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  2. Mathematical formulation of the Standard Model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_formulation...

    The standard model is a quantum field theory, meaning its fundamental objects are quantum fields, which are defined at all points in spacetime. QFT treats particles as excited states (also called quanta) of their underlying quantum fields, which are more fundamental than the particles. These fields are.

  3. Stoichiometry - Wikipedia

    en.wikipedia.org/wiki/Stoichiometry

    Stoichiometry (/ ˌstɔɪkiˈɒmɪtri /) is the relationships among the weights of reactants and products before, during, and following chemical reactions. Stoichiometry is founded on the law of conservation of mass where the total mass of the reactants equals the total mass of the products, leading to the insight that the relations among ...

  4. Equivalence relation - Wikipedia

    en.wikipedia.org/wiki/Equivalence_relation

    In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments in geometry is a common example of an equivalence relation. A simpler example is equality. Any number is equal to itself (reflexive). If , then (symmetric).

  5. Equivalent (chemistry) - Wikipedia

    en.wikipedia.org/wiki/Equivalent_(chemistry)

    An equivalent (symbol: officially equiv; [1] unofficially but often Eq[2]) is the amount of a substance that reacts with (or is equivalent to) an arbitrary amount (typically one mole) of another substance in a given chemical reaction. It is an archaic quantity that was used in chemistry and the biological sciences (see Equivalent weight § In ...

  6. Congruence relation - Wikipedia

    en.wikipedia.org/wiki/Congruence_relation

    Congruence relation. In abstract algebra, a congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector space) that is compatible with the structure in the sense that algebraic operations done with equivalent elements will yield equivalent elements. [1]

  7. Law of mass action - Wikipedia

    en.wikipedia.org/wiki/Law_of_mass_action

    However, all reactions can be represented as a series of elementary reactions and, if the mechanism is known in detail, the rate equation for each individual step is given by the expression so that the overall rate equation can be derived from the individual steps. When this is done the equilibrium constant is obtained correctly from the rate ...

  8. Mathematical universe hypothesis - Wikipedia

    en.wikipedia.org/wiki/Mathematical_universe...

    Mathematical universe hypothesis. In physics and cosmology, the mathematical universe hypothesis (MUH), also known as the ultimate ensemble theory, is a speculative "theory of everything" (TOE) proposed by cosmologist Max Tegmark. [1][2] According to the hypothesis, the universe is a mathematical object in and of itself.

  9. Mathematical structure - Wikipedia

    en.wikipedia.org/wiki/Mathematical_structure

    Mathematical structure. In Mathematics, a structure on a set (or on some sets) refers to providing it (or them) with certain additional features (e.g. an operation, relation, metric, or topology). Τhe additional features are attached or related to the set (or to the sets), so as to provide it (or them) with some additional meaning or significance.