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Hudson's equation, also known as Hudson formula, is an equation used by coastal engineers to calculate the minimum size of riprap (armourstone) required to provide satisfactory stability characteristics for rubble structures such as breakwaters under attack from storm wave conditions.
It has traditionally been a requirement of equity that no relief can be granted unless there is irreparable injury. This requirement, commonly called the "irreparable injury rule", has been the subject of sustained academic criticism, especially by remedies scholar Douglas Laycock, who has argued at length that the rule does not actually explain the decisions of courts in the United States. [2]
MDCalc was founded by two emergency physicians, Graham Walker, MD, and Joseph Habboushe, MD, MBA, [5] and provides over 500 medical calculators and other clinical decision-support tools. [6] The MDCalc.com website was launched in 2005. [5] In 2016, MDCalc launched an iOS app, [7] followed by an Android app in 2017. [8]
The simplest example given by Thimbleby of a possible problem when using an immediate-execution calculator is 4 × (−5). As a written formula the value of this is −20 because the minus sign is intended to indicate a negative number, rather than a subtraction, and this is the way that it would be interpreted by a formula calculator.
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.
A user will input a number and the Calculator will use an algorithm to search for and calculate closed-form expressions or suitable functions that have roots near this number. Hence, the calculator is of great importance for those working in numerical areas of experimental mathematics. The ISC contains 54 million mathematical constants.
Any non-linear differentiable function, (,), of two variables, and , can be expanded as + +. If we take the variance on both sides and use the formula [11] for the variance of a linear combination of variables (+) = + + (,), then we obtain | | + | | +, where is the standard deviation of the function , is the standard deviation of , is the standard deviation of and = is the ...
This means that one may consider () = as a generic equation. This finishes the proof that the Galois group of a general equation is the symmetric group, and thus proves the original Abel–Ruffini theorem, which asserts that the general polynomial equation of degree n cannot be solved in radicals for n > 4.