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2. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   (For example, two-fifths is the fraction ⁠ 2 / 5 ⁠ and two fifths is the same fraction understood as 2 instances of ⁠ 1 / 5 ⁠.) Fractions should always be hyphenated when used as adjectives. Alternatively, a fraction may be described by reading it out as the numerator over the denominator, with the denominator expressed as a cardinal ...

3. Partial fraction decomposition - Wikipedia

   en.wikipedia.org/wiki/Partial_fraction_decomposition

   In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator. [1]

4. High-level radioactive waste management - Wikipedia

   en.wikipedia.org/wiki/High-level_radioactive...

   Since the fraction of a radioisotope's atoms decaying per unit of time is inversely proportional to its half-life, the relative radioactivity of a quantity of buried human radioactive waste would diminish over time compared to natural radioisotopes; such as the decay chains of 120 million megatonnes (260 quadrillion pounds) of thorium and 40 ...

5. Scale factor (computer science) - Wikipedia

   en.wikipedia.org/wiki/Scale_factor_(computer...

   Several of the binary fractions require more than the four fractional bits provided by the set fixed-point format. (This is in part because elevenths do not terminate in binary either.) To fit them into the fields (4 integer and 4 fractional bits), it is possible to truncate the remaining bits, giving the following stored representations:

6. Continuous function - Wikipedia

   en.wikipedia.org/wiki/Continuous_function

   For example, if a child grows from 1 m to 1.5 m between the ages of two and six years, then, at some time between two and six years of age, the child's height must have been 1.25 m. As a consequence, if f is continuous on [ a , b ] {\displaystyle [a,b]} and f ( a ) {\displaystyle f(a)} and f ( b ) {\displaystyle f(b)} differ in sign , then, at ...

7. Integration by substitution - Wikipedia

   en.wikipedia.org/wiki/Integration_by_substitution

   [5] For Lebesgue measurable functions, the theorem can be stated in the following form: [ 6 ] Theorem — Let U be a measurable subset of R n and φ : U → R n an injective function , and suppose for every x in U there exists φ ′( x ) in R n , n such that φ ( y ) = φ ( x ) + φ′ ( x )( y − x ) + o (‖ y − x ‖) as y → x (here o ...