The principal value of a complex number {eq}z {/eq} is the value for {eq}\theta {/eq} that occurs within a predefined range of values, usually, but not always, {eq}(-\pi,\pi] {/eq}. The idea of the principal value is extended to areas in complex analysis where similar ...
The sum of principal arguments of complex numbers 1+i,−1+i√3,−√3−i,√3−i,i,−3i,2,−1is A11π12 B13π12 C12π13 Dπ15Submit Find the value of the principal argument of the complex number z=(1+1√3)2(1−i)3 View Solution Principal argument of complex number...
Step by step video, text & image solution for The principal argument of the complex number ((1 + i sqrt(3))^(2))/(4i(1 - i sqrt(3))) is by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams.Updated on:21/07/2023Class...
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I’ll assume that A is trained by gradient descent with backpropagation, but the same argument would apply to any local search. In backpropagation we inductively compute the derivative of our objective with respect to each parameter and intermediate result. We can effectively ignore some causal ...
The adjustment of task 2 is similar to the ‘rent versus efficiency’ argument found in the literature for the standard single-task moral hazard model where, to diminish the agent's informational rent, bonus B is reduced, which lowers effort in task 2 below its efficient level. Our ...
Since in this cost function the transformation matrix W is applied only to one argument of the distance function, our problem is no longer invariant to the action of the orthogonal group \(\mathbb {O}_p\). So, we must optimize this cost over the Stiefel manifold. Practically, for optimiza...
Principal Component Analysis (PCA) is a multivariate analysis that reduces the complexity of datasets while preserving data covariance. The outcome can be visualized on colorful scatterplots, ideally with only a minimal loss of information. PCA applicati
Find the argument and the principal value of the argument of the compl... 01:22 A complex number is given by z=(1+2i)/(1-(1-i)^(2)) What is the pri... 01:46 The principal argument of the complex number ((1 + i sqrt(3))^(2))/(4i... 04:25 Find the modulus and pr...