singularity of space time 中文意思是什麼
singularity of space time
解釋
時空奇點- singularity : n. 1. 奇特；特別；非凡，異常；奇特的東西；怪癖，特性。2. 〈罕用語〉獨一，單一，獨個。3. 【天文學】奇點〈宇宙物體收縮至無限大密度和無限小體積的空間的一個假想點〉；【數學】奇點。
- of : OF ＝Old French 古法語。
- 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 ...
- time : n 1 時，時間，時日，歲月。2 時候，時刻；期間；時節，季節；〈常pl 〉時期，年代，時代； 〈the time ...
-
Lacking of space locality in time domain, fourier analysis can only make certain of the integral singularity of a function or signal. as a result ; it is difficult to detect the spatial position and distribution of broken signal by fourier analysis. wavelet analysis has the characteristic of spatial locality, and its wideness in both windows of the time and the frequency can be adjusted, so it can analyze the details of a signal
小波分析優于傅里葉之處在於，小波分析在時域和頻域同時具有良好的局部化性質，因為小波函數是緊支集，而三角正、餘弦的區間是無窮區間，所以小波變換可以對高頻成分採用逐漸精細的時域或空間域取代步長，從而可以聚焦到對象的任意細節。 -
Lacking of space locality in time domain, fourier analysis can only make certain of the integral singularity of a function or signal. as a result, it is difficult to detect the spatial position and distribution of broken signal by fourier analysis. wavelet analysis has the characteristic of spatial locality, and its wideness in both windows of the time and the frequency can be adjusted, so it can analyze the details of a signal
經典的fourier變換把信號按三角正、餘弦基展開，將任意函數表示為具有不同頻率的諧波函數的線性迭加，能較好地刻劃信號的頻率特性，但它在時空域上無任何分辨，不能作局部分析，這在理論和應用上都帶來了許多不便。
分享友人