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  2. Matrix addition - Wikipedia

    en.wikipedia.org/wiki/Matrix_addition

    In mathematics, matrix addition is the operation of adding two matrices by adding the corresponding entries together. For a vector , v → {\displaystyle {\vec {v}}\!} , adding two matrices would have the geometric effect of applying each matrix transformation separately onto v → {\displaystyle {\vec {v}}\!} , then adding the transformed vectors.

  3. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    For example, the set of integers modulo 12 has twelve elements; it inherits an addition operation from the integers that is central to musical set theory. The set of integers modulo 2 has just two elements; the addition operation it inherits is known in Boolean logic as the "exclusive or" function.

  4. Summation - Wikipedia

    en.wikipedia.org/wiki/Summation

    In mathematics, summation is the addition of a sequence of numbers, called addends or summands; the result is their sum or total.Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any type of mathematical objects on which an operation denoted "+" is defined.

  5. Mixed-anion compounds - Wikipedia

    en.wikipedia.org/wiki/Mixed-anion_compounds

    Many of the non-metals that could make mixed-anion compounds may have greatly varying volatilities. This makes it more difficult to combine the elements together. Compounds may be produced in a solid state reaction, by heating solids together, either in a vacuum or a gas.

  6. Group (mathematics) - Wikipedia

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

    A group is a non-empty set together with a binary operation on ⁠ ⁠, here denoted "⁠ ⁠", that combines any two elements and of to form an element of ⁠ ⁠, denoted ⁠ ⁠, such that the following three requirements, known as group axioms, are satisfied: [5] [6] [7] [a]

  7. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    The inverse element is the element that results in the identity element when combined with another element. For instance, the additive inverse of the number 6 is -6 since their sum is 0. [41] There are not only inverse elements but also inverse operations. In an informal sense, one operation is the inverse of another operation if it undoes the ...

  8. Chemical compound - Wikipedia

    en.wikipedia.org/wiki/Chemical_compound

    A chemical compound is a chemical substance composed of many identical molecules (or molecular entities) containing atoms from more than one chemical element held together by chemical bonds. A molecule consisting of atoms of only one element is therefore not a compound.

  9. Law of multiple proportions - Wikipedia

    en.wikipedia.org/wiki/Law_of_multiple_proportions

    The discovery of this pattern led Dalton to develop the modern theory of atoms, as it suggested that the elements combine with each other in multiples of a basic quantity. Along with the law of definite proportions , the law of multiple proportions forms the basis of stoichiometry .