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  2. Elliptic curve point multiplication - Wikipedia

    en.wikipedia.org/wiki/Elliptic_curve_point...

    Elliptic curve scalar multiplication is the operation of successively ... some equation in a ... ← T 1 2 T 2 ← T 2 2 Z 3 ← T 2 · X 1 X 2 ← T 5 · T 6 T 5 ← ...

  3. Cross-multiplication - Wikipedia

    en.wikipedia.org/wiki/Cross-multiplication

    are solved using cross-multiplication, since the missing b term is implicitly equal to 1: a 1 = x d . {\displaystyle {\frac {a}{1}}={\frac {x}{d}}.} Any equation containing fractions or rational expressions can be simplified by multiplying both sides by the least common denominator .

  4. List of equations - Wikipedia

    en.wikipedia.org/wiki/List_of_equations

    This is a list of equations, by Wikipedia page under appropriate bands of their field. Eponymous equations The following equations are named after researchers who ...

  5. Hadamard product (matrices) - Wikipedia

    en.wikipedia.org/wiki/Hadamard_product_(matrices)

    The Hadamard product operates on identically shaped matrices and produces a third matrix of the same dimensions. In mathematics, the Hadamard product (also known as the element-wise product, entrywise product [1]: ch. 5 or Schur product [2]) is a binary operation that takes in two matrices of the same dimensions and returns a matrix of the multiplied corresponding elements.

  6. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    a b c = a (b c) which typically is not equal to (a b) c. This convention is useful because there is a property of exponentiation that (a b) c = a bc, so it's unnecessary to use serial exponentiation for this. However, when exponentiation is represented by an explicit symbol such as a caret (^) or arrow (↑), there is no common standard.

  7. Multiplicative group of integers modulo n - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_group_of...

    Integer multiplication respects the congruence classes, ... Notice that the equation ax + ny = 1 implies that x is ... C 100: 100: 100: 2 6 C 2: 2: 2: 5 38 C 18: 18 ...

  8. Montgomery modular multiplication - Wikipedia

    en.wikipedia.org/wiki/Montgomery_modular...

    6 Side-channel attacks. 7 See also. ... Montgomery modular multiplication, ... 4 0487670 0 5 0487670 0 6 0487670 0 i ← 1 m ← 4 ⋅ 7 mod 10 = 8 j T c ...

  9. Complex multiplication - Wikipedia

    en.wikipedia.org/wiki/Complex_multiplication

    An elliptic function is said to have complex multiplication if there is an algebraic relation between () and () for all in . Conversely, Kronecker conjectured – in what became known as the Kronecker Jugendtraum – that every abelian extension of K {\displaystyle K} could be obtained by the (roots of the) equation of a suitable elliptic curve ...