Key to such advancements was the incorporation of new discoveries in neuroscience research, the transition away from strict structural replication and towards the functional replication of neural systems, and the use of mathematical theory frameworks to guide algorithm and hardware developments.
Arianna Huffington has been hitting Wall Street banks hard and rightfully so! Below Mr. Buffett and Mr. Munger speak about the dangers of mathematical theories, making clear their mistrust of the use of "higher-order mathematics in finance".
But rather than supporting the existence of mathematical objects, the argument would only support commitment to modal-structural translations of mathematical theories and the possibility of mathematical structures.
In reality, the device depends on a complex tangle of mathematical theory, a vast amount of computing power and the use of "metamaterials".
Theoretical models have also been developed to study the physics of phase transitions, such as the Ginzburg Landau theory, critical exponents and the use of mathematical techniques of quantum field theory and the renormalization group.
The use of mathematical analysis methods from elasticity theory had allowed the study of the stress field that develops within the sample under different loading geometry.
A systems biological approach can help to make sense of complex dynamic regulatory networks through the use of mathematical models and dynamical system theory [ 25, 26].
This means, roughly, that whenever a statement of an empirical theory can be derived using mathematics, it can in principle also be derived without using any mathematical theories.
September 22, 1920 Des Moines, Iowa June 26 , 1993Rochester, New York William Riker, in full William Harrison Riker (born September 22 , 1920 Des Moines, Iowa, U.S. died June 26 , 1993 Rochester, New York) American political scientist who popularized the use of mathematical models, and in particular game theory, in the study of political behaviour.
This paper describes a technique for identification of the knowledge structures implicit in scientific data and further develops the supporting methodology for analysis of fuzzy relational structures using the mathematical theory of Fuzzy Relations and Generalized Morphism.
