Questions tagged [basis]

A basis (of e.g. vectors) spans a space (such as vector space).

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How do I get the b-complement of 193 for b = 5?

So I am supposed to find the b-complement for 193 given that b = 5 and the number of digits allowed is n = 6. Now I think I am a bit confused regarding the b-complement in general. Is it that whenever b is odd, just like in the case we have here,…
FishyK
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Do [T]EE and [T]BE have the same eigenvalues?

I know there are plenty of questions regarding 2 matrices one is [T]BB and one is [T]EE , so we all know that eigenvalues and eigenvectors are kept across different bases. My question is what happens when you have a transformation from one basis to…
bilanush
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How to find non-orthogonal bases of a data matrix in python?

I have a data matrix of size mXn. I want to know how to find a set of non-orthogonal vectors of the matrix where each vector is of size mX1 and the number of basis vectors, say k << n, in python.
Sushodhan
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In CPLEX, how to find a variable in the model is in the basis or not?

I am looking for a simple way to obtain the list of base variables a LP problem with CPLEX, or a way to indicate a variable is in basis or not? Actually, I am working on a column generation algorithm. After solving the Restricted Master Problem, the…
mmahnam
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What is the meaning of evaluating a spline's basis function?

I'm trying to understand the workflow for implementing the bspline basis function. tauf Vd 0 0 0.048 502.8944826 0.072 743.5034753 0.096 791.2514106 0.12 825.3244319 0.144 858.1731717 0.168 889.1381766 0.192 …
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Get all extreme points of Linear Program in CPLEX

I need to enumerate all basis corresponding to all extreme points of a LP with the CPLEX API in Java. Unfortunately I did not find any way to do this with CPLEX. Is there a solution ? If not, I will do this myself but I will need to play with basis.…
Aurelien
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Random Gaussian with standard deviation

I want to intialize a array with random gaussian with standard deviation of 0.08 in python. I was able to find something like this self.biases = [np.random.randn(y, 1) for y in sizes[1:]] However it for standard deviation of 1.
kitty
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Natural spline basis in R

Hi all, I hope you can help me on this problem. I am using the ns(...) command in R to generate a base of natural splines, including 1 internal knot 2 boundary knots Intercept equal to T Let's say as an example, ns(1:20, knots=9,…
LZG
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Accurev undo a revert to basis

In Accurev I have accidently purge a stream by doing a revert to basis while trying to pull the latest from the stream. This removed all the files within the stream. Is it possible to undo it? and how?
kennyT07
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How to find knot vector if control points are known for a NURBS curve?

I have a set of control points pts = [[849, 1181], [916, 1257], [993, 1305], [1082,1270], [1137,1181], [1118,1055], [993,1034], [873,1061], [849, 1181]] I have the logic for generating an…
snelzb
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How to check if elements form a primitive system of a lattice

Given a collection of vectors $V = {v_1, v_2, ..., v_k}$ belonging to a lattice $L$ with basis $B$, is there an efficient procedure that can determine whether or not $V$ forms a primitive system for $L$? This means that if $L$ has rank $n \geq k$,…
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Cycles from a specific node in directed graph networkx

I am trying to find the independent cycles coming out from from a specific node in a graph in netowrkx. The algorithms there are implemented for undirected (with an option for node) and for undirected (without an option for node…
Steve
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Converting an array containing the power set of a positive integer d to an array with standard elementary vectors in d-dimensional space

Example of what I am trying to do: convert the power set of d = 2 using range(2): [(), (0,), (1,), (0, 1)] or using range(1, 3, 1): [(), (1,), (2,), (1, 2)] into the following array of arrays: [[0, 0], [1, 0], [0, 1], [1, 1]] More generally, I…
Mee Seong Im
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