A New Method for Judging whether a Polynomial of Degree k over GF(2~m) Has k Distinct Roots in GF(2~m)
A DISCRIMINANT FOR A POLYNOMIAL OF DEGREE_3 OVER GF(2~m) HAS_3 DISTINCT ROOTS IN GF(2~m)
CONDITIONS FOR LIENARD SYSTEM OF THE ODD ROLYNOMIAL OF DEGREE 2n+1 HAS AT MOST ONE OR TWO LIMIT CYCLES
A Solved Example of a Complex KdV Equation its Corresponding Eigenvalue Problem has a Double Characteristic root
AN EXAMPLE OF ODD BOUNDED FAN IN R~2 WHICH HAS NO LINEAR SELECTIONS
一个没 有线性选择的R~2中 有界奇扇的例
SOME SUFFICIENT CONDITIONS FOR COMPLETE TRIPARTITE GRAPH K(A,B,C)TO HAVE ISOMORPHIC FACTORISATION
Some Sufficient Conditions for a Complete Tripartite Graph K(A,B,C) to Have Isomorphic Factorisations
H2O2 and Sodium benzoate of different concentration have serious influence to the pigment of Black currant of fruit juice.
PaO2(△ PaO2 breath unit 3.86±2.02, attracts oxygen group1.13±1.77) to improve the degree difference to have significance(P<0.01).
Results:65 examples have 64 examples to be recovered leaving hospital in the patient , 1 example leaves hospital because of economy cause automation , there are no death , grave complication happened.
Nested PCR demonstrated: Hepatocellular carcinoma had HBV_DNA replication
Results The anxiety and depression value of the patients in treatment group reduced significantly after the treatment (P<0.01), while that of control group had no significant change after the treatment (P>0.05).
Fe3+ had very greatly harmful effect.
The results showed that isohumulone had strong inhibitory action to both SGC-7901 and HepG-2 by inducing the apoptosis of tumour cells.
After the lymphocytes had been cultured with IL-4 for 12 h, 24 h, 36 h, and 48 h, 50 μg/L IL-4 upregulated the expressions of NGF mRNA in a time -dependent manner and all the NGF mRNA expressions were significantly higher than the basal values at the same time(all Ps<0.01).
Is there a Quaternary glaciation in southeastern Sichuan?
IS THERE THE SAME TEMPERATURE FOR THE SYSTEMS IN THERMAL EQUILIBRIUM -How to understand the thermal equilibrium law
Results The cure rate of cervical erosion was 72.24%. There was no significant difference in the total efficiency rate among 3 types of chronic cervicitis(P>0.05). However, the cure rate was related to the degree of erosion and pathologic type (P<0.05).
Results There was a remarkable difference (P<0.05) in the rate of gastric tube shedding out of the stomach between the experiment group (10.26%) and the control group (17.44%).
In the aspect of occupational injuries, there were statistical meanings in stab wounds, gastritis and neurasthenia (P<0.05).
我想查看译文中含有： 查询“有”译词为用户自定义的双语例句 的双语例句
In all these cases we actually show that Γ=π1(M) has a finite index subgroup which is mapped onto a nonabelian free group.
We prove that if a reductive group action on an affine quadric with a 1-dimensional quotient has a linear model, then the action is linearizable.
An algebraicG-varietyX is called "wonderful", if the following conditions are satisfied:X is (connected) smooth and complete;X containsr irreducible smoothG-invariant divisors having a non void transversal intersection;G has 2r orbits inX.
Then the ring of invariants ofG is a polynomial ring if and only ifG is generated by pseudoreflections and the pointwise stabilizer inG of any nontrivial subspace has a polynomial ring of invariants.
Whenever the action of a maximal torus on the coneCλ* has some nice properties, we obtain simple closed formulas for all weight multiplicities and theirq-analogs in the representationsVnλ,n∈?.
In this note we present a very simple method of proving that some hyperbolic manifoldsM have finite sheeted covers with positive first Betti number.
Fibonacci manifolds have a hyperbolic structure which may be defined via Fibonacci numbers.
On the basis of these solutions, two types of elliptic quantum groups have been introduced (Foda et al.
These spaces of coinvariants have dimensions described in terms of the Verlinde algebra of levelk.
Previously, only algorithms for linearly reductive groups and for finite groups have been known.
Among all image transforms, the classical (Euclidean) Fourier transform has had the widest range of applications in image processing.
The derivation of our algorithm depends on certain properties of joint analyticity (with respect to spatial variables and perturbations) which had not been established before this work.
Such a formula had been derived in a previous article by the authors, as a consequence of the study of the asymptotic behavior of nonlinear wave operators for small data.
Among the several pharmocophore models, the best model had R2 = 0.69, chance = 0.09, size = 3, match = 0.68.
99mTc-MGGQ and 99mTc-MVGQ had high kidney uptake, quick blood clearance and high activity ratios of kidney to blood, thus showing potential application as renal imaging agents.
Recently, there is a renewed interest in wonderful varieties of rank two since they were shown to hold a keystone position in the theory of spherical varieties, see [L], [BP], and [K].
On the other hand, there is a locally trivialGa-action on a normal affine variety with nonfinitely generated ring of invariants (Theorem 2).
However, there are many examples that do not arise from this construction.
There are natural concepts of the action of ann-valued group on a space and of a representation in an algebra of operators.
There are two well known combinatorial tools in the representation theory ofSLn, the semi-standard Young tableaux and the Gelfand-Tsetlin patterns.