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  2. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    Note that the subtraction identity is not defined if =, since the logarithm of zero is not defined. Also note that, when programming, a {\displaystyle a} and c {\displaystyle c} may have to be switched on the right hand side of the equations if c ≫ a {\displaystyle c\gg a} to avoid losing the "1 +" due to rounding errors.

  3. Algebra of random variables - Wikipedia

    en.wikipedia.org/wiki/Algebra_of_random_variables

    List of convolutions of probability distributions – the probability measure of the sum of independent random variables is the convolution of their probability measures. Law of total expectation; Law of total variance; Law of total covariance; Law of total cumulance; Taylor expansions for the moments of functions of random variables; Delta method

  4. Distributive property - Wikipedia

    en.wikipedia.org/wiki/Distributive_property

    Rule of replacement [ edit ] In standard truth-functional propositional logic, distribution [ 3 ] [ 4 ] in logical proofs uses two valid rules of replacement to expand individual occurrences of certain logical connectives , within some formula , into separate applications of those connectives across subformulas of the given formula.

  5. Subtraction - Wikipedia

    en.wikipedia.org/wiki/Subtraction

    Subtraction also obeys predictable rules concerning related operations, such as addition and multiplication. All of these rules can be proven, starting with the subtraction of integers and generalizing up through the real numbers and beyond. General binary operations that follow these patterns are studied in abstract algebra.

  6. Law of the unconscious statistician - Wikipedia

    en.wikipedia.org/wiki/Law_of_the_unconscious...

    In probability theory and statistics, the law of the unconscious statistician, or LOTUS, is a theorem which expresses the expected value of a function g(X) of a random variable X in terms of g and the probability distribution of X. The form of the law depends on the type of random variable X in question.

  7. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    The difference of two squares can also be illustrated geometrically as the difference of two square areas in a plane.In the diagram, the shaded part represents the difference between the areas of the two squares, i.e. .