Quotable Mathematics

"In contrast to gravitation, interatomic forces are typically modeled as inhomogeneous power laws with at least two different exponents...

"A neural network consists of large numbers of simple neurons that are richly interconnected. The weights associated with the conne...

"Connectivity harbors other risks too. As we create more links among the nodes of our technological and social networks, these netw...

"The first attempts to consider the behavior of so-called 'random neural nets' in a systematic way have led to a series of prob...

"Nature is a network of happenings that do not unroll like a red carpet into time, but are intertwined between every part of the world;...

"When we study the structure of the atom, we shall arrive at the conclusion that it is an immense reservoir of energy solely constitute...

"Any pattern of activity in a network, regarded as consistent by some observer, is a system, Certain groups of observers, who share a c...

"In a linear world of equilibrium and predictability, the sparse research into an evidence base for management prescriptions and the co...

"The symbols organized by knowledge, or concepts, themselves belong to social nature as its ideological elements. Therefore, by operati...

"Systems, acting dynamically, produce (and incidentally, reproduce) their own boundaries, as structures which are complementary (necess...

"A strategy is usually expressed by a set of heuristic rules. The heuristic rules ease the process of searching for an optimal solution...

"Is it mere coincidence that the universe happens to possess just those properties which allow part of it to be alive? Some people ...

"Technology means the systematic application of scientific or other organized knowledge to practical tasks." (John K Galbraith, ...

"The 'message' of any medium or technology is the change of scale or pace or pattern that it introduces into human affairs....

"Man's general way of thinking of the totality, i.e. his general world view, is crucial for overall order of the human mind itself....

"In relation to any experiment we may speak of this hypothesis as the null hypothesis, and it should be noted that the null hypothesis ...

  "Synergy is the only word in our language that means behavior of whole systems unpredicted by the separately observed behaviors of an...

"Complexity is the characteristic property of complicated systems we don’t understand immediately. It is the amount of difficulties we ...

"The first attempts to consider the behavior of so-called 'random neural nets' in a systematic way have led to a series of ...

"Finite systems of deterministic ordinary nonlinear differential equations may be designed to represent forced dissipative hydrodynamic...