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The phrase "are expanded by using" is correct and usable in written English.
It can be used when describing a process or method by which something is increased or elaborated upon.
Example: "The available resources are expanded by using innovative techniques to maximize efficiency."
Alternatives: "are enhanced through" or "are increased by employing".
Exact(2)
The forces of the pressure and of the slider-crank mechanism are expanded by using Fourier transformation.
The fundamental solution is expanded into the separable kernel by using the elliptic coordinates and the boundary densities are expanded by using the eigenfunction expansion.
Similar(58)
The radial deflection of the shell is expanded by using a basis of seven linear modes.
Applications of active materials can be expanded by using robust, non-mammalian muscle cells, such as those of Manduca sexta.
A possibility of the whey utilization would be expanded by using other microorganisms.
The validation range of the method is expanded by using piecewise lines to fit the exponential function. .
The vision sensor can track seven different colours signatures at once — a figure that can be expanded by using combinations of colours ('colour codes' — basically sticking one swatch of colour next to a different one to create a combination of two or more colours) if you need to track more than seven different-coloured objects at once.
Equation 11 was expanded by using the first-order VTS around an initial value n0 of n, and the mean of the training log-spectrum vector μ Tr = E{y Tr } to obtain the following equation: y Te = y Tr + G ( μ y Tr, n 0, n Tr ) + ∇ y Tr G ( μ y Tr, n 0, n Tr ) ( y Tr - μ y Tr ) + ∇ n G μ y Tr, n 0, n Tr ( n - n 0 ), (12).
Drilling at low speed: The pilot hole is expanded by using progressively wider drills (typically between three and seven successive drilling steps, depending on implant width and length).
Because Tn5 clearly has some sequence bias for insertion, the recovery of localized proteins could be expanded by using additional transposons, such as mariner and mu, engineered to insert gfp.
Then, the network was expanded by using strict criteria based on GO annotation terminology as described in the Methods section.
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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