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This rewrite of the second order equilibrium equations of elasticity in a 3-dimensional space as first order equations in a 6-dimensional space is analogous to replacing the Laplace equation by the Riemann Cauchy equations.
The main variables used were gradient time (tG), temperature (T) and the pH of eluent A. The best critical resolution was calculated and located in a 3-dimensional space in an automated fashion and the corresponding best experiments were carried out.
Figure 3 Graphical interpretation of the N-FINDR algorithm in a 3-dimensional space.
Previous projects range from intricate boxes that open automatically when approached to audio/visual experiences that are displayed in a 3-dimensional space.
Hence, it is necessary to calculate the probability to arrive in a 3-dimensional space after three steps with completely random orientations and equal step length R in a distance r + dr from the starting point.
Human has two ears to receive sound waves in a 3-dimensional space: not only is the time and frequency information perceived needing just individual ears but also spatial information or localization information needing both ears for spatial sampling.
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We regard the hypothesis space in this learning problem as a 3-dimensional space consisting of w1, w2, and w3, i.e., a set of weight vectors w →.
Imagine a system of 3N mutually orthogonal coordinates in a 3N-dimensional space (a space of more than three dimensions is a purely mathematical construction, sometimes known as a hyperspace).
When one moves to the complex numbers, the same condition can be met in two dimensions, and Kelly's theorem asserts that the points must lie in a 2-dimensional space.
The systematic reflection conditions associated with the main and satellite reflections demonstrate that the Bravais class of the Z2 phase is PCmmm111 type in a (3+1) dimensional space for the incommensurate modulated structure.
It defines a K-dimensional signal subspace in a 6M-dimensional space [6].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com