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even = x (2:: 2); odd = x (:: 2); is how one would use Fortran to create arrays from the even and odd entries of an array. Another common use of vectorized indices is a filtering operation.
ALGLIB is an open source / commercial numerical analysis library with C++ version; Armadillo is a C++ linear algebra library (matrix and vector maths), aiming towards a good balance between speed and ease of use. [1] It employs template classes, and has optional links to BLAS and LAPACK. The syntax is similar to MATLAB.
BER: variable-length big-endian binary representation (up to 2 2 1024 bits); PER Unaligned: a fixed number of bits if the integer type has a finite range; a variable number of bits otherwise; PER Aligned: a fixed number of bits if the integer type has a finite range and the size of the range is less than 65536; a variable number of octets ...
This can express values in the range ±65,504, with the minimum value above 1 being 1 + 1/1024. Depending on the computer, half-precision can be over an order of magnitude faster than double precision, e.g. 550 PFLOPS for half-precision vs 37 PFLOPS for double precision on one cloud provider.
The range of a double-double remains essentially the same as the double-precision format because the exponent has still 11 bits, [4] significantly lower than the 15-bit exponent of IEEE quadruple precision (a range of 1.8 × 10 308 for double-double versus 1.2 × 10 4932 for binary128).
Format is a function in Common Lisp that can produce formatted text using a format string similar to the print format string.It provides more functionality than print, allowing the user to output numbers in various formats (including, for instance: hex, binary, octal, roman numerals, and English), apply certain format specifiers only under certain conditions, iterate over data structures ...
Keys can be 1, 2, 4, or 16 bytes in length. Presumably in a separate specification document you would agree on a key length for a given application. Sixteen byte keys are usually reserved for use as globally registered unique identifiers , and the Value portion of such a packet usually contains a series of more KLV sets with smaller keys.
If F(x) maps IR^n into IR^(n-1), there is a unique linear interpolant on an (n-1)-dimensional simplex which agrees with the function values at the vertices of the simplex. The second result is: An (n-1)-dimensional simplex can be tested to determine if the unique linear interpolant takes on the value 0 inside the simplex.