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What is the general form of this recurrence formula?

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#discrete-mathematics #recurrence-relations #recursion #recursive-algorithms
230
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Given recursive formula $a_n = 2a_{n-1}+1$, show $a_n = 2^n -1$

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#discrete-mathematics #induction #recurrence-relations #recursion #analysis-of-algorithms
526
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Provide a closed formula based on the generating function $\frac{x}{1+x+x^2}$

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#combinatorics #discrete-mathematics #recurrence-relations #generating-functions #recursion
62
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Solution of this recursion $a_n = a_{n-2}+8n+2$

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#solution-verification #recursion
68
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Find the $LU$ decomposition of a Laplacian like matrix.

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#linear-algebra #matrices #determinant #recursion #lu-decomposition
55
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Show that the Matrix sequence $M_k = I + \int_{t_0}^t A(s) M_{k-1} ds$ converges uniformly.

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#real-analysis #sequences-and-series #matrices #matrix-calculus #recursion
114
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Number of permutations such that each number is either greater than all the numbers to its left or less than all the numbers to its right.

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#combinatorics #permutations #recurrence-relations #recursion #combinatorial-proofs
49
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What is the pattern and the solution to this system of equations?

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#linear-algebra #algorithms #systems-of-equations #recursion #recursive-algorithms
180
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Finding fast way to compute this

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#algorithms #recursion
50
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Group photo recursion

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#combinatorics #recursion
57
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Divide and conquer algorithm problem applied to an n x n-matrix of n players competing in a chess tournament

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#algorithms #recursion #recursive-algorithms
58
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Non recursive provably total functions

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#number-theory #first-order-logic #recursion #computability #peano-axioms
30
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Question about explicit formula of recursive equation

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#recursion
65
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finding $a,b$ such that the equation $\frac{a}{x} = \cosh{\frac{b}{x}}$ only has one solution

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#optimization #numerical-methods #approximation #recursion #numerical-calculus
46
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Finding the primitive recursive characterstic function of a set

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#logic #first-order-logic #recursion #computability #formal-languages

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