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Duality (mathematics) In mathematics, a duality translates concepts, theorems or mathematical structures into other concepts, theorems or structures in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. In other cases the dual of the dual – the double dual or ...
DualShock. The DualShock (originally Dual Shock, trademarked as DUALSHOCK or DUAL SHOCK, with the PlayStation 5 version as DualSense) is a line of gamepads developed by Sony Interactive Entertainment for the PlayStation family of video game consoles. It is named for vibration-feedback and analog controls. [1]
In mathematical optimization theory, duality or the duality principle is the principle that optimization problems may be viewed from either of two perspectives, the primal problem or the dual problem. If the primal is a minimization problem then the dual is a maximization problem (and vice versa). Any feasible solution to the primal ...
Duality (order theory) In the mathematical area of order theory, every partially ordered set P gives rise to a dual (or opposite) partially ordered set which is often denoted by Pop or Pd. This dual order Pop is defined to be the same set, but with the inverse order, i.e. x ≤ y holds in Pop if and only if y ≤ x holds in P.
Ideal (order theory) In mathematical order theory, an ideal is a special subset of a partially ordered set (poset). Although this term historically was derived from the notion of a ring ideal of abstract algebra, it has subsequently been generalized to a different notion. Ideals are of great importance for many constructions in order and ...
Dual sensory loss is the simultaneous loss of two senses. Research has shown that 6% of non-institutionalized older adults had a dual sensory impairment, and 70% of severely visually impaired older adults additionally suffered from significant hearing loss. Vision and hearing loss both interfere with the interpretation and comprehension of speech.
The 2-adic integers, with selected corresponding characters on their Pontryagin dual group. In mathematics, Pontryagin duality is a duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which include the circle group (the multiplicative group of complex numbers of modulus one), the finite abelian groups (with the discrete topology), and ...
Dual space. In mathematics, any vector space has a corresponding dual vector space (or just dual space for short) consisting of all linear forms on together with the vector space structure of pointwise addition and scalar multiplication by constants. The dual space as defined above is defined for all vector spaces, and to avoid ambiguity may ...
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