Results 161 to 170 of about 6,195 (194)

Fractal Geometry Metrics for Low-Energy Alcubierre Horizons: A Mathematical Framework for Mars Sample Return Optimization

Abstract  This engineering proposal outlines a theoretical framework for optimizing the Mars Sample Return (MSR) mission by applying supra-laminar quantum metrics. We investigate the possibility of stabilizing micro-Alcubierre horizons using fractal partition distributions of P(10^15), aiming to reduce the negative energy density requirements ...
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Boundary Compensation Mathematics IV BC-M IV: Finite-Resolution Solution Geometry, Quotient Tubes, and Metric-Entropy Profiles

Let (C, dX) be a declared class of admissible realizations, (D, dD) a data space, Π : C → D an observationmorphism, and d ∈ D an observed datum. At finite data precision, the natural object is not the exact fiberΠ−1(d) but the admissible solution tubeF(δ)d = {x ∈ C : dD(Π(x), d) ≤ δ}.After a preregistered equivalence relation ∼δ is imposed, one obtains
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Exact Linear Metric Generation from Symmetric Constitutive Deformations, Part II: Chronon Volumetric Mathematics, Relative Sector Geometry, and Spin-2 Matching

This paper studies exact scalar–photon metric generation within the Chronon Volumetric Mathematics (CVM) framework. Starting from the constitutive class identified in Part I, an exact optical metric is constructed for scalar-gradient deformations and analyzed through its determinant, inverse, and characteristic structure.
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Design of 3D Metric Geometry Study and Research Activities within a BIM Framework

Mathematics, 2022
JOSÉ M Olmos, , Eduardo J Renard-Julián   +2 more
exaly  

FRACTURED FRACTALS AND BROKEN DREAMS: SELF-SIMILAR GEOMETRY THROUGH METRIC AND MEASURE (Oxford Lecture Series in Mathematics and its Applications 7)

Bulletin of the London Mathematical Society, 1999
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Geometry of the Cassinian Metric and Its Inner Metric

Bulletin of the Malaysian Mathematical Sciences Society, 2015
Swadesh Sahoo, Manas Mohapatra, Zair Ibragimov   +2 more
exaly  

Geometry of Curves and Surfaces: Metric Differential Geometry of Curves and Surfaces . By Ernest Preston Lane, professor of mathematics, University of Chicago. Pp. viii + 216. Chicago: The University of Chicago Press. 1940. $3.00.

Science, 1941
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A note on the metric geometry of the unit ball

Mathematische Zeitschrift, 2010
Peter Nickolas
exaly