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Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
QIP is a version of IP replacing the BPP verifier by a BQP verifier, where BQP is the class of problems solvable by quantum computers in polynomial time. The messages are composed of qubits. [ 6 ] In 2009, Jain, Ji, Upadhyay, and Watrous proved that QIP also equals PSPACE , [ 7 ] implying that this change gives no additional power to the protocol.
Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation.
[27] [28] In another class XII textbook titled ‘Contemporary World Politics’ the Aksai Chin region was shown to be a disputed area and coloured in the same colour as China. According to the NCERT, the controversial map was not a map of India, but a map of East and South East Asia published by University of Texas at Austin. [29]
For the graph of a function f of differentiability class C 2 (its first derivative f', and its second derivative f'', exist and are continuous), the condition f'' = 0 can also be used to find an inflection point since a point of f'' = 0 must be passed to change f'' from a positive value (concave upward) to a negative value (concave downward) or ...
Less frequently, some mathematics books use or to represent the identity matrix, standing for "unit matrix" [2] and the German word Einheitsmatrix respectively. [ 8 ] In terms of a notation that is sometimes used to concisely describe diagonal matrices , the identity matrix can be written as I n = diag ( 1 , 1 , … , 1 ) . {\displaystyle I ...
The class A network 127.0.0.0 (classless network 127.0.0.0 / 8) is reserved for loopback. IP packets whose source addresses belong to this network should never appear outside a host. Packets received on a non-loopback interface with a loopback source or destination address must be dropped.
Guru Gobind Singh Indraprastha University has 14 university schools (colleges), 12 of them are on the main campus in Dwarka and 2 colleges, USAR and USDI are on the new campus at East Delhi. [2] School at Main Campus: University School of Architecture and Planning (USAP) University School of Basic & Applied Sciences (USBAS)