Search results
Results from the WOW.Com Content Network
For k = 2, the Grassmannian is the space of all 2-dimensional planes containing the origin. In Euclidean 3-space, a plane containing the origin is completely characterized by the one and only line through the origin that is perpendicular to that plane (and vice versa); hence the spaces Gr (2, 3) , Gr (1, 3) , and P 2 (the projective plane ) may ...
Diophantus of Alexandria [1] (born c. AD 200 – c. 214; died c. AD 284 – c. 298) was a Greek mathematician, who was the author of two main works: On Polygonal Numbers, which survives incomplete, and the Arithmetica in thirteen books, most of it extant, made up of arithmetical problems that are solved through algebraic equations. [2]
In mathematics, particularly category theory, a 2-group is a groupoid with a way to multiply objects, making it resemble a group. They are part of a larger hierarchy of n-groups. They were introduced by Hoàng Xuân Sính in the late 1960s under the name gr-categories, [1] [2] and they are also known as categorical groups.
In GR, however, certain tensors that have a physical interpretation can be classified with the different forms of the tensor usually corresponding to some physics. Examples of tensor classifications useful in general relativity include the Segre classification of the energy–momentum tensor and the Petrov classification of the Weyl tensor .
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
A notation like Δr 2 means (Δr) 2. The reason s 2 and not s is called the interval is that s 2 can be positive, zero or negative. Spacetime intervals may be classified into three distinct types, based on whether the temporal separation (c 2 Δt 2) or the spatial separation (Δr 2) of the two events is greater: time-like, light-like or space-like.
Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and ...
Greek mathematics constitutes an important period in the history of mathematics: fundamental in respect of geometry and for the idea of formal proof. [44] Greek mathematicians also contributed to number theory , mathematical astronomy , combinatorics , mathematical physics , and, at times, approached ideas close to the integral calculus .