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1 Answer. Sorted by: 3. This is called a geometric distribution. The probability of getting through only the 1st obstacle is p(1 − p) p (1 − p). Getting through 2 obstacles and then failing is p2(1 − p) p 2 (1 − p). etc. You could theoretically play forever, there is no maximum score. The mean after many plays is 1−p p 1 − p p.
In LaTeX it is coded as \cong. ∼ ∼ is a similarity in geometry and can be used to show that two things are asymptotically equal (they become more equal as you increase a variable like n n). This is a weaker statement than the other two. In LaTeX it is coded as \sim. ≃ ≃ is more of a grab-bag of meaning.
Add a comment. 6. There are ways to calculate it, modulo is remainder counting basically. 7 = 2 mod 5 because 7 = 5 ∗ 1 + 2 12 = 2 mod5 because 12 = 5 ∗ 2 + 2 and so on, so if you want to calculate for example 73 = a mod 7 you can do this, that is want to get a, take 73 and continue subtracting 7 until you no longer can. 73 − 7 = 66, 66 ...
It offers a well structured approach from very basic mathematics all the way up to graduate level, with links to useful resources and books. Also, any university curriculum can be useful to see in what order university students study different subjects. An example is Cambridge (the famous mathematical tripos), where they have pdf's outlining ...
Find practical applications to related the math to real world things; If mathematics is your way: Now if you want to make mathematics your profession, you will need a different frame of mind. First i am neither a professional mathematician nor have i reached a level where i can say that i am thinking like one. Yet that is my goal too.
This notation means that you take the output of h h and use it as the input of f f. When we are working with a specific x x value, we can suggestively write f(h(x)) f (h (x)) instead. (f ∘ h)(x) = f(h(x)) = f(2 + 3x) = 1 2 + 3x. (f ∘ h) (x) = f (h (x)) = f (2 + 3 x) = 1 2 + 3 x. (Note: I only used z z as the variable for f f to avoid ...
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5 revs, 4 users 71%. CyberFonic. 5. Open Logic Project - is a collection of teaching materials on mathematical logic aimed at a non-mathematical audience, intended for use in advanced logic courses as taught in many philosophy departments. It is open-source: you can download the LaTeX code.
The Hat symbol can be used to denote a vector. And the Star symbol may possibly used to denote a binary operation. For example a non empty set G with a binary operation ⋆ is said to be a Group if..... Share. Cite. answered Mar 10, 2011 at 17:37. community wiki.