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Reverse mathematics is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. Its defining method can briefly be described as "going backwards from the theorems to the axioms ", in contrast to the ordinary mathematical practice of deriving theorems from axioms.
The following is a list of named topologies or topological spaces, many of which are counterexamples in topology and related branches of mathematics. This is not a list of properties that a topology or topological space might possess; for that, see List of general topology topics and Topological property .
There are several closely related functions called Jacobi theta functions, and many different and incompatible systems of notation for them. One Jacobi theta function (named after Carl Gustav Jacob Jacobi) is a function defined for two complex variables z and τ, where z can be any complex number and τ is the half-period ratio, confined to the upper half-plane, which means it has a positive ...
In mathematics, a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function. This implies there are no abrupt changes in value, known as discontinuities. More precisely, a function is continuous if arbitrarily small changes in its value can be assured by restricting to ...
In mathematics, in particular in algebraic topology, differential geometry and algebraic geometry, the Chern classes are characteristic classes associated with complex vector bundles. They have since become fundamental concepts in many branches of mathematics and physics, such as string theory , Chern–Simons theory , knot theory , and Gromov ...
After the school's early graduating classes included relatively few black and Hispanic students, FCPS created a race-based affirmative action program to admit more black and Hispanic students. [42] The program was in effect for the admissions process for the graduating classes of 1997 through 2002; the county ended it because of legal ...
Henson wore the jersey number 33, averaging 17.6 points, 12.2 rebounds, and 6.1 blocks per game as a senior in 2008–09. He scored a season-high 29 points against Tampa Bay Tech and blocked 10 or more shots five times with a high of 11 on four occasions as a senior as well. [ 1 ]
It is a declared nuclear-weapons state, and is ranked amongst the emerging and growth-leading economies, [18] with a large and rapidly growing middle class. [19] [20] Pakistan's political history since independence has been characterized by periods of significant economic and military growth as well as those of political and economic instability.