theorem 中文意思是什麼

Theorem 4. 5 if locally soluble group g is c * ( w ) - group, then the chief factor of g is elementary abelian

5若局部可解群g是c卜群，則g的主因子是初等阿貝爾的

Theorem 3. 3 if g is c ( p ) - group and p is an odd prime, then the derived subgroup of g is elementary abelian p - group

定理3 3若g是…群且屍是奇素數，則g 』是初等阿貝爾p群

Theorem 3. 9 if g is locally finite p - group and c * ( p ) - group, then the nilpotent class of g is at most 3 and the derived subgroup of g is elementary abelian p - group

定理39若局部有限屍群g是c 「卜群，則g的類最多為3且g 』是初等阿貝爾p群

The admissibility theorem under symmetric entropy loss function

對稱熵損失函數下的一個可容許性定理的證明

In this thesis, we study some open problems and conjectures about the linear complementarity problem. it consists of the next three aspects : firstly, we study murthys " open problem whether the augmented matrix is a q0 - matrix for an arbitary square matrix a, provide an affirmable answer to this problem, obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the graves algorithm can be used to solve linear complementarity problem with bisymmetry po - matrices ; secondly, we study murthys " conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study pang ' s conjecture, obtain two conditions when r0 - matrices and q - matrices are equivelent and some properties about e0 q - matrices ; lastly, we give a counterexample to prove danao ' s conjecture that if a is a po - matrix, a e " a p1 * is false, point out some mistakes of murthys in [ 20 ], obtain when n = 2 or 3, a e " a p1 *, i. e. the condition of theorem 3. 2 of [ 25 ] that a p0 can be deleted and obtain a e " a is an almost e - matrix if a is a co - matrix or column sufficient matrix

本文分為三個部分，主要研究了線性互補問題的幾個相關的公開問題以及猜想： （ 1 ）研究了murthy等在[ 2 ]中提出的公開問題，即對任意的矩陣a ，其擴充矩陣是否為q _ 0 -矩陣，給出了肯定的回答，得到充分矩陣的擴充矩陣是充分矩陣，並討論了graves演算法，證明了若a是雙對稱的p _ 0 -矩陣時， lcp （ q ， a ）可由graves演算法給出； （ 2 ）研究了murthy等在[ 6 ]中提出關於半正定矩陣的猜想，給出了半正定矩陣的一些充分條件，並研究了pang ~ -猜想，得到了只r _ 0 -矩陣與q -矩陣的二個等價條件，以及e _ 0 q -矩陣的一些性質； （ 3 ）研究了danao在[ 25 ]中提出的danao猜想，即，若a為p _ 0 -矩陣，則，我們給出了反例證明了此猜想當n 4時不成立，指出了murthy等在[ 20 ]中的一些錯誤，得到n = 2 ， 3時，即[ 25 ]中定理3 . 2中a p _ 0的條件可以去掉。

That is the so-called fundamental theorem of algebra.

這就是代數基本定理。

Theorem 6 gives us an alternate method for determining the arithmetical values of.

定理6給出另一個確定的數值的方法。

Let us restate the assertions above as a theorem.

我們把上述的斷言重新表述為一個定理。

There has been many papers to discuss the in - medium quark and gluon condensates in nuclear matter which use the models with su ( 2 ) l su ( 2 ) r sym - metry. now, we make use of the chiral model su ( 3 ) l su ( 3 ) n including the baryon octet to discuss the quark condensate < qq > in strange matter, where q is an up or down quark field. on the one hand, from the experimetal data, it is found that < qq > vac = - ( 225 25mev ) 3, on the other hand, with the hellmann - feynman theorem, quark condensate can be evaluated on the hadronic level. in this paper, we will investigate the quark condensate in strange matter with the chiral symmetry su ( 3 ) l x su ( 3 ) rspontaneous breaking lagrangian to obtain the variation of the quark condensate in the strange matter when the baryon number change. it can be applied to understand the neutron stars when the neutron star are considered to be constructed by the strange matter. because nertron stars are homogeneous and at very low temperature, we will use the mean - field approximation and zero temperature throughout this paper

鑒于已有大量文獻討論了核物質中的夸克凝聚，本文將討論在奇異物質中的夸克凝聚。而在介質中的夸克凝聚的基本公式可由hellmann - feynman理論導出，所以運用手征對稱自發破缺拉氏量以及平均場近似，我們就可以討論在奇異物質中的夸克凝聚，由所計算的結果表明： （ 1 ）奇異物質中的夸克凝聚隨奇異物質密度的增大而單調減小。 （ 2 ） -凝聚的出現對衰減率有影響。

Theorem g is called binomial theorem.

定理g稱為二項式定理。

There is a wealth of information in the binomial theorem that we have yet to exploit.

我們還要揭示二項式定理更為豐富的內涵。

He expands the right side by using the binomial theorem, subtracts y=.

他用二項式定理展開右邊，消去y

Evaluation of p is simplified if the square root terms are expanded by the binomial theorem.

如果按二項式定理展開來計算平方根，P的計算可以簡化。

Second, we discuss composition operators on bloch space with closed range. by using a distortion theorem of bonk, minda and yanagihara about bloch functions, we obtain the sharp estimation of the lipschitz continuity of the dilation of bloch functions. then, we improve a theorem of ghatage, yan and zheng about composition operators on bloch space with closed range

其次研究了bloch空間上有閉值域的復合運算元，先利用bonk 、 minda和yanagihara關于bloch函數的一個偏差定理，得到bloch函數伸縮率的lipschitz連續性的精確估計式，用這個估計式改進了ghatage 、 yan和zheng關于bloch空間上關于有閉值域的復合運算元的一個定理。

According to goldstone theorem, the goldstone bosons with zero mass will emerge as the chiral symmetry is spontaneously broken

由goldstone理論可知，當手征自發破缺時會生成零質量的goldstone玻色子。

Theorem 2 the product of a bounded function and an infinitesimal is an infinitesimal

推論1常數與無窮小的乘積是無窮小。

On the fixed point theorem of the local - boyd and

映象的不動點定理

This calculation illustrates the theorem.

這個計算說明了這樣一個定理。

On the construction of auxiliary function when using the calculous intermediate value theorem

談微分中值定理運用中輔助函數的構建

A commutation theorem on associative rings

結合環的交換性定理