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Combined Graduated Level Examination (SSC CGL or CGLE) is an examination conducted by the Staff Selection Commission to recruit Group B and C officers to various posts in ministries, departments and organizations of the Government of India. The Staff Selection Commission was established in 1975.
In a paper from 2007, Anton Kapustin and Edward Witten described a connection between the geometric Langlands correspondence and S-duality, a property of certain quantum field theories. [ 11 ] In 2018, when accepting the Abel Prize, Langlands delivered a paper reformulating the geometric program using tools similar to his original Langlands ...
The commission is headed by a Chairman [5] and two members after him. Besides, there are one Secretary, one Director, one Deputy Secretary, two Joint Directors, nine Under Secretaries, four Deputy Directors, one Finance & Budget Officer, one Assistant Director (OL), 24 Section Officers and more than 183 supporting officers/staff are at the Headquarters for discharging the duties and ...
For example, using a compass, straightedge, and a piece of paper on which we have the parabola y=x 2 together with the points (0,0) and (1,0), one can construct any complex number that has a solid construction. Likewise, a tool that can draw any ellipse with already constructed foci and major axis (think two pins and a piece of string) is just ...
Diagram of Stewart's theorem. Let a, b, c be the lengths of the sides of a triangle. Let d be the length of a cevian to the side of length a.If the cevian divides the side of length a into two segments of length m and n, with m adjacent to c and n adjacent to b, then Stewart's theorem states that + = (+).
Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, [a] which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental ...
In mathematics, the Langlands program is a set of conjectures about connections between number theory and geometry.It was proposed by Robert Langlands (1967, 1970).It seeks to relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles.
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.