Sentence examples for catastrophe system from inspiring English sources
In each hierarchy, the indices form a different catastrophe system.
Different states of the control variables in the catastrophe system are then transformed into state variables using normalization formula.
Let ( f(x) ) be the potential function of the catastrophe system, and the critical points of the potential function form an equilibrium surface according to the catastrophe theory.
For the cusp catastrophe system, the bifurcation point set equation is a = - 6x^{2},quad{b = 8x^{3}}, (7)and its normalization formulas are x_{a} = sqrt {left| a right|},quad{x_{b} = root{3} of {left| b right|}}.
For the swallowtail catastrophe system, the decomposition forms of the bifurcation point set equation are a = - 6x^{2},quad{b = 8x^{3}},quad{c = - 3x^{4}}, (9)and the normalization formulas are x_{a} = sqrt {left| a right|},quad{x_{b} = root{3} of {left| b right|}},quad{x_{c} = root{4} of {left| c right|}}.
For the butterfly catastrophe system, the decomposition forms of the bifurcation point set equation are a = - 10x^{2},quad{b = 20x^{3}},quad{c = - 15x^{4},d = 4x^{5}}, (11)and the normalization formulas are x_{a} = sqrt {left| a right|},quad{x_{b} = root{3} of {left| b right|}},quad{x_{c} = root{4} of {left| c right|}},quad{x_{d} = root{4} of {left| d right|}}.
There are seven types of catastrophe systems, wherein the most four common types are folded catastrophe, cusp catastrophe, swallowtail catastrophe, and butterfly catastrophe.
Based on catastrophe theory, the decomposition forms of the equation and normalization formulas of three conmen catastrophe systems are obtained as follows [17, 18].
The full list of "risks that threaten human civilisation, according to Global Challenges Foundation: Extreme climate change Nuclear war Global pandemic Ecological catastrophe Global system collapse Major asteroid impact Super-volcano Synthetic biology Nanotechnology Artificial intelligence Unknown consequences Future bad global governance.
The topology characteristics of the networks can be used to forecast catastrophes of the system.
Furthermore, the proposed guideline can be used to understand which usability criteria would be helpful in explaining usability problems as well as preventing banking system catastrophes, by highlighting the critical parts in system design of banking software.
