Untitled Quiz

What is logical reasoning used for in mathematics?

• To solve a multitude of problems

• To draw conclusions from experiments

• To verify the correctness of programs

• To prove theorems

What is the negation of a proposition?

• It is not the case that

• It is false that

• It is true that

• It is maybe that

When is the conjunction of two propositions true?

• When both propositions are false

• When neither proposition is true

• When both propositions are true

• When at least one proposition is true

What is the truth value of a conditional statement if the hypothesis is true and the conclusion is false?

• Depends on the context

• Unknown

• False

• True

What is a tautology?

• A statement that is always true

• A statement that is always false

• A statement that is sometimes true

• A statement that is sometimes false

What does fuzzy logic help computers evaluate?

• Vague concepts

• Common-sense pictures of an uncertain world

• Precise instructions

• Random variables

What is a random variable?

• A variable that is not defined

• A variable that changes randomly

• A variable that is always the same

• A rule that assigns a number to each outcome of an experiment

What is the Chinese remainder theorem about?

• Roots of polynomials

• Division of integers

• One-to-one correspondence

• Linear combinations of logarithms

What is the Six Exponentials Theorem related to?

• Transcendence of exponentials

• Convergent power series

• Algebraic numbers

• Pentagonal numbers

What is the study of sometimes subtle and far-reaching relationships in number theory called?

• Analytic Number Theory

• Baker's Theorem

• Algebraic Number Theory

• Higher Arithmetic