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- summation - Sum of 1 + 1 2 - Mathematics Stack Exchange
summation; See similar questions with these tags Featured on Meta Thoughts on the future of Stack
- discrete mathematics - How do you write the summation of a summation . . .
I would use a matrix-notation I assume your original values are in a vector S, say $ S=[a,b,c,d] $ and then I'd express the transformation to the vector Q using the triangular matrix D with
- summation - The idea behind the sum of powers of 2 - Mathematics Stack . . .
I know that the sum of powers of $2$ is $2^{n+1}-1$, and I know the mathematical induction proof But does anyone know how $2^{n+1}-1$ comes up in the first place For example, sum of n numbers is
- calculus - First and second derivative of a summation - Mathematics . . .
Then the bracket itself is differentiated, producing the 2 at the front The 2nd step on line 1 involves no differentiation Instead, the bracket is split into two terms The second term has an n because it is simply the summation from i=1 to i=n of a constant The summation of a constant is equal to n multiplied by the constant
- summation - How to prove a formula for the sum of powers of $2$ by . . .
Proof is in the eye of the reader A way I like to teach inductive proofs is to back up the inductive hypothesis by one, put the next item in it, then see if you match the claimed formula
- algebra precalculus - Rules for Product and Summation Notation . . .
When we deal with summation notation, there are some useful computational shortcuts, e g : $$\\sum\\limits_{i=1}^{n} (2 + 3i) = \\sum\\limits_{i=1}^{n} 2 + \\sum
- What is the square of summation? - Mathematics Stack Exchange
What is the square of summation? Ask Question Asked 12 years, 3 months ago Modified 1 year, 9 months ago
- summation - How can I define $e^x$ as the value of infinite series . . .
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