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2 wrz 2011 · The geometric mean of relative abundance indices, G, is increasingly being used to examine trends in biological diversity and to assess whether biodiversity targets are being met. Here, we explore the mathematical and statistical properties of G that make it useful for judging temporal change in biological diversity, and we discuss its ...
Absolute geometry is an incomplete axiomatic system, in the sense that one can add extra independent axioms without making the axiom system inconsistent. One can extend absolute geometry by adding various axioms about parallel lines and get mutually incompatible but internally consistent axiom systems, giving rise to Euclidean or hyperbolic ...
Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer. Word problems in math can be identified by the use of language that describes a situation or scenario.
13 lis 2011 · In this thesis he proved the Saccheri-Legendre theorem which states that in absolute geometry the sum of the angles in a triangle is at most 180 °. By absolute geometry, we mean geometry satisfying the axioms of Euclidean geometry except for the parallel postulate.
1 kwi 2016 · The Gould–Mosimann school defines allometry as the covariation of shape with size. This concept of allometry is implemented in geometric morphometrics through the multivariate regression of shape variables on a measure of size.
WINDING THE DOUBLE HELIX: USING GEOMETRY, TOPOLOGY, AND MECHANICS OF DNA 155 introduces the concepts necessary to describe the mechanical equilibria of closed circular DNA and gives an analysis of transitions of superhelical transitions, dealing specifically with strand separation.
20 sie 2020 · Computational algebraic techniques such as Gröbner bases can be motivated by solving systems of equations from a biological problem—perhaps a Boolean model of a molecular network or a nonlinear system of differential equations from a biochemical reaction network.
