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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A mixed number (also called a mixed fraction or mixed numeral) is the sum of a non-zero integer and a proper fraction, conventionally written by juxtaposition (or concatenation) of the two parts, without the use of an intermediate plus (+) or minus (−) sign. When the fraction is written horizontally, a space is added between the integer and ...

  3. Formulas for generating Pythagorean triples - Wikipedia

    en.wikipedia.org/wiki/Formulas_for_generating...

    Michael Stifel published the following method in 1544. [3] [4] Consider the sequence of mixed numbers,,,, … with = + +.To calculate a Pythagorean triple, take any term of this sequence and convert it to an improper fraction (for mixed number , the corresponding improper fraction is ).

  4. Mixing ratio - Wikipedia

    en.wikipedia.org/wiki/Mixing_Ratio

    The condition to get a partially ideal solution on mixing is that the volume of the resulting mixture V to equal double the volume V s of each solution mixed in equal volumes due to the additivity of volumes. The resulting volume can be found from the mass balance equation involving densities of the mixed and resulting solutions and equalising ...

  5. Division (mathematics) - Wikipedia

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

    For division to always yield one number rather than an integer quotient plus a remainder, the natural numbers must be extended to rational numbers or real numbers. In these enlarged number systems , division is the inverse operation to multiplication, that is a = c / b means a × b = c , as long as b is not zero.

  6. Ensemble (mathematical physics) - Wikipedia

    en.wikipedia.org/wiki/Ensemble_(mathematical...

    If the number of parts in the system is allowed to vary among the systems in the ensemble (as in a grand ensemble where the number of particles is a random quantity), then it is a probability distribution over an extended phase space that includes further variables such as particle numbers N 1 (first kind of particle), N 2 (second kind of ...

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  8. If you haven’t been car shopping in a while, brace yourself

    www.aol.com/next-car-could-cost-more-150822072.html

    It’s called sticker shock. And if you haven’t been to a dealer’s showroom since before the pandemic, you might want to prepare yourself.

  9. Mixture distribution - Wikipedia

    en.wikipedia.org/wiki/Mixture_distribution

    The number of components in a mixture distribution is often restricted to being finite, although in some cases the components may be countably infinite in number. More general cases (i.e. an uncountable set of component distributions), as well as the countable case, are treated under the title of compound distributions.