Examples of 'self-dual' in a sentence
Meaning of "self-dual"
Self-dual is a property in mathematics where a mathematical object is equal to its dual. This property is often found in vector spaces and Boolean algebras
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- Of a vector space, isomorphic to its dual space.
- Of a proposition that is equivalent to its dual.
- Of a graph or polyhedron, being the dual of itself.
How to use "self-dual" in a sentence
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self-dual
It is the only self-dual regular polyhedron.
This implies that an orthonormal wavelet is self-dual.
On self-dual locally compact abelian groups.
We say that complement is a self-dual operation.
A self-dual code is one which is its own dual.
There are infinitely many geometrically self-dual polyhedra.
A plane graph is said to be self-dual if it is isomorphic to its dual graph.
A crown polyhedron is topologically self-dual.
A statement is said to be self-dual if it is equal to its own dual.
A category that is equivalent to its dual is called self-dual.
These exceptions are called self-dual configurations and in such cases p i.
The square pyramid in the example above is self-dual.
The self-dual square tiling recreates itself in all four forms.
The square pyramid is topologically a self-dual polyhedron.
The adele ring is a self-dual topological ring, which is built on a global field.
See also
It is also one of two such polytopes that is self-dual.
The self-dual Yang-Mills equations arise in both gauge and classical general relativity theory.
The unique integrated resulting reduction is self-dual reduction.
An example of self-dual category is the category of Hilbert spaces.
It is one of the two such polytopes that is self-dual.
The Fano plane above is a self-dual incidence structure.
The spectrum consists of only one massless scalar, which describes gravitational fluctuations of self-dual gravity.
Type II codes are binary self-dual codes which are doubly even.
Researchers successfully determined the formula for the global gravitational anomaly of self-dual field theories.
The construction of all self-dual monopoles by the ADHM method.
Thus Rel contains its opposite and is self-dual.
A self-dual regular polytope will have a symmetric Schläfli symbol.
Since partial orders are antisymmetric, the only ones that are self-dual are the equivalence relations.
The primary class of self-dual polytopes are regular polytopes with palindromic Schläfli symbols.
The existence of this polarity shows that the Fano plane is self-dual.
These are nonflat Lorentzian spacetimes which admit a self-dual covariantly constant null bivector field.
The existence of a correlation means that the projective plane C is self-dual.
These calculations can be easily modified for the self-dual Palatini action and the Hoist action.
In the case when C and its opposite Cop are equivalent, such a category is self-dual.
The cone is called self-dual when.
A tetrahedron is a triangular pyramid, and the regular tetrahedron is self-dual.
Gravitational instantons are analogous to self-dual Yang-Mills instantons.
Consequently, the incidence structure known as the Möbius-Kantor configuration is self-dual.
There are many other convex, self-dual polyhedra.
Non-convex self-dual polyhedra can also be found, such as the excavated dodecahedron.
Since this is a symmetric matrix, the Fano plane is a self-dual incidence structure.
All regular polygons are self-dual to congruency, and for odd n they are self-dual to identity.
Tilings can also be self-dual.
However, there also exist self-dual graphs that are not polyhedral, such as the one shown.
The excavated dodecahedron is self-dual.
Not just any code, but these self-dual error-correcting block codes.
It follows that the adeles are self-dual.
It is one of three self-dual tridecahedra with C4v symmetry.
Hall planes are not self-dual.
Part 2, we find self-dual solutions electrically charged for the model of Manton.
