Mathematical background
نویسنده
چکیده
1 Linear algebra 2 1.1 Inner product, norm, distance, and orthogonality . . . . . . . . . 2 1.2 Angle and inequality . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Vector projection . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.4 Basics of matrices . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.5 Matrix multiplication . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.6 Determinant and inverse of a square matrix . . . . . . . . . . . . 8 1.7 Eigenvalue, eigenvector, rank and trace of a square matrix . . . . 9 1.8 Singular value decomposition . . . . . . . . . . . . . . . . . . . . 11 1.9 Positive (semi-)definite real symmetric matrices . . . . . . . . . . 11
منابع مشابه
2-d Object Recognition Using Surveillance Video Processing on Daubechies Wavelet Decomposition
The project suggests effective motion recognition built on background subtraction using dynamic threshold approach with mathematical morphology. Here the techniques frame differencing, dynamic threshold based detection will be used. In addition to dynamic threshold, mathematical morphology is also used within ability of greatly attenuating color dissimilarities has generated by background motio...
متن کاملA mathematical model to determine optimum cadence for an individual cyclist using power output, heart rate and cadence data collected in the field PhD Thesis
1 Chapter 1: Introduction 2 1.1. Background ............................................................................................................................ 2 1.2. Aims and objectives ............................................................................................................... 4 Chapter 2: Sports Science background 5 2.
متن کاملIncorporating Ensemble Covariance in the Gridpoint Statistical Interpolation Variational Minimization: A Mathematical Framework
Gridpoint statistical interpolation (GSI), a three-dimensional variational data assimilation method (3DVAR) has been widely used in operations and research in numerical weather prediction. The operational GSI uses a static background error covariance, which does not reflect the flow-dependent error statistics. Incorporating ensemble covariance in GSI provides a natural way to estimate the backg...
متن کاملText Confining and Extraction in Image Using Mathematical Morphology
Extraction of text from an image having complex background is much difficult and a challenging task. Text in any image contains very useful information. Due to difference in style, size, alignment and complex background, text extraction becomes a challenging task. In this paper we confine and extract text characters from an image. To get the text character from an image, we use mathematical mor...
متن کاملMathematical description and prognosis of synergistic interaction of radon and tobacco smoking
Background: Radon and its short-lived decay products are considered as the important sources of public exposure to natural radioactivity. The synergistic interaction between tobacco smoking and radon is known to be an actual problem. This study has provided a mathematical description and prognosis of the carcinogenic effects after combined action of radon with smoking. Materials and Me...
متن کاملHigh Points Recognition Method of Scraped Surface Based on Background Subtraction
Using computer vision library OpenCV, a method of automatic recognition high points of scraped workpiece surface is presented. The image is dealt with by background subtraction, Median filtering, morphological processing, image negates, contour finding and drawing contours. In order to accurately and efficiently recognize the high-point contours and mark its center positions, mathematical morph...
متن کامل