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Science Quiz
/ Mathematician by Formula
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Can you name the Mathematicians given their most famous formulae?
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Ossy
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Note on syntax: ^ denotes superscripts (eg x^2 is x squared) and _ denotes subscripts (eg y_1 is y sub 1)
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Beaded Mammals
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Formula
Name
Theorem name
a^2 + b^2 = c^2
Pythagorean Theorem
e^(i*pi) + 1 = 0
Euler's Identity
f(x) = f(0) + f'(0)*x + f''(x) * x^2/2! + ... + f^(n)(0) * x^n /n!
Maclaurin Series
f(x) = f(a) + f'(a)*(x-a) + f''(x) * (x-a)^2/2! + ... + f^(n)(a) * (x-a)^n/n!
Taylor Series
If lim_(x-->a) f(x)/g(x) is indeterminate, lim_(x-->a) f(x)/g(x) = lim_(x-->a) f'(x)/g'(x)
l'Hôpital's Rule
x^n + y^n = z^n has no positive integer solutions for x,y, and z for n is an integer > 2
Fermat's Last Theorem
The real part of any non-trivial zero of ζ(s) is 1/2.
The Riemann Hypothesis
R_n(x) = (f^(n+1)(z)*(x-a)^(n+1))/(n+1)!
Lagrange Error Bound
1/2 + 1/4 + 1/8 + ... + (1/2)^n = 1
The Dichotomy Paradox
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