chrismilson

Time to fall double distance

$a' = 0$

$v' = a$, $v_0 = 0$, so $v(t) = at$

$d' = v$, $d_0 = 0$, so $d(t) = \frac{at^2}{2}$

rearrange $t$ to subject: $t(d) = \sqrt\frac{2d}{a}$

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/**
 * Constructs tuples of `never` of length 2^K for all 0 ≤ K and 2^(K - 1) ≤ N.
 * The tuples are in decreasing order by their lengths.
 *
 * The placeholder type `never` is chosen because it lets us test the length, as
 * opposed to a generic type, which may be extended by undefined, and give us
 * unexpected results.
 *
 * This type should not be used directly; it is a support type for Tuple.
 *

chrismilson

export type Iterableify<T> = { [K in keyof T]: Iterable<T[K]> }

/**
 * Iterates over multiple iterable objects in parallel.
 *
 * Stops iteration when any of the iterators is done.
 */
export function* zip<T extends Array<any>>(
  ...toZip: Iterableify<T>
): Generator<T> {

chrismilson

This is the ninteenth puzzle in Matt Parker's Matt Parker's Maths Puzzles puzzle series

The 19 Challenge

If you sum of the squares of the first 19 primes you get a multiple of 19.

Find another number n that has the property that the sum of the squares of the first n primes is a multiple of n.

Solution

chrismilson

This is the eighteenth puzzle in Matt Parker's Matt Parker's Maths Puzzles puzzle series

The Car and the Diamond

A contestant is on a game show with five different prizes:

• A car;
• A diamond;
• A goat;
• A jar of bogeys; and,