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  2. Proportion (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Proportion_(mathematics)

    A proportion is a mathematical statement expressing equality of two ratios. [1] [2]: =: a and d are called extremes, b and c are called means. Proportion can be written as =, where ratios are expressed as fractions.

  3. Method of exhaustion - Wikipedia

    en.wikipedia.org/wiki/Method_of_exhaustion

    The development of analytical geometry and rigorous integral calculus in the 17th-19th centuries subsumed the method of exhaustion so that it is no longer explicitly used to solve problems. An important alternative approach was Cavalieri's principle , also termed the method of indivisibles which eventually evolved into the infinitesimal ...

  4. St. Petersburg paradox - Wikipedia

    en.wikipedia.org/wiki/St._Petersburg_paradox

    the mathematicians estimate money in proportion to its quantity, and men of good sense in proportion to the usage that they may make of it. He demonstrated in a letter to Nicolas Bernoulli [7] that a square root function describing the diminishing marginal benefit of gains can resolve the problem. However, unlike Daniel Bernoulli, he did not ...

  5. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    Here’s another problem that’s very easy to write, but hard to solve. All you need to recall is the definition of rational numbers. Rational numbers can be written in the form p/q, where p and ...

  6. Percentage - Wikipedia

    en.wikipedia.org/wiki/Percentage

    The percent value is computed by multiplying the numeric value of the ratio by 100. For example, to find 50 apples as a percentage of 1,250 apples, one first computes the ratio ⁠ 50 / 1250 ⁠ = 0.04, and then multiplies by 100 to obtain 4%. The percent value can also be found by multiplying first instead of later, so in this example, the 50 ...

  7. Cross-multiplication - Wikipedia

    en.wikipedia.org/wiki/Cross-multiplication

    where x is a variable we are interested in solving for, we can use cross-multiplication to determine that x = b c d . {\displaystyle x={\frac {bc}{d}}.} For example, suppose we want to know how far a car will travel in 7 hours, if we know that its speed is constant and that it already travelled 90 miles in the last 3 hours.

  8. Richard Rusczyk - Wikipedia

    en.wikipedia.org/wiki/Richard_Rusczyk

    These include real-time competitions to solve math problems and online tools to learn how to solve problems with increasing difficulty as well as math forums. As of November 28, 2023, there have been 1,019,175 students, 1,691,990 topics, and a total of 20,528,472 posts on the site.

  9. NYT ‘Connections’ Hints and Answers Today, Saturday, December 14

    www.aol.com/nyt-connections-hints-answers-today...

    If you've been having trouble with any of the connections or words in Saturday's puzzle, you're not alone and these hints should definitely help you out. Plus, I'll reveal the answers further down