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  based on
    Beginning with four aspects and based on facts, this article makes a comparative study and expounds and proves that the blames of "copying" and "plagiarizing" do not comply with historical facts and makes a new appraisal of the discussion.
    本文采用比较研究的方法,从4个方面入手,以事实论证抄袭、剽窃的说法与史实不符,值得商榷,并对此作出了重新评价。
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  with the
    In Ming and Qing dynasties, in order to cooperate with the mainstream society, the Jews adopted "adaptability" tactics and got the approval of the mainstream society.
    明清时期是开封犹太人的变革时期,开封犹太人采用"适应性"策略融入主流社会,并得到主流社会的充分认可,他们逐渐被中国的主流文化所同化。
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We then classify the reflections in the groupsW and the minimal number of them needed to generateW, using the diagrams.
      
Using these monomial bases we prove that the image of the transfer for a general linear group over a finite field is a principal ideal in the ring of invariants.
      
In the second example, we obtain a proof of the Chalyh-Veselov conjecture that the Calogero-Moser system with integer parameter is algebraically integrable, using the results of Felder and Varchenko.
      
Using related sequences of Lucas numbers, other 3-manifolds are constructed, their geometric structures determined, and a curious relationship between the homology and the invariant trace-field examined.
      
Using the properties ofn-Hopf algebras we show that certain spaces do not admit the structure of ann-valued group and that certain commutativen-valued groups do not arise by applying then-coset construction to any commutative group.
      
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  used
As an example of how this can be used, we show that the ring of invariants (under the adjoint action of SL (3)) ofg copies ofM3 is C-M.
      
Included is a complete and explicit list of the generators and relations for the left coideal subalgebras of the quantized enveloping algebra used to form quantum symmetric pairs.
      
This generating set shall be used in describing a generating set of a nonfinitely generated Ga-invariant ring given in Daigle and Freudenburg's counterexample.
      
The canonical and dual canonical basis of the Fock space are computed and then used to derive the finite-dimensional tilting and irreducible characters for the Lie superalgebra osp(2|2n).
      
Often, the Dyadic Wavelet Transform is performed and implemented with the Daubechies wavelets, the Battle-Lemarie wavelets, or the splines wavelets, whereas in continuous-time wavelet decomposition a much larger variety of mother wavelets is used.
      
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The proof is based on a variant of Moser's method using time-dependent vector fields.
      
The classification of infinite-dimensional simple linearly compact Lie superalgebras given in [K2] is based on this result.
      
This construction is based on the notion of a certain duality between compact and non-compact homogeneous spaces.
      
Our proof is based on a different approach and is much more rigorous.
      
We suggest a geometrical approach to the semi-invariants of quivers based on Luna's slice theorem and the Luna-Richardson theorem.
      
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  with the
In the case of 4-dimensional anticommutative algebras a construction is given that links the associated cubic surface and the 27 lines on it with the structure of subalgebras of the algebra.
      
A linear model for a given action is a linear orthogonal action with the same orbit types and equivalent slice representations.
      
The aim of this paper is to discuss a construction of a class of linear isomorphisms σ:S(g)→U(g) which commute with the adjoint representation.
      
Recently Varagnolo and Vasserot established that theq-deformed Fock spaces due to Hayashi, and Kashiwara, Miwa and Stern, admit actions of the quantum toroidal algebra with the level (0,1).
      
We study Cartier divisors on normal varieties with the action of a reductive groupG.
      
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