The properties of d G M (A), where d G M denotes matrix function derived from unitary matrix representation M of the group G , and G be a subgroup of the full symmetric group Sn. The results obtained generalize the properties of d G λ (A), where λ be a character of group G .
The author discusses the necessary and sufficient conditions under which polynomial identities d G kk (AX)= d G kk (X), X∈M m(c) , where d G kk denotes matrix function derived from principal element of unitary matrix representation Δ of the group G , and G is a subgroup of the full symmetric group S m .
The paper discusses the properties of d G Δ kk (A) and the related problems, d G Δ kk (X) denotes matrix function derived from the principal element of unitary matrix representation Δ of the group G . And G is a subgroup of the full symmetric group S m . d G χ (A) denotes matrix function derived from character χ of unitary representation of the group G .
In this paper the concept of the full definite matrix is given,some sufficient and necessary conditions of the full symmetric real matrix is full definite matrix are discussed.
We focus on function sets preserving full symmetric relation and prove that 46 function sets preserving full symmetric relation must be the component part of the minimal covering of precomplete classes in P4 * by means of the concept of similar relationship among precomplete sets.
In the fourth chapter, it studies the function set preserving full symmetric relation in partial four-valued logic, 78 precomplete classes are sorted according to similar relationship, 32 precomplete classes are weeded out, 10 functions are constructed,46 precomplete classes are proved the component part of the minimal covering.
According to the completeness theory of Partial k - valued Logic, the author proves that the sets of full symmetric functions which satisfy some conditions are the components of the minimal covering of precomplete classes in Pk*.
In this paper, according to the completeness theory of Partial K-Valued logic, s ome full symmetric functions (m=2) are proved to be the component part of th e minimal covering of precomplete classes in P*k.
The RTP spectrum contains a well-resolved vibrational structure, whose bands are assigned to full symmetric vibrations of naphthalene, their overtones, and the combination tones of full symmetric vibrations.
Among the k-valued logic theory, the decision of the completeness of function systems is a basic and important problem, and is also the question which must be solved in k-valued computer theory. The complete solution of this problem depends on determining all maximal closed sets in k-valued logic function set.As for the complete k-valued logic function set P_k, Jablonskii and Martynjuk ascertained all the maximal closed sets in functional setsself-dual function set S_σ, T type set T_(E, O) and monotonic fun...
According to the completeness theory of Partial k - valued Logic, the author proves that the sets of full symmetric functions which satisfy some conditions are the components of the minimal covering of precomplete classes in Pk*.
Local poling structure was proposed for the application in polymeric electrooptic modulator. With this structure, full symmetric push pull operation can be realized in modulator. We suggest the use of microstrip line electrode instead of coplanar electrode and the use of soltline to ground electrode in microstrip line. The overlap integral between lightwave and microwave were calculated. Performances of devices with two kinds of electrodes were compared. Results show that the performance of the...