverb, Bandmaster reverb, . You don't have to use a AB763 schematic and layout diagram when figuring out which model to build.
http://www.el34world.com/Hoffman/ab763parts.htm
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SCHEMATICS LIBRARY - Watts Tube Audio
Ampeg, vt40, Schematic. FENDER. BRAND, MODEL, LAYOUT, SCHEMATIC . Fender, Bandmaster AB763, Layout . Fender, Vibrolux AB763, Schematic .
http://www.turretboards.com/guitar_amplifier_builders_info_schematics_library.htm
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Blackface vs. Silverface Fenders - welcome
Dec 1, 2001 . Soon after the circuit became the famous one, the AB763. . or AB165, came out in late '64) and the Vibrolux Reverb (AA864, came out in late '64) . the phase inverter, bias supply (balance instead of level) and reverb circuit.
http://acruhl.freeshell.org/mga/main/bf_vs_sf.html
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Fender Amp Heaven Schematics - Tweed Blackface Brownface ...
Fender,Schematics, Amps, Amplifiers, Tubes, Valves, Bandmaster, . Vibrosonic, Vibrolux, Vibrolux Reverb, Vibroverb, Vibratone, White, Vintage, Tweed, .
http://www.webphix.com/schematic%20heaven/www.schematicheaven.com/fender.html
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File:Vactrol Fender tremolo.PNG - Wikipedia, the free encyclopedia
Based on schematics for Fender AA763/AB763 amp which was marketed under the Vibrolux, Vibroverb, Showman etc. model names (see Blackface **763 .
http://en.wikipedia.org/wiki/File:Vactrol_Fender_tremolo.PNG
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Fender Amp Field Guide Contents
The Fender Amp Field Guide: Descriptions of the greatest musical instrument amplifiers ever built . Schematics & Chassis Layouts . AB763 Chassis Layout .
http://www.thevintagesound.com/ffg/schematics.html
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Fender Schematics
Turntable Parts. VCR Repair Parts. Fender Schematics. Model # Amps. PA Horn Crossover. 6G11-A. Vibrolux Reverb. Special thanks to Larry's Schematic .
http://www.amprepairparts.com/fenderschem.htm
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Prowess Amplifiers - Fender Schematics
Bandmaster ab763 - Schematic. Adobe Acrobat . Fender Rumble 60 - Parts list ans Schematics. Adobe Acrobat . Vibrolux ab763 - Schematic. Adobe Acrobat .
http://www.prowessamplifiers.com/schematics/fender/
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The Free Information Society - Fender Vibrolux AB763 Electronic ...
Miscellaneous · Forum · Community · Upload. Web, freeinfosociety.com. Colors. Fender Vibrolux AB763 Schematic. Return to the Schematic Archive.
http://www.freeinfosociety.com/electronics/schemview.php?id=965
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Vibrolux Reverb « fenderguru.com. Fender amps, mods ...
Blackface model tube layout (Seen from behind, V1 is to the right side) . We like this mod a lot for stratocasters wi the Fender AB763-similar circuits since they .
http://fenderguru.com/amps/vibrolux
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AMPLIFIER OWNER'S MANUAL AND - Fender® Support
Fender® Guitar and Bass Amplifiers Owner's Manuals and Schematics Hard Copy Archives . Bandmaster AB763, NO, YES . Custom Vibrolux®, YES, YES .
http://www.fender.com/support/articles/fender-guitar-and-bass-amplifiers-owners-manuals-and-schematics-hard-copy-archives
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most fender amp schematics
Fender Amp Schematics (copied from various websites, including Fender's) . Bandmaster Reverb Amp AA1069 Layout · Bandmaster . Vibrolux Amp AB763 .
http://www.charlestonarea.com/Fender_Super_Reverb/FenderSchematics/index.htm
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Pounding Sound - Recording
1964 Fender Twin Reverb AB763 schematic; 1969 Fender Twin Reverb Silverface AB763 schematic; 1961 Vibrolux Brownface 6G11; Peavey bass amp; 1970s .
http://www.poundingsound.com/recording.html
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Dating Fender Amps by Serial Number, Part V
A 1957 tweed Vibrolux was reported with a tube chart printed with circuit 5E3 ( tweed Deluxe) instead of the correct 5F11 (see photo). Clearly Fender wasn't .
http://www.ggjaguar.com/fendamp5.htm
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Dating Fender Tube Amps by Serial Number
Fender never printed any since there were plenty of leftover AB763 tube charts . part of the circuit (power and preamp) is identical to the blackface AB763 schematic. . Vibrolux. 6G11, 6G11-A, AB763. Oxford 12L6, 12M6. Vibrolux Reverb .
http://www.superchamp.dk/papers/dating_fender_tube_amps.htm
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Bandmaster « fenderguru.com. Fender amps, mods, modifications ...
AA763/AB763 Tube layout (Seen from behind, V1 is to the right side) . pretty much of the amps in the Pro Reverb, Super Reverb and Vibrolux Reverb where the .
http://fenderguru.com/amps/bandmaster
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Fender Blackface Vibroverb | Ampwares
Jun 9, 2011 . Fender VibroVerb Blackface . Model/Circuit Number: AA763, AB763 . I had my Fender Custom Vibrolux Reverb circuit converted to the .
http://ampwares.com/amplifiers/fender-blackface-vibroverb/
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Vintage Fender Amp Repair
Vintage Fender Amp Repair specializes in do-it-yourself repair, mods & upgrades for vintage Fender blackface & silverface amps. Blackface Mod Kits, Recap kits, signal cap upgrades, Fender schematics, repairs, . Super Reverb AB763 layout . Vibrolux Reverb · Matched Power Tube Resistors · Princeton Reverb · Preamp .
http://vintagefenderamprepair.com/
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Audio-Hifi service manuals and schematics | ElektroTanya | Service ...
FENDER VIBROLUX AB763 SCH, FENDER VIBROLUX AB763 SCHEM. FENDER VIBROLUX REVERB AA270 LAYOUT SCH, FENDER VIBROVERB- 6G16- .
http://elektrotanya.com/?q=Audios&page=14
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Vibroverb « fenderguru.com. Fender amps, mods, modifications ...
AA763/AB763 Tube layout (Seen from behind, V1 is to the right side) . Vibroverb is very similar to the other blackface and silverface AB763 Fender amps. . Super Reverb, Pro Reverb, Twin Reverb, Vibroverb, Vibrolux) are designed so that .
http://fenderguru.com/amps/vibroverb
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Tube Amp Overhaul Kits - Torres Engineering
These kits require a bit of experience. You will be working from the original Fender layout drawing for the amp. Parts are replaced . Fender BANDMASTER AB763 Overhauls +BEEFED UP Kits . Vibrolux Reverb amp Overhaul kit 1 $195.95 .
http://torresengineering.stores.yahoo.net/tubampovpag.html
fender schematics listing - Pedalboards, Pedal ... - Pedalboard.net
Nov 1, 2011 . Go back to schematics page. Fender . Fender Deluxe Model AB763 Amplifier Fender Deluxe . AB763 Fender Vibrolux Reverb, Model AA270 .
http://www.pedalboard.net/fschemlist.htm
fenderguru.com's tricks to the holy grail of Fender tone - YouTube
Apr 6, 2011 . See our Buyer's guide to vintage Fender amps at . Yes, the bandmaster also has the same "AB763"? tube layout. . Soul of Tone: Johnny Marr - Vibrolux®by fendermusical38,542 views; Stratocaster -- Squier vs Fender vs .
http://www.youtube.com/watch?v=PN-Asxo-3iI
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?
Honeybee
is a Python library to create, run and visualize the results of daylight (
RADIANCE
) and energy analysis (EnergyPlus/
OpenStudio
). The current version supports only Radiance integration. For energy simulation you may use the legacy honeybee for Grasshopper.


EastEnders pay tribute to Dame Barbara Windsor by naming Louise's baby Peggy
EastEnders is set to pay tribute to the soap legend Dame Barbara Windsor by naming a new Walford resident after her infamous character Peggy Mitchell. Peggy’s granddaughter Louise Mitchell (played by Tilly Keeper) is pregnant with Keanu Taylor’s (Danny Walters) baby and is due to give birth in upcoming weeks, with the unborn infant to be christened after the late Queen Vic landlord.
Barbara’s husband Scott Mitchell revealed the actress was thrilled by the soap’s decision and it made her ‘quite emotional’.
He admitted: ‘She thought what a lovely thing it is Peggy Mitchell will live on in a family member. What a lovely tribute.
‘It made her quite emotional and I have been reminding her each time we watch the show every night.’
Scott added to The Sun: ‘Each time her whole face lights up.’
Babs’ Peggy first arrived in Albert Square back in 1994, having taken over the role from Jo Warne.
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She was a major character on the soap with a number of huge storylines, such as her failed relationship with Archie Mitchell (Larry Lamb) and her on/off friendship with Pat Evans (Pam St Clement), and of course had the iconic catchphrase ‘get out of my pub’.
Peggy bowed out of EastEnders in 2016 when it was revealed she had refused her cancer treatment. She later took her own life in a bid to not be beaten by the illness she was facing.
Barbara stepped out of the limelight two years prior to her departure after being diagnosed with Alzheimer’s disease.
Despite battling the degenerative brain condition, Scott revealed last month that the 82-year-old has kept onto her humour.
‘The thing that we know about dementia and Alzheimer’s is that it’s a progressive illness, so you know you’re heading in one direction,’ he said.
‘So, yes, things progress but she still has that wonderful sense of humour, she can still laugh and have a giggle and watch telly, and we go out occasionally.’
EastEnders continues on Monday at 8pm on BBC One.
Got a showbiz story?
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Preparation time
less than 30 mins
Cooking time
no cooking required
Serves
Makes 12
Dietary
Brilliant to make with little children over the holidays, these easy chocolate crispy cakes are a perennial favourite.
Line a 12-hole fairy cake tin with paper cases.
Melt the chocolate, golden syrup and butter in a bowl set over a pan of gently simmering water, (do not let the base of the bowl touch the water). Stir the mixture until smooth.
Remove the bowl from the heat and gently stir in the cornflakes until all of the cereal is coated in the chocolate.
Divide the mixture between the paper cases and press 3 chocolate eggs into the centre of each nest. Chill in the fridge for 1 hour, or until completely set.
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Melting chocolate


My Research Study
Investigator:John Doe, Jane Doe (co-investigator)
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--- layout: post title: ">Versioning business events" date: 2010-03-31 12:33:00.000000000 +02:00 categories: [] tags: [] status: draft type: post published: false meta: blogger_blog: andreasohlund.blogspot.com blogger_permalink: "/feeds/1373345538737679187/posts/default/2713806663424627251" author: login: andreas.ohlund email<EMAIL_ADDRESS>display_name: Andreas Öhlund first_name: Andreas last_name: "Öhlund" ---
>
Since events are broadcasted throughout the entire application, events should contain the information needed by the variety of possible event listeners that exist or might exist in the future. It is impossible to exactly predict what information is needed by event handling components. However, there are a few guidelines that will cover most of the cases.
* Interface
* Xml
Sample code


JavaScript for Loops
Reduce Activity in Loops
The for/in statement loops through the properties of an object.
Switch Statement
While Statement
JavaScript do ... while
A loop with a break.
A loop which will skip the step where i = 3.
A list loop


August 7, 2015
Everyone grew up in a different environment and thus each has different opinions. Whenever those opinions clash, you have a conflict. Overall I would say that I am a pretty passive person. When I am with my family or friends, since I know them well enough, I can normally predict when and what conflicts may occur. In those cases, unless the other person's opinion will directly effect me, I would normally give in. Obviously, in the work environment, you cannot always avoid conflict.
When I had worked at Citibank, there were many times when I did not see eye-to-eye with my coworkers. Communication was bit difficult since the team that I worked with were across the country. My position consisted of being the bridge between the clients and the loan processors. There would be many times when the Processors were slow in working the file so the clients would start to get upset. I would get as much done on my own as I could to the point where all the processor had to do was submit the loan to the Underwriter for review. The conflict was when the Processor would be unresponsive, causing unnecessary delays.
I would get very frustrated because I had felt unvalued by the processors. I had understood that they were busy as well so I took the time to organize the loan documents and make sure documents were completed correctly. When I helped lessened their workload, I believed that they should have returned the favor by getting the file in line for review as quickly as possible. I felt a responsibility to the clients to get their loan approved quickly so it upset me to think that the Processors did not care about client satisfication. It wasn't long before I started to have negative feelings towards certain Processors and thinking that they were lazy and had no pride in their work.
In order to solve the conflict of delays, I had a system where I would send the Processors three emails over three days to work on the file. It was company policy that the Processors were to respond within 24 hours to an email so I was giving them plenty of time. If they responded, that would be the end of the conflict. If the file still did not move down the assembly line, I would contact the processing manager. Once the manager was involved, the files tended to move quickly. If I still had issues, I would get my own manager involved. Since it rarely got to the point were I needed my own manager involved, my manager would jump on the issue in a heartbeat whenever I brought him in.
I believed that the way I handled my work conflict was correct and would not change my actions. I got along well with most of the Processors and had given fair warning to few who were unresponsive before contacting their managers. I was empathetic to their situation when they were overworked but if they didn't say anything to me at all, there was nothing I could do about it.
I learned that in the times when you are having difficulties, you have to tell the other person before it gets to a point where a conflict arises. If you have too much work on your plate or if you don't understand something, you should make it known so that they can help you or at least understand where you are coming from. If you completely ignore someone, nothing will get done.


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杜明斯（Doemens）啤酒学院
Doemens Academy Munich
In 1895, Dr. Albert Doemens expressed his thoughts in the register of the newly founded Academy for Brewers in Munich concerning the education of its future students as follows: They shall “be provided with the level of instruction and practical training necessary to acquire enough knowledge and competence that the skills essential for a successful career in the field of brewing become second nature to them".
The clarity of Dr. Albert Doemens’ vision laid the foundation for the proud traditions still alive today, which have contributed to Doemens becoming an internationally recognized institution serving the brewing, beverage and food industries.
The most significant milestones of the last several decades have included:
the founding of the non-profit organization of the Doemens School in 1965
dedication of the 5 hl teaching and laboratory brewery as well as the filling and packaging facilities of the Doemens Technikum
expansion of the Doemens Academy to a four semester technical school
federal accreditation of Doemens as a Fachakademie (technical academy) in 1992
1st training course "process manager beverage industry" in 1982
1st training course "process manager food industry" in 1989
1st training course "commercial manager beverage industry" in 1993
establishment of the World Brewing Academy (wba) in cooperation with the Chicago Siebel Institute in 2000
introduction of the Internet distance learning program (web-based training: "Brewing Technology") in 2003
1st training course "Beer Sommelier" in 2004
commissioning of the PET bottling and packaging line and the pilot draft system in 2009
Since 1965, approximately two thousand graduates have received their qualifications from Doemens and are now holding responsible positions in companies in the brewing and beverage industriy in more than 80 countries around the world.
Within the scope of the newly developed business plan, Doemens started off into the new millennium with customer-oriented strategic goals, new organization and management, a refreshed corporate design and a rejuvenated team.
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associated with establishing the connection. User agents must implement the
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There is no default type for resources given by the preconnect
keyword.


7.3.1. Raising a Matrix to a High Power
Suppose \(A\) is diagonalizable and there is an invertible matrix \(P\) such that \(P^{-1} AP = D\). Observe that \(P^{-1} AP = D\) can be rearranged as \(A = PDP^{-1}\). We have,
\[\begin{align*}
&P^{-1} AP = D,\\
\text{Multiplying from left by }P~\Rightarrow \quad & PP^{-1} AP = PD,\\
\Rightarrow \quad & AP=PD,\\
\text{Multiplying from right by }P^{-1}~\Rightarrow \quad & APP^{-1}=PDP^{-1},\\
\Rightarrow \quad & A=PDP^{-1}.
\end{align*}\]
Now, consider \(A^2\). Since \(A=PDP^{-1}\), it follows that
\[\begin{align*}
A^2=\underbrace{PDP^{-1}}_{A}\underbrace{PDP^{-1}}_{A}=PD^2P^{-1}.
\end{align*}\]
Similarly,
\[\begin{align*}
A^3=\underbrace{PDP^{-1}}_{A}\underbrace{PDP^{-1}}_{A}\underbrace{PDP^{-1}}_{A}=PD^3P^{-1}.
\end{align*}\]
In general,
\[\begin{align*}
A^n=\underbrace{PDP^{-1}PDP^{-1}\ldots PDP^{-1}}_{n\text{ times}}=PD^nP^{-1}.
\end{align*}\]
Therefore, we have reduced the problem to finding \(D^n\). In order to compute \(D^n\) , then because \(D\) is diagonal we only need to raise every entry on the main diagonal of \(D\) to the power of \(n\).
This can be useful if we wanted to compute \(A^{100}\). By diagonalizing A first it suffices to then compute \(\left(PDP^{-1}\right)^{100}\), which reduces to \(PD^{100} P^{-1}\). This last computation is much simpler than \(A^{100}\).
Example:
Let \(A =\begin{bmatrix} 1 & 1 & 0\\ 0 & 2 & 0\\ 0 & 2 & 1 \end{bmatrix}\). Find \(A^{10}\).
Solution:
The characteristic polynomial:
\[\begin{align*}
c_A (\lambda) &= \det(\lambda I-A)=
\left|\begin{array}{ccc} \lambda -1 & -1 & 0\\ 0 & \lambda -2 & 0\\ 0 & -2 & \lambda -1 \end{array}\right|
\\&=
(\lambda -1)\left|\begin{array}{cc} \lambda -2 & 0\\ -2 & \lambda -1 \end{array}\right| \\&=
(\lambda - 2)(\lambda - 1)^2
\end{align*}\]
The eigenvalues of \(A\) are the the roots of \(c_A(\lambda)\):
\[\begin{align*}
\lambda_1 =\lambda_2= 1 \quad \text{and} \quad \lambda_3 = 2.
\end{align*}\]
Note that here \(2\) is the dominant eigenvalue of \(A\) since \(|\lambda_3|=|2|>|1|=|\lambda_1|=|\lambda_2|\).
\(\lambda_1 =\lambda_2= 1\)
The eigenvectors corresponding to \(\lambda_1 =\lambda_2 = 1\):
\[\begin{align*}
&(\lambda_1 I-A)X =0,
\quad \Rightarrow \quad
\left(I-\begin{bmatrix} 1 & 1 & 0\\ 0 & 2 & 0\\ 0 & 2 & 1 \end{bmatrix} \right)X =\begin{bmatrix}0\\ 0\\0\end{bmatrix},
\quad \Rightarrow \quad
\begin{bmatrix}0 & -1 & 0\\ 0 & -1 & 0\\ 0 & -2 & 0 \end{bmatrix}X =\begin{bmatrix}0\\ 0\\0\end{bmatrix}.
\end{align*}\]
The augmented matrix for finding the solutions is given by
\[\begin{align*}
\left[\begin{array}{ccc|c} 0 & -1 & 0 & 0\\ 0 & -1 & 0 & 0\\ 0 & -2 & 0 & 0 \end{array}\right]
\end{align*}\]
and the reduced row-echelon form of this matrix is
\[\begin{align*}
\left[\begin{array}{ccc|c} 0 & {1} & 0 & 0\\ 0 & 0 & 0 & 0\\ 0 & 0 & 0 & 0 \end{array}\right]
\end{align*}\]
Hence, the general solution \(X\) to \((I-A)X =0\) is
\[\begin{align*}
s \begin{bmatrix} 1\\ 0\\ 0 \end{bmatrix}+t \begin{bmatrix} 0\\ 0\\ 1 \end{bmatrix},\quad s,t\neq0.
\end{align*}\]
Therefore, we can use \(X_1 =\begin{bmatrix} 1\\ 0\\ 0 \end{bmatrix}\)
and \(X_2 =\begin{bmatrix} 0\\ 0\\ 1 \end{bmatrix}\) as the basic eigenvectors corresponding to \linebreak \(\lambda_1=\lambda_2= 1\).
Similarly,
\[\begin{align*}
&(\lambda_3 I-A)X =0,
\quad \Rightarrow \quad
\left(2I-\begin{bmatrix} 1 & 1 & 0\\ 0 & 2 & 0\\ 0 & 2 & 1 \end{bmatrix} \right)X =\begin{bmatrix}0\\ 0\\0\end{bmatrix},
\quad \Rightarrow \quad
\begin{bmatrix}1 & -1 & 0\\ 0 & 0 & 0\\ 0 & -2 & 1 \end{bmatrix}X =\begin{bmatrix}0\\ 0\\0\end{bmatrix}.
\end{align*}\]
The augmented matrix:
\[\begin{align*}
\left[\begin{array}{ccc|c} 1 & -1 & 0 & 0\\ 0 & 0 & 0 & 0\\ 0 & -2 & 1 & 0 \end{array}\right]
\end{align*}\]
and the reduced row-echelon form:
\[\begin{align*}
\left[\begin{array}{ccc|c} {1} & 0 & -\frac{1}{2} & 0\\ 0 & {1} & -\frac{1}{2} & 0\\ 0 & 0 & 0 & 0 \end{array}\right]
\end{align*}\]
Letting \(t=2\), the general solution \(X\) to \((4I-A)X =0\) is
\[\begin{align*}
t \begin{bmatrix} 1/2\\1/2\\1 \end{bmatrix},\quad t\neq0.
\end{align*}\]
Therefore, we can use \(X_3 =\begin{bmatrix} 1\\1\\2 \end{bmatrix}\) as the basic eigenvector corresponding to \(\lambda_3 = 2\).
We can construct matrix \(P\) as follows.
\[\begin{align*}
P =\begin{bmatrix} | & | & |\\ X_1 & X_2 & X_3\\ | & | & |\end{bmatrix}=
\begin{bmatrix}1 & 0 & 1\\ 0 & 0 & 1\\ 0 & 1 & 2 \end{bmatrix}.
\end{align*}\]
It follows that,
\[\begin{align*}
P^{-1} =\begin{bmatrix} 1 & -1 & 0\\ 0 & -2 & 1\\ 0 & 1 & 0 \end{bmatrix}.
\end{align*}\]
Therefore,
\[\begin{align*}
D=P^{-1}AP=
\begin{bmatrix} 1 & -1 & 0\\ 0 & -2 & 1\\ 0 & 1 & 0 \end{bmatrix}
\begin{bmatrix} 1 & 1 & 0\\ 0 & 2 & 0\\ 0 & 2 & 1 \end{bmatrix}
\begin{bmatrix}1 & 0 & 1\\ 0 & 0 & 1\\ 0 & 1 & 2 \end{bmatrix}
=\begin{bmatrix} 1 & 0 & 0\\ 0 & 1 & 0\\ 0 & 0 & 2 \end{bmatrix}
=\begin{bmatrix} {\color{red}\lambda_1} & 0 & 0\\ 0 & {\color{red}\lambda_2} & 0\\ 0 & 0 & {\color{red}\lambda_3} \end{bmatrix}.
\end{align*}\]
Now, we have,
\[\begin{align*}
P=\begin{bmatrix}1 & 0 & 1\\ 0 & 0 & 1\\ 0 & 1 & 2 \end{bmatrix},~
P^{-1}=\begin{bmatrix} 1 & -1 & 0\\ 0 & -2 & 1\\ 0 & 1 & 0 \end{bmatrix},
\text{ and }
D=\begin{bmatrix} 1 & 0 & 0\\ 0 & 1 & 0\\ 0 & 0 & 2 \end{bmatrix}.
\end{align*}\]
Therefore,
\[\begin{align*}
A^{10}=PD^{10}P^{-1}&=
\begin{bmatrix}1 & 0 & 1\\ 0 & 0 & 1\\ 0 & 1 & 2 \end{bmatrix}
\begin{bmatrix} 1 & 0 & 0\\ 0 & 1 & 0\\ 0 & 0 & 2 \end{bmatrix}^{10}
\begin{bmatrix} 1 & -1 & 0\\ 0 & -2 & 1\\ 0 & 1 & 0 \end{bmatrix} \\ &=
\begin{bmatrix}1 & 0 & 1\\ 0 & 0 & 1\\ 0 & 1 & 2 \end{bmatrix}
\begin{bmatrix} 1^{10} & 0 & 0\\ 0 & 1^{10} & 0\\ 0 & 0 & 2^{10} \end{bmatrix}
\begin{bmatrix} 1 & -1 & 0\\ 0 & -2 & 1\\ 0 & 1 & 0 \end{bmatrix} \\ &=
\begin{bmatrix}1 & 0 & 1\\ 0 & 0 & 1\\ 0 & 1 & 2 \end{bmatrix}
\begin{bmatrix} 1 & 0 & 0\\ 0 & 1 & 0\\ 0 & 0 & 2^{10} \end{bmatrix}
\begin{bmatrix} 1 & -1 & 0\\ 0 & -2 & 1\\ 0 & 1 & 0 \end{bmatrix} \\ &=
\begin{bmatrix} 1 & 0 & 2^{10}\\ 0 & 0 & 2^{10}\\ 0 & 1 & 2^{11} \end{bmatrix}
\begin{bmatrix} 1 & -1 & 0\\ 0 & -2 & 1\\ 0 & 1 & 0 \end{bmatrix}=
\begin{bmatrix}1 & 2^{10}-1 & 0\\ 0 & 2^{10} & 0\\ 0 & 2(2^{10}-1) & 1 \end{bmatrix}.
\end{align*}\]
7.3.3. 7.3.3 Markov Matrices
Markov Chain
A Markov chain is a progressive system in which the next state only depends on its current/present state.
Transition Matrix
A transition Matrix is comprised of non-negative numbers in which the sum of each column is equal to one.
This matrix matrix can be shown as \(A =[a_{ij}]_{n\times n}\) where \(a_{ij}\) denotes the probability of transition to state \(i\) from state \(j\).
State Vector
Let \(x_{in}\) denote the probability that the system is in state \(i\) after \(m\) transitions. Then, \(n\times 1\) matrices
\[\begin{align*}
X_n=\begin{bmatrix}x_{1n} & x_{2n} & \dots & x_{mn}\end{bmatrix}^T
\end{align*}\]
are called the state vector at period \(n\). Likewise, \(X_0\) is known as the initial state vector for the Markov chain.
Theorem:
Assume that \(A\) is the transition matrix of a Markov chain and \(X_n\) is the state vector at period \(n\). Then, \(X_{n+1}\) is the state vector at period \(n+1\), and it is give by
\[\begin{align*}
&X_{n+1} = AX_n, & n=0,1,2,\ldots.
\end{align*}\]
Remark:
The transition matrix also is known as the Migration matrix.
Example:
Consider the migration matrix
\[\begin{align*}
A=\left[\begin{array}{ccc} 0.5 & 0.2 & 0.4\\ 0.3 & 0.4 & 0\\ 0.2 & 0.4 & 0.6 \end{array}\right]
\end{align*}\]
for locations 1,2, and 3. Suppose initially there are 150 residents in location 1 , 150 in location 2 and 200 in location 3 . Find the population in the three locations after 5 units of time.
Solution:
The initial state vector
\[\begin{align*}
X_0=\left[\begin{array}{c} 150.0\\ 150.0\\ 200.0 \end{array}\right]
\begin{array}{c} \leftarrow~\text{Population in location 1}\\ \leftarrow~\text{Population in location 2}\\ \leftarrow~\text{Population in location 3} \end{array}.
\end{align*}\]
We can find the population in each location using the equation \(X_{n+1} =AX_{n}\). We have
\[\begin{align*}
X_1&=AX_0=\left[\begin{array}{ccc} 0.5 & 0.2 & 0.4\\ 0.3 & 0.4 & 0\\ 0.2 & 0.4 & 0.6 \end{array}\right]\left[\begin{array}{c} 150.0\\ 150.0\\ 200.0 \end{array}\right]=\left[\begin{array}{c} 185.0\\ 105.0\\ 210.0 \end{array}\right], \\
X_2&=AX_1=\left[\begin{array}{ccc} 0.5 & 0.2 & 0.4\\ 0.3 & 0.4 & 0\\ 0.2 & 0.4 & 0.6 \end{array}\right]\left[\begin{array}{c} 185.0\\ 105.0\\ 210.0 \end{array}\right]=\left[\begin{array}{c} 197.5\\ 97.5\\ 205.0 \end{array}\right], \\
X_3&=AX_2=\left[\begin{array}{ccc} 0.5 & 0.2 & 0.4\\ 0.3 & 0.4 & 0\\ 0.2 & 0.4 & 0.6 \end{array}\right]\left[\begin{array}{c} 197.5\\ 97.5\\ 205.0 \end{array}\right]=\left[\begin{array}{c} 200.25\\ 98.25\\ 201.5 \end{array}\right], \\
X_4&=AX_3=\left[\begin{array}{ccc} 0.5 & 0.2 & 0.4\\ 0.3 & 0.4 & 0\\ 0.2 & 0.4 & 0.6 \end{array}\right]\left[\begin{array}{c} 200.25\\ 98.25\\ 201.5 \end{array}\right]=\left[\begin{array}{c} 200.375\\ 99.375\\ 200.25 \end{array}\right], \\
X_5&=AX_4=\left[\begin{array}{ccc} 0.5 & 0.2 & 0.4\\ 0.3 & 0.4 & 0\\ 0.2 & 0.4 & 0.6 \end{array}\right]\left[\begin{array}{c} 200.375\\ 99.375\\ 200.25 \end{array}\right]=\left[\begin{array}{c} 200.1625\\ 99.8625\\ 199.975 \end{array}\right]
\begin{array}{c} \leftarrow~\text{Population in location 1}\\ \leftarrow~\text{Population in location 2}\\ \leftarrow~\text{Population in location 3} \end{array}.
\end{align*}\]
Since we are speaking about populations, we would need to round these numbers to provide a logical answer. Therefore, we can say that after 5 units of time, there will be 200 residents in location one, 100 in location two, and 200 in location three.
Note that the total population is unchanged, it simply migrates within the given locations.
<IP_ADDRESS>. Simplified Weather Example
Simplified Weather Model:
For sake of simplicity, let’s assume that the weather can only be in one of three possible states,
Sunny (S),
Cloudy (C),
Rainy (R).
In this case, the states are the days.
Example:
If the present day is sunny, there is a 40% possibility of a sunny day for the next day and a 40% chance of a cloudy day for the next day (and a 20% chance it will be rainy the next day).
If the present day is cloudy, then there is a 40% chance of having a rainy next day, and a 25% chance that it will be sunny the next day.
If the present day is rainy, then there is a 30% chance it will be rainy the next day, and a 50% chance that it will be cloudy the next day.
suppose that it is cloudy on Wednesday. What is the probability that it will be rainy on Friday?
Solution:
We put the transition probabilities into a transition matrix,
Note that the sum of the entries in each column is equal to one.
The initial state vector, \(X_0\), corresponds to the state of the weather on Wednesday (it is cloudy); therefore,
\[\begin{align*}X_0 =\left[\begin{array}{l}0 \\ 1 \\ 0\end{array}\right]
\begin{array}{c}\mbox{S} \\ \mbox{C} \\ \mbox{R} \end{array}
\end{align*}\]
The state vector for Thursday:
\[\begin{align*}
X_1&=AX_0=\left[\begin{array}{ccc} 0.4 & 0.25 & 0.2\\ 0.4 & 0.35 & 0.5\\ 0.2 & 0.4 & 0.3 \end{array}\right]\left[\begin{array}{c} 0\\ 1.0\\ 0 \end{array}\right]=\left[\begin{array}{c} 0.25\\ 0.35\\ 0.4 \end{array}\right]
\begin{array}{c}\mbox{S} \\ \mbox{C} \\ \mbox{R} \end{array}.
\end{align*}\]
The state vector for Friday:
\[\begin{align*}
X_2&=AX_1=\left[\begin{array}{ccc} 0.4 & 0.25 & 0.2\\ 0.4 & 0.35 & 0.5\\ 0.2 & 0.4 & 0.3 \end{array}\right]\left[\begin{array}{c} 0.25\\ 0.35\\ 0.4 \end{array}\right]=\left[\begin{array}{c} 0.2675\\ 0.4225\\ 0.31 \end{array}\right]
\begin{array}{c}\mbox{S} \\ \mbox{C} \\ \mbox{R} \end{array}.
\end{align*}\]
Therefore, the probability that it will be rainy on Sunday is 31.00%.
<IP_ADDRESS>. Random Walks
Assume that someone is walking and there are \(m\) locations that they can go next, denoted by \(1,2,\ldots ,m\). Assume that \(a_{ij}\) is the probability that the person will travel to location \(i\) from location \(j\). Again, this requires that
\[\begin{align*}
\sum_{i=1}^{k} x_{ij}= 1
\end{align*}\]
In this context, the vector
\[\begin{align*}
X_{{\color{red}n}}= \begin{bmatrix}
x_{{\color{blue}1}{\color{red}n}}
& x_{{\color{blue}2}{\color{red}n}}
& x_{{\color{blue}3}{\color{red}n}}
& \dots
& x_{{\color{blue}m}{\color{red}n}}
\end{bmatrix}^T
\end{align*}\]
contains the probabilities \(x_{in}\) the walker ends up in location \(i\) with \(1 \leq i \leq m\) at time \(n\).
Example:
A person sets off on a random walk with three possible locations. The Markov matrix of
probabilities \(A = [a_{i,j}]\) is given by
\[\begin{align*}
A=\left[\begin{array}{ccc} 0.1 & 0.3 & 0.5\\ 0.1 & 0.3 & 0.2\\ 0.8 & 0.4 & 0.3 \end{array}\right].
\end{align*}\]
If the walker starts in location 1, what is the probability of ending back in location 3 at time \(n = 3\)?
Solution:
We need to find \(x_{{\color{blue}m}{\color{red}n}}\) with \({\color{blue}m=3}\) and \({\color{red}n=3}\). Since the walker begins in location 1, we have
\[\begin{align*}
X_{{\color{red}0}}=\begin{bmatrix}x_{{\color{blue}1}{\color{red}0}}
\\x_{{\color{blue}2}{\color{red}0}}
\\x_{{\color{blue}3}{\color{red}0}}\end{bmatrix}
=\left[\begin{array}{c} 1\\ 0\\ 0 \end{array}\right]\begin{array}{c} \leftarrow~\text{location 1}\\ \leftarrow~\text{location 2}\\ \leftarrow~\text{location 3} \end{array}.
\end{align*}\]
Using \(X_{n+1} = AX_n\), we have
\[\begin{align*}
X_1=AX_0&=
\left[\begin{array}{ccc} 0.1 & 0.3 & 0.5\\ 0.1 & 0.3 & 0.2\\ 0.8 & 0.4 & 0.3 \end{array}\right]
\left[\begin{array}{c} 1\\ 0\\ 0 \end{array}\right]
=\left[\begin{array}{c} 0.1\\ 0.1\\ 0.8 \end{array}\right],
\\
X_2=AX_1&=
\left[\begin{array}{ccc} 0.1 & 0.3 & 0.5\\ 0.1 & 0.3 & 0.2\\ 0.8 & 0.4 & 0.3 \end{array}\right]
\left[\begin{array}{c} 0.1\\ 0.1\\ 0.8 \end{array}\right]
= \left[\begin{array}{c} 0.44\\ 0.2\\ 0.36 \end{array}\right],
\\
X_3=AX_2&=
\left[\begin{array}{ccc} 0.1 & 0.3 & 0.5\\ 0.1 & 0.3 & 0.2\\ 0.8 & 0.4 & 0.3 \end{array}\right]
\left[\begin{array}{c} 0.44\\ 0.2\\ 0.36 \end{array}\right]
= \left[\begin{array}{c} 0.284\\ 0.176\\ {0.54} \end{array}\right]
\begin{array}{c} \leftarrow~\text{location 1}\\ \leftarrow~\text{location 2}\\ \leftarrow~\text{location 3} \end{array}.
\end{align*}\]
Note that we only need location \(3\) at \(n=3\) (\(x_{{\color{blue}3}{\color{red}3}}\)); therefore, it is enough to compute only the (3,1)-entry of \(AX_2\),
\[\begin{align*}
\begin{bmatrix} 0.8 & 0.4 & 0.3 \end{bmatrix}\begin{bmatrix}0.44\\ 0.2\\ 0.36\end{bmatrix}=0.54
\end{align*}\]
<IP_ADDRESS>. Steady Vector
When the state vector remains unchanged from a step to the next step, this vector is called the Steady State Vector.
\[\begin{align*}
X_s = AX_s
\end{align*}\]
where \(X_s\) has positive entries which have the same sum as the entries of \(X_0\). As n increases, the state vectors \(X_n\) will approach \(X_s\).
Remark:
Note that the condition in above theorem can be written as \((I-A)X_s = 0\), representing a homogeneous system of equations (similar to eigenvectors corresponding \(\lambda=1\)).
Proposition: Eigenvalues of a Transition Matrix
\(\lambda=1\) is always an eigenvalue for transition matrix \(A\).
Example:
Consider the migration matrix
\[\begin{align*}
A =\left[\begin{array}{ccc} 0.4 & 0.2 & 0.4\\ 0.4 & 0.4 & 0.2\\ 0.2 & 0.4 & 0.4 \end{array}\right]
\end{align*}\]
for locations \(1\),\(2,\) and \(3\). Suppose initially there are \(100\) residents in location \(1\), \(300\) in location \(2\) and
\(200\) in location \(3\). Find the population in the three locations after a long time.
Solution:
After a long time, we reach a steady state. It follows from the above theorem that \(X_s = AX_s\), where \(X_s\) is a steady state vector. Finding this steady state vector, we have,
\[\begin{align*}
X_s = AX_s \Rightarrow (I-A)X_s=0 \quad \Rightarrow \quad&
\left(\begin{bmatrix}1 & 0 & 0\\ 0 & 1 & 0\\ 0 & 0 & 1\end{bmatrix}
-\left[\begin{array}{ccc} 0.4 & 0.2 & 0.4\\ 0.4 & 0.4 & 0.2\\ 0.2 & 0.4 & 0.4 \end{array}\right]\right)X_s=
\begin{bmatrix}0\\0\\0\end{bmatrix},
\\ \quad \Rightarrow \quad &
\left[\begin{array}{ccc} 0.6 & -0.2 & -0.4\\ -0.4 & 0.6 & -0.2\\ -0.2 & -0.4 & 0.6 \end{array}\right]X_s=
\begin{bmatrix}0\\0\\0\end{bmatrix}.
\end{align*}\]
The augmented matrix:
\[\begin{align*}
\left[\begin{array}{rrr|c} \frac{3}{5} & -\frac{1}{5} & -\frac{2}{5} & 0\\ -\frac{2}{5} & \frac{3}{5} & -\frac{1}{5} & 0\\ -\frac{1}{5} & -\frac{2}{5} & \frac{3}{5} & 0 \end{array}\right],
\end{align*}\]
and in RREF
\[\begin{align*}
\left[\begin{array}{ccc|c} {1} & 0 & -1 & 0\\ 0 & {1} & -1 & 0\\ 0 & 0 & 0 & 0 \end{array}\right].
\end{align*}\]
Therefore, general solution
\[\begin{align*}
X_s= t\begin{bmatrix}1 \\ 1 \\ 1\end{bmatrix}.
\end{align*}\]
The initial vector \(X_0\) is given by \(X_0=\begin{bmatrix}100 \\ 300 \\ 200\end{bmatrix}.\)
We know that \(X_s\) has positive entries which have the same sum as the entries of \(X_0\). Therefore,
\[\begin{align*}
\text{Sum of entries of $X_s$}&=\text{Sum of entries of $X_0$}\\
t+t+ t&=100+300+200,\\
3t&=600,\\
t&=200.
\end{align*}\]
Therefore, the population in the long run is given by
\[\begin{align*}
X_s= 200 \left[\begin{array}{c}1 \\ 1 \\ 1 \end{array}\right]=\left[\begin{array}{c} 200\\ 200\\ 200 \end{array}\right].
\end{align*}\]
<IP_ADDRESS>. Dynamical Systems
A sequence \(V_0, V_1 , V_2 , \ldots\) of vectors in \(\mathbb{R}^n\) is called a linear dynamical system if \(V_0\) is specified and \(V_1, V_2 ,\ldots\) are given by an \(n\times n\) matrix \(A\) is as follows,
\[\begin{align*}
V_{n+1}= AV_n,
\end{align*}\]
for each \(n \geq 0\).
Matrix Recurrence
The following linear dynamical system
\[\begin{align*}
\begin{cases}
x_{n+1} = ax_n +by_n,\\
y_{n+1} = cx_n +dy_n.
\end{cases}
\end{align*}\]
can be expressed as
\[\begin{align*}
V_{n+1} = AV_{n} = A^{2}V_{n-1}= A^{3}V_{n-2} = A^{n}V_{0}
\end{align*}\]
where \(V_n =\begin{bmatrix}x_{n}\\y_{n}\end{bmatrix}\) and \(A =\begin{bmatrix}a & b\\c & d\end{bmatrix}\).
Solving a Dynamical System:
For the following linear dynamical system
\[\begin{align*}
\begin{cases}
x_{n+1} = ax_n +by_n,\\
y_{n+1} = cx_n +dy_n.
\end{cases}
\end{align*}\]
where \(x_0\) and \(y_0\) are available, the solutions to this system can be found as follows,
Form \(V_{n+1} = AV_n = \ldots = A^{n}V_{0}\) where \(V_n =\begin{bmatrix}x_{n}\\y_{n}\end{bmatrix}\) and \(A =\begin{bmatrix}a & b\\c & d\end{bmatrix}\),
Diagonalize \(A\) and form \(A = PDP^{-1}\),
\(V_{n} = \underbrace{PD^nP^{-1}}_{A^n}V_0\) where \(V_n =\begin{bmatrix}x_{0}\\y_{0}\end{bmatrix}\),
Find a general solution for \(n\). This general solution can produce \(V_{n}\) for any given \(n\).
Example 7.42 - from the textbook:
Suppose a dynamical system is given by
\[\begin{align*}
\begin{cases}
x_{n+1} = 1.5x_n -0.5y_n,\\
y_{n+1} = 1.0x_n.
\end{cases}
\end{align*}\]
Express this system as a matrix recurrence and find solutions to the dynamical system for initial
conditions \(x_0 = 20\), \(y_0 = 10\).
Solution:
First, we express the system as a matrix recurrence, \(V_{n+1} = AV_n\). Here, \(A=\left[\begin{array}{cc} \frac{3}{2} & -\frac{1}{2}\\ 1 & 0 \end{array}\right]\), and
\[\begin{align*}
\begin{bmatrix}x_{n+1}\\y_{n+1}\end{bmatrix}=
\left[\begin{array}{cc} \frac{3}{2} & -\frac{1}{2}\\ 1 & 0 \end{array}\right]
\begin{bmatrix}x_{n}\\y_{n}\end{bmatrix}.
\end{align*}\]
Now we need to diagonalize \(A\) to be written as \(A = PDP^{-1}\). We have can find the eigenvalues as follows,
\[\begin{align*}
\det(\lambda I-A)=0
\quad \Rightarrow \quad
\left|\begin{array}{cc} \lambda -\frac{3}{2} & \frac{1}{2}\\ -1 & \lambda \end{array}\right|=0
\quad \Rightarrow \quad
\frac{1}{2}(2\,\lambda -1)(\lambda -1)=0
\quad \Rightarrow \quad
\lambda=1,~\frac{1}{2}.
\end{align*}\]
\noindent\hl{\(\lambda_1 = 1\)}\hrulefill \
\[\begin{align*}
&(\lambda_1 I-A)X =0
\quad \Rightarrow \quad
\left[\begin{array}{cc} -\frac{1}{2} & \frac{1}{2}\\ -1 & 1 \end{array}\right]X =\begin{bmatrix}0\\ 0\end{bmatrix}.
\end{align*}\]
The augmented matrix:
\[\begin{align*}
\left[\begin{array}{cc|c} -\frac{1}{2} & \frac{1}{2} & 0\\ -1 & 1 & 0 \end{array}\right]
\Rightarrow \quad {\text{in RREF}} \quad \Rightarrow
\left[\begin{array}{cc|c} 1 & -1 & 0\\ 0 & 0 & 0 \end{array}\right]
\end{align*}\]
The general solution:
\[\begin{align*}t \begin{bmatrix} 1\\1 \end{bmatrix},\quad t\neq0.
\end{align*}\]
Thus, we can use \(X_1 =\begin{bmatrix} 1\\1\end{bmatrix}\) as the basic eigenvector corresponding to \(\lambda_1\).
\newpage\noindent\hl{\(\lambda_2 = 1/2\)}\hrulefill \
\[\begin{align*}
&(\lambda_2 I-A)X =0,
\quad \Rightarrow \quad
\begin{bmatrix} -1 & \frac{1}{2}\\ -1 & \frac{1}{2} \end{bmatrix}X =\begin{bmatrix}0\\ 0\end{bmatrix}.
\end{align*}\]
The augmented matrix:
\[\begin{align*}
\left[\begin{array}{cc|c} -1 & \frac{1}{2} & 0\\ -1 & \frac{1}{2} & 0 \end{array}\right]
\Rightarrow \quad {\text{in RREF}} \quad \Rightarrow
\left[\begin{array}{cc|c} 1 & -\frac{1}{2} & 0\\ 0 & 0 & 0 \end{array}\right]
\end{align*}\]
The general solution:
\[\begin{align*}t \begin{bmatrix} 1/2\\1 \end{bmatrix},\quad t\neq0.
\end{align*}\]
letting \(t=2\), we can use \(X_2 =\begin{bmatrix} 1\\ 2 \end{bmatrix}\) as the basic eigenvector corresponding to \(\lambda_2\).
\newline\rule{\textwidth}{0.25pt}\newline
It can be seen that \(X_1=\begin{bmatrix}1\\ 1 \end{bmatrix}\) and \(X_2=\begin{bmatrix}1\\ 2 \end{bmatrix}\) are basic eigenvectors corresponding
\(\lambda_1=1\) and \(\lambda_2=\frac{1}{2}\) respectively. Thus,
\[\begin{align*}
A = PDP^{-1}=
\left[\begin{array}{cc} 1 & 1\\ 1 & 2 \end{array}\right]
\left[\begin{array}{cc} 1 & 0\\ 0 & \frac{1}{2} \end{array}\right]
\left[\begin{array}{cc} 2 & -1\\ -1 & 1 \end{array}\right]
\end{align*}\]
Then we need to evaluate \(V_{n} = PD^{n}P^{-1}V_0\) where \(\begin{bmatrix}x_{0}\\y_{0}\end{bmatrix}=\begin{bmatrix}20\\10\end{bmatrix}\). It follows that,
\[\begin{align*}
V_{n} = PD^nP^{-1}V_0 & =
\left[\begin{array}{cc} 1 & 1\\ 1 & 2 \end{array}\right]
\left[\begin{array}{cc} 1 & 0 \\ 0 & \dfrac{1}{2} \end{array}\right]^n
\left[\begin{array}{cc} 2 & -1\\ -1 & 1 \end{array}\right]
\left[\begin{array}{c} 20\\ 10 \end{array}\right]
\\ &
=\left[\begin{array}{cc} 1 & 1\\ 1 & 2 \end{array}\right]
\left[\begin{array}{cc} 1^n & 0 \\ 0 & \left(\dfrac{1}{2}\right)^n \end{array}\right]
\left[\begin{array}{cc} 2 & -1\\ -1 & 1 \end{array}\right]
\left[\begin{array}{c} 20\\ 10 \end{array}\right]
\\ &
=\begin{bmatrix}
2-{\left(\dfrac{1}{2}\right)}^n & {\left(\dfrac{1}{2}\right)}^n-1
\\
2-2\,{\left(\dfrac{1}{2}\right)}^n & 2\,{\left(\dfrac{1}{2}\right)}^n-1
\end{bmatrix}
\left[\begin{array}{c} 20\\ 10 \end{array}\right]
=\begin{bmatrix}
30-10\,{\left(\dfrac{1}{2}\right)}^n
\\
30-20\,{\left(\dfrac{1}{2}\right)}^n\end{bmatrix}.
\end{align*}\]
For a very large \(n\),
\[\begin{align*}
\begin{bmatrix}30\\ 30 \end{bmatrix}.
\end{align*}\]
We can find solutions for various values of \(n\).
\(n\) |
\(0\) |
\(1\) |
\(2\) |
\(3\) |
\(4\) |
\(5\) |
\(\ldots\) |
a very large \(n\) |
\(V_n\) |
\(\begin{bmatrix}20.0\\ 10.0\end{bmatrix}\) |
\(\begin{bmatrix}25.0\\ 20.0\end{bmatrix}\) |
\(\begin{bmatrix}27.5\\ 25.0\end{bmatrix}\) |
\(\begin{bmatrix}28.8\\ 27.5\end{bmatrix}\) |
\(\begin{bmatrix}29.4\\ 28.8\end{bmatrix}\) |
\(\begin{bmatrix}29.7\\ 29.4\end{bmatrix}\) |
\(\ldots\) |
\(\begin{bmatrix}30\\ 30\end{bmatrix}\) |
Refrences
Kuttler, Kenneth. “A First Course in Linear Algebra (Lyryx).” (2018).
Nicholson, W. Keith. “Linear Algebra with Applications (Lyryx).” (2018).


Domain constraints
[Using float variables and constraints]
Functions | |
| void | Gecode::dom (Home home, FloatVar x, FloatVal n) |
| Propagates . | |
| void | Gecode::dom (Home home, const FloatVarArgs &x, FloatVal n) |
| Propagates for all . | |
| void | Gecode::dom (Home home, FloatVar x, FloatNum l, FloatNum m) |
| Propagates . | |
| void | Gecode::dom (Home home, const FloatVarArgs &x, FloatNum l, FloatNum u) |
| Propagates for all . | |
| void | Gecode::dom (Home home, FloatVar x, FloatVal n, Reify r) |
| Post domain consistent propagator for . | |
| void | Gecode::dom (Home home, FloatVar x, FloatNum l, FloatNum u, Reify r) |
| Post domain consistent propagator for . | |
| void | Gecode::dom (Home home, FloatVar x, FloatVar d) |
| Constrain domain of x according to domain of d. | |
| void | Gecode::dom (Home home, const FloatVarArgs &x, const FloatVarArgs &d) |
| Constrain domain of according to domain of for all . |
Function Documentation
| void Gecode::dom | ( | Home | home, | |
| FloatVar | x, | |||
| FloatVal | n | |||
| ) |
Propagates .
| void Gecode::dom | ( | Home | home, | |
| const FloatVarArgs & | x, | |||
| FloatVal | n | |||
| ) |
Propagates for all .
| void Gecode::dom | ( | Home | home, | |
| FloatVar | x, | |||
| FloatNum | min, | |||
| FloatNum | max | |||
| ) |
Propagates .
| void Gecode::dom | ( | Home | home, | |
| const FloatVarArgs & | x, | |||
| FloatNum | min, | |||
| FloatNum | max | |||
| ) |
Propagates for all .
| void Gecode::dom | ( | Home | home, | |
| FloatVar | x, | |||
| FloatVal | n, | |||
| Reify | r | |||
| ) |
Post domain consistent propagator for .
| void Gecode::dom | ( | Home | home, | |
| FloatVar | x, | |||
| FloatNum | min, | |||
| FloatNum | max, | |||
| Reify | r | |||
| ) |
Post domain consistent propagator for .
| void Gecode::dom | ( | Home | home, | |
| FloatVar | x, | |||
| FloatVar | d | |||
| ) |
Constrain domain of x according to domain of d.
| void Gecode::dom | ( | Home | home, | |
| const FloatVarArgs & | x, | |||
| const FloatVarArgs & | d | |||
| ) |
Constrain domain of according to domain of for all .


Usability Testing?
I have talked a lot about the importance of usability in creating a website the last few times. While it is useful to see the strengths and weakness’ of other sites we ultimately want to know how to make our own better. The best method for doing so? Usability Testing. Steve Krug makes a great point that the benefits of this process are fantastically efficient yet surprisingly simple. It only requires a simple script and the site you’re testing to get useful results.
To try this out myself I found a website for a product I’ve been interested in for a while: Leiftech. As a small niche company with a unique product they are still trying to get their business rolling. Over the course of a year their website has changed format 3 times which got me curious, was there something wrong? I set up some basic audio recording software, wrote down a script, and got to work on what I think users might have trouble with.
What Should I test For?
I started out by following Steve Krug’s guide to usability testing in his book “Don’t Make Me Think!”. I would tell my participants that this was a test of the website not them, that my recording was just for me and would not be shared, and that I was looking for honest reactions or opinions. I asked a little about the user’s background to gauge how much they knew about the internet along with their occupation. This was all just to set a baseline for the rest of the test.
What I really wanted to know about Leiftech’s website was if it was working as intended. I figured as a small business the main goal was to get you interested in buying their product. They would also want to make sure that learning about what they offered was clear to hopefully convince people on the fence. As this was their main site they would also want to offer support to existing customers with issues. I turned these goals into the following tasks I would have my users run through:
- “Let’s say you saw an ad for Leiftech and wanted to learn more about what they offered. Explore the site and see if you can identify what they offer and how it works.”
- “You have decided to buy one (for yourself or as a gift) that meets your needs. Go through the process of purchasing one online.”
- “If you already had a board but needed a new battery. How would you buy a new one? What If it was under warranty?”
I also asked my users their opinion on the homepage to see if it got the main idea across.
Expect the Unexpected
I had 3 volunteers for my tests: Dede, a middle aged insurance specialist. Kayla, a young travel advisor. And David, an older satellite engineer. Each of them had used the web for both work and home use but to different ratios; kayla used it more recreationally while Dede used it primarily for work. Their online interests were all varied a fair deal though. Comparing their results made some issues very clear for me.
Let's start with the similarities. All 3 of them thought the home page looked professional and clean. They thought that the site was easy to navigate and intuitive but had some minor issues in some spots. However, the big picture was not very clear.
However, the big picture was not very clear. The photo of the board on the home page gave them the impression that the product was just a normal skateboard. The lack of any sort of explaining text as to what made it different meant that none of them quite understood what was being sold. It was on average about 10 minutes into exploring the site that the participants even realized that the skateboard was electric. This is a huge oversight in my opinion; It should be the #1 priority of the home page to get the main idea across.
They all loved the explainer videos strewn about the website. It cleared up a lot of confusion for them but also raised more questions. The promotional blurbs and text caused more confusion than I expected which counteracted the videos.
The way each user navigated the website was unique. Dede and Kayla preferred the big links in the middle of the home page while David would search for navbars or menus. To find out more about the device in an attempt to answer the first question the all chose a different path. The “Learn More” page was clicked more often than the “How it Works” page. After visiting the Learn more page there was more questions unanswered for everyone.
Trying to buy one was an easy process for everyone. The page was easy to navigate but the pricing was unclear. The financing option even confused one user into thinking that it was a class to sign up for. Given enough time I think everyone would have figured it out.
Getting a replacement battery was also idiosyncratic. The best resource was the footer rather than the navbar which I believe was due to its visual presence on the site. The main issue between everyone was that the support options were difficult to find. The support link was broken, the chat box was actually an email form, and there was no search function to find things quickly.
Results
The main things I found awry in my testing was enlightening. It seems that leiftech isn’t quite sure how to market their product and keep changing their site in attempt to help. I would make a few key tweaks that I think would solve my test users problems.
- I would make the top Navigation bar more prominent visually. Adding in more links to specific questions or unifying the in page links should help keep things together. Also a search bar would help some users significantly.
- A FAQ or overview of what the leiftech board is should be the first thing that users encounter. I got the feeling that most people aren’t going to understand what the page is about. Getting the gist across is absolutely crucial.
- Support for existing users should be more prominent, not buried in the footer. Contact information and similar materials are not easy to find when I had my users look for them.
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Peak performances!
Proverbial hour glass:
Dissonance: can you make your way through these mental gymnastics?
The point of this challenge is to well... challenge your way of seeing the world. Get ready to adopt a whole new perspective!
Begin!