Sentence examples for dual relations between from inspiring English sources

Indeed, the following two lemmas are dual relations between the delta left fractional sums (differences) and the nabla left fractional sums (differences).

Also it is necessary to obtain dual relations between the left and right fractional sums and differences via the Q-operator.

For example, Marsalli and West [2] obtained a series of results including a Riesz factorization theorem, the dual relations between (H^{p}(mathcal{A})) and (H^{q}(mathcal{A})), and Labuschagne [3] proved the universal validity of Szegö's theorem for finite subdiagonal algebras.

We will find a dual problem ((textit{DP})) for ((textit{KP})) and exploit the relations between dual and primal.

The constitutive relations between dual variables are introduced defining a proper, convex, potential energy.

We formulate a symmetric dual problem for the nonlinear vector optimization problem and establish equivalent relations between the symmetric dual problem and the corresponding vector matrix game.

We establish equivalent relations between the symmetric dual problem and its related vector matrix game.

Next, we establish duality relations between primal (P) and dual (DM1).

Recently, Kim and Noh [4] established equivalent relations between a certain matrix game and symmetric dual problems.

In particular, relations between the two can be conceived in terms of dual aspects of one underlying "reality".

The dual relations for left fractional sums and differences were investigated in [12].