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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.
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.
A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.
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 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.
Graph of a polynomial of degree 7, with 7 real roots (crossings of the x axis) and 6 critical points.Depending on the number and vertical location of the minima and maxima, the septic could have 7, 5, 3, or 1 real root counted with their multiplicity; the number of complex non-real roots is 7 minus the number of real roots.
Layer cake representation. In mathematics, the layer cake representation of a non-negative, real-valued measurable function defined on a measure space (,,) is the formula = (,) (),
In fluid dynamics, turbulence kinetic energy (TKE) is the mean kinetic energy per unit mass associated with eddies in turbulent flow.Physically, the turbulence kinetic energy is characterized by measured root-mean-square (RMS) velocity fluctuations.
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