Results 41 to 50 of about 6,452,940 (353)

A Morse index theorem for elliptic operators on bounded domains [PDF]

, 2015
Given a selfadjoint, elliptic operator $L$, one would like to know how the spectrum changes as the spatial domain $\Omega \subset \mathbb{R}^d$ is deformed.
Cox, Graham, Jones, Christopher K. R. T., Marzuola, Jeremy L.   +2 more
core   +3 more sources

Braid index bounds ropelength from below [PDF]

Journal of Knot Theory and Its Ramifications, 2020
For an unoriented link [Formula: see text], let [Formula: see text] be the ropelength of [Formula: see text]. It is known that in general [Formula: see text] is at least of the order [Formula: see text], and at most of the order [Formula: see text] where [Formula: see text] is the minimum crossing number of [Formula: see text].
openaire   +2 more sources

Number Line Tasks and Their Relation to Arithmetics in Second to Fourth Graders

Journal of Numerical Cognition, 2021
Considering the importance of mathematical knowledge for STEM careers, we aimed to better understand the cognitive mechanisms underlying the commonly observed relation between number line estimations (NLEs) and arithmetics.
Carrie Georges, Christine Schiltz
doaj   +1 more source

Non-homogeneous directional equations: Slice solutions belonging to functions of bounded $L$-index in the unit ball [PDF]

Mathematica Bohemica
For a given direction $ b\in\mathbb{C}^n\setminus\{0\}$ we study non-homogeneous directional linear higher-order equations whose all coefficients belong to a class of joint continuous functions which are holomorphic on intersection of all directional ...
Andriy Bandura, Tetyana Salo, Oleh Skaskiv   +2 more
doaj   +1 more source

Some special characterisations of Fredholm operators in Banach space

Bibechana, 2014
A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays
Mahendra Shahi
doaj   +3 more sources

On finite groups whose Sylow subgroups have a bounded number of generators [PDF]

, 2010
Let G be a finite non-nilpotent group such that every Sylow subgroup of G is generated by at most d elements, and such that p is the largest prime dividing |G|.
Reid, Colin D.
core   +2 more sources

On the torsion in the center conjecture

, 2017
We present a condition for towers of fiber bundles which implies that the fundamental group of the total space has a nilpotent subgroup of finite index whose torsion is contained in its center.
Kapovitch, Vitali, Petrunin, Anton, Tuschmann, Wilderich   +2 more
core   +1 more source

The unbounded commutant of an operator of class C_0

, 2009
We describe the closed, densely defined linear transformations commuting with a given operator T of class C_0 in terms of bounded operators in {T}'.
Bercovici, Hari
core   +1 more source

Bounds on the Balaban index

Croatica Chemica Acta, 2008
The Balaban index of a connected (molecular) graph G is defined as [GRAPHICS], where m is the number of edges, mu is the cyclomatic number, D-u is the sum of distances between vertex u and all other vertices of G, and the summation goes over all edges from the edge set E(G).
Zhou, Bo, Trinajstić, Nenad
openaire   +5 more sources

Stronger 3SUM-Indexing Lower Bounds

, 2023
The 3SUM-Indexing problem was introduced as a data structure version of the 3SUM problem, with the goal of proving strong conditional lower bounds for static data structures via reductions. Ideally, the conjectured hardness of 3SUM-Indexing should be replaced by an unconditional lower bound.
Chung, Eldon, Larsen, Kasper Green
openaire   +4 more sources