Moreau, A. Oustaloup, Fractional behaviour of partial differential equations whose coefficients are exponential functions of the space variable, Mathematical and Computer Modelling of Dynamical Systems: Methods, Tools and Applications in Engineering and Related Sciences, Vol.19, N掳5, 2013...
What similarities and differences might there be between functions and linear equations? Are all linear equations functions? Inverse transformation of two change in variables problems: Question 1: How to algebraically get from u = x + 2y ; v = x - 2y TO x...
Assumin. th e conclusion is tru e for n-1 exponential functions, w e will prov e that it is tru e for n exponential function.(5)这两个定义在逻辑上是互相等价的。Th e. e two definitions ar e logically equivalenc e.(6)设X是线性空间V中k个元素组成的一个线性无关集合,L(X)是由X...
How are polynomial and exponential functions different? Identify the property of real numbers used in the below equation and explain. -4(x+4)=-4x-16 What makes monomials like terms? Explain the negative exponent rule and give an example. ...
or to automate certain tasks where only certain types of data are accepted. It's also often used in mathematics or programming to represent division operations, absolute value calculations and exponential functions. Additionally, when combined with forward slashes (/), backslash creates paths that dir...
To construct probability density functions (PDF) over the SLC at a set timepoint, a non-uniform prior is used to account for expert knowledge that not all values of the melt parameter are equally likely. The choice of a log-normal prior is standard in such cases, and is described by two...
Anyway, back to our problem. To make the calculations, we need to make a couple of key assumptions, namely the pressure outside the aircraft as it climbs and the pressure inside the cabin. The drop in atmospheric pressure with altitude is well-known and follows an exponential decay according...
The Ca2+ modulated pulsatile glucagon and insulin secretions by pancreatic α and β cells play a crucial role in glucose homeostasis. However, how α and β cells coordinate to produce various Ca2+ oscillation patterns is still elusive. Using a microfluidic device and transgenic mice, we recorded...
Scaled Exponential Linear Units (SELU), see ArXiv:1706.02515 "Self-Normalizing Neural Networks", by Günter Klambauer et al. Exponential logarithmic Units (ELogU) ( alpha*(exp(x)-1) for x<0 and log(x+1)/log(b) for x>0 ). I haven't seen a description of this kind of units in ...
A group G is said to be equationally Noetherian if every system of equations in G is equivalent to a finite subsystem. We show that all free-by-cyclic groups are equationally Noetherian. As a corollary, we deduce that the set of exponential growth rates of a free-by-cyclic group is wel...