Results for 'collinearity'

8 found
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  1. Multiple Regression Is Not Multiple Regressions: The Meaning of Multiple Regression and the Non-Problem of Collinearity.Michael B. Morrissey & Graeme D. Ruxton - 2018 - Philosophy, Theory, and Practice in Biology 10 (3).
    Simple regression (regression analysis with a single explanatory variable), and multiple regression (regression models with multiple explanatory variables), typically correspond to very different biological questions. The former use regression lines to describe univariate associations. The latter describe the partial, or direct, effects of multiple variables, conditioned on one another. We suspect that the superficial similarity of simple and multiple regression leads to confusion in their interpretation. A clear understanding of these methods is essential, as they underlie a large range of (...)
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  2. On Magnetic Forces and Work.Jacob A. Barandes - 2021 - Foundations of Physics 51 (4):1-17.
    We address a long-standing debate over whether classical magnetic forces can do work, ultimately answering the question in the affirmative. In detail, we couple a classical particle with intrinsic spin and elementary dipole moments to the electromagnetic field, derive the appropriate generalization of the Lorentz force law, show that the particle's dipole moments must be collinear with its spin axis, and argue that the magnetic field does mechanical work on the particle's elementary magnetic dipole moment. As consistency checks, we calculate (...)
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  3. Neural Computation of Surface Border Ownership and Relative Surface Depth from Ambiguous Contrast Inputs.Birgitta Dresp-Langley & Stephen Grossberg - 2016 - Frontiers in Psychology 7.
    The segregation of image parts into foreground and background is an important aspect of the neural computation of 3D scene perception. To achieve such segregation, the brain needs information about border ownership; that is, the belongingness of a contour to a specific surface represented in the image. This article presents psychophysical data derived from 3D percepts of figure and ground that were generated by presenting 2D images composed of spatially disjoint shapes that pointed inward or outward relative to the continuous (...)
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  4. Negative and complex probability in quantum information.Vasil Penchev - 2012 - Philosophical Alternatives 21 (1):63-77.
    “Negative probability” in practice. Quantum Communication: Very small phase space regions turn out to be thermodynamically analogical to those of superconductors. Macro-bodies or signals might exist in coherent or entangled state. Such physical objects having unusual properties could be the basis of quantum communication channels or even normal physical ones … Questions and a few answers about negative probability: Why does it appear in quantum mechanics? It appears in phase-space formulated quantum mechanics; next, in quantum correlations … and for wave-particle (...)
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  5. Spatial facilitation by color and luminance edges: boundary, surface, and attentional factors.Birgitta Dresp & Stephen Grossberg - 1995 - Vision Research 39 (20):3431-3443.
    The thresholds of human observers detecting line targets improve significantly when the targets are presented in a spatial context of collinear inducing stimuli. This phenomenon is referred to as spatial facilitation, and may reflect the output of long-range interactions between cortical feature detectors. Spatial facilitation has thus far been observed with luminance-defined, achromatic stimuli on achromatic backgrounds. This study compares spatial facilitation with line targets and collinear, edge-like inducers defined by luminance contrast to spatial facilitation with targets and inducers defined (...)
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  6. Contour Integration Across Gaps: From Local Contrast To Grouping.Birgitta Dresp & Stephen Grossberg - 1997 - Vision Research 7 (37):913-924.
    This article introduces an experimental paradigm to selectively probe the multiple levels of visual processing that influence the formation of object contours, perceptual boundaries, and illusory contours. The experiments test the assumption that, to integrate contour information across space and contrast sign, a spatially short-range filtering process that is sensitive to contrast polarity inputs to a spatially long-range grouping process that pools signals from opposite contrast polarities. The stimuli consisted of thin subthreshold lines, flashed upon gaps between collinear inducers which (...)
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  7. An Extension of Heron’s Formula to Tetrahedra, and the Projective Nature of Its Zeros.Havel Timothy - manuscript
    A natural extension of Heron's 2000 year old formula for the area of a triangle to the volume of a tetrahedron is presented. This gives the fourth power of the volume as a polynomial in six simple rational functions of the areas of its four faces and three medial parallelograms, which will be referred to herein as "interior faces." Geometrically, these rational functions are the areas of the triangles into which the exterior faces are divided by the points at which (...)
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    The Intersect Point Theorem.Soham Dalal - 2020 - Journal of Generalized Lie Theory and Applications 14 (2):1-2.
    In this paper titled 'The Intersect Point Theorem,' I had performed many mathematical operations on a figure formed by three non-collinear points called a triangle. In this paper Using a concept, when two lines intersect at a common point on one of the segments of the triangle, then their cause is defined. I had tried to keep my work in the ordinary language Of Geometry. All these principles keep me researching various geometrical concepts throughout the year.
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