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  2. Triviality (mathematics) - Wikipedia

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

    Trivial may also refer to any easy case of a proof, which for the sake of completeness cannot be ignored. For instance, proofs by mathematical induction have two parts: the "base case" which shows that the theorem is true for a particular initial value (such as n = 0 or n = 1), and the inductive step which shows that if the theorem is true for a certain value of n, then it is also true for the ...

  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.

  4. Cross-multiplication - Wikipedia

    en.wikipedia.org/wiki/Cross-multiplication

    'Dr Math', Abraham Lincoln and the Rule of Three Pike's System of arithmetick abridged: designed to facilitate the study of the science of numbers, comprehending the most perspicuous and accurate rules, illustrated by useful examples: to which are added appropriate questions, for the examination of scholars, and a short system of book-keeping ...

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  6. Amicable numbers - Wikipedia

    en.wikipedia.org/wiki/Amicable_numbers

    Demonstration with Cuisenaire rods of the amicability of the pair of numbers (220,284), the first of the series.. In mathematics, the amicable numbers are two different natural numbers related in such a way that the sum of the proper divisors of each is equal to the other number.

  7. Duolingo - Wikipedia

    en.wikipedia.org/wiki/Duolingo

    Duolingo Math is an app course for learning elementary mathematics. It was announced on YouTube on August 27, 2022, at the Duocon 2022 event. [67] Duolingo Math covers math topics through an interactive and gradual approach. It starts with basic arithmetic—addition, subtraction, multiplication, and division.

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