A Deriving Expression for Differentiation and Summation in Special Case

Click For Summary
The discussion focuses on deriving an expression for differentiation and summation in a specific case involving algebraic operations and the geometric series formula. The user seeks guidance on whether their approach is correct and how to proceed further. The geometric series formula is highlighted, particularly in the context of the variable k defined as e^{-jπ(2n/N-1)}. The next step involves deriving the expression with respect to the variable χ. This conversation emphasizes the importance of proper mathematical derivation in the context of differentiation and summation.
mahmud_dbm
Messages
17
Reaction score
0
Dear Friends

So, i have this special case where i have to do a differentiation and summation.
Please check the following.

upload_2016-12-27_1-2-7-png.110813.png


Is it okay ?? Or, i how should i proceed with this ?
 
Mathematics news on Phys.org
ok, what you did in the bracket were algebraic operations and the use of the formula for geometric series ##\sum_{k=0}^{N-1}t^{k}=\frac{t^{N}-1}{t-1}## where ##k=e^{-j\pi(2n/N-1)}##, now you must derive the expression respect ##\chi## ...
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
View full post »

Similar threads

I How Can Nested Summation Functions Be Simplified or Reversed?
  • · Replies 6 ·
Replies
6
Views
2K
B A summation that "feeds back into itself"
  • · Replies 1 ·
Replies
1
Views
1K
I Classifying Series Summation $$ \sum_{i=0}^{n} 2^{2^i} ~ ?$$
  • · Replies 3 ·
Replies
3
Views
1K
Newtons Divided Difference First Derivative
  • · Replies 3 ·
Replies
3
Views
1K
I Manipulate this summation with Exp
  • · Replies 9 ·
Replies
9
Views
1K
I Change of variables clarification
  • · Replies 5 ·
Replies
5
Views
2K
I Why is Griffiths Treating the Summation Like This?
  • · Replies 4 ·
Replies
4
Views
677
Maximizing Summation of F_t*R: Partial Derivative w.r.t R
  • · Replies 1 ·
Replies
1
Views
1K
MHB Basic symbology for involving a series but without summation necessarily
  • · Replies 1 ·
Replies
1
Views
2K
I Why did I lose 60% on my proof of Generalized Vandermonde's Identity?
  • · Replies 3 ·
Replies
3
Views
1K