Examples of 'non-compact' in a sentence
Meaning of "non-compact"
Non-compact is used in mathematics and physics to describe a set or space that is not compact. In topology, a non-compact space is one that does not satisfy the definition of compactness, which has important implications for the properties and behavior of the space
How to use "non-compact" in a sentence
Basic
Advanced
non-compact
These groups are connected but non-compact.
An affine space is a non-compact manifold ; a projective space is a compact manifold.
The fifth dimension is assumed to be non-compact.
Classifying non-compact surfaces is more difficult and less satisfying.
There are beach walking competitions on non-compact sand.
The downside of non-compact models is typically their size and weight.
We then extend this result to some non-compact settings.
For non-compact oriented manifolds, one has to replace cohomology by cohomology with compact support.
Hashing is an example of the need to store the original data in a non-compact form.
Examples of Stein manifolds include non-compact Riemann surfaces and non-singular affine complex algebraic varieties.
Closed, this type takes up significantly less space than its non-compact competitors.
In fact, a connected simple non-compact Lie group can not have any nontrivial unitary finite-dimensional representations.
Preferably, the magnetic particle bed in the system is a dense but non-compact bed.
In fact, every symmetric space of non-compact type arises this way.
They are non - unitary and often irrational, logarithmic or even non-compact.
See also
For non-compact groups, statisticians have extended Haar-measure results using amenable groups.
These models exhibit original critical properties, such as the appearance of non-compact degrees of freedom.
In fact, every non-compact Riemann surface is a Stein manifold.
This is a feature of every connected simple non-compact Lie group.
Non-compact or compact, doesn't really matter I guess.
We study the Chabauty compactification of symmetric spaces of non-compact type.
Therefore, the most likely number of non-compact ( large ) spatial dimensions is three.
The problem is more interesting when K is non-compact.
Frequently, they will have small portions of non-compact myocardium attached.
The manifold M may be either compact or non-compact.
Indeed, the theorem is often stated only for non-compact manifolds.
Function of being compact or non-compact.
Finally, use the approximation argument to handle a non-compact base.
