Miller’s algorithm for computing pairings involves performing multiplications between elements that belong to different finite fields. Namely, elements in the full extension field Fpk are multiplied by elements contained in proper subfields Fpk/d , and by elements in the base field Fp. We show that significant speedups in pairing computations can be achieved by delaying these “mismatched” multi...

Diffusion magnetic resonance imaging (dMRI) is an imaging modality that probes the diffusion characteristics of a sample via the application of magnetic field gradient pulses. If the imaging voxel can be divided into different Gaussian diffusion compartments with inter-compartment exchange governed by linear kinetics, then the dMRI signal can be described by the Kärger model, which is a well-kn...

In this paper we investigate the problem of testing the coherence of an assessment of conditional probability following a purely logical setting. In particular we will prove that the coherence of an assessment of conditional probability χ can be characterized by means of the logical consistency of a suitable theory Tχ defined on the modal-fuzzy logic FPk(R L∆) built up over the many-valued logi...

This paper introduces simulatable verifiable random functions (sVRF). VRFs are similar to pseudorandom functions, except that they are also verifiable: corresponding to each seed SK, there is a public key PK, and for y = FPK(x), it is possible to prove that y is indeed the value of the function seeded by SK. A simulatable VRF is a VRF for which this proof can be simulated, so a simulator can pr...

We provide a method to select flows of solutions the Cauchy problem for linear and nonlinear Fokker–Planck–Kolmogorov equations (FPK equations) measures on Euclidean space. In case, our improves similar results previous work author. Our consideration flow selections equations, including particularly interesting case Nemytskii-type coefficients, seems be new. also characterize (restricted) well-...

Alternaria solani adalah patogen penyakit yang sering muncul pada budidaya tanaman tomat, kerusakannya cukup tinggi berakibat pengurangan produksi. Salah satu cara digunakan petani untuk mengendalikan A. yaitu dengan aplikasi fungisida sintetik. Tujuan dari penelitian ini mengetahui pengaruh beberapa jenis konsentrasi tepat dalam tomat. Penelitian dilakukan menggunakan RAK (Rancangan Acak Kelom...

Let A be a simplicial bicommutative Hopf algebra over the field F2 with the property that π0A ∼= F2. We show that π∗A is a functor of the André-Quillen homology of A, where A is regarded as an F2 algebra. Then we give a method for calculating that André-Quillen homology independent of knowledge of π∗A. Let G be an abelian group. Since the work of Serre [19] and Cartan [6], we have know that the...

This paper introduces the notion of zero ring graphs. Basic properties of the zero ring graphs are investigated and characterization results regarding connectedness and planarity are given. Further, we determine the chromatic number for ΓM 2 (Zp[x]/〈x〉), where p is a prime, k > 1 and it is shown that an isomorphism exists among the zero ring graphs ΓM 2 (Zpk), ΓM 2 (Zp[x]/〈x〉) and ΓM 2 (Fpk).

The scientific community has recognized the importance of integrating farmer's perceptions and knowledge (FPK) for the development of sustainable pest and disease management strategies. However, the knowledge gap between indigenous and scientific knowledge still contributes to misidentification of plant health constraints and poor adoption of management solutions. This is particularly the case ...