When F is an algebraically closed field char F≠2, A is similar over F to an orthogonal matrix if and only if ( 1 ) the invariant factors of A aer self-reciprocal (2) the elementary divi sors of A of the form x...

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According to Sarkovskii's theorem, if the continuous self-map f of the closed interval has a 3-periodic orbit, then f must has an n-periodic orbit for any positive integer n But f can not has all n-periodic orbits for some n.

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LetJbe a continuous map of a unit square into itself and f can be descendent. This paperpresents slecific featrue for f with homochinic points.

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The gradient of f; its dot product with uw is the directional derivative of f in the direction of w

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The results show that the differences of beet root production, sugar and sugar production in different species and location have reached significant levels (F.01), variety and location of interaction effects are achieved very significant (F.01) or significant levels (F.05); Considered root production, sugar and sugar production and stability, ZM203, KWS9415 are better for the stability of high-yielding varieties, D0316, ZM203 are better for the stability of the high-sugar varieties, ZM201 for the stability of a high-yielding sugar, 2003-8 varieties is good for the stability of high-yielding sugar deviation species.

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By means of experim ents of marker transfer,acridine orange sensitivity test,F' curring and mini-chr omosome transformation it is concluded that the F' plasmid is always in an integ rated state in the SIn strains and that the initiation of the replication of the bacterial chromosome is carried on by the integrated F' plasmid.

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The method is as follows that the two ends of a nanometer are fixed on two pivots and an axial micro-pulling force T is applied on the nanometer; an electrode is arranged on the middle part of the side of the nanometer and an alternate voltage is applied on the electrode to motivate the nanometer to generate resonance, and therefore, the natural frequency f of the nanometer is measured and acquired; according to the material characteristics and the geometry characteristics of the nanometer as well as the boundary condition of the nanometer material, the relation between the natural frequency and the axial pulling force of the nanometer, namely the f-t curves of the nanometer, can be calculated by a vibration equation; according to the measured natural frequency f, the size of the micro-pulling force T can be acquired.

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On CHE programming, the higher coupling ratio of control-gate makes the higher electrical field across TOX in Si than Ge. Also because of the continuity of displacement vector, the higher permittivity of Ge would cause the lower electrical field at interface. We get the higher gate current in Si than Ge. On CFN programming, the higher CT in Ge would show the higher electrical field across TOX. However, the parameters of F-N tunneling are calculated and showing the gate current in Si is larger than Ge. On the same mechanism of F-N tunneling erasing, the parameters also show the higher electrical filed of Si would cause the higher erasing speed. The continuity of displacement vector also explains the higher electrical field at interface for F-N tunneling programming/erasing.

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