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geometric interpretation

Geometric Interpretation of the Minkowski Metric

Geometric Interpretation of the Minkowski Metric

... A novel geometric interpretation of the Minkowski metric is provided, which offers a different and more intuitive approach to phenomena in special relativity. First it is shown that a change of basis in ...

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Geometric interpretation of the three dimensional coherence matrix for nonparaxial polarization

Geometric interpretation of the three dimensional coherence matrix for nonparaxial polarization

... such as a Rayleigh particle, responds only to the statistical E field at its position, i.e. the coherence matrix. It is therefore possible that classic problems such as atmospheric radiative transfer [25] may be analysed ...

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A New Test for Multivariate Ordered Alternatives:  Medical Application and Geometric Interpretation

A New Test for Multivariate Ordered Alternatives: Medical Application and Geometric Interpretation

... The rest of the paper is organized as follows. The test statistic based on the likelihood ratio criterion which has the general form under the restricted alternative hypothesis is obtained in Section 2. In Section 3, the ...

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Geometric Interpretation of the Minkowski Metric

Geometric Interpretation of the Minkowski Metric

... A novel geometric interpretation of the Minkowski metric and thus of phenomena in special relativity is provided. It is shown that a change of basis in Minkowski space is the equivalent of a change of basis ...

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Geometric interpretation of Blundon’s inequality and Ciamberlini’s inequality

Geometric interpretation of Blundon’s inequality and Ciamberlini’s inequality

... a geometric interpretation of Blundon’s in- equality and Ciamberlini’s ...a geometric interpretation of Blundon’s inequality and Ciamberlini’s ...the geometric interpretation of ...

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Geometric Interpretation of Physical Systems for Improved Elasticity Simulations

Geometric Interpretation of Physical Systems for Improved Elasticity Simulations

... the geometric and physical DOFs coincide, eliminating the non-sparsity issue of reduced spaces; one can reuse the exact same material simulator, but now on a coarse embedding mesh rather than on a fine, detailed ...

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Classification of Satellite broadcasting Image and Validation Exhausting Geometric Interpretation

Classification of Satellite broadcasting Image and Validation Exhausting Geometric Interpretation

... Abstract— Classification of Land Use/Land Cover (LULC) data from satellite images is extremely remarkable to design the thematic maps for analysis of natural resources like Forest, Agriculture, Water bodies, urban areas ...

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A novel bibliometric index with a simple geometric interpretation

A novel bibliometric index with a simple geometric interpretation

... We start by presenting, in Table 1, the basic statistics for the various indices introduced in pffiffiffi pffiffiffi Section 1; h, g, A, R, E, χ, C and P, stand for the h-index, the g-in[r] ...

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Quantum cosmology of (loop) quantum gravity condensates : an example

Quantum cosmology of (loop) quantum gravity condensates : an example

... the geometric interpretation of LQG spin network states, which is obtained by viewing LQG as a quantisation of a classical action for general ...classical geometric quantities involves a detailed ...

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A geometric realization of confinement

A geometric realization of confinement

... a geometric description of un-Higgsing, naturally leads us to consider D-branes which wrap around chains as opposed to ...simple geometric interpretation of gauge confinement which we believe has ...

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Comparison between Penalty method and Lagrangian Multiplier Method

Comparison between Penalty method and Lagrangian Multiplier Method

... In this paper we will deal with quadratic penalty function method and discuss the original multiplier method with geometric interpretation. After that existence of local minima of the Augumented Lagrangian ...

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An Interpretation of Relativistic Spin Entanglement Using Geometric Algebra

An Interpretation of Relativistic Spin Entanglement Using Geometric Algebra

... ˆ geometric interpretation of this overall factor of −1 may still be puzzling, but at least its presence reinforces the idea that spin states are correctly modelled as spinors in the APS representation, ...

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Sharp bounds for cyclic sums of the ratio of the exradius to the sides of a triangle

Sharp bounds for cyclic sums of the ratio of the exradius to the sides of a triangle

... of geometric interpretation of the Blundon in- equality (see Wu and Chu [] for details), which provides a useful method for proving the inequalities concerning sides, circumradius, and inradius of a ...

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Pairing  computation  on  Edwards  curves  with  high-degree  twists

Pairing computation on Edwards curves with high-degree twists

... The aim of this section is to give the elaborate geometric interpretation of the group law on twisted Edwards curves which are seen as the intersection of two quadric surfaces in space. We consider ...

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A Mathematical Interpretation of Hawking’s Black Hole Theory by Ricci Flow*

A Mathematical Interpretation of Hawking’s Black Hole Theory by Ricci Flow*

... the geometric interpretation of Hamilton’s Harnack expressions by Chow and Chu in [8], by Perelman in [4], we present a mathematical interpretation of Hawk- ing’s black hole ...mathematical ...

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A twistorial interpretation of the Weierstrass representation formulae

A twistorial interpretation of the Weierstrass representation formulae

... In his paper [112] of 1982 on SU2-monopoles, Hitchin provides an algebraic geometric interpretation of these formulae of Weierstrass, which involves twistor transforming the null curve i[r] ...

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A geometric unification of dualities

A geometric unification of dualities

... the geometric transition (large ‘t Hooft parameter) these cycles which supported the D-branes have disappeared, and have been replaced with flux through a dual ...The geometric transition duality was ...

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Geometric Data Analysis

Geometric Data Analysis

... resources which can be brought together per procurationem through the networks of ‘relations’ of various sizes and differing density…; the concept of symbolic capital , which I had t[r] ...

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A geometric/symmetric series

A geometric/symmetric series

... DESIGN FROM A TANTRIC MANUSCRIPT THEME FROM SAINT MATTHEW I, THEME FROM SAINT MARK KNIGHT GRAVESTONES CLAPBOARD RAIN I and II SCAPE DAY, NIGHT INTEGRATION, DISINTEGRATION Miniature... Ac[r] ...

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Entropy and Geometric Objects

Entropy and Geometric Objects

... This is the first term being relevant for the entropy of the black-hole- the area of the event horizon - i.e. the boundary making the black-hole distinguishable from the “non-black hole” or a “sphere” distinguishable ...

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