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  2. Symbolab - Wikipedia

    en.wikipedia.org/wiki/Symbolab

    Later, the ability to show all of the steps explaining the calculation were added. [6] The company's emphasis gradually drifted towards focusing on providing step-by-step solutions for mathematical problems at the secondary and post-secondary levels. Symbolab relies on machine learning algorithms for both the search and solution aspects of the ...

  3. Microsoft Math Solver - Wikipedia

    en.wikipedia.org/wiki/Microsoft_Math_Solver

    Microsoft Math contains features that are designed to assist in solving mathematics, science, and tech-related problems, as well as to educate the user. The application features such tools as a graphing calculator and a unit converter. It also includes a triangle solver and an equation solver that provides step-by-step solutions to each problem.

  4. Mental calculation - Wikipedia

    en.wikipedia.org/wiki/Mental_calculation

    The products of small numbers may be calculated by using the squares of integers; for example, to calculate 13 × 17, one can remark 15 is the mean of the two factors, and think of it as (15 − 2) × (15 + 2), i.e. 15 22 2.

  5. Extraneous and missing solutions - Wikipedia

    en.wikipedia.org/wiki/Extraneous_and_missing...

    One of the basic principles of algebra is that one can multiply both sides of an equation by the same expression without changing the equation's solutions. However, strictly speaking, this is not true, in that multiplication by certain expressions may introduce new solutions that were not present before. For example, consider the following ...

  6. Opposite ring - Wikipedia

    en.wikipedia.org/wiki/Opposite_ring

    In mathematics, specifically abstract algebra, the opposite of a ring is another ring with the same elements and addition operation, but with the multiplication performed in the reverse order. More explicitly, the opposite of a ring ( R , +, ⋅ ) is the ring ( R , +, ∗) whose multiplication ∗ is defined by a ∗ b = b ⋅ a for all a , b ...

  7. Idempotence - Wikipedia

    en.wikipedia.org/wiki/Idempotence

    Idempotence (UK: / ˌ ɪ d ɛ m ˈ p oʊ t ən s /, [1] US: / ˈ aɪ d ə m-/) [2] is the property of certain operations in mathematics and computer science whereby they can be applied multiple times without changing the result beyond the initial application.

  8. Algebraic operation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_operation

    Plain text, programming languages, and calculators also use a single asterisk to represent the multiplication symbol, [6] and it must be explicitly used; for example, 3x is written as 3 * x. Rather than using the ambiguous division sign (÷), [ a ] division is usually represented with a vinculum , a horizontal line, as in ⁠ 3 / x + 1 ⁠ .

  9. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    2. Denotes the additive inverse and is read as minus, the negative of, or the opposite of; for example, –2. 3. Also used in place of \ for denoting the set-theoretic complement; see \ in § Set theory. × (multiplication sign) 1. In elementary arithmetic, denotes multiplication, and is read as times; for example, 3 × 2. 2.