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Mathematical and theoretical biology, or biomathematics, is a branch of biology which employs theoretical analysis, mathematical models and abstractions of living organisms to investigate the principles that govern the structure, development and behavior of the systems, as opposed to experimental biology which deals with the conduction of ...
[4] The animation that is looped above right provides an example of a homotopy between two embeddings , f and g , of the torus into R 3 . X is the torus, Y is R 3 , f is some continuous function from the torus to R 3 that takes the torus to the embedded surface-of-a-doughnut shape with which the animation starts; g is some continuous function ...
Physics – negentropy, stochastic processes, and the development of new physical techniques and instrumentation as well as their application. Quantum biology – The field of quantum biology applies quantum mechanics to biological objects and problems. Decohered isomers to yield time-dependent base substitutions. These studies imply ...
In an axiomatic treatment of geometry, the notion of betweenness is either assumed to satisfy a certain number of axioms, or defined in terms of an isometry of a line (used as a coordinate system). Segments play an important role in other theories. For example, in a convex set, the segment that joins any two points of the set is contained in ...
In mathematics, a real interval is the set of all real numbers lying between two fixed endpoints with no "gaps". Each endpoint is either a real number or positive or negative infinity, indicating the interval extends without a bound. A real interval can contain neither endpoint, either endpoint, or both endpoints, excluding any endpoint which ...
The NFL playoff picture is complete. Here's how the AFC and NFC fields ended up after Week 18, with the wild-card round up next.
In my work, the bond between dogs and their environment is presented in an intimate way. Each image tells the story of a dog in harmony with its surroundings, whether it is a mystical forest or a ...
Kate Middleton’s return to greeting the public on Christmas Day was a poignant moment, not just for her, but for the many who had been eagerly awaiting her comeback after a difficult year. For ...