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Advanced Math True/False Quiz

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About this activity

Challenge PhD-level math statements.

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Mexico

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Advanced Math True/False Quiz
 

Advanced Math True/False QuizOnline version

Challenge PhD-level math statements.

by Isela Gonzalez
1

The Fundamental Theorem of Calculus connects differentiation and integration.

2

The improper integral ∫_{-1}^{1} 1/x dx converges.

3

Banach-Tarski paradox relies on the axiom of choice.

4

The binomial theorem holds only for integer exponents.

5

The sum of reciprocals of primes converges.

6

The Riemann Hypothesis concerns nontrivial zeros of the zeta function having real part 1/2.

7

The Riemann Hypothesis has been proven.

8

The determinant of a singular matrix is nonzero.

9

Navier–Stokes existence and smoothness in 3D is a Millennium Prize Problem.

10

Every continuous function on [0,1] is differentiable everywhere.

11

Euler's identity e^{iπ} + 1 = 0.

12

Cauchy-Riemann equations characterize holomorphic functions.

13

The set of real numbers is countable.

14

The Stone–von Neumann theorem classifies representations of the Heisenberg group.

15

L^2([0,1]) is infinite-dimensional.

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