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The NAG Library [1] can be accessed from a variety of languages and environments such as C/C++, [2] Fortran, [3] Python, [4] AD, [5] MATLAB, [6] Java [7] and .NET. [8] The main supported systems are currently Windows, Linux and macOS running on x86-64 architectures; 32-bit Windows support is being phased out. Some NAG mathematical optimization ...
The HyperLogLog has three main operations: add to add a new element to the set, count to obtain the cardinality of the set and merge to obtain the union of two sets. Some derived operations can be computed using the inclusion–exclusion principle like the cardinality of the intersection or the cardinality of the difference between two HyperLogLogs combining the merge and count operations.
In computer science, arbitrary-precision arithmetic, also called bignum arithmetic, multiple-precision arithmetic, or sometimes infinite-precision arithmetic, indicates that calculations are performed on numbers whose digits of precision are potentially limited only by the available memory of the host system.
Programming languages that support arbitrary precision computations, either built-in, or in the standard library of the language: Ada: the upcoming Ada 202x revision adds the Ada.Numerics.Big_Numbers.Big_Integers and Ada.Numerics.Big_Numbers.Big_Reals packages to the standard library, providing arbitrary precision integers and real numbers.
In computer science, lg * is often used to indicate the binary iterated logarithm, which iterates the binary logarithm (with base ) instead of the natural logarithm (with base e). Mathematically, the iterated logarithm is well defined for any base greater than e 1 / e ≈ 1.444667 {\displaystyle e^{1/e}\approx 1.444667} , not only for base 2 ...
SlickEdit, previously known as Visual SlickEdit, [1] is a cross-platform commercial source code editor, text editor, and Integrated Development Environment developed by SlickEdit, Inc. SlickEdit has integrated debuggers for GNU C/C++, Java, WinDbg, Clang C/C++ LLDB, Groovy, Google Go, Python, Perl, Ruby, Scala, PHP, Xcode, and Android JVM/NDK.
One part of this machine called an "endless spindle" allowed the mechanical expression of the relation = (+), [14] with the aim of extracting the logarithm of a sum as a sum of logarithms. A LNS has been used in the Gravity Pipe ( GRAPE-5 ) special-purpose supercomputer [ 15 ] that won the Gordon Bell Prize in 1999.
Dedicated to the discrete logarithm in (/) where is a prime, index calculus leads to a family of algorithms adapted to finite fields and to some families of elliptic curves. The algorithm collects relations among the discrete logarithms of small primes, computes them by a linear algebra procedure and finally expresses the desired discrete ...