Question

Let $A = \mathbb{R} \times \mathbb{R}$, and the operation $* : A \times A \rightarrow A$ on $A$. Check if associative, commutative, identity, inverse.

score 276 · Answer 1 · 2026-03-25 19:10:09

276

Views

Let $A = \mathbb{R} \times \mathbb{R}$, and the operation $* : A \times A \rightarrow A$ on $A$. Check if associative, commutative, identity, inverse.

Published on 25 Mar 2026 - 19:10

score 1k · Answer 2 · 2017-02-16 02:23:37

1k

Views

Binary Operation Intersection Proof

Published on 16 Feb 2017 - 2:23

score 559 · Answer 3 · 2026-03-25 16:02:27

559

Views

How to prove associativity of $a*b$?

Published on 25 Mar 2026 - 16:02

score 235 · Answer 4 · 2017-02-27 02:11:19

235

Views

Closed under an operation which is not well-defined?

Published on 27 Feb 2017 - 2:11

score 5.4k · Answer 5 · 2017-03-02 03:02:43

5.4k

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Where do we place the decimal point due to a binary multiplication of two decimal binary numbers?

Published on 02 Mar 2017 - 3:02

score 6.3k · Answer 6 · 2017-03-02 07:53:42

6.3k

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How was the 10's complement calculated for the signed numbers below?

Published on 02 Mar 2017 - 7:53

score 59 · Answer 7 · 2017-03-03 05:06:25

59

Views

Can we define a $\cdot$ operation such as every abelian group (V,+) and every commutative field (K,+,$\cdot$) form a vector space

Published on 03 Mar 2017 - 5:06

score 480 · Answer 8 · 2026-03-25 17:45:37

480

Views

Prove that $\star=min(a,b+2)$ is associative

Published on 25 Mar 2026 - 17:45

score 810 · Answer 9 · 2017-03-07 10:18:20

810

Views

Why is `modulo` operation used to convert from floating 64 bit to two's complement 8 bit

Published on 07 Mar 2017 - 10:18

score 681 · Answer 10 · 2026-03-25 17:40:30

681

Views

Define the binary operation $\bigtriangleup$ on $P(A)$ by $X \triangle Y = (X-Y) \cup (Y-X)$.Prove $\langle P(A), \triangle\rangle$ is group.

Published on 25 Mar 2026 - 17:40

score 72 · Answer 11 · 2017-03-15 18:45:55

72

Views

Multiplication on three elements in a binary operation

Published on 15 Mar 2017 - 18:45

score 55 · Answer 12 · 2017-03-17 04:35:07

55

Views

Should the inequality operators $>$ and $<$ be defined between positive and negative integers?

Published on 17 Mar 2017 - 4:35

score 1.1k · Answer 13 · 2017-03-20 11:31:28

1.1k

Views

Notation for juxtaposition operation on matrices

Published on 20 Mar 2017 - 11:31

score 129 · Answer 14 · 2017-03-29 22:13:42

129

Views

Binary classification vs. logistic regression

Published on 29 Mar 2017 - 22:13

score 150 · Answer 15 · 2026-02-23 06:38:10

150

Views

Operation satysfaying b(ba)=a=(ab)b for all a and b must be commutative

Published on 23 Feb 2026 - 6:38

List Question

Let $A = \mathbb{R} \times \mathbb{R}$, and the operation $* : A \times A \rightarrow A$ on $A$. Check if associative, commutative, identity, inverse.

Binary Operation Intersection Proof

How to prove associativity of $a*b$?

Closed under an operation which is not well-defined?

Where do we place the decimal point due to a binary multiplication of two decimal binary numbers?

How was the 10's complement calculated for the signed numbers below?

Can we define a $\cdot$ operation such as every abelian group (V,+) and every commutative field (K,+,$\cdot$) form a vector space

Prove that $\star=min(a,b+2)$ is associative

Why is `modulo` operation used to convert from floating 64 bit to two's complement 8 bit

Define the binary operation $\bigtriangleup$ on $P(A)$ by $X \triangle Y = (X-Y) \cup (Y-X)$.Prove $\langle P(A), \triangle\rangle$ is group.

Multiplication on three elements in a binary operation

Should the inequality operators $>$ and $<$ be defined between positive and negative integers?

Notation for juxtaposition operation on matrices

Binary classification vs. logistic regression

Operation satysfaying b(ba)=a=(ab)b for all a and b must be commutative

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