Let f be a solution of the higher order differential equation, a sufficient condition for f belonging to the weighted Dirichlet space D or to the Bergman space L, respectively, is obtained.

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Firstly, it's proved that the base of free monoid is unique, and that the equation of a base, a generating set and a irreducible generating set in the semigroup with length; Secondly, it's given the relation of a primitive word and a word of indecomposable--Let and is indecomposable, then is primitive ;And by using the length's method and chart,some properties of primitive word have been proved and the solutions of the equation , are discussed; Lastly, on the base of some proposition in Free monoids and Languages ,the proofs of some properties are improved by instruction. For example: Let be a primitive word over X, where .Then is a code. And let then if and only if {} is a code.

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In conclusion, by consideration of viscosity effect of material at propagating crack-tip, it is established in the paper the unified continuous singular crack-tip field in linear-hardening material under the condition of incompressibility. The plastic shock is eliminated that exists in non-viscosity solutions. What's more, the dynamic and quasi-static solutions are united together when the Mach number approaches zero.

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The CTM is suitable for the case that all E-type influentially uncontrollable subnets are state graphs, and the outstanding virtue is that the designed controller is explicit. The EMM is suitable for the case that all F-type influentially uncontrollable subnets are normalized cascade Petri nets, and the advantage is that control patterns can be on-line computed within polynomial times.

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The phenomenon of the polesemy in poetry which cannot be interpreted exactly is one development of its interpretability.

詩歌多義性的不可確解，是詩歌在多義性之可解基礎(chǔ)上的又一次進步亚洲一区色图小说。

For the group representation, this paper improves the known method of determining the irreducibility. Instead of solving equations and checking every combination of the roots, we calculate the value of a polynomial.

對于自由群的表示人人操人人鲁，本文首先將不可約性的判別方法，由已有文獻(xiàn)中解方程欧美性爱日逼，并對方程的根作組合的方法玫玖精品视频在线播放，改進為直接計算某個多項式的值的方法，并進一步給出區(qū)分絕對不可約性和非絕對不可約性的判別準(zhǔn)則http//www.色.com日本。

For different polynomials g, if the characteristic polynomial of a n matrix A is irreducible, then we get some theorems to determine matrix equations g =A solvable; if it is reducible, then, to see n-dimension space vectors M over a field F as F-module, we use module theory to determine these equations solvable such that it is simpler and clearer to investigate these questions.

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Zeros of irreducible real quaternionic polynomial are the isolated point solutions of the original polynomial equation.

不可約四元數(shù)多項式的零點對應(yīng)原多項式的孤立點解，一次實系數(shù)多項式的零點對應(yīng)原多項式的實數(shù)解欧美日韩高清，二次實系數(shù)多項式(Δ＜0)的零點對應(yīng)原多項式的等價類解67色国产欧美。

The steady-state solution is known to be the positive eigenfuction corresponding to the simple eigenvalue 0 of the system operator.

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We first characterize the groups in which all m∈cdq〓 contain at most 4 prime divisors; and then show the following: if any m∈cdq〓 is nth-power-free then the derived length of solvable group G is bounded by a function f depended only on n; also if cdq〓 has k different p-parts then the p-length of solvable group G is bounded by a function g depended only on k.

首先研究了非線性不可約特征標(biāo)對應(yīng)的特征標(biāo)次數(shù)的商至多含有4個素因子的有限群結(jié)構(gòu)。其次男人天堂.com免费，我們證明：若每m∈cdq〓是n次方自由的免费进的黄色网站，則有限可解群G的的導(dǎo)長及p-長都被僅依賴于n的函數(shù)所界定；若cdq〓中共有k個兩兩不同的p-部分久久激情免费视频，則有限可解群G的p-長能被僅依賴于k的函數(shù)所界定欧美首页。