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This is an indicatory presentation of main definitions and theorems of Fibonomial Calculus which is a special case of ψ-extented Rota's finite operator calculus [7].

An introduction to $q$ -species.

Morrison, Kent E. (2005)

The Electronic Journal of Combinatorics [electronic only]

An invariant for finitely presented ...G-modules.

William L. Paschke (1995)

Mathematische Annalen

An invariant sum related to record statistics.

Lengyel, Tamás (2007)

Integers

An inverse matrix formula in the right-quantum algebra.

Konvalinka, Matjaz (2008)

The Electronic Journal of Combinatorics [electronic only]

An Inversion Formula for the Radon Transform on Trees.

W. Betori, J. Fraut, M. Pagliacci (1989)

Mathematische Zeitschrift

An inversion formula, matrix functions, combinatorial identities and graphs

Antonín Vrba (1973)

Časopis pro pěstování matematiky

An involution principle-free bijective proof of Stanley's hook-content formula.

Krattenthaler, Christian (1998)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

An observation on the extension of Abel's lemma.

Patkowski, Alexander E. (2010)

Integers

An optimal matching problem

Ivar Ekeland (2005)

ESAIM: Control, Optimisation and Calculus of Variations

Given two measured spaces $(X, μ)$ and $(Y, ν)$ , and a third space $Z$ , given two functions $u (x, z)$ and $v (x, z)$ , we study the problem of finding two maps $s : X \to Z$ and $t : Y \to Z$ such that the images $s (μ)$ and $t (ν)$ coincide, and the integral $\int_{X} u (x, s (x)) d μ - \int_{Y} v (y, t (y)) d ν$ is maximal. We give condition on $u$ and $v$ for which there is a unique solution.

An optimal matching problem

Ivar Ekeland (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Given two measured spaces $(X, μ)$ and $(Y, ν)$ , and a third space Z, given two functions u(x,z) and v(x,z), we study the problem of finding two maps $s : X \to Z$ and $t : Y \to Z$ such that the images $s (μ)$ and $t (ν)$ coincide, and the integral $\int_{X} u (x, s (x)) d μ - \int_{Y} v (y, t (y)) d ν$ is maximal. We give condition on u and v for which there is a unique solution.

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An Infinite Family of Minor-Minimal Nonrealizable 3-Chirotopes.

An infinite family of non-embeddable Hadamard designs.

An infinite version of the Pólya enumeration theorem.

An interesting new Mahonian permutation statistic.

An introduction to clobber.

An introduction to $F$ -graphs, a graph-theoretic representation of natural numbers.

An introduction to finite fibonomial calculus

An introduction to $q$ -species.

An invariant for finitely presented ...G-modules.

An invariant sum related to record statistics.

An inverse matrix formula in the right-quantum algebra.

An Inversion Formula for the Radon Transform on Trees.

An inversion formula, matrix functions, combinatorial identities and graphs

An involution principle-free bijective proof of Stanley's hook-content formula.

An observation on the extension of Abel's lemma.

An optimal matching problem

An optimal matching problem

An optimal strongly identifying code in the infinite triangular grid.

An ordering of some metrics defined on the space of graphs

An oriented 7-colouring of planar graphs with girth at least 7.

Currently displaying 1001 – 1020 of 1227