What's logical symbol for "for some"? - Mathematics Stack Exchange
2015年7月30日 · I have an Algebraic Topology Professor that uses this symbol as "for some" equivalently to "there exist" with the symbol $\exists$, the only difference is that typically "there exist" is at the begining of a sentence and "for some" at the end. Usually "for some" is used to avoid editing the already written sentence on a whiteboard because is ...
Is there a mathematical symbol for "For every element"?
I still think the universal quantifier is the answer you are looking for. From the wording you use e.g. "loop" and "iteration", I infer that your confusion might be coming form the fact that in mathematics there are no variables only constants (here I using the …
Proper Use of Quantifier _ \\forall($\\forall$) \\for each \\for every
2017年5月15日 · Consider: $\forall_i \in \mathbb{R}$ in English, it would by odd to pronounce the universal quantifier as "for each" or "for every." "For each /every Real number" implies a sort of discrete aspect that is not a part of the Real numbers. Saying "for all", captures the continuous nature of the set in English more readily.
logic - Proper way to read $\forall$ - "for all" or "for every ...
Based on this I have to say that I find your idea of using for every when referring to "discrete" or countable sets and for all when referring to "continuous" or uncountable sets rather charming and insightful. However, as a matter of mathematical practice, in all my experience the terms are used absolutely interchangeably.
Difference between "for any" and "for all"? - Mathematics Stack …
Same ambiguity is in math, since math did not come from nothing, rather it is a notation system for the language. However: Some times "any" is used for the meaning of "any" and not "exist" or "all". For example, in the definition of the little o asymptotic notation we have:
elementary set theory - Symbolic predicate logic for "for all …
But probably not. To be more mathematical, "Every real number except $0$ has a multiplicative inverse." If by this sentence we mean in particular that $0$ doesn't have a multiplicative inverse, your translation does not do the job. If we mean to say nothing about $0$, it does. $\endgroup$ –
elementary set theory - What does the symbol $\forall$ mean ...
What does the symbol $\forall$ mean? I am sure this is an easy question, but it's not really conducive for googling because I don't know the name of the symbol. If you can just give me the name or a link where I can read about it that will probably be more than sufficient.
Symbols for "odd" and "even" - Mathematics Stack Exchange
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For all unique notation? - Mathematics Stack Exchange
The word "unique" means having a property that distinguishes it from all other things. In mathematics, this is meaningless if not followed by "such that" and the precise property that distinguishes it from everything else.
Math Symbol for "Where" - Mathematics Stack Exchange
In my opinion the less often a symbol is used where a few words can go, the better. That said, there are many places where symbols are useful and simplify matters. The word "where" can often be replaced with "such that", and corresponding to this we …