Search results
Results from the WOW.Com Content Network
A small calculus may pass without causing symptoms. [2] If a stone grows to more than 5 millimeters (0.2 inches), it can cause blockage of the ureter, resulting in sharp and severe pain in the lower back that often radiates downward to the groin (renal colic). [2] [7] A calculus may also result in blood in the urine, vomiting, or painful ...
In mathematical physics, a Grassmann number, named after Hermann Grassmann (also called an anticommuting number or supernumber), is an element of the exterior algebra of a complex vector space. [1]
The standard way to resolve these debates is to define the operations of calculus using limits rather than infinitesimals. Nonstandard analysis [1] [2] [3] instead reformulates the calculus using a logically rigorous notion of infinitesimal numbers. Nonstandard analysis originated in the early 1960s by the mathematician Abraham Robinson. [4] [5 ...
In complex analysis of one and several complex variables, Wirtinger derivatives (sometimes also called Wirtinger operators [1]), named after Wilhelm Wirtinger who introduced them in 1927 in the course of his studies on the theory of functions of several complex variables, are partial differential operators of the first order which behave in a very similar manner to the ordinary derivatives ...
Kidney showing circumscribed calcium deposits together with a partial stag horn calculus. Nephrocalcinosis , once known as Albright's calcinosis after Fuller Albright , is a term originally used to describe the deposition of poorly soluble calcium salts in the renal parenchyma due to hyperparathyroidism .
In mathematics, nonstandard calculus is the modern application of infinitesimals, in the sense of nonstandard analysis, to infinitesimal calculus. It provides a rigorous justification for some arguments in calculus that were previously considered merely heuristic .
In this case the volume of the band is the volume of the whole sphere, which matches the formula given above. An early study of this problem was written by 17th-century Japanese mathematician Seki Kōwa. According to Smith & Mikami (1914), Seki called this solid an arc-ring, or in Japanese kokan or kokwan. [1]
Consider now the algebra of functions of real commuting variables =, …, and of anticommuting variables , …, (which is called the free superalgebra of dimension (|)). Intuitively, a function f = f ( x , θ ) ∈ Λ m ∣ n {\displaystyle f=f(x,\theta )\in \Lambda ^{m\mid n}} is a function of m even (bosonic, commuting) variables and of n odd ...