Difference between revisions of "Scale"
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According to Prof. Gautam Dasgupta, The idea of scale and [[scale-free]] ideas can be elegantly represented using [[Tensor]]. The often overlooked property of Tensor as a unique field of mathematical notion, is that it is a kind of [[Universal Data Abstraction]], since tensors can be thought of either [[operator]]s, or an [[operand]]s, in other words, [[verb]]s or [[noun]]s in a mathematical expression. Moreover, its expressiveness, is extensible and universal, meaning that one can arbitrarily extend the notion to represent numbers, pictures, uniquely named items, and it can also be used recursively to represent any other mathematically equivalent expressions. | According to Prof. Gautam Dasgupta, The idea of scale and [[scale-free]] ideas can be elegantly represented using [[Tensor]]. The often overlooked property of Tensor as a unique field of mathematical notion, is that it is a kind of [[Universal Data Abstraction]], since tensors can be thought of either [[operator]]s, or an [[operand]]s, in other words, [[verb]]s or [[noun]]s in a mathematical expression. Moreover, its expressiveness, is extensible and universal, meaning that one can arbitrarily extend the notion to represent numbers, pictures, uniquely named items, and it can also be used recursively to represent any other mathematically equivalent expressions. | ||
=Moore's Law and Scale= | |||
[[Moore's law]] is the most direct relation of [[physical scale]]s and [[scale-free]] information. | |||
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Revision as of 06:55, 3 September 2021
According to Prof. Gautam Dasgupta, The idea of scale and scale-free ideas can be elegantly represented using Tensor. The often overlooked property of Tensor as a unique field of mathematical notion, is that it is a kind of Universal Data Abstraction, since tensors can be thought of either operators, or an operands, in other words, verbs or nouns in a mathematical expression. Moreover, its expressiveness, is extensible and universal, meaning that one can arbitrarily extend the notion to represent numbers, pictures, uniquely named items, and it can also be used recursively to represent any other mathematically equivalent expressions.
Moore's Law and Scale
Moore's law is the most direct relation of physical scales and scale-free information.