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  2. Sides of an equation - Wikipedia

    en.wikipedia.org/wiki/Sides_of_an_equation

    Similarly, RHS is the right-hand side. The two sides have the same value, expressed differently, since equality is symmetric. [1] More generally, these terms may apply to an inequation or inequality; the right-hand side is everything on the right side of a test operator in an expression, with LHS defined similarly.

  3. Left and right (algebra) - Wikipedia

    en.wikipedia.org/wiki/Left_and_right_(algebra)

    In algebra, the terms left and right denote the order of a binary operation (usually, but not always, called "multiplication") in non-commutative algebraic structures. A binary operation ∗ is usually written in the infix form: s ∗ t. The argument s is placed on the left side, and the argument t is on the right side.

  4. Difference algebra - Wikipedia

    en.wikipedia.org/wiki/Difference_algebra

    While some real life problems, such as population dynamics, can be modeled by algebraic difference equations, difference algebra also has applications in pure mathematics. For example, there is a proof of the Manin–Mumford conjecture using methods of difference algebra. [4] The model theory of difference fields has been studied.

  5. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    This follows from the left side of the equation being equal to zero, requiring the right side to equal zero as well, and so the vector sum of a + b (the long diagonal of the rhombus) dotted with the vector difference a - b (the short diagonal of the rhombus) must equal zero, which indicates the diagonals are perpendicular.

  6. Section (category theory) - Wikipedia

    en.wikipedia.org/wiki/Section_(category_theory)

    Both use of left/right inverse and section/retraction are commonly seen in the literature: the former use has the advantage that it is familiar from the theory of semigroups and monoids; the latter is considered less confusing by some because one does not have to think about 'which way around' composition goes, an issue that has become greater ...

  7. Distributive property - Wikipedia

    en.wikipedia.org/wiki/Distributive_property

    If the operation denoted is not commutative, there is a distinction between left-distributivity and right-distributivity: a ⋅ ( b ± c ) = a ⋅ b ± a ⋅ c (left-distributive) {\displaystyle a\cdot \left(b\pm c\right)=a\cdot b\pm a\cdot c\qquad {\text{ (left-distributive) }}} ( a ± b ) ⋅ c = a ⋅ c ± b ⋅ c (right-distributive ...

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  9. Wheel theory - Wikipedia

    en.wikipedia.org/wiki/Wheel_theory

    A wheel is a type of algebra (in the sense of universal algebra) where division is always defined. In particular, division by zero is meaningful. The real numbers can be extended to a wheel, as can any commutative ring.

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