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also known for his work on properties of the integer partition function and the monster module.
is remembered for pointing out a conjugacy in integer partition diagrams, which are accordingly cal
e the world's leading expert in the theory of integer partitions.
re are several ways to map hexagonal tiles to integer pixel coordinates.
s placing the vertices of a graph at distinct integer points along the x-axis so that the length of
undary of the region, viewed as a sequence of integer points in the (x,y) plane, lifts uniquely (on
t squares or unit cubes, and the vertices are integer points.
n number, as is the Mahler measure of a monic integer polynomial.
s, the linear programming relaxation of a 0-1 integer program is the problem that arises by replaci
Integer programming is NP-hard.
SCIP (optimization software) is a mixed integer programming solver and a framework for Branch
e maximum width of a level or rely on complex integer programming procedures.
He has worked on algorithms for integer programming and the geometry of numbers, rand
Mixed integer programming problems are solved using branch
MINTO is an integer programming solver which uses branch and boun
ems, quadratic programming problems and mixed integer programming problems (both linear and quadrat
An integer programming problem is a mathematical optimiz
nd constraints are translated to linear/mixed integer programming problems, which are then solved u
e transforms an NP-hard optimization problem ( integer programming) into a related problem that is s
Gurobi performance solving mixed integer programs is comparable to that of established
the fastest non-commercial solvers for mixed integer programs.
(mixed integer) quadratic problems
Integer quantities, defined either in a class definit
We see that p times the integer quantity in parentheses equals -a0qn, so p di
af F over projective space Pn is the smallest integer r such that it is r-regular, meaning that
for every integer r ≥ 2 and every real number x ≥ −1 with x ≠ 0
for every integer r ≥ 0 and every real number x ≥ −1.
generating intervals may be normalized to the integer range [1..2n], the representation is indeed o
g with unique labels, commonly taken from the integer range 1,...,n, where n is the number of the v
For integer ratios of sampling rate, one may simplify by
consists of 7 node types, 4 leaf node types ( integer, real, text and symbol) and 3 internal node t
s the following first-class data types: atom, integer, real, string, boolean, tuple, set.
leftmost bit (usually the sign bit in signed integer representations) is replicated to fill in all
, non-orientable closed surface is a positive integer representing the number of cross-caps attache
In the case of the PC, the integer represents the address in the memory unit tha
Here, n is an integer, resulting from the requirement that ψ vanish
0 is a positive constant, and d is the least integer satisfying
s a Fibonacci number that is prime, a type of integer sequence prime.
nd Male sequences are an example of a pair of integer sequences defined in a mutually recursive man
One can consider Fibonacci integer sequences and take them modulo n, or put diff
research interests include triangle centers, integer sequences, and hymnology.
quence A000111 on the On-Line Encyclopedia of Integer Sequences.
ied as A002943 in the On-Line Encyclopedia of Integer Sequences.
ied as A033996 in the On-Line Encyclopedia of Integer Sequences.
quence A057500 of the On-Line Encyclopedia of Integer Sequences.
La Divina Caricature (Green Integer Series, Sun and Moon Press)
Those integer shifts should at least form a frame for the s
raically or even topologically closed) of the integer shifts of one or a finite number of generatin
the edges between the nodes are labeled by an integer showing the angle between the mirrors (π/n ra
Unlike the binary integer significand version, where the exponent chang
Its name comes from the words fractal and integer, since the first versions of it computed frac
provides various integer sizes, as well as single and double precision
We may assume that n is the smallest integer so that n√2 is an integer.
ables set to 0 or 1, test it against the best integer solution found so far and keep whichever of t
Integer solutions
ectrons and holes are both fermions with half integer spin.
For any positive integer t, let tP be the t-fold dilation of P, and le
124,000 is a positive integer that has significance in Islamic theology.
flip-flop), with one flip-flop per bit in the integer that is to be stored (32 for a 32-bit CPU, fo
mathematics, a congruent number is a positive integer that is the area of a right triangle with thr
athematics, a Smarandache-Wellin number is an integer that in a given base is the concatenation of
eir defining numbers is replaced by a smaller integer the resulting pattern is either Euclidean or
When t is an even positive integer, the inequality holds for all real numbers x,
If z ≠ 0 and n is any integer then
In particular if n is a non-negative integer then
If n is an integer, then x is the nth hexagonal number.
If n is not an integer, then x is not hexagonal.
omplex numbers βk and αk, and n is a positive integer, then
possible for the component under test, for an integer this is 1, but the input was a decimal with 2
amount one "turns" at the vertices can be any integer times 360°, e.g.
toFind is the integer to search for,
Arabic Numeral (Any Integer) to H.F. (1960), piano(s) or gong(s) or ensem
le to define a height function associating an integer to the nodes of the grid.
for all n ≥ 0, the number Fn is the closest integer to
9 ISO C standard (C99), size_t is an unsigned integer type of at least 16 bits .
p counters in Microsoft Visual Basic where an integer type is also available.
ten in a format and size compatible with some integer type.
e an unsigned int, but conversions from other integer types or pointers always constrained to 0 and
unsigned and signed 8-bit integer types: CHAR, BYTE, SHORTINT
(32 KB instruction and 32 KB data), a second integer unit, an enhanced floating point unit, and hi
In his mind, he says, each positive integer up to 10,000 has its own unique shape, colour
computer science, a Morton number is a single integer value constructed by interleaving the bits or
ric character in the string and the converted integer value is returned.
We compute one integer value α1(k), we compute, using the fast algor
This gives an expression for the integer value of y (where , our first approximation f
outside of the context of the enum (where any integer value is allowed), and values other than the
ng "IT" and a Percent-Disk-Free field with an integer value less than or equal to 10.
Zero is the lowest unsigned integer value, one of the most fundamental types in p
ered pairs (key, address) where the key is an integer value.
ning the character representation of a signed integer value.
le, if an input field is meant to accept only integer values 0 - 100, entering the values -1, 0, 10
Thus, for instance, it cannot contain some integer values and some string values.
inuously-increasing fractional number, taking integer values at midnight local time.
Here mj are quantum integer values ranging from -j to j, with j as the ei
MinInt64 (Returns the minimum of two 64 bit integer values)
MinInt (Returns the minimum of two integer values)
that creates global variables with sequential integer values, and recently MetaCard's familiar repe
d for , we first note that since X takes only integer values, .
ilar format to have compact representation of integer values.
e actual parameters that are passed in are an integer variable and an array that is indexed by that
As stated in the Oak specification, integer variable types did not affect their storage a
Ways to mark integer variables are also beyond the scope of this a
Integer variables can be assigned using decimal (posi
, but the requirement that every loop have an integer variant removes the expressive power of unbou
ion that cannot be computed in a loop with an integer variant.
transmitter is identical, or is one (or other integer) wavelength apart.
offset is a long integer which specifies the number of bytes from orig
greater range of ±122880 than twos complement integer with a range −128 to +127.
Incrementing an integer would not be a sequence point because it is n
The arithmetic weight of an integer x in base r is defined by
The vertices of the graph are given integer y-coordinates in such a way that, for each ed
                                                                                                   


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