and computer science, kappa calculus is a formal system for defining first-order functions. Unlike lambda calculus, kappa calculus has no higher-order functions;...
12 KB (1,771 words) - 04:16, 7 April 2024
connections to computational theory Kappa calculus, a reformulation of the first-order fragment of typed lambda calculus Rho calculus, introduced as a general means...
5 KB (671 words) - 05:49, 20 August 2024
expressions. Kappa calculus—an analogue of typed lambda calculus which excludes higher-order functions Brandl, Helmut (27 April 2024). "Typed Lambda Calculus / Calculus...
6 KB (738 words) - 13:28, 1 September 2024
Lambda calculus (also written as λ-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application...
86 KB (11,552 words) - 04:59, 28 August 2024
connections to computational theory Kappa calculus, a reformulation of the first-order fragment of typed lambda calculus Rho calculus, introduced as a general means...
2 KB (304 words) - 06:08, 25 June 2024
stochastic calculus is a generalization of stochastic calculus to noncommuting variables. The tools provided by quantum stochastic calculus are of great...
19 KB (3,218 words) - 23:03, 3 October 2022
Explicit currying with [1]. Defunctionalization eval First-class message Kappa calculus – a formalism which excludes first-class functions Man or boy test Partial...
27 KB (2,522 words) - 02:43, 7 September 2024
Higher-order function (category Lambda calculus)
Combinatory logic Function-level programming Functional programming Kappa calculus - a formalism for functions which excludes higher-order functions Strategy...
24 KB (2,624 words) - 01:46, 7 September 2024
role in the development of infinitesimal calculus; in particular, for proof of the fundamental theorem of calculus. His work centered on the properties of...
21 KB (2,221 words) - 07:52, 17 August 2024
The icosian calculus is a non-commutative algebraic structure discovered by the Irish mathematician William Rowan Hamilton in 1856. In modern terms, he...
5 KB (579 words) - 07:05, 8 February 2024
geometry, the kappa curve or Gutschoven's curve is a two-dimensional algebraic curve resembling the Greek letter ϰ (kappa). The kappa curve was first...
4 KB (793 words) - 12:24, 10 March 2024
Frenet–Serret formulas (category Multivariable calculus)
{d} \mathbf {T} }{\mathrm {d} s}}&=\kappa \mathbf {N} ,\\{\frac {\mathrm {d} \mathbf {N} }{\mathrm {d} s}}&=-\kappa \mathbf {T} +\tau \mathbf {B} ,\\{\frac...
33 KB (4,888 words) - 06:38, 31 August 2024
compensation for the risk borne in investment the α-conversion in lambda calculus the independence number of a graph a placeholder for ordinal numbers in...
37 KB (3,440 words) - 14:30, 7 September 2024
Regge calculus is a formalism for producing simplicial approximations of spacetimes that are solutions to the Einstein field equation. The calculus was...
7 KB (708 words) - 01:24, 20 July 2024
notation of the partition calculus, κ {\displaystyle \kappa } is α {\displaystyle \alpha } -Erdős if κ → ( α ) < ω {\displaystyle \kappa \rightarrow (\alpha...
4 KB (445 words) - 06:39, 25 July 2024
_{p}}={\tfrac {1}{m!}}\varepsilon ^{\kappa _{1}\dots \kappa _{m}\mu _{1}\dots \mu _{p}}\varepsilon _{\kappa _{1}\dots \kappa _{m}\nu _{1}\dots \nu _{p}}\,.}...
22 KB (4,056 words) - 21:53, 29 December 2023
Infinitary combinatorics (redirect from Partition calculus)
\displaystyle \kappa \rightarrow (\lambda )_{m}^{n}} as a shorthand way of saying that every partition of the set [ κ ] n {\displaystyle [\kappa ]^{n}} of...
10 KB (1,388 words) - 23:25, 6 July 2024
vary. The maximal curvature κ 1 {\displaystyle \kappa _{1}} and minimal curvature κ 2 {\displaystyle \kappa _{2}} are known as the principal curvatures of...
11 KB (1,739 words) - 00:25, 20 August 2024
Curvature (category Multivariable calculus)
'\end{pmatrix}}={\begin{pmatrix}0&\kappa _{\mathrm {g} }&\kappa _{\mathrm {n} }\\-\kappa _{\mathrm {g} }&0&\tau _{\mathrm {r} }\\-\kappa _{\mathrm {n} }&-\tau _{\mathrm...
44 KB (6,460 words) - 20:41, 28 August 2024
Kappa Mu Epsilon (ΚΜΕ) is an American mathematics honor society. It was founded by Emily Kathryn Wyant in 1931 at Northeastern Oklahoma State Teachers...
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ν + Λ g μ ν = κ T μ ν {\displaystyle G_{\mu \nu }+\Lambda g_{\mu \nu }=\kappa T_{\mu \nu }} where G μ ν {\displaystyle G_{\mu \nu }} is the Einstein tensor...
34 KB (5,098 words) - 08:50, 29 July 2024
plane and the Euclidean space by methods of differential and integral calculus. Many specific curves have been thoroughly investigated using the synthetic...
23 KB (3,326 words) - 14:19, 30 May 2024
Nonstandard analysis (section Applications to calculus)
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard...
31 KB (3,972 words) - 11:12, 2 September 2024
'_{6}={}&\kappa _{6}+6\kappa _{5}\kappa _{1}+15\kappa _{4}\kappa _{2}+15\kappa _{4}\kappa _{1}^{2}+10\kappa _{3}^{2}+60\kappa _{3}\kappa _{2}\kappa _{1}+20\kappa...
50 KB (8,949 words) - 22:40, 13 July 2024
− 1 R 2 {\displaystyle \kappa ^{-1}R^{2}} where R 2 {\displaystyle R^{2}\,} now is positive and κ ≡ ± 1 {\displaystyle \kappa \equiv \pm 1} . We can now...
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\kappa } is a regular cardinal if and only if every unbounded subset C ⊆ κ {\displaystyle C\subseteq \kappa } has cardinality κ {\displaystyle \kappa }...
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electric and magnetic fields Maxwell stress tensor Poynting vector Ricci calculus Segre classification On pp. 141–142 of Misner, Thorne, and Wheeler, section...
23 KB (3,997 words) - 16:35, 1 August 2024
In partition calculus, part of combinatorial set theory, a branch of mathematics, the Erdős–Rado theorem is a basic result extending Ramsey's theorem to...
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{\displaystyle T_{\mu \nu }={\frac {\partial {\bar {x}}^{\kappa }}{\partial {x}^{\mu }}}{\bar {T}}_{\kappa \lambda }{\frac {\partial {\bar {x}}^{\lambda }}{\partial...
22 KB (3,464 words) - 13:16, 28 May 2024
a rule of thumb, if the condition number κ ( A ) = 10 k {\displaystyle \kappa (A)=10^{k}} , then you may lose up to k {\displaystyle k} digits of accuracy...
17 KB (2,612 words) - 13:28, 18 April 2024