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2. Erdős–Straus conjecture - Wikipedia

   en.wikipedia.org/wiki/Erdős–Straus_conjecture

   As with fractions of the form , it has been conjectured that every fraction (for >) can be expressed as a sum of three positive unit fractions. A generalized version of the conjecture states that, for any positive k {\displaystyle k} , all but finitely many fractions k n {\displaystyle {\tfrac {k}{n}}} can be expressed as a sum of three ...

3. Rate (mathematics) - Wikipedia

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

   In mathematics, a rate is the quotient of two quantities, often represented as a fraction. [1] If the divisor (or fraction denominator) in the rate is equal to one expressed as a single unit, and if it is assumed that this quantity can be changed systematically (i.e., is an independent variable), then the dividend (the fraction numerator) of the rate expresses the corresponding rate of change ...

4. Unit fraction - Wikipedia

   en.wikipedia.org/wiki/Unit_fraction

   Slices of approximately 1/8 of a pizza. A unit fraction is a positive fraction with one as its numerator, 1/ n.It is the multiplicative inverse (reciprocal) of the denominator of the fraction, which must be a positive natural number.

5. Related rates - Wikipedia

   en.wikipedia.org/wiki/Related_rates

   The most common way to approach related rates problems is the following: [2] Identify the known variables, including rates of change and the rate of change that is to be found. (Drawing a picture or representation of the problem can help to keep everything in order)

6. Solving quadratic equations with continued fractions - Wikipedia

   en.wikipedia.org/wiki/Solving_quadratic...

   The rate of convergence depends on the absolute value of the ratio between the two roots: the farther that ratio is from unity, the more quickly the continued fraction converges. When the monic quadratic equation with real coefficients is of the form x 2 = c , the general solution described above is useless because division by zero is not well ...

7. Trump complains that US flags will be half-staff on his ...

   www.aol.com/news/trump-complains-us-flags-half...

   President-elect Donald Trump complained on Friday that American flags would still be lowered to half-staff in honor of the late President Jimmy Carter during Trump's Jan. 20 inauguration.

8. Square packing - Wikipedia

   en.wikipedia.org/wiki/Square_packing

   Square packing in a square is the problem of determining the maximum number of unit squares (squares of side length one) that can be packed inside a larger square of side length . If a {\displaystyle a} is an integer , the answer is a 2 , {\displaystyle a^{2},} but the precise – or even asymptotic – amount of unfilled space for an arbitrary ...

9. Testing forgotten rape kits could free the innocent. Here’s ...

   www.aol.com/testing-forgotten-rape-kits-could...

   Estimates of the rate of wrongful convictions in the United States vary widely. A 2021 article in the New Criminal Law Review evaluated numerous studies and determined the rate is likely between 3 ...