Logs
Series-ly Sequences
Theorem Shmeorem
Calculate mate
Old Dead Dudes
100
log (xy) =
What is log(x)+log(y)
100
1 + x + x^2/2! + x^3/3! + x^4/4! + ... is the Taylor series expansion of what function?
What is e^x
100
Name the theorem: Any polynomial of degree n has n roots
What is fundamental theorem of algebra
100
i^21
What is i
100
First to prove there are infinitely many primes
Who is Euclid
200
Log 1 =
What is 0
200
1 - x^2/2! + x^4/4! - x^6/6! + ... is the Taylor series expansion of what function?
What is cos (x)
200
Name the theorem: If p is prime, then for any integer a, a^p=a(mod p)
What is Fermats little theorem.
200
234(mod10)
What is 4
200
discovered formulae for the volume and surface area of a sphere, and may even have been first to notice and prove the simple relationship between a circle's circumference and area
Who is Archimedes
300
log 10^x =
What is x
300
finish the sequence: 2187, 729, 243, 81, 27, ______
What is 9
300
Name the theorem: (x+y)^n = Σ nCk (x^k) (y^n-k) [for k=0 to infinity]
What is Binomial Theorem.
300
Sin(pi/4)
What is 1/sqrt(2)
300
practically founded Number Theory and discovered the fact that every natural number is the sum of three triangle numbers
Who is Fermat
400
d/dx [ln(x)]
What is 1/x
400
finish the sequence: 1, 3, 6, 10, 15, 21, 28, _____
What is 36
400
Name the theorem: for any complex number x and real number n [cos x + i sin x]^n = cos nx + i sin nx
What is de Moivre's Theorem
400
a=b(mod n) means that...
What is n|(a-b) or (a-b) is a multiple of n
400
Father of Calculus; he shares credit with Leibniz for the Fundamental Theorem of Calculus
Who is Isaac Newton
500
ln(0)
What is undefined
500
1 + x + x^2 + x^3 + x^4 + ... is the series expansion of what function
What is 1/(1+x)
500
Name the theorem: p is prime iff (p-1)! = -1 (mod p)
What is Wilson's theorem
500
5 C 0 [i.e. 5 choose 0]
What is 1
500
His most important contributions included convergence criteria for infinite series
Who is Cauchy
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