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  2. Rijndael S-box - Wikipedia

    en.wikipedia.org/wiki/Rijndael_S-box

    The Rijndael S-box was specifically designed to be resistant to linear and differential cryptanalysis. This was done by minimizing the correlation between linear transformations of input/output bits, and at the same time minimizing the difference propagation probability. The Rijndael S-box can be replaced in the Rijndael cipher, [1] which ...

  3. Trigonometric substitution - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_substitution

    Trigonometric substitution. In mathematics, a trigonometric substitution replaces a trigonometric function for another expression. In calculus, trigonometric substitutions are a technique for evaluating integrals. In this case, an expression involving a radical function is replaced with a trigonometric one.

  4. Change of variables - Wikipedia

    en.wikipedia.org/wiki/Change_of_variables

    Calculus. In mathematics, a change of variables is a basic technique used to simplify problems in which the original variables are replaced with functions of other variables. The intent is that when expressed in new variables, the problem may become simpler, or equivalent to a better understood problem. Change of variables is an operation that ...

  5. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression. These rules are formalized with a ranking of the operations. The rank of an operation is called its precedence, and an operation with a ...

  6. Slide rule - Wikipedia

    en.wikipedia.org/wiki/Slide_rule

    Typical ten-inch (25 cm) student slide rule (Pickett N902-T simplex trig) A slide rule is a hand -operated mechanical calculator consisting of slidable rulers for evaluating mathematical operations such as multiplication, division, exponents, roots, logarithms, and trigonometry.

  7. Substitution (logic) - Wikipedia

    en.wikipedia.org/wiki/Substitution_(logic)

    Substitution (logic) A substitution is a syntactic transformation on formal expressions. To apply a substitution to an expression means to consistently replace its variable, or placeholder, symbols with other expressions. The resulting expression is called a substitution instance, or instance for short, of the original expression.

  8. Integration by substitution - Wikipedia

    en.wikipedia.org/wiki/Integration_by_substitution

    Calculus. In calculus, integration by substitution, also known as u-substitution, reverse chain rule or change of variables, [1] is a method for evaluating integrals and antiderivatives. It is the counterpart to the chain rule for differentiation, and can loosely be thought of as using the chain rule "backwards."

  9. Substitution–permutation network - Wikipedia

    en.wikipedia.org/wiki/Substitution–permutation...

    Substitution–permutation network. A sketch of a substitution–permutation network with 3 rounds, encrypting a plaintext block of 16 bits into a ciphertext block of 16 bits. The S-boxes are the Si, the P-boxes are the same P, and the round keys are the Ki. In cryptography, an SP-network, or substitution–permutation network (SPN), is a ...