Sentence examples for formulated rigorously from inspiring English sources
All three formulations can be formulated rigorously from a unified treatment of the inverse integral transforms.
The concept is formulated rigorously for the architecture most commonly found in industrial robots of the serial type, i.e., composed of six revolute joints.
The reflection and transmission problem has been formulated rigorously by taking advantage of translational invariance along the rods, and geometrical periodicity in a plane normal to the rods.
In this study, it is rigorously formulated with respect to relative entropy within the framework of a system with many components, each signifying a location or a structure.
To examine the fundamental SEA postulates and assumptions, the problem of two coupped plates is rigorously formulated and solved in terms of usual SEA variables.
Albeit rigorously formulated, the methodology was rather limited in performing aggressive optimizations because of the halo inherently inserted by the heuristic flexibility functions.
In this paper, firstly we rigorously formulated the power optimization problem in data center networks into an MCF problem, and proved its NP-hardness.
Couplings between electricity and natural gas systems are rigorously formulated via the coordinated operation of gas-fired units and PtG facilities.
In Section 2, the system model that is used throughout our analysis is described, and the problem of the uplink scheduling in CDMA systems is rigorously formulated as a multiconstraint optimization problem.
On the other hand, many modern scientists accept the basic tenet that knowledge of the natural world is to be expressed in mathematical formulae, which is rightly regarded as a central Pythagorean thesis, since it was first rigorously formulated by the Pythagoreans Philolaus ( Fr. 4 — see Huffman 1993) and Archytas (Huffman 2005, 65 ff).
In what follows, we show that based on a recently developed tool based on the "semi-tensor product", Boolean networks can be represented as linear discrete systems, and consequently the mRNA translation process can be modelled as a PBN which can be rigorously formulated and computationally solvable.
