mathematics, a characteristic class is a way of associating to each principal bundle of X a cohomology class of X. The cohomology class measures the extent...

topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that...

the Todd class is a certain construction now considered a part of the theory in algebraic topology of characteristic classes. The Todd class of a vector...

In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest positive number of copies of the ring's multiplicative...

Stiefel–Whitney class was named for Eduard Stiefel and Hassler Whitney and is an example of a Z / 2 Z {\displaystyle \mathbb {Z} /2\mathbb {Z} } -characteristic class...

The Raritan or Potomac-class frigate was a class of nine heavy United States Navy frigates which were in operation through much of the 19th century. The...

the Pontryagin classes, named after Lev Pontryagin, are certain characteristic classes of real vector bundles. The Pontryagin classes lie in cohomology...

differential geometry and algebraic geometry, the Chern classes are characteristic classes associated with complex vector bundles. They have since become...

algebraic topology, the Euler class is a characteristic class of oriented, real vector bundles. Like other characteristic classes, it measures how "twisted"...

operating characteristic curve, or ROC curve, is a graphical plot that illustrates the performance of a binary classifier model (can be used for multi class classification...

{\displaystyle EG\times M} . An equivariant characteristic class of E is then an ordinary characteristic class of E ~ {\displaystyle {\widetilde {E}}} ,...

Poincaré duality, Euler class of Sphere bundles, Thom classes and Thom isomorphism, and more. Milnor, John. Characteristic classes. is another standard reference...

In mathematics, the Bott cannibalistic class, introduced by Raoul Bott (1962), is an element θ k ( V ) {\displaystyle \theta _{k}(V)} of the representation...

Gauss–Bonnet theorem. This theory was an important step in the theory of characteristic classes. Let G be a real or complex Lie group with Lie algebra g {\displaystyle...

Segre class is a characteristic class used in the study of cones, a generalization of vector bundles. For vector bundles the total Segre class is inverse...

splitting principle, characteristic classes for complex vector bundles correspond to symmetric polynomials in the first Chern classes of complex line bundles;...

of characteristic classes for vector bundles that take values in cohomology, including Chern classes, Stiefel–Whitney classes, and Pontryagin classes. For...

mathematics, a theta characteristic of a non-singular algebraic curve C is a divisor class Θ such that 2Θ is the canonical class. In terms of holomorphic...

protect specific areas of the ship. The Kuat RZ-1 A-wing Interceptor is a class of starfighter, depicted as fast but fragile interceptors of the Rebel Alliance...

Venator-class Star Destroyer (prequel trilogy), the ubiquitous Imperial-class Star Destroyer (original trilogy), and the recent Resurgent-class and Xyston-class...

which is a characteristic class for an element of twisted K-theory. The twisted Chern character is a differential form that represents a class in the twisted...

Voyager, the Mediator-class battle cruisers, and Viscount-class Star Defenders (which were meant to be the answer to the Executor-class Super Star Destroyers)...

several decades. Below are characteristics of every named ship of the class, which is also referred to as the Guerriere-class. Silverstone, Paul H. (2006)...

The Tarawa class is a ship class of Landing Helicopter Assault (LHA) type amphibious assault ships operated by the United States Navy (USN). Five ships...

characteristic samples, the adversary, the teacher and the inference algorithm. Given a class of languages C {\displaystyle \mathbb {C} } and a class...

The North Carolina class were a pair of fast battleships, North Carolina and Washington, built for the United States Navy in the late 1930s and early...

secondary characteristic classes. The theory is named for Shiing-Shen Chern and James Harris Simons, co-authors of a 1974 paper entitled "Characteristic Forms...

the Pontryagin classes, in real four-dimensional cohomology. In this way foundational cases for the theory of characteristic classes depend only on line...

first of the Type 003 class (NATO/OSD Fujian class). It succeeds the Type 002 Shandong which is described as a modified Kuznetsov-class aircraft carrier....

Independence of the Seas is a Freedom-class cruise ship operated by Royal Caribbean International. The 15-deck ship was built in the Aker Finnyards Turku...