X
Search Filters
Format Format
Subjects Subjects
Subjects Subjects
X
Sort by Item Count (A-Z)
Filter by Count
mathematics, applied (10) 10
chain rule (8) 8
mathematics (7) 7
polynomials (7) 7
faa di bruno formula (6) 6
composite functions (5) 5
faà di bruno formula (5) 5
algebra (4) 4
bell polynomials (4) 4
faa di bruno's formula (4) 4
mathematical analysis (4) 4
derivatives (3) 3
differentiation (3) 3
faa di bruno (3) 3
interpolation (3) 3
statistics & probability (3) 3
analysis (2) 2
calculus (2) 2
combinatorics (2) 2
complete bell polynomial (2) 2
determinant (2) 2
differential equations (2) 2
divided difference (2) 2
faa (2) 2
faà di bruno's formula (2) 2
fourier analysis (2) 2
hermite polynomials (2) 2
mathematical functions (2) 2
models (2) 2
moments (2) 2
05e35 (1) 1
14h55 (1) 1
17b65 (1) 1
32f18 (1) 1
32t25 (1) 1
32t27 (1) 1
32u05 (1) 1
32v35 (1) 1
42c10 (1) 1
[formula omitted]-analogue (1) 1
abelian categories (1) 1
abstract algebra (1) 1
abstract harmonic analysis (1) 1
aerospace engineering (1) 1
aerospace materials (1) 1
analytic functions (1) 1
associated legendre polynomials (1) 1
automorphism groups (1) 1
automotive and aerospace engineering, traffic (1) 1
bell polynomial (1) 1
bells (1) 1
bootstrap (1) 1
calculus of several variables (1) 1
cartesian differential categories (1) 1
category theory (1) 1
cauchy integral (1) 1
cauchy problem (1) 1
central extensions (1) 1
chains (1) 1
chebyshev approximation (1) 1
classical fields (1) 1
classical mechanics (1) 1
coefficients (1) 1
combinatorial number theory (1) 1
combinatorial numbers (1) 1
composite function (1) 1
computational mathematics (1) 1
computer science, software engineering (1) 1
conferences (1) 1
convex and discrete geometry (1) 1
convex domains (1) 1
cumulants; faa di bruno's chain rule (1) 1
deriva-tives (1) 1
derivatives of a function of a function (1) 1
determinants (1) 1
di-bruno formula (1) 1
dibruno,faa (1) 1
differential algebras (1) 1
differential calculus (1) 1
differential categories (1) 1
differential geometry (1) 1
differentiation theory (1) 1
divided difference form (1) 1
divided differences (1) 1
djkm algebras (1) 1
dynamical systems and ergodic theory (1) 1
education (1) 1
educational institutions (1) 1
engineering (1) 1
engineering, mechanical (1) 1
enumeration (1) 1
equations of motion (1) 1
euler-lagrange equation (1) 1
fa di bruno's formula (1) 1
faa. di bruno's chain rule (1) 1
faadi bruno formula (1) 1
faà di bruno's chain rule (1) 1
faà di bruno’s formula (1) 1
fibonacci numbers (1) 1
field theory and polynomials (1) 1
more...
Language Language
Publication Date Publication Date
Click on a bar to filter by decade
Slide to change publication date range


Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 04/2007, Volume 76, Issue 258, pp. 867 - 877
In this paper we derive two formulas for divided differences of a function of a function. Both formulas lead to other divided difference formulas, such as... 
Integers | Interpolation | Composite functions | Product rule | Quotient rule | Chain rule | Polynomials | Mathematical functions | Coefficients | Divided differences | Faà di Bruno's formula | INTERPOLATION | MATHEMATICS, APPLIED | chain rule | Faa di Bruno's formula | divided differences
Journal Article
Topology and its Applications, ISSN 0166-8641, 02/2018, Volume 235, pp. 375 - 427
In this paper, we consider abelian functor calculus, the calculus of functors of abelian categories established by the second author and McCarthy. We carefully... 
Abelian categories | Faà di Bruno formula | Chain rule | Functor calculus | Cartesian differential categories | MATHEMATICS | MATHEMATICS, APPLIED | Faadi Bruno formula
Journal Article
Turkish Journal of Mathematics, ISSN 1300-0098, 2014, Volume 38, Issue 3, pp. 558 - 575
We give moment equalities for sums of independent and identically distributed random variables including, in particular, centered and specifically symmetric... 
Bootstrap | Faà di bruno's chain rule | Integer partitions | Marcinkiewicz-Zygmund inequalities | Moments | Self-normalized sums | MATHEMATICS | Faa. di Bruno's chain rule | bootstrap | integer partitions | self-normalized sums
Journal Article
BIT Numerical Mathematics, ISSN 0006-3835, 2010, Volume 50, Issue 3, pp. 577 - 586
In this paper we derive a formula for divided differences of composite functions of several variables with respect to rectangular grids of points. Letting the... 
Chain rule | Divided difference | Calculus of several variables | Faa di Bruno formula | INTERPOLATION | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | DIBRUNO,FAA | DI-BRUNO FORMULA
Journal Article
Discrete Mathematics, ISSN 0012-365X, 03/2011, Volume 311, Issue 6, pp. 387 - 392
Fa di Bruno's formula is the higher chain rule for differentiation. By means of Gessel's q-composition we derive a q-analogue of Fa di Bruno's determinant... 
q-analogue | Complete Bell polynomial | Fa di Bruno's formula | Determinant | MATHEMATICS | DIVIDED DIFFERENCE FORM | Faa di Bruno's formula | Bells | Composite functions | Mathematical analysis | Chains | Determinants | Derivatives | Differentiation
Journal Article
The ANZIAM Journal, ISSN 1446-1811, 1/2007, Volume 48, Issue 3, pp. 327 - 341
Journal Article
Journal of Pure and Applied Algebra, ISSN 0022-4049, 10/2019, Volume 223, Issue 10, pp. 4191 - 4225
Differential categories were introduced by Blute, Cockett, and Seely as categorical models of differential linear logic and have since led to abstract... 
Faà di Bruno formula | Hurwitz series rings | Differential categories | Differential algebras | FORMS | MATHEMATICS | MATHEMATICS, APPLIED | MODELS | Faa di Bruno formula | Analysis | Algebra | Mathematics - Category Theory
Journal Article
International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, 09/2009, Volume 40, Issue 6, pp. 842 - 845
Moments and cumulants are expressed in terms of each other using Bell polynomials. Inbuilt routines for the latter make these expressions amenable to use by... 
Secondary 60E05 | Primary 62E30 | moments | cumulants; Faa di Bruno's chain rule | Bell polynomials | Cumulants; Faa di Bruno's chain rule | Moments | Probability | Algebra | Mathematical Formulas | Statistics
Journal Article
Journal of Computational Mathematics, ISSN 0254-9409, 7/2006, Volume 24, Issue 4, pp. 553 - 560
The n-divided difference of the composite function h := f o g of functions f, g at a group of nodes t₀, t₁, ···, tn is shown by the combinations of divided... 
Interpolation | Indices of summation | Composite functions | Higher order derivatives | Chain rule | Polynomials | Mathematical functions | Computational mathematics | Newton interpolation | Divided difference | FAÀ di Bruno's formula | Bell polynomial | Composite function | MATHEMATICS | MATHEMATICS, APPLIED | divided difference | Faa di Bruno's formula | composite function
Journal Article
UTILITAS MATHEMATICA, ISSN 0315-3681, 03/2016, Volume 99, pp. 43 - 62
Faa di Bruno gave a chain rule for the derivatives of a function of a scalar function of a scalar. It is succinctly expressed in terms of Bell polynomials. We... 
MATHEMATICS, APPLIED | MODELS | Multivariate Bell polynomials | Faa di Bruno | MULTIVARIATE HERMITE-POLYNOMIALS | Chain rule | STATISTICS & PROBABILITY | Derivatives of a function of a function | DIFFERENTIATION | Partial derivatives
Journal Article
Utilitas Mathematica, ISSN 0315-3681, 11/2012, Volume 89, pp. 113 - 127
The chain rule for the derivatives of a composite function g(p) circle ... circle g(1) can be succinctly expressed in terms of the Bell polynomials of the... 
Chain rule | Faa di bruno | Derivatives | Composite functions | Bell polynomials | MATHEMATICS, APPLIED | Faa di Bruno | STATISTICS & PROBABILITY
Journal Article
Utilitas Mathematica, ISSN 0315-3681, 07/2011, Volume 85, pp. 65 - 86
Faa di Bruno gave a chain rule for the derivatives of a function of a function. It is succinctly expressed in terms of Bell polynomials. This has a... 
Deriva-tives | Log-normal | Composite functions | Bell polynomials | Faa di Bruno | Chain rule | Hermite polynomials | POLYNOMIALS | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | Derivatives
Journal Article
2014 IEEE Workshop on Statistical Signal Processing (SSP), ISSN 2373-0803, 06/2014, pp. 217 - 219
Volterra series are used for modelling nonlinear systems with memory effects. The n th -order impulse response and the kernels in the series can be determined... 
Conferences | FAA | Signal processing | Educational institutions | Calculus | Mathematical model | Kernel
Conference Proceeding
Discrete Mathematics, ISSN 0012-365X, 2011, Volume 311, Issue 6, pp. 387 - 392
Faà di Bruno’s formula is the higher chain rule for differentiation. By means of Gessel’s q -composition we derive a q -analogue of Faà di Bruno’s determinant... 
Determinant | Complete Bell polynomial | Faà di Bruno’s formula | [formula omitted]-analogue
Journal Article
The Journal of Geometric Analysis, ISSN 1050-6926, 7/2018, Volume 28, Issue 3, pp. 2602 - 2608
Journal Article
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, ISSN 0191-2216, 12/2009, pp. 3155 - 3161
This paper gives a bound on the continuity of solutions to nonlinear ordinary differential equations. Continuity is measured with respect to an arbitrary... 
Sensitivity analysis | Stability | Veins | Differential equations | FAA | Lyapunov method | Aerospace materials | Polynomials | Functional programming | Aerospace engineering
Conference Proceeding
No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.