Oplysninger om | engelsk ord ENUMERATIVE

Eksempler på brug af ENUMERATIVE i en sætning

• English author and bibliographer John Carter describes bibliography as a word having two senses: one, a list of books for further study or of works consulted by an author (or enumerative bibliography); the other one, applicable for collectors, is "the study of books as physical objects" and "the systematic description of books as objects" (or descriptive bibliography).
• In some contexts, such as enumerative combinatorics, the term enumeration is used more in the sense of counting – with emphasis on determination of the number of elements that a set contains, rather than the production of an explicit listing of those elements.
• Indeed, according to the SYZ conjecture of Andrew Strominger, Shing-Tung Yau, and Eric Zaslow, T-duality is closely related to another duality called mirror symmetry, which has important applications in a branch of mathematics called enumerative algebraic geometry.
• Double factorials also arise in expressing the volume of a hyperball and surface area of a hypersphere, and they have many applications in enumerative combinatorics.
• Aspects include "counting" the objects satisfying certain criteria (enumerative combinatorics), deciding when the criteria can be met, and constructing and analyzing objects meeting the criteria (as in combinatorial designs and matroid theory), finding "largest", "smallest", or "optimal" objects (extremal combinatorics and combinatorial optimization), and finding algebraic structures these objects may have (algebraic combinatorics).
• Mathematicians became interested in this relationship around 1990 when Philip Candelas, Xenia de la Ossa, Paul Green, and Linda Parkes showed that it could be used as a tool in enumerative geometry, a branch of mathematics concerned with counting the number of solutions to geometric questions.
• In combinatorics, the twelvefold way is a systematic classification of 12 related enumerative problems concerning two finite sets, which include the classical problems of counting permutations, combinations, multisets, and partitions either of a set or of a number.
• Vakil is an algebraic geometer and his research work spans over enumerative geometry, topology, Gromov–Witten theory, and classical algebraic geometry.
• Jim Bryan (University of British Columbia) AG - The enumerative geometry and arithmetic of some of the world’s Tiniest Calabi–Yau threefolds.
• Later editions added material on enumerative combinatorics (the numbers of ways of arranging items into groups with various constraints), derangements, frequentist probability, life expectancy, and the fairness of bets, among other topics.
• Textual scholar David Greetham has described textual scholarship as a term encompassing "the procedures of enumerative bibliographers, descriptive, analytical, and historical bibliographers, paleographers and codicologists, textual editors, and annotators-cumulatively and collectively".
• The weight functions appearing in multidimensional hypergeometric solutions were later identified with stable envelopes in Andrei Okounkov's equivariant enumerative geometry.
• The study of stacky curves is used extensively in equivariant Gromov–Witten theory and enumerative geometry.
• Also popular proof and answer to skepticism (for instance that of David Hume) is that PUC has been true in so many cases, that (using basic inductivist scientific method enumerative inductive reasoning) it is reasonable to say that it is true in every case, moreover counter-example i.

Sideforberedelse tog: 181,68 ms.