We study graphs coming from quadratic spaces over finite fields which generalize a recent result given by Bishnoi, Ihringer, and Pepe (2020). More precisely, we the graph Γ□(n,k,q) defined as follows: vertex set is of k-dimensional subspaces fixed space (Fqn,x12+⋯+xn−12+λxn2) isometrically isomorphic to x12+⋯+xk2. Here λ non-square in Fq, two vertices x,y are adjacent if x⊆y⊥.

In this paper, we introduce a new class of discrete orthogonal transforms (DОT) defined on lattices integer elements quadratic fields. The method synthesis such essentially uses the specifics representation in so-called quasi-canonical number systems. This article, which presents results first part author's research, deals exclusively with problems related to binary systems We also consider iss...

4 Empirical Orthogonal Function (EOF) Analysis is commonly used in the climate sciences 5 and elsewhere to describe, reconstruct, and predict highly dimensional data fields. When 6 data contain a high percentage of missing values (i.e. “gappy”), alternate approaches must 7 be used in order to correctly derive EOFs. The aims of this paper are to assess the accuracy 8 of several EOF approaches in...

Sets of neuronal tuning curves, which describe the responses of neurons as functions of a stimulus, can serve as a basis for approximating other functions of stimulus parameters. In a function-approximating network, synaptic weights determined by a correlation-based Hebbian rule are closely related to the coefficients that result when a function is expanded in an orthogonal basis. Although neur...

in this paper, we propose space-time block codes based on constituent intersectant orthogonal designs. after channel model is formulated, we studied the space-time block codes from constituent intersectant orthogonal designs. at last we made simulations for the space-time block codes from complex orthogonal design and the space-time block codes from constituent intersectant orthogonal design to...

Localization of the three-level Λ-type atomic system interacting with two orthogonal standingwave fields is proposed. Two equal and tunable peaks in the 2D plane are obtained by the detunings corresponding to the two orthogonal standing-wave fields when the decreasing intensities of spontaneously generated coherence (SGC) arise in the three-level Λ-type atomic system, while one circular ring wi...

We describe a method of producing high-resolution models of the Earth’s combined external and induced magnetic field (EIMF) using the method of Empirical Orthogonal Functions (EOFs) applied to the SuperMAG archive of ground-based magnetometer data. EOFs partition the variance of a system into independent modes, allowing us to extract the spatiotemporal patterns of greatest dynamical importance ...