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Afzal
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4 votes

To check whether $(G,*)$ is a group or not if $a_i*a_j=\begin{cases} a_{i+j}, i+j<7\\a_{i+j-7},i+j\geq7\end{cases}$ and $G=\{a_0,a_1,\dots,a_6\}$.

3 votes

Prove that if x and y are real numbers, then max(x,y) + min(x,y) = x+y.

2 votes
Accepted

Proof method used by Tom Apostol in this theorem

1 vote

$f:S→S$ is bijective. and $S=\{1,2,3,4,5,6,7\}$ Then how can i get the number of $f?$

1 vote

How to solve: $\int{\frac{r}{\sqrt{a r^2 + b r + c}}}dr$

1 vote

Proof by induction that $(n-1)^3 + (n+1)^3$ is divisible by 4 for all $n \in \mathbb{N}^+$

0 votes

Let $G$ be finite and every nonidentity element have prime order. If $Z(G)\neq\{e\}$, prove that every nonidentity element of $G$ has the same order.

0 votes

exponent simplification as common factor

0 votes

Prove that $\vec{\nabla} r^n = n r^{n-2} \vec{\tilde{r}}$

0 votes

What do we mean by $\bigcup_{i\in I}^{} T_i$ where $T_i$ are sets?

0 votes

Mathematical Thinking & Logic Textbooks Recommendation