Recent content by Enuma_Elish

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    PF Admin Greg & Warren: Check EnumaElish Account Status

    Greg, Warren: When I log in as EnumaElish and try to do anything that I can from this temporary account (post, change account details, etc.) I get the following error message: Can you guys please verify that my EnumaElish account is abled/active, and can post? Thank you.
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    Impossible Circle? Can Lines Form a Circle?

    If we define line segments not to include points, wouldn't that create a problem with defining the zero vector, for example?
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    Believing in supernatural in terms of game theory

    Also, I am unclear as to how this is related to game theory, unless "Nature" is posited as playing against "Man." However, in game theory "Nature" is typically assumed to be a probabilistic device, not a rational decisionmaker. That leaves "Man" trying to make a rational decision in the face...
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    Impossible Circle? Can Lines Form a Circle?

    By "line," the OP clearly meant "line segment" and later posts adopted this convention. So, I have a simple question: what is the length of the shortest line segment that is not a point?
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    Believing in supernatural in terms of game theory

    1. Are Skinner's pigeons new relative to/different from Pavlov's dog? 2. Doesn't the logic in the OP suggest that once the humans have reached the top of the food chain, they would have let go of their supernatural beliefs, paranoias and phobias? 3. The study may be committing a type III...
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    Help Understanding something basic in probability.

    I can think of: 1. division of probabilities as real numbers. This is associated with but not confined to conditional probabilities and Bayesian analysis, as noted above. 2. ratio of two random variables. For example you may be asked to derive the distribution of A/B, where each of A and B...
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    Impossible Circle? Can Lines Form a Circle?

    What I had in mind was a limit question, but I guess it does boil down to a line of zero length. I always thought: Lim(Line) = Point as length ---> 0. Similar to: Lim([a,a+e]) = a as e ---> 0. I know infinitesimal is not the right word, but I did not have a better alternative word. The OP...
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    What is the difference between 'so that' and 'such that' in mathematical jargon?

    "Define z so that Re[z]>0": correct "Define z such that Re[z]>0": incorrect "Suppose there exists a complex number z such that Re[z]>0": correct "Suppose there exists a complex number z so that Re[z]>0": incorrect
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    Amazing 16-Year-Old Finds Bernoulli Numbers Relationship

    "Mathematics holds a vital place in a wide variety of fields, including the sciences and finance. Number calculations have proved the viability of countless scientific phenomenon. Money lenders generally need statistical data to evaluate a consumer’s financial situation before granting them a...
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    Help with Shapiro-Wilk Test interpretation.

    Since CI = 95% implies a critical "alpha" value of 5%, the null hypothesis of normality cannot be rejected for either set (at the 5% level of statistical significance).
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    Order Statistics PDF and CDF

    Yes; that's a general definition.
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    Is there an optimal upper limit for power in statistical testing?

    "Although there are no formal standards for power, most researchers who assess the power of their tests use 0.80 as a standard for adequacy. " wikipedia wikia, The Psychology Wiki "It is customary to set power at greater than or equal to 0.80, although some experts advocate 0.90 in clinical...
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    What is the difference between E(Y|X) and E(Y|X=x) in linear regression models?

    In their Econometric Foundations, Mittelhammer, Judge & Miller hold "E[Y] = E[Y|X] whenever X = x," (i.e. always). [Not an exact quotation.]
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