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bouchra alami

Probability theory - Wikipedia, the free encyclopedia - 0 views

  • Probability theory is the branch of mathematics concerned with analysis of random phenomena.[1] The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single occurrences or evolve over time in an apparently random fashion. Although an individual coin toss or the roll of a die is a random event, if repeated many times the sequence of random events will exhibit certain statistical patterns, which can be studied and predicted. Two representative mathematical results describing such patterns are the law of large numbers and the central limit theorem. As a mathematical foundation for statistics, probability theory is essential to many human activities that involve quantitative analysis of large sets of data. Methods of probability theory also apply to descriptions of complex systems given only partial knowledge of their state, as in statistical mechanics. A great discovery of twentieth century physics was the probabilistic nature of physical phenomena at atomic scales, described in quantum mechanics.
    • bouchra alami
       
      This is my first try with taging in Diigo. Important to know anyway :)
  • foundation
Matthew Leingang

Set theory - Wikipedia, the free encyclopedia - 0 views

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    Overview of the history, philosophy, and basic operations in set theory. Fortunately, sets are an extremely flexible way to describe mathematical objects, such as the sample space of some experiment. To our disappointment, it turns out to not be the be-all, end-all of mathematics, but that's a subject for a logic course.
Matthew Leingang

Twin - Wikipedia, the free encyclopedia - 0 views

  • The twin birth rate in the United States in 2004, 2005 and 2006 was slightly above 32 twin live births per 1,000 live births
  • The twin birth rate in the United States in 2004, 2005 and 2006 was slightly above 32 twin live births per 1,000 live births[2].
Matthew Leingang

Basketball position - Wikipedia, the free encyclopedia - 0 views

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    explanation of the different positions in basketball. How many ways can a team be created from the same five players?
Matthew Leingang

Bayesian spam filtering - Wikipedia, the free encyclopedia - 0 views

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    How Bayes's Theorem can be used to decide if mail is spam or not.
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    Very cool. Now that we see that mail filter software "adapts" to the user, we can address the problem in class of what would happen if a doctor who deals with prostate issues uses a filter and words such as viagra prop up when the email is not actually spam.
Matthew Leingang

North American Numbering Plan - Wikipedia, the free encyclopedia - 0 views

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    Describing the way phone numbers is North America are coded
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    Area codes used to be much more restrictive. How many area codes were possible before 1995? After 1995?
renyong zhang

Gambler's ruin - Wikipedia, the free encyclopedia - 0 views

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    related to the problem:a gambler with finite wealth, playing a fair game (that is, each bet has expected value zero to both sides) will eventually go broke against an opponent with infinite wealth
Matthew Leingang

Stirling's approximation - Wikipedia, the free encyclopedia - 0 views

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    Far More Than You Ever Wanted To Know about where this formula comes from.
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    Stirling's approximation is for n! in terms of continuous functions.
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    The derivation didn't require any complex analysis after all; thank goodness.
Truman Deeb

Gamma function - Wikipedia, the free encyclopedia - 0 views

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    In case you wanted to know a more precise way to deal with all of the factorials we've been playing around with.
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    If you like Erdos, you should take Algebra with Joel Spencer. He collaborated with Erdos for 40 or more publications I think.
Truman Deeb

Probabilistic method - Wikipedia, the free encyclopedia - 0 views

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    Some interesting problems from one of my favorite mathematicians.
Truman Deeb

Intrinsic random event - Wikipedia, the free encyclopedia - 0 views

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    young einstein vs. old einstein why he changed his mind!
Matthew Leingang

Parimutuel betting - Wikipedia, the free encyclopedia - 0 views

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    Describing the system by which money is won and odds are calculated in horse racing and large-prize lottery games.
Matthew Leingang

Pat's King of Steaks - Wikipedia, the free encyclopedia - 0 views

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    How many ways can you order a cheesesteak if you can get it with or without onions and with provolone cheese, American cheese, or Cheez Whiz?
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    A famous purveyor of the Philadelphia "Cheesesteak" sandwich
Matthew Leingang

Vehicle registration plates of Indiana - Wikipedia, the free encyclopedia - 0 views

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    Unless you're really interested in all the pictures of license plates, scroll down to "County coding" to see the mathematically relevant part. Ask yourself: how many license plates can be generating in the scheme used from 1963 to 2008? How many can be generated in the new scheme?
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    A gallery of Indiana license plates and description of the various coding schemes used.
Samantha Spilkin

Stable marriage problem - Wikipedia, the free encyclopedia - 0 views

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    Interesting...although the solution algorithm seems more suited to prom than marriage...
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    Mathematical marriage counseling? Sounds interesting.
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