Dilated cardiomyopathy and bone cancer are the leading cause of death and like all deep-chested dogs, gastric torsion ( bloat ) is common ; the breed is affected by hereditary intrahepatic portosystemic shunt.

Dilated pupils ( mydriasis ) are prominent during khat consumption, reflecting the sympathomimetic effects of the drug, which are also reflected in increased heart rate and blood pressure.

Dilated cardiomyopathy ( DCM ) and many congenital heart diseases are also commonly found in the Great Dane, leading to its nickname: the Heartbreak breed, in conjunction with its shorter lifespan.

Dilated Peoples are affiliated with fellow West Coast hip hop group tha Alkaholiks.

Dilated submucosal veins are the most prominent histologic feature of esophageal varices.

Dilated VRS are common among the elderly and are not common in children.

Another Dilated associate is their long-time producer, the Alchemist, who produced five songs on The Platform, three songs on Expansion Team, four songs on Neighborhood Watch, and two songs on 20 / 20.

Swollen Members is one of only three rap groups affiliated with Rock Steady, Others include Dilated Peoples and The Arsonists.

CT image showing extensive low attenuation in the right hemispheric white matter due to dilated Type 2 Virchow-Robin spaces.

Axial fat suppressed T2 weighted MRI image in the same patient as above demonstrating extensive dilated Type 2 Virchow-Robin spaces in the right hemisphere

Virchow-Robin spaces ( VRS ) are perivascular, fluid-filled canals that surround perforating arteries and veins in the parenchyma of the brain.

The appearance of Virchow-Robin spaces was first noted in 1843 by Durand Fardel.

Virchow-Robin spaces are gaps containing interstitial fluid that span between blood vessels and the brain matter which they penetrate.

Like the blood vessels around which they form, Virchow-Robin spaces are found in both the subarachnoid space and the subpial space.

Virchow-Robin spaces may be enlarged to a diameter of five millimeters in healthy humans and are usually harmless.

Virchow-Robin spaces are most commonly located in the basal ganglia, thalamus, midbrain, cerebellum, hippocampus, insular cortex, the white matter of the cerebrum, and along the optic tract.

The ideal method used to visualize Virchow-Robin spaces is T2-weighted MRI.

The MR images of dilated Virchow-Robin spaces must be distinguished from MR images of other neurological maladies that are similar in appearance.

Virchow-Robin spaces are distinguished on an MRI by several key features.

Virchow-Robin spaces ultimately drain fluid from neuronal cell bodies in the CNS to the cervical lymph nodes.

The clinical significance of Virchow-Robin spaces comes primarily from their tendency to dilate.

Enlarged Virchow-Robin spaces have been observed most commonly in the basal ganglia, specifically on the lenticulostriate arteries.

Much of the current research concerning Virchow-Robin spaces relates to their known tendency to dilate.

At one point in time, dilated Virchow-Robin spaces were so commonly noted in autopsies of persons with dementia, they were believed to cause the disease.

If ( remember this is an assumption ) the minimal polynomial for T decomposes Af where Af are distinct elements of F, then we shall show that the space V is the direct sum of the null spaces of Af.

If we are discussing differentiable complex-valued functions, then Af and V are complex vector spaces, and Af may be any complex numbers.

Remarks may appear to the right of the last parameter on each card provided they are separated from the operand by at least two blank spaces.

Many theorems which are provable using choice are of an elegant general character: every ideal in a ring is contained in a maximal ideal, every vector space has a basis, and every product of compact spaces is compact.

** In topology, morphisms between topological spaces are called continuous maps, and an automorphism of a topological space is a homeomorphism of the space to itself, or self-homeomorphism ( see homeomorphism group ).

In linear algebra, a bilinear transformation is a binary function where the sets X, Y, and Z are all vector spaces and the derived functions f < sup > x </ sup > and f < sub > y </ sub > are all linear transformations.

Banach spaces are named after the Polish mathematician Stefan Banach who introduced them in 1920 – 1922 along with Hans Hahn and Eduard Helly .< ref >

If X and Y are Banach spaces over the same ground field K, the set of all continuous K-linear maps T: X → Y is denoted by B ( X, Y ).

In infinite-dimensional spaces, not all linear maps are automatically continuous.

* Corollary Supppose that X < sub > 1 </ sub >, ..., X < sub > n </ sub > are normed spaces and that X = X < sub > 1 </ sub > ⊕ ... ⊕ X < sub > n </ sub >.

There are various norms that can be placed on the tensor product of the underlying vector spaces, amongst others the projective cross norm and injective cross norm.

The spaces they occupy are known as lacunae.

A more abstract definition, which is equivalent but more easily generalized to infinite-dimensional spaces, is to say that bras are linear functionals on kets, i. e. operators that input a ket and output a complex number.

Banach spaces are a different generalization of Hilbert spaces.

Some questions are still unanswered, such as the inclusion in the BCI repertoire of some characters ( currently about 24 ) that are already encoded in the UCS ( like digits, punctuation signs, spaces and some markers ), but whose unification may cause problems due to the very strict graphical layouts required by the published Bliss reference guides.

There is debate as to whether time exists only in the present or whether far away times are just as real as far away spaces, and there is debate as to whether space is curved.

Enclosures are the spaces between these walls, and between the innermost wall and the temple itself.

In general topological spaces, however, the different notions of compactness are not necessarily equivalent, and the most useful notion, introduced by Pavel Alexandrov and Pavel Urysohn in 1929, involves the existence of certain finite families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.

In spaces that are compact in this latter sense, it is often possible to patch together information that holds locally — that is, in a neighborhood of each point — into corresponding statements that hold throughout the space, and many theorems are of this character.