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This is a list of science and science-related occupations, which include various scientific occupations and careers based upon scientific research disciplines and explorers. A medical laboratory scientist at the National Institutes of Health preparing DNA samples
where u(x, y) and v(x, y) are real differentiable bivariate functions. Typically, u and v are respectively the real and imaginary parts of a complex-valued function f(x + iy) = f(x, y) = u(x, y) + iv(x, y) of a single complex variable z = x + iy where x and y are real variables; u and v are real differentiable functions of the real variables.
RHS – right-hand side of an equation. rk – rank. (Also written as rank.) RMS, rms – root mean square. rng – non-unital ring. rot – rotor of a vector field. (Also written as curl.) rowsp – row space of a matrix. RTP – required to prove. RV – random variable. (Also written as R.V.)
Name Dim Equation Applications Landau–Lifshitz model: 1+n = + Magnetic field in solids Lin–Tsien equation: 1+2 + = Liouville equation: any + = Liouville–Bratu–Gelfand equation
2. Without a subscript, denotes the absolute complement; that is, =, where U is a set implicitly defined by the context, which contains all sets under consideration. This set U is sometimes called the universe of discourse. × (multiplication sign) See also × in § Arithmetic operators.
Ruel Vance Churchill (12 December 1899 – 31 October 1987) was an American mathematician and author known for writing three widely used textbooks on applied mathematics. [1]
Euler's formula is ubiquitous in mathematics, physics, chemistry, and engineering. The physicist Richard Feynman called the equation "our jewel" and "the most remarkable formula in mathematics". [2] When x = π, Euler's formula may be rewritten as e iπ + 1 = 0 or e iπ = −1, which is known as Euler's identity.
where C is the circumference of a circle, d is the diameter, and r is the radius.More generally, = where L and w are, respectively, the perimeter and the width of any curve of constant width.