Symmetric Sentence Examples

The general monomial symmetric function is a P1 a P2 a P3.

Firstly, the skew table is much more symmetric.

The weight of the function is bipartite and consists of the two numbers Ep and Eq; the symbolic expression of the symmetric function is a partition into biparts (multiparts) of the bipartite (multipartite) number Ep, Eq.

All symmetric functions are expressible in terms of the quantities ap g in a rational integral form; from this property they are termed elementary functions; further they are said to be single-unitary since each part of the partition denoting ap q involves but a single unit.

Every symmetric function denoted by partitions, not involving the figure unity (say a non-unitary symmetric function), which remains unchanged by any increase of n, is also a seminvariant, and we may take if we please another fundamental system, viz.

Remark, too, that we are in association with non-unitary symmetric functions of two systems of quantities which will be denoted by partitions in brackets ()a, ()b respectively.

Twinning according to the second law can only be explained by reflection across the plane (roi), not by rotation about an axis; chalcopyrite affords an excellent example of this comparatively rare type of symmetric twinning.

Mailbox SDSL is the big brother of ADSL, providing symmetric bandwidth up to speeds of 2Mbps.

The methods of objective 1.4 will be applied to these to obtain results on symmetric chaos.

Can you state, in general, what property a symmetric cipher needs to have for this to work?

The proposed authentication system is based on symmetric cryptography to minimize the encryption/decryption overhead.

Nevertheless the PSII core region is clearly 2-fold symmetric and closely resembles the averaged PSII core dimer top view.

I like the idea of drinking a good espresso in a radially symmetric mirrored universe.

Preconditioned conjugate gradients are shown to be extremely effective for all symmetric problems.

This defines a natural homomorphism of C into the symmetric group of degree n.

We consider the phenomenon of forced symmetry breaking in a symmetric Hamiltonian system on a symplectic manifold.

The routine calculates the square symmetric matrix of distances between each atom and every other atom currently selected.

The Intel and SPARC versions have reliable symmetric multiprocessing.

This was altered in 1928 to the current spruce Bermudan rig with the symmetric spinnaker being adopted in 1969.

T and L are symmetric tensors, while S is in general asymmetric.

The group of two longnecked gazelles facing a palm tree is of extraordinary refinement, and shows the, artistic consciousness in every part; the symmetric rendering of the palm tree, reduced to fit the scale of the animals, the dainty grace of the smooth gazelles contrasted with the rugged stem, the delicacy of the long flowing curves and the fine indications of the joints, all show a sense of design which has rarely been equalled in the ceaseless repetitions of the tree and supporters motive during every age since.

This can be done (albeit not very effectively) by a stabilizer calculation in the symmetric group given by the degree component.

Teardrop fractals are derivable from cyclically symmetric fractals with a central element.

Distance metrics Any measure that we use should be a distance metric (non-negative, symmetric and respecting triangle inequality).

The affected muscles may be on both sides of the body (symmetric paralysis) but are often on unbalanced parts of the body (asymmetric paralysis).

Growth inhibition during the first stage produces an undersized fetus with fewer cells, but normal cell size, causing symmetric IUGR.

Japanese clansmen from as far back as 1185 AD admired butterflies for their duality--humble caterpillar and aristocratic butterfly--and their symmetric appearance.

Symmetric DSL (SDSL) - While this system won't allow use a phone at the same time you send or receive data, but it provides equal receiving and transmission speeds.

The theories of determinants and of symmetric functions and of the algebra of differential operations have an important bearing upon this comparatively new branch of mathematics.

When a skew symmetric determinant is of even degree it is a perfect square.

A skew determinant is one which is skew symmetric in all respects,.

There is no difficulty in expressing the resultant by the method of symmetric functions.

The sum of the monomial functions of a given weight is called the homogeneous-product-sum or complete symmetric function of that weight; it is denoted by h.; it is connected with the elementary functions by the formula 1 7r1l7r2!7r3!

Application to Symmetric Function Multiplication.-An example will explain this.

The important result is that the theory of invariants is from a certain point of view coincident with the theory of non-unitary symmetric functions.

It is thus possible to study simultaneously all the theories which depend upon operations of the group. Symbolic Representation of Symmetric Functions.-Denote the s 8 s elementar symmetric function a s by al a 2 a3 ...at pleasure; then, Y y si,, si,...

Denote by brackets () and [] symmetric functions of the quantities p and a respectively.

The extraordinary advantage of the transformation of S2 to association with non-unitary symmetric functions is now apparent; for we may take, as representative forms, the symmetric functions which are symbolically denoted by the partitions referred to.

A separation is the symbolic representation of a product of monomial symmetric functions.

The name lemniscate is sometimes given to any crunodal quartic curve having only one real finite branch which is symmetric about the axis.

Now by the theory of symmetric functions, any symmetric functions of the mn values which satisfy the two equations, can be expressed in terms of the coefficient of those equations.

The partitions being taken as denoting symmetric functions we have complete correspondence between the algebras of quantity and operation, and from any algebraic formula we can at once write down an operation formula.

A skew symmetric determinant has a,.