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The multiplication by two, in binary, can be performed as a simple left shift, adding a 0 bit as the least significant output digit.
The plate results are given in gliadin concentration and need to be adjusted for the dilution factor to obtain the gliadin concentration in solution, which is then converted to gluten content by multiplication by two.
"Simply doubling" is not the definition of multiplication by two.
But in order to learn simple multiplication by two, this method is much preferable to the "multiplication tables".
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Adjustments (multiplication by three) of the p-values due to multiple comparisons were performed by Bonferroni's method when appropriate.
When calculating the grayscale image, one division is needed, Eq. 2. Note that in performing high-pass filtering in Eq. 3, no floating-point operations are required where negation and multiplication by eight in the kernel are treated as bit-shift operations, and the division by eight is also regarded as a bit-shift.
(Subjects are known to compute and name the result of multiplication by zero faster than multiplication of nonzero numbers, although they are slower to verify proposed results like).
Enclosing the above numbers inside additional ( and ) symbols meant multiplication by ten.
In a simplified way, the multiplication operation over binaries can be understood as a sequence of additions and multiplications by two.
The decomposed transform is then pruned by eliminating, from the input and output stages, additions and multiplications by zero, multiplications by one, and all other computations not needed to obtain the required Fourier transform coefficients.
In our implementations, we refrain from this option, since we doubt that in MATLAB, the multiplications by zero in full space are costlier than locating and accessing the correct coordinates.
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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