Arb - a C library for arbitrary-precision ball arithmetic
网页Arb is a C library for rigorous real and complex arithmetic with arbitrary precision. Arb tracks numerical errors automatically using ball arithmetic, a form of interval arithmetic based on a midpoint-radius representation.
n-sphere - Wikipedia
网页The surface area of an arbitrary -sphere is proportional to the st power of the radius, and the volume of an arbitrary -ball is proportional to the th power of the radius. Graphs of volumes ( ) and surface areas ( ) of n -balls of radius 1. The …
Welcome to Arb’s documentation! — Arb 2.9.0-git ... - Fredrik J
网页Arb is a C library for arbitrary-precision floating-point ball arithmetic, developed by Fredrik Johansson (fredrik. johansson @ gmail. com). It supports real and complex numbers, polynomials, power series, matrices, and evaluation of many transcendental functions. All is done with automatic, rigorous error bounds.
[1611.02831] Arb: Efficient Arbitrary-Precision Midpoint-Radius
网页Arb is a C library for arbitrary-precision interval arithmetic using the midpoint-radius representation, also known as ball arithmetic. It supports real and complex numbers, polynomials, power series, matrices, and evaluation of many special functions.
Ball (mathematics) - Wikipedia
网页In such spaces, an arbitrary ball () of points around a point with a distance of less than may be viewed as a scaled (by ) and translated (by ) copy of a unit ball ().
[1611.02831] Arb: Efficient Arbitrary-Precision Midpoint-Radius ...
网页2016年11月9日 · Arb is a C library for arbitrary-precision interval arithmetic using the midpoint-radius representation, also known as ball arithmetic. It supports real and complex numbers, polynomials, power series, matrices, and evaluation of many special functions. The core number types are designed for versatility and speed in a range of scenarios ...
Ball Arithmetic - NARS2000
网页A Ball describes a range of arbitrary-precision floating point numbers, and so the expression 23±1 represents the set of Real numbers between 22 and 24, inclusive, not the three integers 22, 23, 24 . In general, suffix notation on Ball Arithmetic constants should be sufficient for almost all purposes.
Arbitrary precision real balls · Nemo.jl - JuliaHub
网页Arbitrary precision real ball arithmetic is supplied by Arb which provides a ball representation which tracks error bounds rigorously. Real numbers are represented in mid-rad interval form $[m \pm r] = [m-r, m+r]$ .
网页heuristic arbitrary-precision integration routines intnum in Pari/GP [10] and quad in mpmath [5]. Both use double exponential quadrature without adaptive subdivision, although quad is degree-adaptive. Further comparisons with other numerical and interval packages (as well as alternative methods in Pari/GP and
Hairy ball theorem - Wikipedia
网页The hairy ball theorem of algebraic topology (sometimes called the hedgehog theorem in Europe) [1] states that there is no nonvanishing continuous tangent vector field on even-dimensional n -spheres. [2][3] For the ordinary sphere, or 2‑sphere, if f is a continuous function that assigns a vector in R3 to every point p on a sphere such that f (p)...
跳至内容