In this master thesis, we mainly discuss the adjacent vertex- distinguishing total chromatic numbers of some special graphs and prove that Zhang"s conjecture holds for these graphs. Then we get the adjacent vertex-distinguishing total chromatic numbers of the Halin Graphs. Moreover, we investigate the Generalized Petersen Graphs, prove that some classes of positive integers can"t structure the Generalized Petersen Graphs and get the result that the adjacent vertex-distinguishing total chromatic number is 5. Finally, based on the number and the parity of circles contained by the graph, we get the adjacent vertex-distinguishing total chromatic number of two classes of graphs.

本學(xué)位論文首先主要針對幾個特殊圖類討論其鄰點可區(qū)別全色數(shù)亚洲玖玖爱，驗證了其滿足圖的鄰點可區(qū)別全色數(shù)的猜想狼友偷拍视频；再證明了非輪的Halin圖的鄰點可區(qū)別全色數(shù)毛片无码免费视频一区二区三区；接著研究的是廣義Petersen圖，討論了不能構(gòu)成廣義Petersen圖的幾類正整數(shù)色五月婷婷丁香亚洲激情五月，并證明了該圖的鄰點可區(qū)別全色數(shù)等于5；最后图片区视频区另类，根據(jù)圖所含圈的個數(shù)及其奇偶性得到了兩類圖的鄰點可區(qū)別全色數(shù)欧美视频自拍日韩在线观看免费。

In this paper, the adjointness of the product of two differential operators generated by a third order normal and singular symmetric differential expression in the limit-circle case is discussed. The necessary and sufficient conditions which make the product operators being the adjoint operators obtained by the matrix analysis and calculation. At the same time, the adjointness of the product of the power and adjointness operator obtained.

本文首先討論了正則和奇異兩種情況下兩個極限圓型三階對稱微分算式生成的微分算子的乘積的自共軛性，運用矩陣分析和計算欧洲性爱视频视频一区，得到了乘積算子為自共軛算子時邊界應(yīng)滿足的充分必要條件亚洲福利诱惑，同時得到了冪算子的自共軛性、自共軛算子乘積的自共軛性等乘積算子的其它若干性質(zhì)av爽在线看。

First we prove that 0 is an eigenvalue of the operator with geometric multiplicity one,next we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator,last we prove that 0 is an eigenvalue of the adjoint operator of the operator.

首先證明0是對應(yīng)于該排隊模型的主算子的幾何重數(shù)為1的特征值免费真人一级毛片一区二区三，其次證明在虛軸上除了0以外其他所有點都屬于該算子的豫解集，然后證明0是該主算子共軛算子的特征值国产青榴视频A片在线观看。

First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先證明在虛軸上除了0以外其他所有點都屬于該算子的豫解集级婬片A片AAA毛片Mⅴ，其次證明0是對應(yīng)于該系統(tǒng)的主算子及其共軛算子的幾何與代數(shù)重數(shù)為1的特征值，由此推出該系統(tǒng)的時間依賴解當(dāng)時刻趨向于無窮時強收斂于系統(tǒng)的穩(wěn)態(tài)解视频图片小说。

In this paper,a systematic direct perturbation method of dark solitons is found.Having analyzed the mistakes in earlier works on perturbation method for dark solitonsand essence of the direct perturbation method for bright solitons,we notice that to in-troduce the adjoint solutions of the squared Jost solutions and to prove the completenessare crucial to the problem.Giving up the unnecessary scheme of introducing the adjointoperator in the bright soliton case,we directly find the adjoint solutions by meetingthe demand for the orthogonality that inner product of the squared Jost solutions andits adjoint should be proportional to a δ function in the case of continuous spectra.The corresponding adjoint operator is thus found.Taking into account the reductiontransformation,we find a correct description for the completeness of the squared Jostsolutions and directly verify its validity with explicit expressions of the squared Jostsolutions.

本論文建立了系統(tǒng)的暗孤子直接微擾方法奇米777米奇影888视狠狠，在對前人關(guān)于暗孤子微擾方法的錯誤以及亮孤子直接微擾方法的本質(zhì)作了充分的分析后，認(rèn)識到引入平方Jost解的伴隨解和證明完備性是問題的關(guān)鍵性69式性无遮挡免费视频，撇開過去亮孤子情況首先引入伴隨算子的非必要作法在线视频一区二区三区三区不卡，直接從平方Jost解與其伴隨解的內(nèi)積在連續(xù)譜時正比于δ函數(shù)這一正交性要求出發(fā)，找出了伴隨解最新网站毛片，同時得出了應(yīng)有的伴隨算子国产精品黄页免费视频，在考慮到約化變換性后，得到了暗孤子情況的平方Jost解的完備性的正確表述黄色视频能看的网址，并在單個暗孤子的情況利用平方Jost解的顯式直接驗證了它的正確性。

Firstly, we analyze the deficiencies ofexisting ones, extend domains of fuzzy logical operators from the cap product withtwo sets to them with arbitrary (finite, enumerable, or non-enumerable) number ofsets to form two general mappings so as to conform them to the fuzzy conjunctionand infimum, and to fuzzy disjunction and supremum, respectively, and fuzzify theset inclusion of fuzzy sets. Similar to the classical adjunction, the concept of fuzzyadjunction is introduced.

首先分析了原有"模糊形態(tài)學(xué)"框架的缺陷麻豆专区99，進而將模糊合取和模糊析取算子的定義域從兩個集合的笛卡兒乘積推廣到任意多個集合的笛卡兒乘積国产精品嫖娼在线性色av，形成兩個一般的映射，使得模糊合取與下確界欧美性ai、模糊析取與上確界保持一致久久黄色网址，以此將模糊集的包含關(guān)系一般化。

First of all we should do is to adjust the supply structure.

首先24小时免费看成年女人18级毛片毛片免费，我們應(yīng)該做的是調(diào)整供應(yīng)結(jié)構(gòu)国产黄A黄色。

First of all, the 3D model of the fire frequency adjuster was built.

首先，建立了執(zhí)行元件及驅(qū)動元件的三維實體模型美女被插阴道的视频。

First of all, height adjustment is very important.

首先欧美黑粗大视频，高度調(diào)整是非常重要的。

First of all, I think the need for a good psychological adjustment.

首先欧洲在线人成线视频，我認(rèn)為需要有一個良好的心理調(diào)整福利在線。