In this paper, several new theorems on the stability of impulsive control systems are presented.
In rarer cases, it may consist of new theorems, conjectures, computations, or applications that were previously unknown.
Furthermore, we prove new theorems on existence and uniqueness of equilibrium in 2-terminal convex routing games with complete information.
The subsumption of the new theorems by the classical stability theorems serves as a model of dynamical subsumption, forming the basis of the design methodology.
Both Juster and Feiffer are perfect representatives of that faith: outer-borough boys from immigrant backgrounds who passed through the Army and the Navy to end up, blissfully, learning stuff — reading old books and mastering new theorems.
Based on the two new theorems, the nonuniqueness of the Boussinesq Galerkin solution is studied, and then the scope of the nonuniqueness is discussed.
Poncelet's third tool was the "principle of duality," which interchanges various concepts such as points with lines, or lines with planes, so as to generate new theorems from old theorems.
In any case, anticipating his death the night before the duel, Galois hastily wrote a scientific last testament addressed to his friend Auguste Chevalier in which he summarized his work and included some new theorems and conjectures.
Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can.
Lurie embraces an extraordinary breadth of vision, rewriting large swaths of mathematics from a fresh point of view, while also working to apply his foundational ideas to prove important new theorems in other areas.
