Validation of combinatorial evaluation of strain-gauge amplifier linearity

This paper describes a validation of a combinatorial calibration technique based calibration procedure for strain-gauge amplifier calibration. The deviation between two strain-gauge amplifiers at calibration using the combinatorial technique is compared to the deviation between the same two amplifiers at calibration on a force calibration machine as a transducer-amplifier chain under unchanged conditions, serving as an amplifier linearity comparator. This enables the validation to be confirmed with a suitable expanded measurement uncertainty of 3 nV/V.

Large spin-Hall effect in non-equilibrium binary copper alloys beyond the solubility limit

Non-magnetic materials exhibiting large spin-Hall effect (SHE) are eagerly desired for high-performance spintronic devices. Here, we report that non-equilibrium Cu-Ir binary alloys with compositions beyond the solubility limit are candidates as spin-Hall materials, even though Cu and Ir do not exhibit remarkable SHE themselves. Thanks to non-equilibrium thin film fabrication, the Cu-Ir binary alloys are obtained over a wide composition range even though they are thermodynamically unstable in bulk form. We investigate the SHE of Cu-Ir by exploiting a combinatorial technique based on spin Peltier imaging, and find that the optimum Ir concentration for enhancing SHE is around 25 at.%. We achieve a large spin-Hall angle of 6.29 ± 0.19% for Cu76Ir24. In contrast to Cu-Ir, non-equilibrium Cu-Bi binary alloys do not show remarkable SHE. Our discovery opens a new direction for the exploration of spin-Hall materials.

COMBINATORIAL TECHNIQUE FOR OPTIMIZING THE COMBINATION

This paper presents an innovative computing method and models for optimizing the combination defined in combinatorics. The optimized combination has been derived from the iterative computation of multiple geometric series and summability by specialized approach. The optimized combinatorial technique has applications in science, engineering and management. In this paper, several properties and consequences on the innovative optimized combination has been introduced that are useful for scientific researchers who are solving scientific problems and meeting today’s challenges.

Fractional Metric Dimension of Generalized Jahangir Graph

Arumugam and Mathew [Discret. Math. 2012, 312, 1584–1590] introduced the notion of fractional metric dimension of a connected graph. In this paper, a combinatorial technique is devised to compute it. In addition, using this technique the fractional metric dimension of the generalized Jahangir graph J m , k is computed for k ≥ 0 and m = 5 .

Encrypting Numbers through Square Grid Graphs

Cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. Encryption is essential for ensured and trusted delivery of sensitive information whereas the decryption is the process of decoding the data which has been encrypted in to a secret format. An authorized user can only decrypt data since decryption requires a secret key or password. There are several methods to encrypt the numbers. In this paper, a combinatorial technique to encrypt and decrypt numbers through labeled strong face of a square grid graph using residue class of Z3 has been investigated.