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In the figure, Excel is used to find the smallest root of the quadratic equation x 2 + bx + c = 0 for c = 4 and c = 4 × 10 5. The difference between direct evaluation using the quadratic formula and the approximation described above for widely spaced roots is plotted vs. b .
The fraction 13/5 = 2.6 and the floor function have that effect; the denominator of 5 sets a period of 5 months. The overall function, mod 7 {\displaystyle \operatorname {mod} \,7} , normalizes the result to reside in the range of 0 to 6, which yields the index of the correct day of the week for the date being analyzed.
[1] [5] The SC, or shading coefficient, is used widely in the evaluation of heat gain through glass and windows. [1] [5] Finally, the SCL, or solar cooling load factor, accounts for the variables associated with solar heat load. These include the global coordinates of the site and the size of the structure. [1] [5]
The equation for the group interaction parameter can be simplified to the following: Ψ m n = exp − a m n T . {\displaystyle \Psi _{mn}=\exp {\frac {-a_{mn}}{T}}.} Thus a m n {\displaystyle a_{mn}} still represents the net energy of interaction between groups m {\displaystyle m} and n {\displaystyle n} , but has the somewhat unusual units ...
The Penman equation describes evaporation (E) from an open water surface, and was developed by Howard Penman in 1948. Penman's equation requires daily mean temperature, wind speed, air pressure, and solar radiation to predict E. Simpler Hydrometeorological equations continue to be used where obtaining such data is impractical, to give comparable results within specific contexts, e.g. humid vs ...
In mathematics, the theory of optimal stopping [1] [2] or early stopping [3] is concerned with the problem of choosing a time to take a particular action, in order to maximise an expected reward or minimise an expected cost.
Microsoft Office 3.0 for Mac was released in 1992 and included Word 5.0, Excel 4.0, PowerPoint 3.0 and Mail Client. Excel 4.0 was the first application to support new AppleScript. [175] Microsoft Office 4.2 for Mac was released in 1994. (Version 4.0 was skipped to synchronize version numbers with Office for Windows) Version 4.2 included Word 6. ...
Plackett–Burman designs are experimental designs presented in 1946 by Robin L. Plackett and J. P. Burman while working in the British Ministry of Supply. [1] Their goal was to find experimental designs for investigating the dependence of some measured quantity on a number of independent variables (factors), each taking L levels, in such a way as to minimize the variance of the estimates of ...