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Catastrophe theory studies dynamical systems that describe the evolution [5] of a state variable over time : ˙ = = (,) In the above equation, is referred to as the potential function, and is often a vector or a scalar which parameterise the potential function.
For example, some unicellular organisms have genomes much larger than that of humans. Cole's paradox: Even a tiny fecundity advantage of one additional offspring would favor the evolution of semelparity. Gray's paradox: Despite their relatively small muscle mass, dolphins can swim at high speeds and obtain large accelerations.
In geology, catastrophism is the theory that the Earth has largely been shaped by sudden, short-lived, violent events, possibly worldwide in scope. [1] This contrasts with uniformitarianism (sometimes called gradualism ), according to which slow incremental changes, such as erosion , brought about all the Earth's geological features.
Almgren–Pitts min-max theory; Approximation theory; Arakelov theory; Asymptotic theory; Automata theory; Bass–Serre theory; Bifurcation theory; Braid theory
The doomsday argument (DA), or Carter catastrophe, is a probabilistic argument that claims to predict the future population of the human species based on an estimation of the number of humans born to date. The doomsday argument was originally proposed by the astrophysicist Brandon Carter in 1983, [1] leading to the initial name of the Carter ...
His books on catastrophe theory and on differential geometry and relativity are still in print after a third of a century. His academic career was carried out in a series of research centres, including Rio de Janeiro, Rochester NY, Porto, Geneva, Stuttgart, Charleston SC, Santa Cruz CA, Los Angeles CA, Pohang, Singapore, and Bangalore.
René Frédéric Thom (French: [ʁəne tɔm]; 2 September 1923 – 25 October 2002) was a French mathematician, who received the Fields Medal in 1958.. He made his reputation as a topologist, moving on to aspects of what would be called singularity theory; he became world-famous among the wider academic community and the educated general public for one aspect of this latter interest, his work ...
[1] The book seeks to explain and describe the "mysterious" sociological changes that mark everyday life. As Gladwell states: "Ideas and products and messages and behaviors spread like viruses do." [ 2 ] The examples of such changes in his book include the rise in popularity and sales of Hush Puppies shoes in the mid-1990s and the steep drop in ...