finite dimensional linear space 中文意思是什麼

finite dimensional linear space 解釋
有限維線性空間
  • finite : adj. 有限的；【語法】限定的；【數學】有窮的，有盡的。n. 〈the finite〉 有限（性）； 〈集合詞〉有限物。adv. -ly ,-ness n.
  • dimensional : adj. 1. 尺寸的。2. 空間的。3. 【數學】因次的；…次（元）的。
  • linear : adj. 1. 線的，直線的。2. 長度的。3. 【數學】一次的，線性的。4. 【動、植】線狀的；細長的。5. 由線條組成的，以線條為主的，強調線條的。
  • space : n 1 空間；太空。2 空隙，空地；場地；（火車輪船飛機中的）座位；餘地；篇幅。3 空白；間隔；距離。4 ...
  1. On the basis of experimental research, this thesis applies 2 - dimensional non - linear finite element method to the analysis of transient temperature field on the section by means of relatively high precision triangular element of six joints. when the temperature field is analyzed, finite element reseaus are divided in space field and finite difference reseaus are divided in time field, and then the program is compiled. the computing results are in good agreement with the test data

    在試驗研究的基礎上，本文採用精度較高的三角形六結點單元對構件截面二維非線性瞬態溫度場進行了有限元分析，即在空間域內採用有限元網格劃分，在時間域內採用有限差分網格劃分，據此編制了計算程序，計算結果與試驗數據符合較好，程序穩定性好，精度滿足要求。
  2. After we define the n - numerical range of bounded linear operators on a hilbert space, we find that the n - numerical range have a series properties very similar to that of the quadratic numerical range. at the same time, we prove that under certain conditions, wn ( a ) c w ~ ( a ) and that when h is finite dimensional and dimti = n, we have a ( a ) = wn ( a ). therefore, it is nature to guess that when h is an infinite dimensional hilbert space, for any space decomposition dn ? ?

    首先給出了n次數值域的定義，我們發現n次數值域不但具有一系列和二次數值域類似的性質，而且在給定的條件下還有n次數值域包含在二次數值域當中，另外當是n維hilbert空間時，它的n次數值域就等於它的譜集，前面的結論促使我們猜想，當是無限維hilbert空間時，對的任意的空間分解d _ n ，都應該有下面的式子成立： （ a ） = _ （ d _ n d ） w _ （ d _ n ） ~ n （ a ） 。
  3. Linear algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old euclid g eometry. the concept of " linear space " is a kind of algebraic abstract. in many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined

    線性代數主要是研究有限維線性空間及其線性變換這一代數結構的學科，而線性概念究其根源則是來自古老的euclid幾何，線性空間概念是幾何空間的一種代數抽象，在現代工程技術的許多領域里，由於計算機及圖形顯示的強大威力，幾何問題的代數化處理，代數問題的可視化處理，把代數與幾何更加緊密地結合在一起。
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