The resulting action is seen to be the same as a partial differential equation whose solutions may be obtained by conjugation from the solutions of the differential equations that make up the exponential. Furthermore, we show that this method of conjugation, under some conditions, is an ...
Massachusetts Institute of Technology professor,Gilbert Strang,explains differential equations and linear algebra which are two crucial subjects in science and engineering. This video series develops those subjects both separately and together and supplementsGil Strang's textbookon this subject. xn, sin(x)...
By establishing an exponential estimate for delay differential inequality with impulsive initial condition and employing Banach fixed point theorem, we obtain several sufficient conditions ensuring the existence, uniqueness and global exponential stability of a periodic solution for nonlinear impulsive delay ...
9 RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook partial differential equation Thesaurus Acronyms Encyclopedia Wikipedia n. A differential equation containing at least one partial derivative. American Heritage® Dictionary of the English Language, Fifth Edition. Copyrig...
may shape the behavior of inhibitory neuronal circuits by tuning Cl−homeostasis, thus altering the strength of inhibitory transmission. This form of plasticity, also known as ionic plasticity29, in turn, impacts on the potentiality for plasticity at excitatory synapses (metaplasticity)30. In this ...
a Laplace distribution. Alternatively, beta results were scaled based on an exponential distribution. The first option does not touch the (beta) distribution into the two samples, while the latter option does not change the number of fragments. There is also the possibility to apply no scaling....
Defective sperm function is the largest single defined cause of human infertility and one of the major reasons we are witnessing an exponential increase in... RJ Aitken,BJ Curry - 《Antioxidants & Redox Signaling》 被引量: 360发表: 2011年 Apoptosis and DNA damage in human spermatozoa DNA damag...
We provide a survey on recent results on noncompact simply connected harmonic manifolds, and we also prove many new results, both for general noncompact harmonic manifolds and for noncompact harmonic manifolds with purely exponential volume growth. ...
In this section, we will apply the Lyapunov functions and algebraic inequality techniques to investigate the pth moment exponential ultimate boundedness of system (1). Theorem 3.1 Assume that there exist a function V(t,x)∈C1,2(Rt0×Rn,R+) and several constants Υ≥0, ξ>1, βk>0, c1...
In view of the fact that the Laplace mechanism is only applicable to numerical query results, and in many practical applications, only numerical query results are often not enough to meet the needs, so the exponential mechanism is proposed to make up for the shortcomings of the Laplace mechanism...