non trivial 中文意思是什麼
non trivial
解釋
非平凡的-
Let f be a biquadratic polynomial, then ( 1 ) the julia set of f is connected if and only if the orbits of all critical pionts are bounded ; ( 2 ) the julia set of f is totally disconnected if and only if every connected component of the filled julia set of f containing critical points is not periodic under iterations : ( 3 ) if f does not satisfy the conditions ( 1 ) and ( 2 ), then the julia set of f has infinitely many non - trivial connected components, where a component is trivial if it contains only one point
A集是完全不連通的當且僅當f的任何臨界聲、不屬于填充julm集的周期分支內。你當j的臨界盧、不滿足條件小， 」 j時， f的幾ha集有可數個非平凡的連通分支，這里，一個分支是平凡的，如果它僅由一個盧、組成。 。 -
In quantum chromodynamics ( qcd ), vacuum is not trivial, that is, vacuum carry quantum numbers. such a behavior is embodied by non - perturbative con - densates of quarks and gluons. since hadrons are excitations with respect to the vacuum, hadronic properties are ultimately related to properties of the vacuum. based on the vacuum structure, some hadron properties have been described well. in the low energy region, qcd has two very important proper - ties : chiral symmetry spontaneous breaking and confinement, which are closely related to the vacuum characteristics of qcd. much experiments and theoretical studies have shown that chiral symmetry spontaneous breaking is very important to understand the low - energy feature of the strongly interacting physics, and the quark condensates give an expression to chiral symmetry spontaneous breaking. according to goldstone ' s theorem, the goldstone bosons with zero mass will emerge as the chiral symmetry is spontaneously broken. there are two ways : inear and non - linear methods to carry out this constraint. in our paper, we will use the non - linear method
大量實驗和理論研究表明，手征對稱自發破缺對于理解低能強相互作用十分重要，而夸克凝聚又是導致手征對稱自發破缺的因素。按goldstone理論，伴隨手征對稱自發破缺應該會有零質量的goldstonebosons產生。而對于這一條件的實現有線性和非線性兩種方法本文將用非線性的方法將手征對稱自發破缺應用於su （ 3 ）模型即重子八重態，得出描述其強相互作用的手征對稱自發破缺lagrange密度。 -
The cheapest way to get one is to invoke the spectral theorem and to conclude that normal operators always have non-trivial invariant subspaces.
取得這樣結果的最省力的嘗試是引用光譜定理而得到正規運算元恆有非平凡不變子空間的結論。 -
Theorem 2. 4 let g be a non - abelian inner - finite group, each non - trivial proper subgroup of g is prime order cyclic group if and only if g is a simple group ; each proper subgroup of g is nilpotent ; and each non - trivial subgroup of g is self - normalizer
4設g是非阿貝爾的內有限群，則g的每個非平凡真子群都是素數階循環群的充分必要條件是g是單群， g的每個真子群冪零且g的每個非平凡的真子群自正規化定理2 -
The simplest non-trivial groups are those of order 2.
最簡單的非平凡群是一些二階的群。 -
Another use for scrollable cursors is to use them to drive updates based on non - trivial criteria that can t be expressed in sql
可滾動游標的另一個用途是，基於sql中無法表達的重大標準驅動更新。 -
Unfortunately, as changes are made to the data sources, maintaining the quotient cube is non - trivial since the partitioning of the cube cells must also be updated. in this paper, the authors design incremental algorithms to update a quotient cube efficiently for both sum and median aggregate functions
然而，當數據源發生改變的時候， quotient數據立方體很難進行維護，尤其是針對median這樣的非分步型聚集函數，因為當插入新的元組時， quotient數據立方體中的等價類有的需要進行拆分，有的還需要重新生成。 -
That is, if one considers all the permutations of all the paths through any non - trivial piece of software, one quickly comes to the conclusion that exhaustively testing any piece of software is an impossible task
就是說，如果我們通過一個不太小的程序考慮所有路徑組合，我們很快就可以得出結論，窮舉測試任何軟體都是一個不可能的任務。 -
Theorem 2. 5 let g be an infinite simple group that satisfies maximal condition. g is an inner - finite group and each non - trivial proper subgroup of g is abelian if and only if for each x in g, cg ( x ) is the only maximal subgroup that contain x. s * ( a *, c * ) - groups can be regarded as a generalizations of dedekind groups, since all of dedekind groups are s * ( a *, c * ) - groups
5設g是滿足極大條件的無限單群，則g是內有限群，而且g的每個非平凡真子群是阿貝爾群的充分必要條件是對g的任意非平凡元x ，有c _ g （ x ）是g的含x的唯一極大子群且c _ g （ x ）是有限的。 -
First, based on the related theories of the ordinary differential equations, we discuss the existence of the non - trivial solutions to a class of boundary value equations discussed in this paper
首先應用常微分方程理論討論一類邊值問題非平凡解的存在唯一性，並將該研究結果應用到一類彈性系統的鎮定問題。 -
In this paper, the recent achievements of a non - trivial solution in p - laplace poblems and p - biharmonic poblems with critical growth are related. on the base of them, i study the problem on the more general condition, and obtain some new outcomes
本文首先就臨界增長的p - laplace和p -雙調和方程的非平凡解這兩方面近年來的研究成果作了簡單的敘述。在此基礎上，本文作者在更一般條件下對此作了一定的研究，獲得一些新結論。 -
In this paper, the stability of the trivial solution is studied for a class of third order nonlinear non - autonomous ordinary differential equations by means of differential matrix, and the sufficient conditions of the global asymptotic stability of the trivial solution are obtained for a class of third order nonlinear autonomous system
摘要用微分矩法研究了一類三階非線性常微分方程零解的穩定性，並獲得了一類三階非線性駐定系統零解全局漸近穩定的充分條件。 -
Trust is an issue in every non - trivial distributed application - peer - to - peer applications included
信任在每個具有一定規模的分散式應用（包括對等應用）中都是一個問題。 -
The stated goal of this article was to give you a non - trivial extension to eclipse s java development environment that enhanced its productivity
本文設定的目標是向您提供一個對eclipse的java開發環境頗具價值的擴展，這樣的擴展增強了這個開發環境的生產率。 -
The traditional approaches to handle non - trivial data structures are either abstracting them from system models or expanding them into non - structural data, which often reduces the efficiency of verification substantively
以往處理復雜數據結構的做法是抽象掉數據信息或者將復雜數據結構打散，因而較大的影響了檢測效率。 -
The experiment result shows, the non - trivial repeating patterns of songs can not only reduce the data and memories in retrieval, but also reflect the music characteristics of songs
實驗表明，樂曲的非平凡重復模式不但減少了檢索的數據量和存儲量，還反映了樂曲的音樂特性。 -
Shows how to declare a sealed or abstract property by defining a non - trivial property and specifying the abstract or sealed keywords on the get and set accessor functions
說明如何通過定義一個重要的屬性並在get和set訪問器函數中指定abstract或sealed關鍵字，聲明密封或抽象屬性。
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