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Hermes Project: C++/Python library for rapid prototyping of space- and space-time adaptive hp-FEM solvers. IML++ is a C++ library for solving linear systems of equations, capable of dealing with dense, sparse, and distributed matrices. IT++ is a C++ library for linear algebra (matrices and vectors), signal processing and communications ...
List of notation used in Principia Mathematica; List of mathematical symbols; Logic alphabet, a suggested set of logical symbols; Logic gate § Symbols; Logical connective; Mathematical operators and symbols in Unicode; Non-logical symbol; Polish notation; Truth function; Truth table; Wikipedia:WikiProject Logic/Standards for notation
For computation, interval arithmetic is most often used, where all results are represented by intervals. Validated numerics were used by Warwick Tucker in order to solve the 14th of Smale's problems , [ 1 ] and today it is recognized as a powerful tool for the study of dynamical systems .
While the Implication gate isn't functionally complete by itself, it is in conjunction with the constant 0 source. This can be shown via the following: := = =. Thus as the implication gate with the addition of the constant 0 source can create both the NOT gate and the OR gate, it can create the NOR gate, which is a universal gate.
The main objective of interval arithmetic is to provide a simple way of calculating upper and lower bounds of a function's range in one or more variables. These endpoints are not necessarily the true supremum or infimum of a range since the precise calculation of those values can be difficult or impossible; the bounds only need to contain the function's range as a subset.
This characterization is used to specify intervals by mean of interval notation, which is described below. An open interval does not include any endpoint, and is indicated with parentheses. [2] For example, (,) = {< <} is the interval of all real numbers greater than 0 and less than 1.
The gate can be represented with the plus sign (+) because it can be used for logical addition. [1] Equivalently, an OR gate finds the maximum between two binary digits, just as the AND gate finds the minimum. [2] Together with the AND gate and the NOT gate, the OR gate is one of three basic logic gates from which any Boolean circuit may
In certain computer programming languages, the Elvis operator, often written ?:, is a binary operator that evaluates its first operand and returns it if its value is logically true (according to a language-dependent convention, in other words, a truthy value), and otherwise evaluates and returns its second operand.