OrientalWiz's Math Quiz! by OrientalWiz

Champion(s):

Shanth


Runner(s)-Up:

DixonD
Satan, oscillate my metallic sonatas.


Quiz Description

How about some mathematics for a Wednesday!

Full Results:

Rank Player Total %ile 1 2 3 4 5 6 7 8 9 10
Money Value (% Incorrect): 79 93 99 93 72 58 22 43 50 72
1 Shanth 410 96 30
79
30
93
00
00
30
30
58
30
30
00
00
2 DixonD 360 89 00
00
00
00
30
30
58
30
30
30
50
30
72
3 RalliP 359 82 30
79
00
00
00
00
30
58
00
30
30
30
72
4 DreyfusB 337 75 00
00
00
00
30
72
30
00
30
43
30
30
72
5 Eponine 330 67 30
79
00
00
00
00
30
58
30
30
43
30
00
6 GrahamJ 280 60 00
00
00
00
00
00
30
58
30
30
30
30
72
7 VenguswamyK 205 53 00
00
00
00
00
00
30
22
30
43
30
50
00
8 orwant 192 46 00
00
00
00
30
00
30
22
30
30
50
00
00
9 Mudrak 175 39 00
00
00
00
30
93
00
00
30
22
00
00
00
10 PipkeR 52 21 00
00
00
00
00
00
00
30
22
00
00
00
00
10 SokolM 52 21 00
00
00
00
00
00
00
30
22
00
00
00
00
10 DouglasLovesVixey 52 21 00
00
00
00
00
00
00
30
22
00
00
00
00
10 ArunH 52 21 00
00
00
00
00
00
30
22
00
00
00
00
00
14 BlomE 0 3 00
00
00
00
00
00
00
00
00
00
00
00
00

Questions:

Let's start with a Putnam Problem: Start with a sphere, and choose 4 points on the surface of said sphere. What is the probability that the tetrahedron formed by connecting the 4 points as vertices contains the center of the sphere?

Click to Reveal Answer
1/8

The Bessel Differential equation is very useful in the fields of cylindrical mechanics and fluid flow. However, the Bessel Equation comes from a more general class of differential equations whose solutions are named for which mathematician? He was known for his contributions to elliptic theory along with the first proof of the famous Cayley-Hamilton theorem.

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Ferdinand Georg Frobenius

Anyone who knows anything about multivariable calculus knows about partial differentials. What is the name of the method where the two second order partial differentials are set equal to each other?

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Exact Equations

Who said the following: "We know the truth, not only by the reason, but also by the heart."

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Pascal

Special Relativity has many implications on our understanding of the universe today. Who is the namesake of the "factor" most commonly used in special relativity?

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Lorentz

One of the most bizarre results that can be proven and, in fact, is used in physics, is that 1+2+3+4+5... is equal to what fraction?

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-1/12

Which ancient Egyptian unit of measurement was set as the distance between the elbow and the tip of the middle finger?

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Cubit

The famous Sacchari-Legendre theorem states that the sum of all the angles in a triangle is at most 180 degrees. Two answers are needed: First, this theorem applies with the inclusion of all of Euclid's axioms with the exception of which one? Second, when a triangle exists with the sum of its angles less than 180, what geometry is that triangle in?

Click to Reveal Answer
The Parallel Postulate(5th), Hyperbolic Geometry

I assume that all of you are familiar with the Fibonacci series that starts: 1,1,2,3,5,8,13... with each number being the sum of the two previous. What is the limit of the ratios of successive terms of this sequence?

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The Golden Ratio, (1+sqrt(5))/2

Anyone familiar with calculus knows that the exponential function is the only function such that its derivative is itself. Name two functions such that its second derivative is itself(other than Ce^x).

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cosh, sinh