multivariate splines in Chinese
Translation
Mobile
- 多元樣條函數(shù)
- "spline" in Chinese : n. 1.【機(jī)械工程】花鍵;方栓;止轉(zhuǎn)楔;齒槽,齒條,鍵 ...
- "splines" in Chinese : 樣條函數(shù); 樣條曲線;曲線; 樣條線
- "multivariate" in Chinese : 第四節(jié)多變量分析; 多變的; 多變量
- "cardinal splines" in Chinese : 基數(shù)樣條函數(shù)
- "closed splines" in Chinese : 封閉樣條
- "cross splines" in Chinese : 交叉樣條線; 十字樣條
- "external splines" in Chinese : 外花鍵
- "fit splines" in Chinese : 擬合樣條
- "fundamental splines" in Chinese : 基本樣條函數(shù)
- "geometric splines" in Chinese : 幾何樣條
- "heterogeneous splines" in Chinese : 非純一樣條函數(shù)
- "hub splines" in Chinese : 花鍵軸套
- "interpolating splines" in Chinese : 內(nèi)插樣條函數(shù)
- "involute splines" in Chinese : 漸開(kāi)線花鍵
- "male splines" in Chinese : 外花鍵
Examples
- The interpolation of scattered data by multivariate splines is an important topic in computational geometry
利用多元樣條函數(shù)進(jìn)行散亂數(shù)據(jù)插值是計(jì)算幾何中一個(gè)非常重要的課題。 - Essentially , a key problem on the interpolation by multivariate splines is to study the piecewise algebraic curve and the piecewise algebraic variety for n - dimensional space rn ( n > 2 )
本質(zhì)上,解決多元樣條函數(shù)空間的插值結(jié)點(diǎn)的適定性問(wèn)題關(guān)鍵在于研究分片代數(shù)曲線,在高維空間里就是研究分片代數(shù)簇。 - Two - stage - fitting ( tsf ) method is obtained , which consists of evaluating the function values of regular - grid points by using local weighted least square methods or radial function interpolation , and smoothly and quickly interpolating those points by using multivariate splines . the result is a hyper - surface of c1 or c : continuity
基于上述結(jié)果,提出了h - d空間散亂數(shù)據(jù)超曲面構(gòu)造二步法,第一步應(yīng)用局部最小二乘法或局部徑向基函數(shù)擬合法插補(bǔ)立方體網(wǎng)格點(diǎn)上的函數(shù)值,第二步應(yīng)用多元樣條光滑快速插值計(jì)算,使所得超曲面具有c ~ 1或c ~ 2連續(xù)。 - The significance established the system is to generalize the theories and methods of bi - cubic coons surfaces and to simplify the boundary conditions greatly which can are directly derived from the given interpolating data . hence the difficulty of determining boundary conditions of multivariate spline is overcome , which makes it use in many applications . 2
該方法的意義是:推廣了雙三次coons曲面的理論與算法,并對(duì)邊界條件進(jìn)行了簡(jiǎn)化改進(jìn),可以直接由插值條件獲得邊界條件,從而克服了多元樣條邊界條件難以確定的困難,拓寬了應(yīng)用范圍。 - In view of the fact that the genetic algorithm of stochastic programming based on random simulated technology has succeed greatly , this paper points out that changing parameters of genetic algorithm can obtain a sequence of optimum values of goal function . taking these genetic algorithm values as sampling data , we can get fitting optimum function by using multivariate spline regression and get the lipschitzs constant of the fitting optimum function . so for any chance constrained programming problem , we can get its interval estimate
鑒于基于隨機(jī)模擬技術(shù)的遺傳算法在求解隨機(jī)規(guī)劃問(wèn)題上的優(yōu)越性,本文指出,改變遺傳算法的參數(shù)條件,在此基礎(chǔ)上求得機(jī)會(huì)約束規(guī)劃的若干個(gè)最優(yōu)值,以這些最優(yōu)值為樣本點(diǎn),利用多元樣條回歸,擬合得到最優(yōu)值函數(shù),進(jìn)而求出最優(yōu)值函數(shù)的lipschitzs常數(shù),從而對(duì)于任一機(jī)會(huì)約束規(guī)劃問(wèn)題,都可以得到它的一個(gè)區(qū)間估計(jì)。 - The piecewise algebraic curve and the piecewise algebraic variety , as the set of zeros of a bivariate spline function and the set of all common zeros of multivariate splines respectively , are new and important concepts in algebraic geometry and computational geometry . it is obvious that the piecewise algebraic curve ( variety ) is a kind of generalization of the classical algebraic curve ( variety respectively )
分片代數(shù)曲線作為二元樣條函數(shù)的零點(diǎn)集合,分片代數(shù)簇作為一些多元樣條函數(shù)的公共零點(diǎn)集合,它們是代數(shù)幾何與計(jì)算幾何中一種新的重要概念,顯然也是經(jīng)典代數(shù)曲線與代數(shù)簇的推廣。
Related
"multivariate" in Chinese, "multivariate population" in Chinese, "multivariate method" in Chinese, "multivariate analysis" in Chinese, "multivariate observation" in Chinese, "multivariate prediction" in Chinese, "multivariate interpolation" in Chinese, "multivariate system" in Chinese, "multivariate distribution" in Chinese, "multivariate regression analysis" in Chinese, "multivariate regression model" in Chinese, "multivariate sample" in Chinese, "multivariate scaling" in Chinese, "multivariate spectrophotometry" in Chinese, "multivariate statistical analysis" in Chinese, "multivariate statistical inference" in Chinese, "multivariate statistical method" in Chinese, "multivariate statistical techniques" in Chinese,
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- "multivariate regression analysis" in Chinese
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- "multivariate statistical analysis" in Chinese
- "multivariate statistical inference" in Chinese
- "multivariate statistical method" in Chinese
- "multivariate statistical techniques" in Chinese
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