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In number theory, a narcissistic number [1] [2] (also known as a pluperfect digital invariant (PPDI), [3] an Armstrong number [4] (after Michael F. Armstrong) [5] or a plus perfect number) [6] in a given number base is a number that is the sum of its own digits each raised to the power of the number of digits.
In this example propositional logic assertions are checked using functions to represent the propositions a and b. The following Z3 script checks to see if a ∧ b ¯ ≡ a ¯ ∨ b ¯ {\displaystyle {\overline {a\land b}}\equiv {\overline {a}}\lor {\overline {b}}} :
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 ...
ACL2 – a programming language, a first-order logical theory, and a theorem prover (with both interactive and automatic modes) in the Boyer–Moore tradition.; Coq – Allows the expression of mathematical assertions, mechanically checks proofs of these assertions, helps to find formal proofs, and extracts a certified program from the constructive proof of its formal specification.
Translation validation can be used even with a compiler that sometimes generates incorrect code, as long as this incorrect does not manifest itself for a given program. Depending on the input program the translation validation can fail (because the generated code is wrong or the translation validation technique is too weak to show correctness).
An interface to the Python language is available through the PyArmadillo package, [4] which facilitates prototyping of algorithms in Python followed by relatively straightforward conversion to C++. Armadillo is a core dependency of the mlpack machine learning library [ 5 ] and the ensmallen C++ library for numerical optimization.
The author of “The Seven Husbands of Evelyn Hugo” returns with an epic love story set during the 1980s Space Shuttle program. In “Atmosphere,” Joan Goodwin joins a team of NASA’s first ...
For example: automobile car This template should not be used to tag redirects that are taxonomic synonyms . For taxonomic synonyms use {{ R from alternative scientific name }} instead .