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     A New Method for Judging whether a Polynomial of Degree k over GF(2~m) Has k Distinct Roots in GF(2~m)
     判别GF(2~m)上k次多项式在GF(2~m)上k个不同根的新方法
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     A DISCRIMINANT FOR A POLYNOMIAL OF DEGREE_3 OVER GF(2~m) HAS_3 DISTINCT ROOTS IN GF(2~m)
     GF(2~m)上三次方程在GF(2~m)上三个不同根的判别式
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     CONDITIONS FOR LIENARD SYSTEM OF THE ODD ROLYNOMIAL OF DEGREE 2n+1 HAS AT MOST ONE OR TWO LIMIT CYCLES
     2n+1次奇多项式Lienard系统至多一个或两个极限环的条件
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     A Solved Example of a Complex KdV Equation its Corresponding Eigenvalue Problem has a Double Characteristic root
     相应的特征值问题二重特征根的复KdV方程的一个求解实例
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     AN EXAMPLE OF ODD BOUNDED FAN IN R~2 WHICH HAS NO LINEAR SELECTIONS
     一个没线性选择的R~2中界奇扇的例
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     SOME SUFFICIENT CONDITIONS FOR COMPLETE TRIPARTITE GRAPH K(A,B,C)TO HAVE ISOMORPHIC FACTORISATION
     完备三分图K(A,B,C)同构因子的某些充分条件
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     Some Sufficient Conditions for a Complete Tripartite Graph K(A,B,C) to Have Isomorphic Factorisations
     完备三分图K(A,B,C)同构因子的某些充分条件
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     H2O2 and Sodium benzoate of different concentration have serious influence to the pigment of Black currant of fruit juice.
     不同浓度的氧化剂H2O2、防腐剂苯甲酸钠对黑加仑果汁色素均都严重的破坏作用。
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     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).
     PaO2(△PaO2呼吸机组3.86±2.02,吸氧组1.13±1.77)改善程度差异显著性(P<0.01)。
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     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.
     结果:65例病人中64例痊愈出院,1例因经济原因自动出院,除1例自动出院外无死亡,未发生严重并发症。
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     Nested PCR demonstrated: Hepatocellular carcinoma had HBV_DNA replication
     巢式PCR证明肝癌细胞HBV─DNA复制
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     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).
     结果试验组焦虑、抑郁值在采用措施后明显降低,显著性差异(P<0.01),而对照组2次结果无显著性差异(P>0.05)。
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     Fe3+ had very greatly harmful effect.
     Fe3+则显著的不良影响;
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     The results showed that isohumulone had strong inhibitory action to both SGC-7901 and HepG-2 by inducing the apoptosis of tumour cells.
     结果表明,异葎草酮对肿瘤细胞SGC-7901及HepG-2均较强抑制作用,这一作用是通过诱导肿瘤细胞凋亡实现的.
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     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).
     50μg/LIL-4干预12h、24h、36h及48h时NGFmRNA相对表达量随时间延长逐渐增高,并分别与同时间点的基础值比较统计学意义(均P<0.01);
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     Is there a Quaternary glaciation in southeastern Sichuan?
     川东南第四纪冰川吗?
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     IS THERE THE SAME TEMPERATURE FOR THE SYSTEMS IN THERMAL EQUILIBRIUM -How to understand the thermal equilibrium law
     互为热平衡的系统是否一定相同的温度──如何正确理解热平衡定律
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     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).
     结果宫颈糜烂治愈率72.24%,3种不同分型的总效率无显著差异(P>0.05),而治愈率则与糜烂程度、病理类型显著相关(P<0.01);
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     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%).
     结果实验组与对照组胃管脱落发生率分别为10.26%,17.44%,2组间存在的差异统计学意义(P<0.05);
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     In the aspect of occupational injuries, there were statistical meanings in stab wounds, gastritis and neurasthenia (P<0.05).
     职业伤害方面:针刺伤、胃炎、神经衰弱结果统计学意义,P<0.05。
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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∈?.
      
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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.
      
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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.
      
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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.
      
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