A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations
A class of Laplace transforms is examined to show that particular cases of this class are associated with production-destruction and reaction-diffusion problems in physics, study of differences of independently distributed random variables and the ...
A. M. Mathai +23 more
core +1 more source
Recursive and Cyclic Constructions for Double‐Change Covering Designs
ABSTRACT A double‐change covering design (DCCD) is a v $v$‐set V $V$ and an ordered list L ${\mathscr{L}}$ of b $b$ blocks of size k $k$ where every pair from V $V$ must occur in at least one block and each pair of consecutive blocks differs by exactly two elements. It is minimal if it has the fewest blocks possible and circular when the first and last
Amanda Lynn Chafee, Brett Stevens
wiley +1 more source
How I Do It: The Transtracheal Approach for Awake Cricopharyngeal Botulinum Toxin Injection
This transtracheal technique for cricopharyngeal botulinum toxin injection is a safe and effective option for chemodenervation of this muscle in the awake patient. Its advantages include reduced risk of toxin spread to intrinsic laryngeal muscles, the ability to administer higher doses of botulinum toxin, improved access to the entire length of the ...
Andrew Tritter +2 more
wiley +1 more source
Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source
X-RAYS SEPARATOR: FORWARD STEP IN TECHNOLOGY OF OPTICAL SEPARATION
Presently the X-ray separation is used not only for research program, but it is also elaborated and applied for different sectors of economy. The seeds as biological objects that possess the complicated microstructure are very difficult to be exanimated ...
N. N. Potrakhov +2 more
doaj +1 more source
Prime power terms in elliptic divisibility sequences [PDF]
We consider a particular case of an analog for elliptic curves to the Mersenne problem : finding explicitely all prime power terms in an elliptic divisibility sequence when descent via isogeny is possible.
Mahé, Valéry
core +2 more sources
Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley +1 more source
Divisibility of the sums of the power of consecutive integers [PDF]
We study the divisibility of the sums of the odd power of consecutive integers, S(m,k)=1ᵐᵏ+2ᵐᵏ+...+kᵐᵏ and 1ᵏ+2ᵏ+...+nᵏ for odd integers m and k, by using the Girard-Waring identity. Faulhaber's approach for the divisibilities is discussed.
Tian-Xiao He, Peter J.-S. Shiue
doaj +1 more source
Combinatorial proofs of some properties of tangent and Genocchi numbers
The tangent number $T_{2n+1}$ is equal to the number of increasing labelled complete binary trees with $2n+1$ vertices. This combinatorial interpretation immediately proves that $T_{2n+1}$ is divisible by $2^n$.
Han, Guo-Niu, Liu, Jing-Yi
core +2 more sources
ASL 4D MRA Intracranial Vessel Segmentation With Deep Learning U‐Nets
ABSTRACT Purpose To propose a spatio‐temporal U‐Net based network (4DST) that exploits both spatial and dynamic information while avoiding memory‐intensive 4D convolutional layers for ASL‐based non‐contrast enhanced 4‐dimensional MR angiography (4D MRA) vessel segmentation.
Sang Hun Chung +7 more
wiley +1 more source

