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H is symmetric under interchange of the two electrons in space alone, so its eigenfunctions can be chosen to be either symmetric or antisymmetric under spatial interchange.
As in the beginning of Section 2.1, we obtain that ∂ ∂ t Δ j v + ( S j v, ∇ ) Δ j v = ( S j v, ∇ ) Δ j v − Δ j ( v, ∇ ) v − Δ j ∇ p. for j ∈ N. The interchange of the two operators ∂ ∂ t and Δ j on the left-hand side follows from the fact that ∂ ∂ t v ∈ L ∞ ( [ 0, T ] ; L ∞ ( R d ) ).
To proceed, we require that the pairwise alignment distribution ν be symmetric under interchange of the two sequences in the pair.
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Islamic Architecture (IA) is a receptacle of Islamic civilization, and it is significant that the interchange of these two facets is recognized when dealing with Islamic construction projects.
This could be either a closed conformation without the active site occupied, or an increased rate of interchange between the two forms.
Here, US-60 has an interchange with one of the two interstate highways it will meet in Oklahoma, Interstate 35 (I-35).
Exchange may be imagined as a continual jumping back and forth or interchange of the electrons between two possible states.
However, the designation has since been applied to the Queensway west of the interchange between the two freeways.
As part of the initial phase of Highway 407, Highway 427 was extended north to Highway 7 in Vaughan and began with the construction of the interchange between the two in 1988.
An extension north of Dixon/Airport Road began in 1976 as part of the work to build Highway 409, and it included the construction of the interchange between the two freeways.
We employed two standard supervised methods, k-nearest neighbors (k = 7, and 10 marker genes) and support vector machines (using all genes in common) and interchanged the roles of the two sets as train and test (details are described in the Materials and Methods).
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