I have encountered this when referencing subsets and vector subspaces. For example, T ⊊ span(S) should mean that T is smaller than span(S)--at least from what I've gathered. Is ⊊ a sort of ≤ or <...
What do the less-than and greater-than symbols right next to each other mean? Does it mean either less than or greater than? In other words, not equal? I am trying to understand a book that says th...
Since your professor was referring to engineering students, then it's likely they were referring to the identity symbol, which is used in an expression to mean the left and right hand sides are true for all values. So $\cos^2\theta +\sin^2\theta \equiv 1 $ since it's true for all $\theta$ whereas $\cos\theta = 1$ since it's true only for some.
I was reading a paper about well-orderings and this came up: Suppose (E, ≤) and (F, ≼) are isomorphic well-orderings. Then there exists a unique isomorphism for (E, ≤) to (F, ≼). I've been scouri...
Whats the meaning of this symbol? Its a three dot symbol: ∴ I read a book, im could not find any definition of this symbol. This is about continuum property of the natural numbers and the archimed...
In summary: The interplay of meaning and axiomatic machine mathematics, captured by the difference between $\models$ and $\vdash$, is a subtle and interesting thing.
It seems like perpendicular and normal would not have a nice meaning whereas orthogonal would as it is defined in terms of the dot product. Can someone give me a detailed breakdown as to the differences in their meanings, their uses and the situations for which each should be used?
Below is a list that tries to be exhaustive about the usage of square brackets. I tried to arrange them so that more common usages come first. Maybe such a list can never be complete, but are ther...
I am not a native English speaker nor have I studied Physics in English before. I came across this word "Arbitrary" when I read a Mathematics for Physics book. I don't understand what it means. Her...
