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The phenomenon of the coupling constant becoming infinite or vanishing at some energy is an important feature of modern quantum field theories.
He was able to establish a profound connection between the minimum number of curves needed to do this for a given surface and the number of functions (becoming infinite at specified points) that the surface could then support.
Moreover, these limits are singular, meaning that the smooth behavior of a quantity or pattern is disrupted, often by becoming infinite (Friedrichs 1955; Dingle 1973; Primas 1998).
In the neighborhood of smooth caustics – smooth envelopes of rays – these ray-theoretic solutions break down with the predicted amplitudes of the solutions becoming infinite.
The approximate solutions are compared with a numerical solution obtained under the limiting condition of the gas phase Peclet number becoming infinite.
It remains when the contrast of the stimulus is zero and prevents the response from becoming infinite.
Similar(53)
The whole journey is a journey of imagination, where the original indivisible state of God imagines becoming countless individualized souls which he likens to bubbles within an infinite ocean.
This transformation took us beyond history, to an 'end of history' in which time was converted 'into a sort of infinite space', becoming an 'eternal present' where one 'just keeps oneself busy, because nothing more can happen' (Ewald, 1999: 85–6).
ORLANDO, Fla .— Eight hours before tipoff last Monday, the coach was calmly detailing how he pushes and prods his budding star, a coltish player with infinite potential, toward becoming the standard by which contemporary N.B.A. big men are measured.
Becoming aware of the practically infinite choices we have to compose our lives, including the words we use to map them, can be overwhelming -- we feel in these instances the "vertigo of freedom".
There is a problem though: nothing in the current theory prevents the Higgs from reacting with itself, becoming heavier and heavier in an infinite regress.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com