A general setting is given for smooth interpolating splines depending on a parameter such that as this parameter approaches infinity the spline converges to the piecewise linear interpolant. The theory includes the standard exponential spline in tension, a rational spline, and several cubic splines. An algorithm is given for one of the cubics; the parameter for this example controls the spacing...

A recent two-parameter fatigue model, aimed at the prediction of the fatigue behaviour of composite materials, was applied to fatigue results available in the literature, concerning graphite/epoxy laminates subjected to tension-compression loadings. It was found that the model, successfully applied in the case of tension-tension and compression-compression fatigue, also works when the sign of s...

In this paper we present a non-stationary 4-point ternary interpolatory subdivision scheme which provides the user with a tension parameter that, when increased within its range of definition, can generate C2-continuous limit curves showing considerable variations of shape. As a generalization we additionally propose a locally-controlled C2-continuous subdivision scheme, which allows a differen...

While studying the first principle of thermodynamics under relativistic conditions, nobody in the 20th century took into consideration a surface tension; meanwhile this thermodynamic parameter is as important as the pressure p. Both Planck with his disciple and Einstein wrote down the first principle of thermodynamics under relativistic conditions neglecting the surface tension as well. Besides...

While studying the first principle of thermodynamics under relativistic conditions, nobody in the 20th century took into consideration a surface tension; meanwhile this thermodynamic parameter is as important as the pressure p. Both Planck with his disciple and Einstein wrote down the first principle of thermodynamics under relativistic conditions neglecting the surface tension as well. Besides...

Recently, the so-called Hubble Tension, i.e. mismatch between local and cosmological measurements of parameter, has been resolved when non-particle dark matter is considered which a negative equation state parameter ($\omega \approx -0.01$). We investigate if such candidate can successfully describe galactic flat rotation curves. It found that curve feature puts stringent constraint on $\omega$...

While studying the first principle of thermodynamics under relativistic conditions, nobody in the 20th century took into consideration a surface tension; meanwhile this thermodynamic parameter is as important as the pressure p. Both Planck with his disciple and Einstein wrote down the first principle of thermodynamics under relativistic conditions neglecting the surface tension as well. Besides...

We show the existence of noncircular, self-similar solutions to the three-dimensional Hele-Shaw suction problem with surface tension regularisation up to complete extinction. In an appropriate scaling, these solutions are found as bifurcation solutions to a nonlocal elliptic equation of order three. The bifurcation parameter is the ratio of the suction speed and the surface tension coefficient....

Taking advantage of Gaussian process (GP), we obtain an improved estimate the Hubble constant, $H_0=70.41\pm1.58$ km s$^{-1}$ Mpc$^{-1}$, using parameter [$H(z)$] from cosmic chronometers (CCH) and expansion rate function [$E(z)$], extracted type Ia supernovae, data. We also use CCH data, including ones with full covariance matrix, $E(z)$ data to a determination $H_0=72.34_{-1.92}^{+1.90}$ whic...