对于仿射变换，指出了仿射变换可以由其对一组仿射基的变换来唯一确定。
For affine transformations, we find that they can be determined uniquely by their functions on one affine basis.
对于仿射变换，指出了仿射变换可以由其对一组仿射基的变换来唯一确定。
For affine transformations, we find that they can be determined uniquely by their functions o...
本文主要说明在各种情况下，如何正确写出矩阵，并解决了基矢和矢量变换中的有关问题。
This paper mainly explains how to Corectly Write the matrices under kinds of circumstances, and resolves concerning problems in the transformation of basic vector and vectors.
本文用欧几里得算法，给出求解基矢变换对应矩阵的解析表达式。
An analytical method to find correspondence matrix for basic vector transformation is given by using elementary theory of numbers.
本文讨论了光学测量中的若干变换基，测量链和由此产生的仪器群以及它们的实际应用。
In this paper, some transform basis, measurement Chain and instrument series in optical measurement is discussed, same its application is considered.
应用向量空间的基变换，给出了一种求有穷数列通项公式的新方法。
This paper applies the base transformation invertor space and gives a new solution to the common item equation of finite series.
分析了按时间抽取（DIT）基-2快速傅里叶变换（FFT）的误差，数据格式为二进制补码。
The error of the decimate in time (DIT) radix-2 fast Fourier transform (FFT) is analyzed, where the data format is two's complement.
该变换引入了各向异性分解方式，由此得到的小波基在各个方向上尺度可以不同，并具有更好的方向性。
By introducing anisotropic decomposition into the transform, the associated wavelet bases may have different sizes in different dimensions, and better directivity.
该变换具有最优稀疏约束条件，能使一次波在一组基函数上的投影能量尽可能小。
The transform is characterized by optimum sparseness constraint condition that makes the mapping energy of primary reflections on a set of basis function as small as possible.
提出了基于变时基短时傅里叶变换来分析和处理时变信号的技术。
Measuring and analyzing technology based on variable-time-interval Fourier transform was dealt with for vehicle accelerating noise signal.
提出了欧拉向量、欧拉方向余弦矩阵、欧拉基变换方向余弦矩阵等概念，并给出相应的公式。
Some conceptions and the correspoinding equation is put forward, such as Euler vector, Euler orientation cosine matrix and Euler switch orientation cosine matrix.
在分析小波变换物理本质和奇异性检测原理的基础上，研究了小波基和白噪声对信号奇异性检测性能的影响。
Based on analyzing the physical essence and the principle of singularity detection, this paper discusses the effect of wavelet bases and white noise on signal singularity detection.
针对油田抽油机井故障诊断方法较落后和故障信息采集不充分的问题，提出一种小波变换基神经网络故障诊断系统。
Aiming at the questions of pump-jack fault diagnosis method backward and diagnosis information lack of, it is proposed a kind of wavelet transform based neural network fault diagnosis system.
然后用相同的小波基对给定的环境光做小波变换，只保留其中绝对值较大的系数，从而得到环境光的非线性逼近。
Then, it approximates the environment map in the same wavelet basis by keeping only the largest terms to get a non-linear approximation of the environment-map.
用时间分辨-傅立叶变换红外发射光谱法研究了OH自由基与CO的反应。
The reaction of OH radical with co was investigated by time-resolved Fourier transform infrared (TR-FTIR) spectroscopy.
核心模块快速傅立叶逆变换（IFFT）采用基于16位定点运算的基-2时间抽取算法和流水线结构。
The radix-2 decimation-in-time algorithm based on 16-bit fixed-point operation and pipeline architecture are adopted in the core module IFFT(Inverse Fast Fourier Transform).
小波包变换能作为一种有效工具对信号特性进行精细分析，同时提供具有良好时频局部性的正交小波包基。
Wavelet packet transform is used as an efficient tool for precisely analyzing signal property, and provides orthogonal wavelet packet bases with better time frequency localization function.
在分析小波变换消噪原理和方法的基础上，研究了影响小波变换消噪效果的两个主要因素：小波基函数和阀值。
Probed into the two factors of the signal de-noising effect basing on the wavelet transform basing on the analysis of the theory and methods of the wavelet transform: wavelet function and threshold.
借助矩阵的合同变换法，给出了化实二次型为标准形的方法、求标准正交基的方法，并给出了正定二次型判定定理的新证明。
By means of congruent transformation in matrix, the method of transforming real quadratic form into standard form and the method of normal orthogonal basis are given in this paper.
分析了图像小波变换后小波系数的特征，讨论了优化小波系数的小波基选择问题。
Have analyzed properties of wavelet coefficients obtained from an image through wavelet transform, and discussed how to select wavelet basis to optimize wavelet coefficients.
基于小波变换对信号去噪进行了深入地分析和研究，结合去噪原理讨论和比较了实际应用中对小波基及阈值规则的合理选取问题。
Combining with the denoising principle, the rational selection issue concerning more suitable wavelet base and the best threshold rule in actual application is discussed and compared.
对用矩阵的初等变换求线性规划的无初始可行基问题进行了探讨。
The paper probes into the solution, by means of the matrix elementary transformation, of the non-elementary feasible base of linear program.
把有限集中的置换推广到可数集上，引入基轮换、轮换及变换的可数次合成等概念的定义。
The permutation of the finite set is introduced into the denumerable set as well as the definition of the basic rotation, the rotation and the composition of the countability.
本文推出了磁化强度矢量与极化强度矢基的相对论变换关系，证明了M和P可构成两个洛伦兹不变量，从而可加深对M和P的理解。
The transformation of polarization vector and magnetization vector is derivedand thereafter two Lorentz invariants containing M and Pare proved.
本文研究了基2的时域抽取快速傅立叶变换各阶段的并行性，并据此设计了相应的蝶形和倒序运算核，在GPU上实现了二维fft运算。
This paper studies the parallelism of the different stages of decimation in time radix 2 FFT algorithm, designs the butterfly and scramble kernels and implements 2d FFT on GPU.
针对小波变换在故障检测与测距中应用的实际问题如小波基函数、小波变换初始数据、行波波速的选取等进行了研究。
The practical problems in the fault detection and fault location using the wavelet transform, such as the wavelet basis function, the initial data, the velocity of traveling wave are studied.
针对小波变换在故障检测与测距中应用的实际问题如小波基函数、小波变换初始数据、行波波速的选取等进行了研究。
The practical problems in the fault detection and fault location using the wavelet transform, such as the wavelet basis function, the initial data, the velocity of traveling wave are studied.
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