Math
If a and b are positive integers, then a + b is also a positive integer.
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This theorem states that if a and b are positive integers, then their sum a + b is also a positive integer. This is true because both a and b are positive, so their sum must be positive as well.
Prove that if n^2 is even, then n is even.
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The given statement is true. If n^2 is even, then n is even.
A proof that 0.999... = 1
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The proof that 0.999... = 1 is elementary, using just the mathematical tools of comparison and addition of (finite) decimal numbers.
Euler's formula
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The Euler's formula states that for any convex polyhedron, the number of vertices and faces together is exactly two more than the number of edges. This can be proven using the Noah's Ark method, which states that if you have a convex polyhedron with V vertices, E edges, and F faces, then V - E + F = 2.
Euler's Formula for Convex Polyhedra
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The Euler formula states that for any convex polyhedron, the number of vertices and faces together is exactly two more than the number of edges. This can be seen by looking at a tetrahedron, which has four vertices, four faces, and six edges.
Proof that square root of 2 is irrational.
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The Pythagorean Theorem states that the length of the diagonal of a square is equal to the square root of 2. This proof shows that the square root of 2 is irrational.
Find the largest number in a list of integers
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This puzzle asks you to write a function that takes in a list of integers and outputs the largest number in the list.
Find the two numbers in the list with the greatest product
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Given a list of numbers, find the two numbers with the greatest product and return that product.
