70,837 research outputs found
Squib-operated disconnect
Disconnect device is described, which consists of stud with enlarged end held in collet locked by pins, which are held in place by piston. When squib is fired, trapped combustion products force piston to release pins
An explicit solution for a multimarginal mass transportation problem
We construct an explicit solution for the multimarginal transportation
problem on the unit cube with the cost function and
one-dimensional uniform projections. We show that the primal problem is
concentrated on a set with non-constant local dimension and admits many
solutions, whereas the solution to the corresponding dual problem is unique (up
to addition of constants).Comment: 31 pages, 4 figures. The paper was completely rewritten. Heuristic
considerations to find a solution of the primal problem added. Algorithm to
find the primal problem solution numerically added (arbitrary marginals). The
construction was generalized for a C(ln x + ln y + ln z), C is convex.
Measure on the triangle was found with the support singular with respect to
the Lebesgue measur
Disconnect unit
A squib-actuated disconnect is characterized by an expandable collet axially extended from a first tension member for receiving in locking engagement a protuberance axially extended from a second tension member. A gas-driven retainer of an annular configuration is also locked in for supporting the collet in locking engagement with the protuberance. The protuberance is axially displaced in response to a firing of an associated squib for thus accommodating a disengagement of the protuberance and the collet
Non-relativistic limit of multidimensional gravity: exact solutions and applications
It is found the exact solution of the Poisson equation for the
multidimensional space with topology . This
solution describes smooth transition from the newtonian behavior for
distances bigger than periods of tori (the extra dimension sizes) to
multidimensional behavior in opposite limit. In the case of
one extra dimension , the gravitational potential is expressed via compact
and elegant formula. These exact solutions are applied to some practical
problems to get the gravitational potentials for considered configurations.
Found potentials are used to calculate the acceleration for point masses and
gravitational self-energy.It is proposed models where the test masses are
smeared over some (or all) extra dimensions. In 10-dimensional spacetime with 3
smeared extra dimensions, it is shown that the size of 3 rest extra dimensions
can be enlarged up to submillimeter for the case of 1TeV fundamental Planck
scale . In the models where all extra dimensions are smeared, the
gravitational potential exactly coincides with the newtonian one regardless of
size of the extra dimensions. Nevertheless, the hierarchy problem can be solved
in these models.Comment: LaTex file, 18 pages, 4 figure
On the Spectra of Real and Complex Lam\'e Operators
We study Lam\'e operators of the form with and a
half-period of . For rectangular period lattices, we can choose
and such that the potential is real, periodic and regular. It is
known after Ince that the spectrum of the corresponding Lam\'e operator has a
band structure with not more than gaps. In the first part of the paper, we
prove that the opened gaps are precisely the first ones. In the second
part, we study the Lam\'e spectrum for a generic period lattice when the
potential is complex-valued. We concentrate on the case, when the
spectrum consists of two regular analytic arcs, one of which extends to
infinity, and briefly discuss the case, paying particular attention to
the rhombic lattices
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