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The inclusion of the cell shedding mechanism leads to modification of the boundary conditions employed in the model of Ward and King (199910) and it will be
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It should be noted that all these graphs are planar, even though it is more convenient to draw them in such a way that the (curved) extra arcs cross the other (straight) edges...
It is suggested by our method that most of the quadratic algebras for all St¨ ackel equivalence classes of 3D second order quantum superintegrable systems on conformally flat
This paper develops a recursion formula for the conditional moments of the area under the absolute value of Brownian bridge given the local time at 0.. The method of power series
Related to this, we examine the modular theory for positive projections from a von Neumann algebra onto a Jordan image of another von Neumann alge- bra, and use such projections
Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A
In the case of the KdV equation, the τ -function is a matrix element for the action of the loop group of GL 2 on one-component fermionic Fock space, see for instance [10, 20, 26]..