Post date: May 23, 2020 6:59:08 PM
RD-blog-number-2571 by Herb Zinser
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.
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
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
sabian.org/alice_in_wonderland11.php
Alice's Adventures in Wonderland, by Lewis Carroll: Who Stole the Tarts? ... Here one of the guinea-pigs 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.
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
human agent for EARTH systems
..representing null hypothesis H u
equation below ,
In April 1989, triggered by the death of deposed Communist Party General
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
… earth geography math region Xi'an ….
Function equations of iX
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.
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
Tiananmen Square massacre takes place — History.com This Day ...
www.history.tiananmen-square-massacre-takes-place
On June 4, 1989,
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 T-squared distribution -
Beijing Raffle HOTEL ---> Raffle /probability Hotel T-squared distribution - Wikipedia,
Tiananmen Sqaure ---> Hotelling's T-squared distribution -
en.wikipedia.org/wiki/Hotelling's_T-squared_distribution
en.i/
Beijing Hotelling's_Tiananmen-squared_distribution
Beijing Hotelling's_Tiananmen-------red_blood distribution on June 4,1989
en.wik
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 ...
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 squared. Hotelling'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 T-Square
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 T-Square
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 T-square 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 T-Square 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
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.