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Lord of the Rules
  • > binom.test(11,n=24, alternative = "two.sided")
    
    	Exact binomial test
    
    data:  11 and 24
    number of successes = 11, number of trials = 24, p-value = 0.8388
    alternative hypothesis: true probability of success is not equal to 0.5
    95 percent confidence interval:
     0.2555302 0.6717919
    sample estimates:
    probability of success 
                 0.4583333 
    

    Probably not. Or at least we can't conclude that from the data. ¯\_(ツ)_/¯

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    Zero to hero
  • I have yet to meet a single logician, american or otherwise, who would use the definition without 0.

    That said, it seems to depend on the field. I think I've had this discussion with a friend working in analysis.

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    Explain yourselves, comp sci.
  • But the vector space of (all) real functions is a completely different beast from the space of computable functions on finite-precision numbers. If you restrict the equality of these functions to their extension,

    defined as f = g iff forall x\in R: f(x)=g(x),

    then that vector space appears to be not only finite dimensional, but in fact finite. Otherwise you probably get a countably infinite dimensional vector space indexed by lambda terms (or whatever formalism you prefer.) But nothing like the space which contains vectors like

    F_{x_0}(x) := (1 if x = x_0; 0 otherwise)

    where x_0 is uncomputable.

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    Explain yourselves, comp sci.
  • Functions from the reals to the reals are an example of a vector space with elements which can not be represented as a list of numbers.

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    Good luck!
  • Depends on the kind of blur. Some kinds can indeed be almost perfectly removed if you know the used blurring function, others are destructive. But, yes, don't take that chance. Always delete/paint over sensitive information.

    Source: we had to do just that in a course I took a long time ago.

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    STEM
  • It may have nothing to do with categorization, but has everything to do with categorification which is much more interresting anyway.

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    Rain over Vierwaldstättersee [OC]
  • Mir hei zum glück üses jährleche alpweekend vo letscht Wuche no chönne uf Disi schiebe. :)

    Di letschte drü Täg isch ja eigentlech sehr guet gsi, und ih dene paar Stund wo gwitteret hett, heimer zumindescht äh sehr schöni Ussicht gha.

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