In mathematics, the greatest common divisor (gcd), also known as the greatest common factor (gcf), highest common factor (hcf), or greatest commonmeasure (gcm), of two or more integers (when at least one of them is not zero), is the largest positive integer that divides the numbers without a remainder. For example, the GCD of 8 and 12 is 4.[1][2] This notion can be extended to polynomials, see ...

Masked language models (MLMs) have contributed to drastic performance improvements with regard zero anaphora resolution (ZAR). To further improve this approach, in study, we made two proposals. The first is a new pretraining task that trains MLMs on anaphoric relations explicit supervision, and the second proposal finetuning method remedies notorious issue, pretrain-finetune discrepancy. Our ex...

We analyze the asymptotic convergence of all infinite products of matrices taken in a given finite set by looking only at finite or periodic products. It is known that when the matrices of the set have a common nonincreasing polyhedral norm, all infinite products converge to zero if and only if all infinite periodic products with periods smaller than a certain value converge to zero. Moreover, ...

PWM Inverters in induction motor drives are known to cause common-mode voltage which results in leakage current flowing through the parasitic capacitors to the ground and creates drawbacks such as shaft voltage, bearing current, electromagnetic interference problems. CMV elimination using conventional Three-level NPC multilevel topology has certain drawbacks. An improved SVPWM strategy using Du...