University students – 1989 MATH battle over function degrees of freedom

RD-blog-number-2571 by Herb Zinser

University students –

1989 MATH battle over

function degrees of freedom

What are degrees of freedom in statistical mathematics. explain in …

 Science & Mathematics › Mathematics

6 answers – Aug 3, 2006

Top answer: The degrees of freedom are the number of extra numbers you need to specify your data completely, after you have provided a summary of your data.

degree of freedom (mathematics and statistics) — Britannica Online …

www.britannica.com/EBchecked/topic/218512/degree-of-freedom

In mathematics, any of the number of independent quantities necessary to express the values of all the variable properties of a system.

 A system composed of a ………..

Nature consists of many components. College textbooks describe many of these facets of existence –> biology, physics, chemistry, math, geology, biochemistry,etc.

If Nature has a problem in one of these areas …it may use humanoids to express that  conflict.

Many authors expressed that concept …of human messenger vehicles on EARTH LAB …… EARTH Theater  …EARTH equations Theater of WAR.

2 major authors  clearly explained  the situation.

Around year 1600

All the world’s a stage – Shakespeare Quotes

www.enotes.com › Literature › Shakespeare › Shakespeare Quotes

Shakespeare Quotes – All the World’s a Stage.  And all the men and women merely players; They have their exits and their entrances Shakespeare wrote As You Like It.

Around year 1865

Who Stole the Tarts? | Alice’s Adventures in Wonderland, by Lewis …

sabian.org/alice_in_wonderland11.php

Alice’s Adventures in Wonderland, by Lewis Carroll: Who Stole the Tarts?  Here one of the guineapigs cheered, and was immediately suppressed by the 

Here we look at the math and bio-math dimensions   of Nature and the EARTH geography  area of a major math battle …..the 1989 battle of Tiananmen Square, China.

Thus we have in 1989…….the Shakespeare performance in China

year 1600 —> All the World’s a Stage.  And all the men and women merely players; They have their exits and their entrances

year 1989  —> All the World’s a Stage at Tiananmen Square .  And all the men and  and women merely players (Chinese university students); They have their exits and their entrances (the entrance of the  Chinese ARMY  on  JUNE 4 ,1989 into the Tiananmen Square  WORLD STAGE).

Humans are symbolic processors. We process language symbols.  In the geography country of China, Asia that would comprise the Chinese language,  arithmetic, geometry, philosophy, history, etc.

Humans are subsets embedded within the many dimensions  of Nature and Nature’s multi-faceted FORMATS of expression.

Tiananmen   Square  

www.infoplease.com/spot/tiananmen.htmlA massive demonstration for democratic reform, begun on Tiananmen  Square by Chinese students in  April, 1989 ………

Let’s try to understand this EVENT …..in the context of  our existence on EARTH’s geography surface that  can be explained in terms of   mathematical-physics space/time  AND  our human interaction with math and statistics.

Hotelling’s

T-squared distribution –

en.wikipedia.org/wiki/

Hotelling’s_T-squared_distribution

In statistics Hotelling’s T-squared distribution is  important because it arises as the distribution of a  set of statistics which

are natural generalisations of the .

The distribution – Hotelling’s T-squared statistic – Hotelling’s two-sample T …

Let’s  look at the data sample of Nature’s.  Nature’s  social engineering  experiment was  comprised of students and other groups in China, Asia in  year 1989.

T-squared

T-squared

T-squa   red

Tiananmen  square red

Beijing Hotel – Wikipedia, the free  encyclopedia

en.wikipedia.org/wiki/Beijing_Hotel

The Raffles Beijing Hotel,

occupies two of the former blocks of the Beijing Hotel  Many foreign journalists were based in the hotel during the spring of 1989.

The Raffles Beijing Hotel,

The Raffles Beijing Hotel,

The Raffles / probability Hotel

Probability of winning a prize in a raffle – Mathematics Stack …

The correct probability of winning at least one ticket is around 0.2242. Assuming exactly one prize is given, your answer of 1160 is the probability of winning is correct. That is, you go home empty-handed with probability 159160. However, 40 tickets are chosen for prizes, not just one.

How to calculate raffle ODDS

with Pier Odd Oddone of FermiLAB – Quora

www.quora.com › How-can-I-calculate-raffle-odds

Jan 14, 2017 – If you mean raffle tickets then you need to know how many are sold & how many you buy to work out the odds.

If 100 tickets are sold & you buy one, you have 1 in 1 hundred chance of winning. If you buy 10 tickets you increase your chances of winning to 1 in 10, if you buy 50 tickets you have 1 in 2 chance etc etc etc.

The Raffles Beijing Hotel,

The Raffles Proability Hotel,

The Raffles ….. ability Hotel,

With University of Wisconsin Madison

 …….  Chance of Chancellor John Wiley and John Wiley & Son math book publisher

…… Chance of Chancellor REBECCA Blank existing in the Bose-Einstein-Statistics
…the large  Carl Jung human data record pool that was condensed into  smaller
Bose-Einstein-Condensate
(BEC) of human spokesperson / expression agents who refuse to use communications  proper atomic protocol

The Raffles Beijing Hotel,

The Raffles Beijing Hotel,

The Raffles Beijing Hotel,

The Raffles Proability Hotel,

The Raffles ….. ability Hotel,

We see that  the EARTH LAB identifiers  HOTEL  + humanoid earthLING groups  +  Tiananmen Square  provides an ideal  geography location with proper noun identifiers for Nature.            Nature sees the symbolic/conceptual  data stream  —->  HOTEL  + LING + Tiananmen Square –>  thus giving  Nature the ideal pointer to   HOTELLING’s T-square  statistical  TEST setting.

The event ….. had various issues and  people involved.

In April 1989, triggered by the death of deposed Communist Party General
Secretary   Hu Yaobang …

human agent for EARTH systems
..representing  null hypothesis H   u    

 equation below  ,

In April 1989, triggered by the death of deposed Communist Party General
Secretary Hu Yaobang,

Codes … array H=Hypothesis decision table

With Secretary  H
…  secret array H


 

In April 1989, triggered by the death of deposed Communist Party General Secretary Hu

Yaobang, a liberal reformer, mass gatherings

 and protests took  place in and around Tiananmen Square.[5]

 At its   height, some half a million protesters assembled there. The  demonstrations,  consisting of local working residents as well as  students,[6] called  for government accountability,

freedom of the press (Boyle’s Law of Pressure representative Susan Boyle),

freedom of  speech, and the   restoration of workers’ control over industry.[7]   

Peaceful protests also occurred in other cities, such as Shanghai and Wuhan,

while looting and rioting broke out in
Euler’s number e =2.718 …..
… earth geography math region 
Xi‘an ….

Function equations of iX


and chemistry textbook region Changsha.[8]

The movement lasted for about seven weeks. The government   initially   attempted to appease the protesters through concessions, but a         student-led hunger strike galvanized support for the        demonstrators around the country.
Ultimately, Deng Xiaoping 

…… COMPUTER  EARTH atomic communication systems …..
Internet BLOG 
Ping systems of

Sartre existentialism  

and other party elders resolved to         use force to suppress the movement.[9]

Party   authorities declared   martial   law on 20 May.

Picture

Thus we see the concepts that led up to the JUNE Fourth incident.   Nature’s social engineering INTELLECT and it’s bio-math tolerance ellipse reached some breaking  point …and the Chinese ARMY was called in on JUNE, 1989.

The Tiananmen Square protests of 1989, also known as the June Fourth

Incident in Chinese,[1] were   popular demonstrations crushed by China’s army on 4 June 1989,  when China’s

leaders ordered the army to force the protesters out of Tiananmen Square in Beijing. On their way to the Square, soldiers   killed protesters in unknown numbers, and the crackdown became known as the

Tiananmen Square Massacre or the June 4 Massacre

Picture

Tiananmen Square massacre   takes place — History.com This Day  

www.history.tiananmensquare-massacre-takes-place

On June 41989,

however, Chinese troops and security police stormed through Tiananmen

Square, firing indiscriminately into the crowds of protesters. Turmoil 

BBC   ON THIS DAY | June 4 | 1989:

Massacre in Tiananmen  Square 

news.bbc.co.uk/on/june/4/…/2496277.stm1989:

Massacre in Tiananmen

Square. Several hundred civilians have been shot dead by the Chinese army

during a bloody military operation to crush a …

We have the empirical data of the bio-math  EVENT,  that provides CLUES about the Earth and its cities and populations …..as elements of sample space.  Thus, we see the statistical  TESTING done by NATURE as it reviews society quality control.      

This concept is used  in the  manufacturing of widgets  on a production line…say 10,000 widgets a day.  For every batch of 1,000 widgets…. a sample of  20 widgets is examined for quality control ……. and then  if ERRORS are detetcted …. decisions are made whether to accept or reject the batch of 1000 widgets.

Nature’s bio-chemistry engineers and language engineers manufactured the human,  the Central Nervous System symbolic processor, and the foundations of thought and logic..   Nature is very inetrested in the quality control.  Thus Tiananmen Square is one example of Nature’s TEST.

Let’s summarize the MATH CLUES and their relationship to the 1989 situation.

CLUE —> EARTH geography  location LINK to symbolic life……math  equation identifier NOUNS

EarthLINGS —> ling’s Tsquared distribution –

Beijing Raffle HOTEL  —> Raffle /probability  Hotel    Tsquared distribution –  Wikipedia, 

Tiananmen Sqaure —> Hotelling’s Tsquared distribution –

 

en.wikipedia.org/wiki/Hotelling’s_Tsquared_distribution

en.i/

Beijing Hotelling’s_Tiananmensquared_distribution

Beijing Hotelling’s_Tiananmen——-red_blood  distribution on June 4,1989

 

 en.wik

Hotelling’s_Tsquared_distribution

In statistics Hotelling’s Tsquared distribution is   important because it arises as the distribution of a set of statistics which are   natural generalisations of the 

The distribution – Hotelling’s T-squared statistic – Hotelling’s two-sample T …

CLUE —> key word student …….. their involvement in the TEST

6.5.4.3. Hotelling’s <i>T</i>  squared 

www.itl.nist.gov/div898/handbook/pmc/section5/pmc543.htmHotelling’s T squaredHotelling’s T2

distribution, A multivariate method that is the multivariate

counterpart of Student’s-t and which also forms the basis for certain

CLUE —>  Chi-square translates to …maps to …China Tiananmen Square

Two-Sample Hotelling’s  TSquare 

sites.stat.psu.edu/~ajw13/stat505/fa06/11…/01_2sampHotel.htmlNow we are ready to define

the Two-sample Hotelling’s   T-Square test statistic.  this test statistic will be   approximately

 chi-square distributed with p degrees of

CLUE—-> Two -sample   …… 2 groups …students VS government

Two-Sample Hotelling’s TSquare 

sites.stat.psu.edu/~ajw13/stat505/fa06/11…/01_2sampHotel.htmlNow we are ready to define the Two-sample Hotelling’s  T-Square test statistic

CLUE–> mean –> English word can have additional definitions ..as = mean / nasty / cruel

 

Hotelling’s  T-Square  

www2.statistics.com/

Hotelling’s Tsquare is a statistic for a

multivariate test of differences between the mean values of

two groups. The null hypothesis is that centroid s don’t  differ 

CLUE -> Centroid –> applied math –> Central Communist Party of China

uncc.edu/cpflower/

Hotelling’s TSquare is the most common,

traditional test where there are two … The T-Square result   will still have the same F value, degrees of freedom, and …   F-test shows the centroid (vector) of means of the   dependent variables is not the …

Thus we see an interesting puzzle about our relationship with Nature’s mathematics and statistics dimensions.

Below, a display of a  IRON TANK  with a vector of means …nasty artillary cannon  ……messages for  THINK TANK

Picture

degree of freedom (mathematics and statistics) — Britannica Online …

degree of freedom (mathematics and statistics)

www.britannica.com/degree-of-freedom

In mathematics, any of the number of independent quantities necessary to express the values of all the variable properties of a system.

 A system composed of a ………..

Darwinian selection of  of the  Hotelling’s  T-square geography location and

Darwinian selection of human groups  FOR the  display of EARTH / Nature bio-math influences and geo-math political  powers.

—> degree of freedom ( WORLD symbolic life of math / statistics)  THEATER performance needed the ideal human actors and math script

……..FOR Sakespeare bio-math-fumction  perfomance —> degree of freedom

Students studying for university degree  and ( shout / fight )  for   (math degrees of)  freedom