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- To distinguish means to recognize or understand the difference between two people or things12. It can be used in two ways:
- Distinguish between A and B: used for alike things, e.g. "At what age are children able to distinguish between right and wrong?"1.
- Distinguish A from B: used for different things, e.g. "He's colour-blind and can't distinguish (the difference) between red and green easily"23.provides a similar explanation, but with different examples.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.[intransitive, transitive] to recognize the difference between two people or things synonym differentiate distinguish between A and B At what age are children able to distinguish between right and wrong? English law clearly distinguishes between murder and manslaughter. distinguish A from B It was hard to distinguish one twin from the other.www.oxfordlearnersdictionaries.com/definition/engli…to notice or understand the difference between two things, or to make one person or thing seem different from another: He's colour-blind and can't distinguish (the difference) between red and green easily.dictionary.cambridge.org/dictionary/english/distingu…Distinguish A FROM B is used for different things, e.g. "I can distinguish apples from oranges " or "I can distinguish painting from photograph ", whereas Distinguish BETWEEN A AND B is used for alike things, e.g.www.beatthegmat.com/distinguish-a-from-b-vs-disti… notation - What's the difference between ]a,b [ and (a,b ...
Jan 27, 2014 · There is no difference. They both refer to "the open interval from $a$ to $b$." The "advantage" of using $]a,b[$ is that it can't be mistaken for an ordered pair.
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formal proofs - Proving Symmetric Difference of A and B
Feb 3, 2019 · If $x\in (A\cup B)- (A\cap B)$ then $x\in A\cup B)$ and $x\notin A\cap B$. That means x is in either A or B but not both. Case 1: Suppose x is in A but not in B.
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- Question & Answer
What does the set notation $A\\setminus B$ mean?
Jul 29, 2017 · If $A$ and $B$ are two sets. What does the notation $A\setminus B$ denote for? I found this notation in the inclusion and exclusion principle.
Set Addition vs. Set Union - Mathematics Stack Exchange
Feb 1, 2014 · Given two sets $A$ and $B$, what is the difference between $A + B$ and $A \cup B$? For example, if $A = \left\{ a, b, c \right\}$ and $B = \left\{ d, e, f \right\}$, what are $A + B$ …
elementary set theory - Let A and B be sets. Prove A=B implies …
May 26, 2020 · In order to prove the foregoing statement we use the next lemma: For a set $A, A = A$. Let $A$ and $B$ be a couple of sets. Assume that $A = B$. Notice we must show that …
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Use Algebric proof to prove the following set A-(A-B) = A ∩ B
Apr 9, 2018 · I know we have to use the following rule $A-B = A ∩ B^c$ which is set $B$'s complement known as the set difference law. Do I have everything necessary to solve this …
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elementary set theory - Prove that if sets $A$ and $B$ are …
Dec 21, 2014 · If A and B are countable that you can numerate them. $A=\{a_1,a_2,...\}$ and $B=\{b_1,b_2,...\}$. So this means that you can numerate $A\cup B =\{a_1,b_1,a_2,b_2,...\}$. …
What can be understood by $A-B = B-A$ in set theory?
Aug 23, 2017 · The above picture (sourced from Wikipedia) shows that $A \cup B$ can be divided into three regions: $A - B$ (the bit purely in orange), $A \cap B$ (the bit that's orange and …
Show the intersection of $A$ and $B$ and the relative …
May 29, 2021 · The intersection of $A$ and $B$ contains elements that are in both $A$ and $B$ {$x$: $x \in A$ and $x\in B$} - The Venn Diagram of such a set would have only the …
logic - Difference between if A, then B, and A and B
Feb 3, 2019 · $$\forall x\in A: P(x)\iff \forall x~(x\in A\to P(x))\\\exists y\in B: Q(y)\iff \exists y~(y\in B\land Q(y))$$ You want to say "For every person there exists a person, who is their …
elementary set theory - $A \in B$ vs. $A \subset B$ for proofs ...
Sep 11, 2015 · To answer directly the question, the main difference, from a logical point of view, is that, while $(A\in B)\wedge(B\in C)\Rightarrow (A\in C)$ involves individual elements-sets, …
elementary set theory - Why is A union B also called "A or B ...
May 28, 2019 · In set theory, a union is a combination of all of the elements in sets A and B. Considering that it is a combination of both sets A and B, then we can place it with the word, …
absolute value - Prove that $||a|-|b||$ is smaller or equal to $|a-b ...
Jun 2, 2016 · The "basic idea" is that $||a| - |b||$ is a positive difference of terms and $|a - b|$ is either an equal positive difference of terms (if $a$ and $b$ are the same sign), or (if $a$ and …
confusion between "a|b" (OR SYMBOL between letters) and "a/b" …
We can think $b|a$ as a boolean expression, i.e., it is a statement with a truth value (it is either TRUE or FALSE) whereas $b/a$ is an arithmetic operation which has a number value (when …
What is the difference between $p(a,b)$ and $p(a|b)$?
$p(a,b)$ = the probability that event $a$ and $b$ happen at the same time. $p(a|b)$ = the probability that event $a$ happens due to the event $b$ happens. For me, I think the meaning …
Showing that (A⊕B)⊕B is equal to A - Mathematics Stack Exchange
Jan 18, 2019 · $b = B\setminus A$ (or: $B \cap A^C$) $c = A \cap B$ Also, you say that $a$ and $c$ are disjoint, and that $a$ and $b$ are disjoint, but you also want that $b$ and $b$ are …
logic - Proof: ( (A or B) and (A or ~C) and (~B or ~C)) <=> ( (A or …
Oct 2, 2013 · For this, note that $(X \vee \neg Y)$ is equivalent to the sentence $(Y \rightarrow X)$; then the problem to prove is equivalent to $(B \rightarrow \neg A) \wedge (C \rightarrow …
What does it mean to say "a divides b" - Mathematics Stack …
Jun 24, 2016 · $\begingroup$ "a divides b" means a and b are integers and there is an integer n, such that n x a = b; or, if you prefer $b/a \in \mathbb Z$, or if you prefer "a divides into b evenly …
For vectors A and B, why is (A dot nabla)B treated differently from …
May 3, 2019 · The above also answers why the first term is not equal to the third term in your example; as for $\mathbf A(\nabla \cdot \mathbf B)$ and $(\mathbf A \cdot \nabla)\mathbf B$: …
Difference between $⊂$ and $⊆$? - Mathematics Stack Exchange
Oct 3, 2018 · $A \subseteq B$ means that $A$ is a subset of $B$ (in other words, every element of $A$ is an element of $B$). $A \subset B$ means that $A$ is a proper subset of $B$ (every …
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