But in just about every apocalypse-scenario science fiction has given us (The Terminator, The Matrix, anything by Asimov or Dick) it's the creation of a fun-sounding robot that kickstarts humanity's woes.
We have given matrices for the conversion of arbitrary isotopomer, cumomer and mass fraction vectors; recognizing that the set of punctured cumomers of a given moiety (with respect to any determinate isotopic labeling state) is the Reed Muller spectral domain of the corresponding set of isotopomers.
This way of coloring matrices has its roots in the 19th century [40] and gives a quick graphical overview over the matrix value distribution.
Through constructing appropriate Lyapunov-Krasovskii functions and linear matrix inequalities (LMIs), we have given stability criteria corresponding to interactional GRNs.
Films like Universal Soldier, The Matrix, and The Manchurian Candidate have given us a healthy fear of authoritarian biotechnology.
Our results imply that there is a logspace algorithm that decides whether a given matrix has this property.
At the same time, if a given matrix has a sharper diagonally dominant degree, then we may discuss more properties about generalized nonlinear diagonal dominance in [10].
So far as we know, if the given matrix has a sharper diagonally dominant degree, then the designed iterative algorithms has faster convergent rate than the ordinary ones (see [9]).
Starting from a distribution x at time zero, the distribution of p of alleles t generations later can be written on matrix form as p = (1 − μ M ) t x where the matrix M has elements given by M i,i = 1, M i-1, i = M i+1, i = −1/2, and M i, j = 0 otherwise, except at the boundaries where M1,1 = M L, L = 1/2.
Other things he may have given us, according to his Wikipedia page, include virtual sex, "the explosive growth of virtual environments in video games," digital cities, fake Internet personalities, reality television, and the term "matrix".
