高次項 的英文怎麼說
中文拼音 [gāocìxiàng]
高次項
英文
high-order term-
Abstract : in fourier transform profilometry, because of the nonlinear relationship between the irradiant incident upon a ccd dete ctor andthe voltage it outputs, it will cause phase evaluation errors. here, we ex plain the errorsource by theoretical deducing, then make a simulation. at last, a method to decrease thiserror is put forward
文摘:在傅里葉變換輪廓術中，由於ccd探測器光電響應的非線性，將在測量中引入高次項，從而對相位的求解造成較大誤差，通過理論的推導定性地解釋了誤差的來由，並用計算機進行了模擬計算，最後提出了減小誤差的方法。Too high a degree polynomial produces lower residuals, but at the expense of smoothness in the derivative.
一個很高次數的多項式會產生較低的殘差，但卻要破壞導數的光滑性。The higher-order terms arise from nonlinearities and cross-axis sensitivity.
高次項是由外線性和軸間耦合靈敏度所產生的。Following is our main work and important conclusions : ( 1 ) the question of energy spectrum hardening. we used the klein - nishina ' s differential scatter formula, meanwhile utilize the thaler progression to spread out, and neglected the high - power, and then we deduced a theoretical formula of correction of energy spectrum hardening
其主要工作和結論如下： （ 1 ）對x射線能譜硬化問題，把klein - nishina微分散射方程，利用泰勒級數展開，在忽略高次項的情形下，近似地推導出了能譜硬化修正公式。For the dynamics of polynomials with higher degree, for example, the quar - tic polynomials, the branner - hubbard - yoccoz puzzle theory should be extended
對于更高次多項式，譬如四次多項式，可能有多個臨界點需要考慮，此時必須推廣branner - hubbard - yoccoz理論。Distribution of limit cycles for a class of higher - degree degenerate planar polynomial systems of codimension two
一類余維2的高次退化平面多項式系統的極限環分佈Distribution of limit cycles for a class of higher - degree degenerate planar polynomial systems of codimension two is discussed
摘要討論了一類余維2的高次退化平面多項式系統的極限環分佈，證明了此系統至多存在3個極限環。By companion matrix of polynomial gave one necessary and sufficient conditions of two polynomial having common roots, according to the above gives one method to solute dual higher order equation
摘要利用多項式的伴侶陣給出兩多項式有公共根的一個充要條件，並據此給出解二元高次方程的一種方法。Chapter two study iteration of a serial of polynomial, discussed the sufficient and necessary conditions and denseness of the julia set, the relative random dynamical system is constructed by some high degree polynomial. in addition, it discuss the mandelbrot set of a kind of polynomial
本文的第二章主要研究多個函數的特定迭代序列，討論了高次多項式的隨機復動力系統的julia集的連通的充分必要條件以及稠密性問題，同時還討論了一類多項式函數的mandelbrot集。The clues and techniques to improve the resolution of data processing are 1 ) removing the affection of near surface factors on data acquisition, including static correction and noise eliminating technique etc, 2 ) broadening the frequency band of pre - stack seismic data, including amplitude compensation and pre - stack deconvolution etc, 3 ) improving s / n ratio of high frequency and weak reflection signals through multiple coverage with high precision velocity analysis, residual static correction and high - order nmo, raising " dead line of high frequency reflection ", and 4 ) identifying post stack effective reflection frequency band, enhancing dominant frequency and so on
主要包括：消除近地表因素對資料採集的影響，包括靜校正和噪音壓制技術等；疊前拓寬地震資料領帶，包括振幅補償和疊前反褶積技術等；藉助高精度速度分析、剩餘靜校正和高次項nmo技術，通過多次覆蓋疊加，消除資料中隨機噪聲干擾、提高資料信噪比，尤其是高頻端反射信息的信噪比，改善高頻反射和弱反射信號信噪比，提高「高頻反射死亡線」 ；疊後有限反射頗帶識別、抬高優勢頻率等。Through analyzing the spinning echo, the arithmetic of " estimation of signal with polynomial phase " is adopted to estimate parameter of echo ' s phase. then the influence of high step phase pro duced by spin is removed. the one - dimension range - profile can be renewed by this arithmetic and the good effect is showed by the result of simulation in chapter v, the main works of this dissertation are summarized and the future researched areas are pointed out
通過對自旋目標回波的分析，本章採用了「多項式相位信號系數估計」演算法對回波相位進行參數估計，可以去掉旋轉產生的相位高次項影響，從而恢復給出目標的一維距離像，模擬實驗表明本演算法取得了好的效果。As the cam profile with constant - velocity - constant - acceleration ramp feature and with continuous higher derivative lift feature is widely adopted in the advanced high - speed internal combustion engines, the cam ramp profile is fitted with a reasonable function and the cam - lift profile is fitted with a polynomial function
考慮到高速內燃機的凸輪大多採用具有等加速-等速特徵的緩沖段和高階導數連續特徵的工作段型式，用等加速-等速函數擬合緩沖段實測升程數據，用整體式高次多項式函數擬合工作段實測升程數據。The real runoff time series was divided into the high frequency item and the low frequency item with the help of the wavelet analysis first, then the two items were modeled by chaos theory and the stepwise regression algorithm, at last the output of the two models were added together.
論文首先藉助小波分析，將實測徑流時間序列分解為高頻項和低頻項兩項，其次對這兩項分別用混沌理論和逐步回歸理論建模，其中混沌預報藉助基於自組織法求解的的volterra級數來完成，然後將兩者結果疊加起來。The results indicates that the cubic logarithm polynomials can accurately reconstruct the raw thermal images in the experiment, and can effectively suppress the interference to defect recognition caused by random noise and uneven heating in the pt testing of composite laminates ; the digital images from data reconstruction have clearer defect display or higher defect resolution than the raw thermal images, and the quadratic coefficient image of cubic logarithm regression shows the highest snr
結果表明利用三次對數多項式回歸即可精確地重建本次實驗的原始熱像，同時能有效地克服復合材料層壓板脈沖熱像檢測中隨機噪聲和加熱不均效應對缺陷識別的干擾；經過數據重建后所作的數字圖像比原始熱像有更高的缺陷顯示度或分辨力，其中以三次對數多項式回歸公式中的二次項系數所作的數字圖像的信噪比最大。The global semi - stability of two kinds of the polynomial system
兩類高次多項式系統的全局半穩定性In multi - pose face recognition based on a single view : ( 1 ) the technology approaches of multi - pose face recognition are firstly studies based on single view or small samples in details. ( 2 ) a new multi - pose face recognition algorithm is developed based on single view. it first generates the multi - pose face images based on a fit method with a high order polynomial function. then, it does face recognition based on the single view and the generated multi - pose images
在研究基於單視圖的多姿態人臉識別方面，一、詳細研究了基於單視圖或小樣本的多姿態人臉識別的可能技術途徑；二、提出了一種新的基於單視圖的多姿態人臉識別技術，它先基於高次多項式函數擬合方法由單視圖通過變形生成多姿態人臉圖像，后基於該單視圖和生成的多姿態圖像進行多姿態人臉識別，實驗結果表明該演算法識別正確率大大高於經典演算法；三、詳細研究了幾種基於單視圖或小樣本的多姿態人臉圖像生成技術，它們是基於單視圖或小樣本的多姿態人臉識別的關鍵技術。A variable is sampled in a certain increment, and introduced into the equations. there are two sets of any two equations to be solved. the real solutions of the two sets are protracted in spatial coordinate system to obtain two curves, so that the intersection points of the two curves can be found as the solution of the original equations
針對所得三元高次多項式方程組，採用數學分析軟體mathematica編製程序，以一定的步長增量，在一定范圍內取一個變量的值，並將其代入方程組中，求解其中一個方程分別與另外兩個方程聯立的方程組的解，將得到的實數解繪製成兩條空間曲線，其交點即為原三元方程組的解。A set of nonlinear equations of precise synthesis are established for special case according to co - planarity and equal distance conditions. by resultant elimination, 3 polynomial equations containing 3 variables are obtained. all of the groups of real solution within a certain value range are generated with computer graphic method
針對實現兩個函數，每個函數四個精確點的rssr機構，通過結式消元法消元，得到三元高次多項式方程組，並採用計算機圖解法，在一定值范圍內解出了方程組的全部實數解。In this dissertation, we study the global topological classification and coefficient conditions of the plane homogeneous fifth polynomial differential system the main techniques used in this thesis includes the methods of the global structure and coefficient conditions of the plane homogeneous quadratic and cubic system mentioned in the paper [ 1 ] of professor ye yanqian, and the paper [ 2 ] of professor li xue min, also includes the idea to high - order critical point of professor zhang zhifen, lu yulin and han yuliang etc. due to the degree of polynomial in the right of equal - sign crease, when we discuss the global structure, the more special directions, the more difficulty in drawing phase portraits of this system
本文主要討論一類平面齊五次多項式微分系統的全局拓撲結構及系數條件。借鑒了文獻[ 1 ]葉彥謙教授對平面齊二次系統的全局結構及系數條件和文獻[ 2 ]李學敏教授對平面齊三次系統的全局結構及系數條件的研究方法，同時綜合了張芷芬教授、陸毓麟教授、韓玉良教授等人對高次奇點的研究思想進行討論。這樣，由於等號右邊多項式次數的增加，討論系統的全局結構時，可能出現的特殊方向就會增加，在作全局相圖時，難度增大了。His first idea was to get rid of the term next to the highest in degree by a substitution.
他的頭一個想法是用置換法消去比最高次項次數小一次的項。分享友人