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Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]
Compound angle proof at cut-the-knot; Ptolemy's Theorem Archived 2011-07-24 at the Wayback Machine on PlanetMath; Ptolemy Inequality on MathWorld; De Revolutionibus Orbium Coelestium at Harvard. Deep Secrets: The Great Pyramid, the Golden Ratio and the Royal Cubit; Ptolemy's Theorem by Jay Warendorff, The Wolfram Demonstrations Project.
In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative real numbers is greater than or equal to the geometric mean of the same list; and further, that the two means are equal if and only if every number in the list is the same (in which ...
Source: Investor.gov Compound Interest Calculator The late starter If you invested that same $10,000 at age 55, you’d have a much smaller amount to draw from by the age of 65.
Bennett's inequality, an upper bound on the probability that the sum of independent random variables deviates from its expected value by more than any specified amount Bhatia–Davis inequality , an upper bound on the variance of any bounded probability distribution
Cauchy–Schwarz inequality (Modified Schwarz inequality for 2-positive maps [27]) — For a 2-positive map between C*-algebras, for all , in its domain, () ‖ ‖ (), ‖ ‖ ‖ ‖ ‖ ‖. Another generalization is a refinement obtained by interpolating between both sides of the Cauchy–Schwarz inequality:
Since all the inequalities are in the same form (all less-than or all greater-than), we can examine the coefficient signs for each variable. Eliminating x would yield 2*2 = 4 inequalities on the remaining variables, and so would eliminating y. Eliminating z would yield only 3*1 = 3 inequalities so we use that instead.
Three trajectories of CIR processes. In mathematical finance, the Cox–Ingersoll–Ross (CIR) model describes the evolution of interest rates.It is a type of "one factor model" (short-rate model) as it describes interest rate movements as driven by only one source of market risk.