Such a function can lead to cumbersome designs and bulky circuits. In literature, the most widely used circuit to obtain the \(\tanh {(\cdot )}\) is composed of 4 NPN transistors, 11 resistors, where 5 are prec
Growth of science is a prevalent issue in science of science studies. In recent years, two new bibliographic databases have been introduced, which can be used to study growth processes in science from centuries back: Dimensions from Digital Science and M
In this paper, we analyze the occurrence of critical transitions as a parametercvaries for two different types of one-parametric equations of (1.1) type, which now we write as. For both models, the functionvaries continuously with the parameterc, and the most basic type of critical transition...
Piecewise LGM v1@1v2@1v3@1v4@1v5@1; At this point I have tried many models and have large standardized residuals with each model, except one that may not be identified. The best-fitting model is a 3-piece piecewise:
Consider the Jacobian functionJϕ=|det(Dϕ)|, naturally defined on the (full Lebesgue measure) subset of points in Ω where ϕ is differentiable. We say that ϕ has bounded distortion if (P2) there is Δ≥0 such that for all R∈R and all x,y∈int(R)logJϕ(x)J...
s(3i,A)hasasimilarmeaningforcubiccasewhichwasstudiedbyKumarandDasin【3]. ThesplineintheclassS(4,A)involvesparameters,mlandm2.Theapproximationofthe functionnaturallydependsontheparameters,whichareselectedSOthattheerrorisminimum. Wealsoconsiderdeviationofthesecondderivativeofthefunctionandthesplinefunction. ...
function has(obj: PiecewiseVisualMapOption['target'], state: VisualState, visualType: BuiltinVisualProperty) { return obj && obj[state] && obj[state].hasOwnProperty(visualType); } super.completeVisualOption.apply(this, arguments as any); ...
{0}\) and v represent the scaled magnitude and the velocity of the moving load; \(\delta (\ldots )\) denotes the Dirac delta function, and \(H(\ldots )\) the Heaviside function; \(\mathrm {0}\) and L represent the positions of the left and right boundaries of the computational...
Second, there is the numerics issue, meaning that the algorithms (see below) used to find the solution\(\hat {\mathbf {x}}\)failed due to the too wide range of the processed values. However, for short signals (likeN≤500), this problem was solved by taking the time instants not as ...
In the aforementioned system, the function 𝐵(𝑥,𝑧)B(x,z) represents the investment function, which translates into the capacity to produce. This function is piecewise defined as follows: 𝐵(𝑥,𝑧)=⎧⎩⎨ 0,𝐼𝑚,𝐼ℎ,𝑅(𝑥,𝑧)≤00<𝑅(𝑥,𝑧)≤𝛿𝑅(...