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Is it possible to prove this version of recursion theorem from the simpler one?

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#elementary-set-theory #recurrence-relations #recursion
116
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Induction with a recursive sequence

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#real-analysis #sequences-and-series #induction #recursion #geometric-progressions
29
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Presume that $α_1$ and $α_2$ are solutions to the quadratic function, prove that $α_1^n$ and $α_2^n$ fulfill the recursive formula

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#recursion
186
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Prove by the Principle of Recursion

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#real-analysis #proof-writing #recursion #integers #python
1.2k
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Use recursion to prove the bounds of the Fibonacci numbers when $n\geq 2$

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#recurrence-relations #recursion #fibonacci-numbers #upper-lower-bounds #python
63
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Generation of a constant term is observed

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#computer-science #recursion #recursive-algorithms
233
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Methods to approximate $f(x) = \sin(x + f(x))$

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#approximation #recursion #recursive-algorithms
2k
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How many lattice paths are there from $(0,0)$ to $(2n,2n)$ that avoids odd points

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#combinatorics #discrete-mathematics #recursion
98
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Does Nim function for take-a-prime game is bounded?

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#sequences-and-series #recreational-mathematics #recursion
1.2k
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Tower of Hanoi with 4 Towers

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#recurrence-relations #recursion
84
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If $y=\mathrm{e}^x\big(a\sin x+b\cos x\big)$, then express $y^{(n)}$ in terms of $y$ and $y'$.

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#real-analysis #sequences-and-series #ordinary-differential-equations #recurrence-relations #recursion
3.2k
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Ackermann function proof by Induction

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#discrete-mathematics #induction #recursion #ackermann-function
127
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What does it mean to "seed" a recurrence relation?

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#recurrence-relations #terminology #recursion
42
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Find the order of the function(recurrence)

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#recurrence-relations #asymptotics #recursion
76
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Recurrence relations for a substring that contains 0000 and for partioning an integer

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#discrete-mathematics #recurrence-relations #recursion

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