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4 cze 1999 · Fractal-like networks effectively endow life with an additional fourth spatial dimension. This is the origin of quarter-power scaling that is so pervasive in biology. Organisms have evolved hierarc...
When an organ grows at the same rate as the rest of the body, α = 1, a condition called isometry. Such an organ maintains a constant proportionate size (but not absolute size) throughout...
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 ...
In scientific jargon, law describes a true, absolute and unchanging relationship among interacting elements. Unlike in some fields, social customs and authorities do not determine the establishment of laws in science.
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 ...
4 kwi 1997 · Allometric scaling relations, including the 3/4 power law for metabolic rates, are characteristic of all organisms and are here derived from a general model that describes how essential materials are transported through space-filling fractal networks of branching tubes.
Biological structures run the gamut in sizes from the nanometer scale of the individual macromolecules of life all the way up to the gigantic cyanobacterial blooms in the ocean that can be seen from satellites. As such, biologists can interest themselves in phenomena spanning more than 15 orders of magnitude in length scale.