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  2. Discrete mathematics - Wikipedia

    en.wikipedia.org/wiki/Discrete_mathematics

    The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business. Research in discrete mathematics increased in the latter half of the twentieth century partly due to the development of digital computers which operate in "discrete" steps and ...

  3. Business mathematics - Wikipedia

    en.wikipedia.org/wiki/Business_mathematics

    Business mathematics comprises mathematics credits taken at an undergraduate level by business students.The course [3] is often organized around the various business sub-disciplines, including the above applications, and usually includes a separate module on interest calculations; the mathematics itself comprises mainly algebraic techniques. [1]

  4. Finite mathematics - Wikipedia

    en.wikipedia.org/wiki/Finite_mathematics

    In mathematics education, Finite Mathematics is a syllabus in college and university mathematics that is independent of calculus. A course in precalculus may be a prerequisite for Finite Mathematics.

  5. Analytic geometry - Wikipedia

    en.wikipedia.org/wiki/Analytic_geometry

    In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry . Analytic geometry is used in physics and engineering , and also in aviation , rocketry , space science , and spaceflight .

  6. Godunov's scheme - Wikipedia

    en.wikipedia.org/wiki/Godunov's_scheme

    This is the only physical step of the whole procedure. The discontinuities at the interfaces are resolved in a superposition of waves satisfying locally the conservation equations. The original Godunov method is based upon the exact solution of the Riemann problems. However, approximate solutions can be applied as an alternative.

  7. Finitely generated algebra - Wikipedia

    en.wikipedia.org/wiki/Finitely_generated_algebra

    An -algebra is called finite if it is finitely generated as an -module, i.e. there is a surjective homomorphism of -modules R ⊕ n ↠ A . {\displaystyle R^{\oplus _{n}}\twoheadrightarrow A.} Again, there is a characterisation of finite algebras in terms of quotients [ 3 ]

  8. Calculus on finite weighted graphs - Wikipedia

    en.wikipedia.org/wiki/Calculus_on_finite...

    An important ingredient in the calculus on finite weighted graphs is the mimicking of standard differential operators from the continuum setting in the discrete setting of finite weighted graphs. This allows one to translate well-studied tools from mathematics, such as partial differential equations and variational methods, and make them usable ...

  9. Weil conjectures - Wikipedia

    en.wikipedia.org/wiki/Weil_conjectures

    Deligne's theorem states that if f is a morphism of schemes of finite type over a finite field, then R i f! takes mixed sheaves of weight ≤ β to mixed sheaves of weight ≤ β + i. The original Weil conjectures follow by taking f to be a morphism from a smooth projective variety to a point and considering the constant sheaf Q ℓ on the variety.