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The above proposed solution has a nice feature; by choosing, we can choose the coordinates on which and are equal, and this does not require any loss in computational complexity or embedding efficiency.
This paper investigates a model based on parameters other than geographic coordinates, on which the ionosphere is known to depend, and which are more evenly spread over the available data gridpoints.
This extended local similarity computation is realized by comparing the spatial coordinates, on which the neighboring atoms (up to neighbors of degree three, i.e., connected by sequences of up to three bonds) can be placed by rotating some of the connecting bonds.
The peak activation within the left PPC was used to plan a TMS control site ("reach"; see Tables 1 3 for the MNI coordinates on which all stimulation sites are based upon).
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A clique C is now represented by two ordered lists: H(C), a list of lists of semi-squares for each diagonal on which at least one semi-square has its hypotenuse, and B(C) a list of lists of semi-squares for each y-coordinate on which at least one basis of any semi-square in the clique is positioned.
To rectify the situation, a number of stakeholders suggested the establishment, under the patronage of the Ministry of Health, of a national CAM coordinating committee on which all stakeholders would be represented.
The displacements and electric potential are represented by appropriate polynomials in the radial coordinate, of which the coefficients depends on the thickness coordinate, and are called the generalized displacement functions.
The 'data flow' means information about coordinates of polygon vertices, each vertex illumination, normal, texture coordinates, and so on, which permanently arrives in blocs to the shader program.
Similarly, to estimate 3D line segments, we present a novel parametrization based on anchored Plücker coordinates, to which extensible endpoints are added.
Most are based on the atlas of the great Greek geographer Ptolemy, the coordinates for which resurfaced during the Renaissance.
As we listened, we noticed that Carl used the word "coordinates" to describe issues on which he believed the Left and the Right shared common ground.
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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