We discuss an N = 2 quantum mechanics with or without a central charge. A representation is constructed with the number of bosonic degrees of freedom less that one half of the fermionic degrees of freedom. This is done via a certain reduction. Unexpected properties of our solution are: overextended R symmetry and a mirror-like symmetry. Our consideration opens a problem of a general classificat...

We apply the geometric quantization procedure via symplectic groupoids proposed by E. Hawkins to the setting of epistemically restricted toy theories formalized by Spekkens [21]. In the continuous degrees of freedom, this produces the algebraic structure of quadrature quantum subtheories. In the odd-prime finite degrees of freedom, we obtain a functor from the Frobenius algebra in Rel of the to...

Holography suggests a considerable reduction of degrees of freedom in theories with gravity. However it seems to be difficult to understand how holography could be realized in a closed re–contracting universe. In this letter we claim that a scenario which achieves that goal will eliminate all spatial degrees of freedom. This would require a different concept of quantum mechanics and would imply...

gait rehabilitation using body weight support on a treadmill is a recommended rehabilitation technique for neurological injuries, such as spinal cord injury. in this paper, a new robotic orthosis is presented for treadmill training. in the presented design the criteria such as low inertia of robot components, backdrivability, high safety and degrees of freedom based on human walking are conside...

In this paper, some definitions and traditional formulas for calculating the mobility of mechanisms are represented, e.g. Grubler formula, Somov - Malyshev formula, and Buchsbaum - Freudenstei. It is discussed that there are certain cases in which they are too ambiguous and incorrect to use. However, a matrix method is suggested based on the rank of the Jacobian of the mechanism and its applica...

ANALYSIS OF SPHERICAL FIVE-BAR HINGED MANIPULATOR WITH TWO DEGREES OF FREEDOM AND DWELLS OF OUTPUT LINK. N. Davitashvili. “Problems of Mechanics”. Tbilisi, 2015, No 1(58), pp. 5-11, (Engl.). Is stated the kinematic study of spherical five-bar manipulator with two degrees of freedom. Are determined the positions, velocities and accelerations of output links, their points and gripper. The manipul...