Search results

p-adic analytic manifolds, rigid analytic spaces admit meaningful notions of analytic continuation and connectedness. The basic rigid analytic object...

refining Tate's notion of a rigid analytic space. In the complex case, algebraic geometry begins by defining the complex affine space to be C n . {\displaystyle...

complex analytic variety or complex analytic space is a generalization of a complex manifold that allows the presence of singularities. Complex analytic varieties...

for example, Tate's invention of rigid analytic spaces can be said to have spawned the entire field of rigid analytic geometry. He found a p-adic analogue...

An analytic space is a generalization of an analytic manifold that allows singularities. An analytic space is a space that is locally the same as an analytic...

the rigid cohomology groups are the same as the crystalline cohomology groups. The name "rigid cohomology" comes from its relation to rigid analytic spaces...

complex analytic varieties are manifolds. Over a non-archimedean field analytic geometry is studied via rigid analytic spaces. Modern analytic geometry...

such as a top. To orient such an object in space requires three angles, known as Euler angles. A special rigid rotor is the linear rotor requiring only...

an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions...

In physics, a rigid body, also known as a rigid object, is a solid body in which deformation is zero or negligible. The distance between any two given...

spectrum of T n {\displaystyle T_{n}} is then a rigid-analytic space that models an affine space in rigid geometry. Define the Gauss norm of f = ∑ a α ξ...

Euclidean spaces of any dimension. Despite the wide use of Descartes' approach, which was called analytic geometry, the definition of Euclidean space remained...

In mathematics, the Drinfeld upper half plane is a rigid analytic space analogous to the usual upper half plane for function fields, introduced by Drinfeld (1976)...

In the physical science of dynamics, rigid-body dynamics studies the movement of systems of interconnected bodies under the action of external forces...

The analytic–synthetic distinction is a semantic distinction used primarily in philosophy to distinguish between propositions (in particular, statements...

Space is a three-dimensional continuum containing positions and directions. In classical physics, physical space is often conceived in three linear dimensions...

be studied in fine detail by passing from a modular scheme to a rigid analytic space, where supersingular points are replaced by discs of positive radius...

of an object – such as a line, plane or rigid body – is part of the description of how it is placed in the space it occupies. More specifically, it refers...

'propagation' notable in the case of the analytic continuation of complex analytic functions. (Cf. also the rigid analytic spaces introduced by John Tate, in the...

kinematics is an example of the kinematic analysis of a constrained system of rigid bodies, or kinematic chain. The kinematic equations of a robot can be used...