finding a vector subsetinapproximability boundapproximation schemenormed space.The problem under study is, given a finite set of vectors in a normed vector space, find a subset which maximizes the norm of the vector sum. For each lp norm, p ∈[1,∞) the problem is proved to have an in...
We present a randomized approximation algorithm for the problem of finding a subset of a finite vector set in the Euclidean space with the maximal norm of the sum vector. We show that, with an appropriate choice of parameters, the algorithm is polynomial for the problem with every fixed dimens...
Find a subset of vectors X of cardinality m such that the norm of the sum of the vectors from X is maximum.The second problem is connected in a signal search in a sequence of im- pulses with additional noise problem [1]. This problem has applications in 关键词: Euclidean space vector ...
from skyfield.api import load,EarthSatellite,wgs84, Topos from skyfield.positionlib import Geocentric from numpy.linalg import norm def normalize(vector): return vector / norm(vector) def find_earth_intersect_point(origin,vector,earth_radius): #Step 1: Turn that vector into a unit vector. Still...
For a matrix M and vectors x^{(i)}, i\in I, we define \Delta (M;x^{{(i)}}, i\in I) = ||M||_F^2 - ||M - M\sum_{i\in I}x^{(i)}x^{(i)^T}||_F^2 \\ When x^{(i)} are orthonormal vectors, this represents the norm of the projection of M onto the ...
Here ϕ is the (infinity) norm of the co- efficient vector of ϕ and ¯ f is the norm of the vector of norms of the coefficients ai(ζ). We assume that a common denominator has been multiplied through and all coefficients of the ai(ζ) are integers. For example, ...
RealVectortoRealVector(Map<String, Integer> map){RealVectorvector=newArrayRealVector(terms.size());inti=0;for(String term : terms) {intvalue=map.containsKey(term) ? map.get(term) :0; vector.setEntry(i++, value); }return(RealVector) vector.mapDivide(vector.getL1Norm()); ...
RealVectortoRealVector(Map<String, Integer> map){RealVectorvector=newArrayRealVector(terms.size());inti=0;for(String term : terms) {intvalue=map.containsKey(term) ? map.get(term) :0; vector.setEntry(i++, value); }return(RealVector) vector.mapDivide(vector.getL1Norm()); ...
A common way of finding the poles of a meromorphic function f in a domain, where an explicit expression of f is unknown but f can be evaluated at any given
Depth vectors may be expressed in various formats for each frame of reference, such as with the various coordinate systems described above. (A data structure need not be labeled as a vector in program code to constitute a vector, as long as the data structure encodes the information that ...