in this paper, the range doppler algorithm (rda) for synthetic aperture radar moving on a ballistic trajectory is presented. the 3-dimension acceleration and non-uniform trajectory cause decreases in efficiency of conventional imaging algorithms. in this paper, the analytical expression for the 2-d signal spectrum for ballistic trajectory using taylor series expansion and series reversion is de...

‎In this article we study relations between some algebraic‎ ‎operations such as tensor product and localization from one hand‎ ‎and some well-known dimensions such as uniform dimension‎, ‎hollow‎ ‎dimension and type dimension from the other hand‎. ‎Some minor‎ ‎applications to the ring $C(X)$ are observed.

Let F be a k-uniform hypergraph on [n] where k − 1 is a power of some prime p and n ≥ n0(k). Our main result says that if |F | > ( n k−1 ) − logp n + k!kk , then there exists E0 ∈ F such that {E ∩ E0 : E ∈ F} contains all subsets of E0. This improves a longstanding bound of ( n k−1 ) due to Frankl and Pach [7].

3 Uniform measures of complexity 12 3.1 Metric entropy and the combinatorial dimension . . . . . . . . . 12 3.1.1 Binary valued classes . . . . . . . . . . . . . . . . . . . . . 13 3.1.2 Real valued classes . . . . . . . . . . . . . . . . . . . . . . 15 3.2 Random averages and the combinatorial dimension . . . . . . . . 17 3.3 Phase transitions in GC classes . . . . . . . . . . . . . . . . . . ...

In this note we present an algorithm to obtain a uniform lower bound on Hausdorff dimension of the stationary measure affine iterated function scheme with similarities, best known example which is Bernoulli convolution. The convolution μλ probability corresponding law random variableξ=∑k=0∞ξkλk, where ξk are i.i.d. variables assuming values −1 and 1 equal 12<λ<1. particular, for convolutions gi...