In mathematics, binary splitting is a technique for speeding up numerical evaluation of many types of series with rational terms. In particular, it can...

optimization technique used for the world record computations is called binary splitting. A factor of 1 / 640320 3 / 2 {\textstyle 1/{640320^{3/2}}} can be...

-\log _{2}p_{i}\rceil } . One common way of choosing the codewords uses the binary expansion of the cumulative probabilities. This method was proposed in Shannon's...

asteroids orbiting each other Binary fission, the splitting of a single-celled organism into two daughter cells Binary phase, a chemical compound containing...

Splitting, also called binary thinking, black-and-white thinking, all-or-nothing thinking, or thinking in extremes, is the failure in a person's thinking...

Crandall, R.; Pomerance, C. (2005). "Algorithm 9.4.7 (Stehlé-Zimmerman binary-recursive-gcd)". Prime Numbers – A Computational Perspective (2nd ed.)....

produces the nth partial sum of the series above. This method uses binary splitting to compute e with fewer single-digit arithmetic operations and thus...

introduction of the generalised binary-splitting algorithm. The generalised binary-splitting algorithm works by performing a binary search on groups that test...

A binary heap is a heap data structure that takes the form of a binary tree. Binary heaps are a common way of implementing priority queues.: 162–163 ...

populations, or species split into discrete parts. The fission may be binary fission, in which a single organism produces two parts, or multiple fission...

circumstances), and all three rules are affected by center-squeeze and vote splitting. Majority-rule (or Condorcet) methods are only rarely affected by spoilers...

point clouds. k-d trees are a special case of binary space partitioning trees. The k-d tree is a binary tree in which every node is a k-dimensional point...

squares Methods of computing square roots nth root algorithm Summation: Binary splitting: a divide and conquer technique which speeds up the numerical evaluation...

ARM64-based processors. The main tool for handling (creating or splitting) universal binaries is the lipo command found in Xcode. The file command on macOS...

The reflected binary code (RBC), also known as reflected binary (RB) or Gray code after Frank Gray, is an ordering of the binary numeral system such that...

7 trillion decimal digits of π. Calculations were performed in base 2 (binary), then the result was converted to base 10 (decimal). The calculation, conversion...

Photocatalytic water splitting is a process that uses photocatalysis for the dissociation of water (H2O) into hydrogen (H 2) and oxygen (O 2). The inputs...

likely, distributions on a given number of nodes obtained by repeated splitting, binary tries and radix trees for random data, and trees of variable size...

\end{aligned}}} For large computations of π {\displaystyle \pi } , the binary splitting algorithm can be used to compute the arctangents much, much more quickly...

programming. Performing this operation is simple in decimal arithmetic, in the binary numeral system used in computer programming, and in other even-numbered...

is possible.: 291, 296  Binary fission may produce any of the fission products, at 95±15 and 135±15 daltons. However, the binary process happens merely...

Pairwise summation — slightly worse than Kahan summation but cheaper Binary splitting 2Sum Multiplication: Multiplication algorithm — general discussion...

implements advanced algorithms like Schönhage–Strassen multiplication, binary splitting for computing certain mathematical constants and others. All CLN objects...

Secret sharing (also called secret splitting) refers to methods for distributing a secret among a group, in such a way that no individual holds any intelligible...

Gibson on Network-Attached Secure Disks first promoted the concept of splitting less common operations, like namespace manipulations, from common operations...

In computer science, a red–black tree is a self-balancing binary search tree data structure noted for fast storage and retrieval of ordered information...

widespread in mathematics and physics because of its very simple derivative. The binary logarithm uses base 2 and is frequently used in computer science. Logarithms...

Splitting a file into parts of a specific size...

coordinates 0 ≤ x ≤ 7, 0 ≤ y ≤ 7 (shown both in decimal and binary). Interleaving the binary coordinate values (starting to the right with the x-bit (in...

B-tree generalizes the binary search tree, allowing for nodes with more than two children. Unlike other self-balancing binary search trees, the B-tree...