L-p norm of a given complex vectorMehmet Suzen
The norm of a complex numbera + biis(a2+ b2*).* The norm of a complex number is the square of its modulus. The modulus of a complex number is a measure of the length of the vector representing the complex number. The modulus of a complex numbera + biissqrt*(a2+ b2),* written|...
Thus, the formula for the norm of a complex vector is not very different from the formula for real vectors: we just need to replace the absolute values of the entries of the vector with their moduli. ExampleDefine Then Solved exercises Below you can find some exercises with explained solution...
How can I calculate the norm of a vector which is of form [sin(t);cos(t)]? I tried f=x*y^2;gamma=[2*cos(t);sin(t)];tmin=0;tmax=2*pi; mod=matlabFunction(norm(dgamma)) value=int((fgamma)*mod,t,tmin,tmax) with answer ...
Examplesopen all Basic Examples(2) Norm of a vector: In[1]:= Out[1]= Norm of a complex number: In[1]:= Out[1]= Scope(3) Generalizations & Extensions(6) Applications(3) Properties & Relations(4) Possible Issues(2) Neat Examples(2) ...
A scalar-valued function on a real or complex vector space satisfying the axioms of a norm, except that the seminorm of a nonzero vector may equal zero. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc. ...
Vector norms A scalar measure of the magnitude of a vector X with elements x1, x2… xn, is provided by a norm, the general family of norms being defined by ||X|| = [Σi |xi|p]1/p. The usual norms are found from the values of p. If p = 1, ||X|| is the sum of the ...
n = norm(v) returns the 2-norm or the magnitude of symbolic vector v. n = norm(v,p) returns the p-norm of symbolic vector v. example n = norm(A) returns the 2-norm of symbolic matrix A. Because symbolic variables are assumed to be complex by default, the norm can contain unreso...
Complex Number Support:Yes p—Norm type 2(default) |positive real scalar|Inf|-Inf Norm type, specified as2(default), a positive real scalar,Inf, or-Inf. The valid values ofpand what they return depend on whether the first input tonormis a matrix or vector, as shown in the table. ...
c. A pattern of behavior considered acceptable or proper by a social group: violated the norms of his community. 2. Mathematics a. An average. b. The magnitude of a vector. c. The modulus of a complex number. tr.v. normed, norm·ing, norms 1. To establish or judge in reference...