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The phrase "mathematical rigor" is correct and can be used in written English.
Generally, it means that you are referring to the systematic application of rules and methods for solving mathematical problems. For example, "With mathematical rigor, the student was able to solve the calculus equation with ease."
Exact(59)
With a certain mathematical rigor (Weil, originally a teacher of philosophy, was well versed in mathematics and physics), she travels a sweeping via negativa to arrive back at traditional Christian assertions.
"He brought a degree of mathematical rigor to the field".
All steps and gestures were articulated with almost mathematical rigor.
But some scientists are now bringing mathematical rigor to the tipping-point argument.
A map, on the other hand, turns the mathematical rigor into a simple chart.
In the same spirit but with mathematical rigor, two Princeton astronomers have now produced what we might call an Earthling's view of the universe.
The study of these patterns is called technical analysis because it tends to be done with mathematical rigor and considerable agnosticism.
One teacher there, the composer James Tenney, became a significant mentor, his wild imagination balanced by the mathematical rigor of his methods.
While admitting that they cannot answer these philosophical questions, some theorists have committed pen to paper in attempts to imagine quantum creation mathematical rigor.
Dr. Padmanabhan said that he could see little difference between Dr. Verlinde's and Dr. Jacobson's papers and that the new element of an entropic force lacked mathematical rigor.
In receiving the Nobel Prize in 1970, Mr. Samuelson was credited with transforming his discipline from one that ruminates about economic issues to one that solves problems, answering questions about cause and effect with mathematical rigor and clarity.
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physical rigor
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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