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1 0 # * " ( %3 " !Moment Generating Functions The moment generating function of the random variable X, denoted M X (t), is defined for all real values of t by, !!The parameter is the mean or expectation of the distribution (and also its median and mode), while the parameter is its standard deviation The variance of the distribution is A random variable with a Gaussian distribution is said to be normally distributed, and is called a normal deviate Normal distributions are important in statistics and are often used in the natural and social sciences
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TXy"X Aj fæ-Truth Value Testing¶ Any object can be tested for truth value, for use in an if or while condition or as operand of the Boolean operations below By default, an object is considered true unless its class defines either a __bool__() method that returns False or a __len__() method that returns zero, when called with the object 1 Here are most of the builtin objects considered falseç F J T @ Î s 1LQWHQGR &R /WG $ { 1LQWHQGR 6ZLWFK y E u ç U r M n j d ç z I y Ù ½ ¢ Æ é Ê b q E d ^ s W r
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Top Ten Summation Formulas Name Summation formula Constraints 1 Binomial theorem (xy) n= k=0 n k!Machine Learning 2 Binary Classification Srihari •Single target variable twhere t=1denotes C 1and t=0denotes C 2 •Consider network with single output whose activation function is logistic sigmoidA j ܂ǂ ƃR ̂R ̔ԑg W ܂ X y V ԑg { I Q ԑg Əo ҂́A u y Ƃ N v N ƁI u ܂ Ȃ f o v A ̂ 傳 E R {
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4 * # ' / 1 ' 4 , # , " , ' 6 # / , " < 9 ?VariationalBayesianWeightedComplexNetworkReconstruction y 2 c 0 d 0 a !(−),where f (n) (a) denotes the n th derivative of f evaluated at the point a
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