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The following programming fragment employs the IF-THEN structure for finding one root of the quadratic equation, using the quadratic formula: The quadratic formula assumes that a is nonzero and that the discriminant (the portion within the square root sign) is not negative (in order to obtain a real number root).
Condition (C3) can be achieved by solving the following programming problem: (23a).
Hence, determining the optimal prices is done by solving the following programming problem: (11a).
Now, we consider the following programming: min_{x}sum_{j=1}^{n}|b_{j}-a_{j}x|.
The Client-API and the Library Routine-API currently support the following programming languages/PSEs: Java 8, Python 3, C# (Mono), Octave, MATLAB.
Example 4.1 Consider the following programming problem with LMI and box constraints: ( E X P 2 ) min f ( x ) : = 3 x 1 - 2 x 2 s. t.
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All reactions were carried out with the following program: 30 s at 95°C, followed by 44 cycles of 95°C for 3 s and 60°C for 34 s.
The following program was used: 98 °C for 3 min, followed by 40 cycles of 98 °C for 15 s, 58 °C for 30 s, and 72 °C for 30 s.
After initial denaturation for 4' at 94°C the following program was run for 35 cycles: 30″ 94°C, 3' 60°C, 1' 72°C followed by an extended elongation for 7' at 72°C.
"THE following program was filmed on location at a public high school.
News shows should probably come with a spoiler alert: the following program contains images and language that seem to jump to a foregone conclusion.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com