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,
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...
There were five critical parameters and functions in the model, the intrinsic oscillation frequency ωα of the α cell, the intrinsic oscillation frequency ωβ of the β cell, hormone release function fs (θ), α cell response function frα (θ), and β cell response function frβ (θ)....
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...
Exponential and logarithmic functions are examples of non-algebraic functions, also called ___ functions. Transcendental Functions: A function which cannot be written as a finite combination of addition, subtraction, multiplication, division, raising to a power and extracting ...
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...
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...
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...
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...
Data were fitted by single exponential equations: s-OL/astrocyte: y ¼ 165.2 Â e( À 0.27 Â x) þ 1.46 (dotted line); s-OL/s-OL: y ¼ 10.76 Â e( À 0.249 Â x) þ 0.435 (black line). (d) Left: the gap–junction blocker carbenoxolone (CBX) reduced the ...