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The total size (N t)) is assumed to be sufficiently large in order to approximate the population as a continuum of points.
When these functions are defined over a continuum of points of a mathematical space, the tensor forms what is called a tensor field, a generalization of vector field used to solve problems involving curved surfaces or spaces, as it is the case of curved space‐time in general relativity.
In classical mechanics a "really existing" 4-D continuum of points provides the places for the assumed-to-exist real particles to be.
Along the continuum of points of contact for postpartum family planning we also explored the association of ANC visits, institutional delivery, and child immunisation (DTP3 as proxy) with postpartum modern contraceptive use.
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Ockham recognizes that it follows from the property of density that on arbitrarily small stretches of a line infinitely many points must lie, but resists the conclusion that lines, or indeed any continuum, consists of points.
An interpolation of point data showed sites of high crossing frequency within the continuum of crossing points.
In the vicinity of the continuum of equilibrium points, the system hardly provides resistance to bending, and hence external disturbances easily cause loss of stability.
One might think that (i) all material objects must always be topologically open and gunky, that (ii) any part of a material object must itself be a material object, and that (iii) space or spacetime is a continuum of simple points, each plurality of which composes a region.
Its fixed points form a graph, which is generically (in terms of ) nonempty, and is generically the Johnson graph ; in the nongeneric case, either it is a retract of the Johnson graph, or there is a topological continuum of fixed points.
Using the end-point progression scoring system allowed reasonable comparison of these two chemicals, if desired, by linking the preneoplastic score of 4 for resmethrin, to the neoplastic score of 5 for metaldehyde, along the continuum of end-point progression.
He ought, rather, to have had his attention drawn by such consequences to the fact that the whole conception of the line and of other continua as sets of points runs counter to the concept of contact and thereby abolishes precisely what makes up the essence of the continuum".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com