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Lebesgue's decomposition theorem can be refined in a number of ways. First, as the Lebesgue-Radon-Nikodym theorem . That is, let ( Ω , Σ ) {\displaystyle (\Omega ,\Sigma )} be a measure space, μ {\displaystyle \mu } a σ-finite positive measure on Σ {\displaystyle \Sigma } and λ {\displaystyle \lambda } a complex measure on Σ ...
Multiregional evolution holds that the human species first arose around two million years ago and subsequent human evolution has been within a single, continuous human species. This species encompasses all archaic human forms such as Homo erectus , Denisovans , and Neanderthals as well as modern forms, and evolved worldwide to the diverse ...
The hominoids are descendants of a common ancestor.. Homo sapiens is a distinct species of the hominid family of primates, which also includes all the great apes. [1] Over their evolutionary history, humans gradually developed traits such as bipedalism, dexterity, and complex language, [2] as well as interbreeding with other hominins (a tribe of the African hominid subfamily), [3] indicating ...
McHenry travels regularly to Africa to extend his knowledge of human origins, focusing his studies on the fossil remains of australopithecines.The best-known of which are the 3.2-million-year-old remains of 'Lucy', discovered in 1974 by Donald Johanson of the Institute for Human Origins.
A developmental model of the evolution of the mind, culture, and society was the result, paralleling the evolution of the human species: [23] "Modern savages [sic] became, in effect, living fossils left behind by the march of progress, relics of the Paleolithic still lingering on into the present."
Human Brain Evolution: The Influence of Freshwater and Marine Food Resources. Wiley. ISBN 978-0-470-60987-3. Hardy A (17 March 1960). "Was Man More Aquatic in the Past?". New Scientist. 7 (174): 642– 45. [permanent dead link ] Langdon JH (October 1997). "Umbrella hypotheses and parsimony in human evolution: a critique of the Aquatic Ape ...
Cave paintings (such as this one from France) represent a benchmark in the evolutionary history of human cognition. Victorian naturalist Charles Darwin was the first to propose the out-of-Africa hypothesis for the peopling of the world, [40] but the story of prehistoric human migration is now understood to be much more complex thanks to twenty-first-century advances in genomic sequencing.
"Now, here, you see, it takes all the running you can do, to keep in the same place." — Lewis Carroll [4]. In 1973, Leigh Van Valen proposed the hypothesis as an "explanatory tangent" to explain the "law of extinction" known as "Van Valen's law", [1] which states that the probability of extinction does not depend on the lifetime of the species or higher-rank taxon, instead being constant ...