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Clearing denominators. In mathematics, the method of clearing denominators, also called clearing fractions, is a technique for simplifying an equation equating two expressions that each are a sum of rational expressions – which includes simple fractions .
The next step, to correct for fractionation, can be done using either the 14 C / 12 C ratio or the 14 C / 13 C ratio, and also depends on which of the two possible standards was measured: HOxI or HoxII. R' std is then R' HOxI or R' HOxII, depending on which standard was used. The four possible equations are as follows. First, if the 14 C / 12
An interesting feature of ancient Egyptian mathematics is the use of unit fractions. [7] The Egyptians used some special notation for fractions such as 1 / 2 , 1 / 3 and 2 / 3 and in some texts for 3 / 4 , but other fractions were all written as unit fractions of the form 1 / n or sums of such unit ...
The Shunt equation (also known as the Berggren equation) quantifies the extent to which venous blood bypasses oxygenation in the capillaries of the lung.. “Shunt” and “dead space“ are terms used to describe conditions where either blood flow or ventilation do not interact with each other in the lung, as they should for efficient gas exchange to take place.
Since P 2 (x) < 0 for x = 1 / 9 , and P 2 (x) > 0 for all x > 1 / 8 , the next term in the greedy expansion is 1 / 9 . If x 3 is the remaining fraction after this step of the greedy expansion, it satisfies the equation P 2 (x 3 + 1 / 9 ) = 0, which can again be expanded as a polynomial equation with integer ...
Rate equation. In chemistry, the rate equation (also known as the rate law or empirical differential rate equation) is an empirical differential mathematical expression for the reaction rate of a given reaction in terms of concentrations of chemical species and constant parameters (normally rate coefficients and partial orders of reaction) only ...
The TI-108 is a simple four-function calculator which uses single-step execution. The immediate execution mode of operation (also known as single-step, algebraic entry system ( AES) [ 7] or chain calculation mode) is commonly employed on most general-purpose calculators. In most simple four-function calculators, such as the Windows calculator ...
Solving quadratic equations with continued fractions. In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is. where a ≠ 0. The quadratic equation on a number can be solved using the well-known quadratic formula, which can be derived by completing the square. That formula always gives the roots ...
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