In this work, a second-order approximation of the fractional substantial derivative is presented by considering a modified shifted substantial Grünwald formula and its asymptotic expansion. Moreover, the proposed approximation is applied to a fractional diffusion equation with fractional substantial derivative in time. With the use of the fourth-order compact scheme in space, we give a fully di...

Rtms5 is an deep blue weakly fluorescent GFP-like protein ([Formula: see text], 592 nm; [Formula: see text], 630nm; Φ(F), 0.004) that contains a (66)Gln-Tyr-Gly chromophore tripeptide sequence. We investigated the optical properties and structure of two variants, Rtms5(Y67F) and Rtms5(Y67F/H146S) in which the tyrosine at position 67 was substituted by a phenylalanine. Compared to the parent pro...

We show that Witt groups of spinor varieties (aka.\ maximal isotropic Grassmannians) can be presented by combinatorial objects called even shifted young diagram. Our method relies on the Blow-up setup Balmer-Calm\`es, and we investigate connecting homomorphism localization sequence via projective bundle formula Walter-Nenashev, projection Calm\`es-Hornbostel excess intersection Fasel.

It is very well known that the efficiency of an SI engine is limited by knock occurrence. As a compromise between knocking combustion avoidance and an accepted level of efficiency, an engine is typically operated at very close to the knocking boundary. However, the position of an engine knocking boundary is shifted if the fuel composition changes. The description of this abnormal combustion is ...

We prove a Matrix-Tree Theorem enumerating the spanning trees of a cell complex in terms of the eigenvalues of its cellular Laplacian operators, generalizing a previous result for simplicial complexes. As an application, we obtain explicit formulas for spanning tree enumerators and Laplacian eigenvalues of cubes; the latter are integers. We prove a weighted version of the eigenvalue formula, pr...

The sizes for the perceptible or acceptable color difference measured with instruments vary by factors such as instrument, material, and color-difference formula. To compensate for disagreement of the CIELAB color difference ( E*ab) with the human observer, the CIEDE2000 formula was developed. However, since this formula has no uniform color space (UCS), DIN99 UCS may be an alternative UCS at p...

This manuscript describes a review and analysis of the correction factor for come-up time (CUT), introduced by Dr. C. Olin Ball in his famous Formula Method for thermal process calculations. This correction factor has commonly been considered applicable only to the Ball Formula method. In the alternative General Method, the effect of CUT is automatically included in the calculated lethality val...

In this paper, we give an analytic proof of the asymptotic behavior moments characteristic polynomials random symplectic and orthogonal matrices. We therefore obtain alternate, integral expressions for leading order coefficients previously found by Assiotis, Bailey Keating. also discuss conjectures Keating corresponding [Formula: see text]-functions with symmetry. Specifically, show that these ...

We study the spectroscopy of an ensemble negatively charged nitrogen-vacancy centers in diamond at high temperatures between room temperature and [Formula: see text] under vacuum conditions. Spin resonances are studied using optical detection magnetic resonance (ODMR), is employed to radiative transitions. Upon increasing temperature, intensity decay visible infrared decreased. In addition, ODM...