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Φ is assumed to be simple (no two points occupy the same location) and stationary in space, i.e., its statistical properties do not change if Φ is shifted.
As a byproduct of learning where opposing agents choose to occupy, if motivated offenders occupy the same location as targets without a guardian present, then crimes may occur.
In the case of antisymmetry, solutions of the wave equation for interacting electrons result in a zero probability that each pair will occupy the same location or state.
When he stands in the kitchen to tell me how to arrange the dishes in his dishwasher, when he grabs a soiled bowl and painstakingly places it directly in the space of another bowl, unable for a minute or so to recognize that the two bowls cannot occupy the same location, so too does his new personality, when I let it, cause the eventual displacement and softening of his old.
Since two individuals cannot occupy the same location, we assume at any time t that any individual has k unique k-nearest neighbors.
As noted earlier, the new water molecule observed in the S236A·MgAMPPNP complex cannot occupy the same location as the true hydrolytic water in the wild-type protein because its location is too close to the γ-hydroxyl of Ser236 (2.1 Å).
Similar(52)
Although the protests no longer occupy the same locations as before a posh shopping district and the sites of public monuments the slogans are unchanged.
The city centre still occupies the same location.
Its Market Place still occupies the same location some 1,000 years later.
The astronomical metrics of Shmuel are by now considered inexact, but close enough so that the religious tradition persists, so that Jews like Rabbi Bleich believe that the sun next Wednesday occupies the same location in the firmament as it did when it was formed on the fourth day of Creation, which would have been Wednesday, March 26, of the Hebrew year 1, otherwise known as 3760 B.C.
Under this condition, the two-way phase center of the trailing sub-aperture occupies the same location of the two-way phase center of the leading sub-aperture one pulse repetition interval (PRI) later.
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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