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  • What operation is $\\circ$? - Mathematics Stack Exchange
    ∘ is exactly the operation given by the table, no more, no less It is not addition mod 4, or multiplication mod 4, or anything familiar like that The only question is whether it is a group operation So find out whether it has an identity (this should be pretty quick), and determine what that identity element is Then find out whether each element has an inverse—that is, a corresponding
  • Is there a circle symbol? - TeX - LaTeX Stack Exchange
    Probably this is a good chance to recall the Detexify website, where you can simply draw the symbol you want, and obtain the needed code I'm a bad illustrator, but for me, after drawing the circle, \circ was the first hit
  • trigonometry - How to find the exact value of $ \cos (36^\circ . . .
    BEGIN QUOTE: Ptolemy used geometric reasoning based on Proposition 10 of Book XIII of Euclid's Elements to find the chords of 72∘ 72 ∘ and 36∘ 36 ∘ That Proposition states that if an equilateral pentagon is inscribed in a circle, then the area of the square on the side of the pentagon equals the sum of the areas of the squares on the sides of the hexagon and the decagon inscribed in
  • What is the $\\circ$ symbol in Graph Theory - Mathematics Stack Exchange
    I have come across the following formula in Graph Theory and am trying to decipher what it means f(x ∘ y) = f(x) ∘ f(y) f (x ∘ y) = f (x) ∘ f (y) It is fairly simple but I have received a number of conflicting definitions of the " ∘ ∘ " symbol which is making it hard to interpret In some cases people where using this to represent contraction, some to represent relation, etc The
  • Prove that $(A \\cap B)^\\circ = A^\\circ \\cap B^\\circ$
    One definition of A∘ A ∘ is the largest open set contained in A A Using this definition, you can note that A∘ ∩B∘ A ∘ ∩ B ∘ is an open set contained in A ∩ B A ∩ B The other direction is similar but note that A∘ ∩B∘ A ∘ ∩ B ∘ is an open set contained in both A A and B B
  • Trigonometric ratios for angles greater than $90^\\circ$?
    The trigonometric ratios of an angle greater than $90^\\circ$ are equal to the supplementary angle's ratios I'm just clarifying this, but the ratios don't actually exist for angles greater than $90^\\
  • pi - Is $180^\circ = 3. 14. . $? Correlating the circumference and . . .
    I'm trying to correlate $\\pi$ to the circumference and diameter of a unit circle Consider a unit circle and represent it in terms of an n-gon Join each vertex to its center The angle subtended i
  • Automatically replacing \º with $^\circ$ - LaTeX Stack Exchange
    I don't like the º-symbol, that LateX is typesetting, because it has this strange underline So I wanted to make a new-command, that's replacing \\º with $^\\circ$ and i tried to define it like thi
  • Is $\\pi$ equal to $180^\\circ$? - Mathematics Stack Exchange
    in which case yes, 180∘ 180 ∘ literally equals π π Leox's answer is probably a little more correct though Addendum After a bit of thought, I've changed my mind slightly; I no longer think that Leox's answer is correct anymore To summarize my current beliefs about the issue: π π literally equals 180∘ 180 ∘, both are unitless (as others have argued), and neither degrees nor
  • How to prove $(f \\circ\\ g) ^{-1} = g^{-1} \\circ\\ f^{-1}$? (inverse . . .
    Please provide additional context, which ideally explains why the question is relevant to you and our community Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc





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