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In Euclidean geometry, Brahmagupta's formula, named after the 7th century Indian mathematician, is used to find the area of any convex cyclic quadrilateral (one that can be inscribed in a circle) given the lengths of the sides. Its generalized version, Bretschneider's formula, can be used with non-cyclic quadrilateral.
The adjective kinetic has its roots in the Greek word κίνησις kinesis, meaning "motion".The dichotomy between kinetic energy and potential energy can be traced back to Aristotle's concepts of actuality and potentiality.
This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, is taken to have the value
Massic kinetic energy provides valuable insights into the energy possessed by a unit mass of a moving body. It allows for the comparison of kinetic energy across different masses, aiding in the analysis of the impact of velocity on dynamic systems.
In mathematics, the moving sofa problem or sofa problem is a two-dimensional idealization of real-life furniture-moving problems and asks for the rigid two-dimensional shape of the largest area that can be maneuvered through an L-shaped planar region with legs of unit width. [1] The area thus obtained is referred to as the sofa constant.
Power series – The Kerala school of astronomy and mathematics or the Kerala school was a school of mathematics and astronomy founded by Madhava of Sangamagrama in Tirur, Malappuram, Kerala, India. Their work, completed two centuries before the invention of calculus in Europe, provided what is now considered the first example of a power series ...
The union Q CM of all CM fields is similar to a CM field except that it has infinite degree. It is a quadratic extension of the union of all totally real fields Q R. The absolute Galois group Gal(Q /Q R) is generated (as a closed subgroup) by all elements of order 2 in Gal(Q /Q), and Gal(Q /Q CM) is a subgroup of index 2.
In mathematics, complex multiplication (CM) is the theory of elliptic curves E that have an endomorphism ring larger than the integers. [1] Put another way, it contains the theory of elliptic functions with extra symmetries, such as are visible when the period lattice is the Gaussian integer lattice or Eisenstein integer lattice.
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