An embedding theorem for space of distributions onlocally convex space 局部凸空間上檢驗(yàn)函數(shù)與廣義函數(shù)空間的嵌入定理及其應(yīng)用
Nash embedding theorem 納什嵌入定理
In chapter 4 , we state and prove campanato type theorem , morrey type theorem and some embedding theorems for the maps 在第四章,我們證明campanato型和morrey型不等式和一些嵌入定理。
The main methods of this thesis are as following : chaotic time series is created by dynamics equation , then use gp algorithm to calculate embedding dimension and mutual information algorithm to calculate delay time . based on takens embedding theorem , the method utilizes the observed values of single variable of chaotic system to reconstruct phase space 論文首先求解動(dòng)力學(xué)方程組產(chǎn)生混沌時(shí)間序列,然后用gp算法確定嵌入維數(shù)、互信息法求出延遲時(shí)間,再根據(jù)takens嵌入定理,利用混沌系統(tǒng)的單變量觀測值對混沌背景重構(gòu)相空間。
嵌入: implant; embed; let into; im ...定理: theorem納什嵌入定理: nash embedding theorem惠特尼嵌入定理: whitney embedding theorem水列夫嵌入定理: sobolev embedding theorem代入定理: substitution theorems入定: sit quietly and meditate嵌入: implant; embed; let into; impaction; implantation; inset; insertion; [數(shù)學(xué)] imbedding; inlaying; built-in定理: (已經(jīng)證明正確,可以作為原則或規(guī)律的命題或公式) theorem 基本定理 fundamental theorem; 幾何定理 geometrical theorems; 定理驗(yàn)證[明] theorem proving bom僧家入定: bom yeoreum gaeul gyeoul geurigo老僧入定: very calm and without worldly passions -- said of a monk僧家入定: pring, summer, fall, winter... and spring收入定單薄: orders received book收入定貨器: order received book再入定位: reentry positioning阻入定價(jià): keep-out pricing連續(xù)輸入定額: continuous input rating買入定期存單: certificates of deposit purchased進(jìn)入定量計(jì)算過程: in-quantitative calculation中插入定語從句: as he had though … but把…嵌入: embed內(nèi)嵌,嵌入: embed嵌入, 插入: build in嵌入,進(jìn)入: fit-into嵌入,深植: embed