Some Proposed Solutions to Achieve Nuclear Fusion

Some solutions to Mathematics

Proof of Lemma 1.1. Let H be the sub-multigraph of G consisting only of the vertices and the edges lying on at least one of the paths u and v. Then, the multigraph H is connected, and the paths u and v are two paths in H. Hence, there exist two distinct paths from x to y in H (namely, u and v). Notice that the multigraph H has at most k + ` edges (since its edges consist of the k edges of the p...

Energy footprint assessment in Abadan oil refinery and solutions to achieve green productivity goals

The aim of this article is to analyze SEC critically in relation to refinery industrial energy efficiency. In this study, the effect of various parameters such as input energy carriers, output energy, API value, and input refining oil was investigated. Specific energy consumption of unit and standard criterion was obtained 2.30 and 3.06 Gj/ton, respectively, that the total specific energy consu...

Exact Solutions for Some Nuclear Many-Body Problems

Exact solutions for eigenvalues and eigenfunctions of some nuclear many-body systems are found by using an infinite-dimensional, Lie-algebraic approach based on the corresponding Bethe ansatz. Applications of the theory, including solutions of some nuclear pairing problems and U(5) W SO(6) transitional Hamiltonians of the interacting boson model, are given. The relationship between this new met...

Solutions to Some More Problems

Some solutions to Mathematics 5707

Proof of Lemma 1.1. Let H be the sub-multigraph of G consisting only of the vertices and the edges lying on at least one of the paths u and v. Then, the multigraph H is connected, and the paths u and v are two paths in H. Hence, there exist two distinct paths from x to y in H (namely, u and v). Notice that the multigraph H has at most k + ` edges (since its edges consist of the k edges of the p...