Multi-objective optimizationMulti-objective optimization or Pareto optimization (also known as multi-objective programming, vector optimization, multicriteria optimization, or multiattribute optimization) is an area of multiple-criteria decision making that is concerned with mathematical optimization problems involving more than one objective function to be optimized simultaneously. Multi-objective is a type of vector optimization that has been applied in many fields of science, including engineering, economics and logistics where optimal decisions need to be taken in the presence of trade-offs between two or more conflicting objectives.
Chemical reactionA chemical reaction is a process that leads to the chemical transformation of one set of chemical substances to another. Classically, chemical reactions encompass changes that only involve the positions of electrons in the forming and breaking of chemical bonds between atoms, with no change to the nuclei (no change to the elements present), and can often be described by a chemical equation. Nuclear chemistry is a sub-discipline of chemistry that involves the chemical reactions of unstable and radioactive elements where both electronic and nuclear changes can occur.
Ideal (order theory)In mathematical order theory, an ideal is a special subset of a partially ordered set (poset). Although this term historically was derived from the notion of a ring ideal of abstract algebra, it has subsequently been generalized to a different notion. Ideals are of great importance for many constructions in order and lattice theory. A subset I of a partially ordered set is an ideal, if the following conditions hold: I is non-empty, for every x in I and y in P, y ≤ x implies that y is in I (I is a lower set), for every x, y in I, there is some element z in I, such that x ≤ z and y ≤ z (I is a directed set).
Paramount PicturesParamount Pictures Corporation is an American film and television production and distribution company and the namesake division of Paramount Global (formerly ViacomCBS). It is the fifth-oldest film studio in the world, the second-oldest film studio in the United States (behind Universal Pictures), and the sole member of the "Big Five" film studios located within the city limits of Los Angeles. In 1916, film producer Adolph Zukor put 24 actors and actresses under contract and honored each with a star on the logo.
Paramount GlobalParamount Global (doing business as Paramount) is an American multinational mass media and entertainment conglomerate controlled by National Amusements and headquartered at One Astor Plaza in Midtown Manhattan in New York City. The company was formed on December 4, 2019, as ViacomCBS Inc. through the merger of the second incarnations of CBS Corporation and Viacom (which were split from the original Viacom on December 31, 2005). The company changed its name to Paramount Global on February 16, 2022, the day after its Q4 earnings presentation.
Boolean prime ideal theoremIn mathematics, the Boolean prime ideal theorem states that ideals in a Boolean algebra can be extended to prime ideals. A variation of this statement for filters on sets is known as the ultrafilter lemma. Other theorems are obtained by considering different mathematical structures with appropriate notions of ideals, for example, rings and prime ideals (of ring theory), or distributive lattices and maximal ideals (of order theory). This article focuses on prime ideal theorems from order theory.
