List questions from discrete-mathematics

Published on 02 Apr 2026 - 9:12

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Solve the recurrence relation $n(n-1)a_n - (n-2)^2a_{n-2}= 0$, $a_0=0$, $a_1=1$

Published on 29 Mar 2026 - 22:07

718

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Probability and counting bit string

Published on 10 Apr 2026 - 23:48

3.4k

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What is the probability of heads in unfair coin when you flip the coin ten times?

Published on 13 Apr 2026 - 0:44

583

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Counting question on bit strings - problem with using cases

Published on 10 Apr 2026 - 23:44

80

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Prove that $R$ is an equivalence relation on $F$.

Published on 14 Apr 2026 - 7:54

105

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there are at least $\frac{p+1}{2}$ integers $d$, with $0 \leq d < p$, so that the equation $x^3+x=d \pmod p$ has a root$\pmod p$

Published on 08 Apr 2026 - 4:17

1.4k

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Substitutions in Modular Arithmetic

Published on 11 Apr 2026 - 7:41

27

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operations on relations

Published on 11 Apr 2026 - 16:47

50

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Existence of $T$ such that $[(T\circ T)(f)](n)=f(n+1)$

Published on 25 Mar 2026 - 22:05

111

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Calculate $\sum_{k=0}^{n} \frac{(-1)^kk}{4k^2-1}$

Published on 02 Apr 2026 - 10:58

178

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Prove that $1^2 \cdot 3^2 \cdot 5^2\cdots (p-2)^2\equiv (-1)^{\frac{p+1}{2}} \pmod p$

Published on 25 Nov 2018 - 20:31

26

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Partial order question, is reflexivity implied

Published on 14 Apr 2026 - 7:35

88

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Cardinality of $A_k$ = {$a_i | a_i < a_k, i > k$} and $B_k$ = {$a_i | a_i > a_k, i<k$}

Published on 14 Apr 2026 - 2:34

366

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Divisors of $-1$ are only $1$ and $-1$?

Published on 12 Apr 2026 - 23:20

List Question

Evaluating double sums with related indices

Solve the recurrence relation $n(n-1)a_n - (n-2)^2a_{n-2}= 0$, $a_0=0$, $a_1=1$

Probability and counting bit string

What is the probability of heads in unfair coin when you flip the coin ten times?

Counting question on bit strings - problem with using cases

Prove that $R$ is an equivalence relation on $F$.

there are at least $\frac{p+1}{2}$ integers $d$, with $0 \leq d < p$, so that the equation $x^3+x=d \pmod p$ has a root$\pmod p$

Substitutions in Modular Arithmetic

operations on relations

Existence of $T$ such that $[(T\circ T)(f)](n)=f(n+1)$

Calculate $\sum_{k=0}^{n} \frac{(-1)^kk}{4k^2-1}$

Prove that $1^2 \cdot 3^2 \cdot 5^2\cdots (p-2)^2\equiv (-1)^{\frac{p+1}{2}} \pmod p$

Partial order question, is reflexivity implied

Cardinality of $A_k$ = {$a_i | a_i < a_k, i > k$} and $B_k$ = {$a_i | a_i > a_k, i<k$}

Divisors of $-1$ are only $1$ and $-1$?

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