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Actuarial notation is a shorthand method to allow actuaries to record mathematical formulas that deal with interest rates and life tables . Traditional notation uses a halo system, where symbols are placed as superscript or subscript before or after the main letter. Example notation using the halo system can be seen below.
The simplex is so-named because it represents the simplest possible polytope in any given dimension. For example, a 0-dimensional simplex is a point, a 1-dimensional simplex is a line segment, a 2-dimensional simplex is a triangle, a 3-dimensional simplex is a tetrahedron, and. a 4-dimensional simplex is a 5-cell.
Dirac comb. In mathematics, a Dirac comb (also known as sha function, impulse train or sampling function) is a periodic function with the formula. for some given period . [1] Here t is a real variable and the sum extends over all integers k. The Dirac delta function and the Dirac comb are tempered distributions.
This writing system, unrelated to the Greek alphabet, last appeared in the thirteenth century BC. In the late ninth century BC or early eighth century BC, the Greek alphabet emerged. [2] The period between the use of the two writing systems, during which no Greek texts are attested, is known as the Greek Dark Ages.
Y-Δ transform. In electrical engineering, the Y-Δ transform, also written wye-delta and also known by many other names, is a mathematical technique to simplify the analysis of an electrical network. The name derives from the shapes of the circuit diagrams, which look respectively like the letter Y and the Greek capital letter Δ.
Ethics in mathematics is an emerging field of applied ethics, the inquiry into ethical aspects of the practice and applications of mathematics. It deals with the professional responsibilities of mathematicians whose work influences decisions with major consequences, such as in law, finance, the military, and environmental science. [1]
Delta neutral. In finance, delta neutral describes a portfolio of related financial securities, in which the portfolio value remains unchanged when small changes occur in the value of the underlying security. Such a portfolio typically contains options and their corresponding underlying securities such that positive and negative delta ...
In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that ...
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