An elliptic curve is a group of points of the form P=(x,y) and a special point "at infinity" that is an honorary member of the curve. These points satisfy some equations and most importantly, one can add two points on the curve to get another and this addition makes the curve into...
The bifurcation diagram of an elliptic Kirchhoff-type equation with respect to the stiffness of the materialNehari ManifoldVariational methodsExtremal parameterKirchhoffYoung’s modulusStiffnessWe study a superlinear and subcritical Kirchhoff-type equation which is variational and depends upon a real parameter...
4.1. Elliptic Curve Cryptography (ECC) Let 𝐸/𝐹𝑝 be a set of elliptic curve points over a prime field 𝐹𝑝, defined by the following non-singular elliptic curve: 𝑦2𝑚𝑜𝑑𝑝=(𝑥3+𝑎𝑥+𝑏)𝑚𝑜𝑑𝑝 (1) where 𝑥,𝑦,𝑎,𝑏∈𝐹𝑝 and (4𝑎3...
Therefore, we assume that the water content distribution in the unsaturated zone follows an elliptic curve (Figure 1). Figure 1. Schematic diagram of the Green-Ampt model. (2) Due to the presence of a water-repellent layer, the saturated conductivity is likely to change. Therefore, we ...
Seeley, R.: Complex powers of an elliptic operator. Proc. Sympos. Pure Math. 10, 288–307 (1967) Article MathSciNet Google Scholar Solonnikov, V.A.: Estimates of the solution of a certain initial-boundary value problem for a linear nonstationary system of Navier-Stokes equations, Zap....
Figure 3a shows the ground state solution curve of the wave function Ψ together with its projections on the three components using the squares of the two-norm with respect to the chemical potential μ, where the portions (i) and (ii) were obtained by implementing Levels 1 and 2, ...
ECC Blocked Function Count: This counter counts the total number of the elliptic-curve cryptog- raphy (ECC) functions that are issued by the CPU and are blocked because the ECC coprocessor is busy performing a function issued by another CPU. ECC Blocked Cycle Count: This counter counts the ...
This conjecture proposes a way to count the diversity of the arithmetic data defining an elliptic curve (a two-torus written as a quadratic-cubic equation in complex variables; named in this way because of links to the "elliptic integrals") by the Hasse-Weil L-function. ...
Energy-dissipation elastomers relying on their viscoelastic behavior of chain segments in the glass transition region can effectively suppress vibrations and noises in various fields, yet the operating frequency of those elastomers is difficult to contro
ECDSA [55,56] Elliptic Curve Cryptography (ECC) is an alternative to RSA for digital signature development based on elliptic curve theory that produces quicker, smaller, and more powerful cryptographic keys. The algorithm’s strength levels derive from the problem of solving the discrete logarithm ...