منابع مشابه
Angles in Complex Vector Spaces
The article reviews some of the (fairly scattered) information available in the mathematical literature on the subject of angles in complex vector spaces. The following angles and their relations are considered: Euclidean, complex, and Hermitian angles, (Kasner’s) pseudo-angle, the Kähler angle (synonyms for the latter used in the literature are: angle of inclination, characteristic deviation, ...
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We analyse the possible recursive definitions of principal angles and vectors in complex vector spaces and give a new projector based definition. This enables us to derive important properties of the principal vectors and to generalize a result of Björck and Golub (Math. Comput. 1973; 27(123):579–594), which is the basis of today’s computational procedures in real vector spaces. We discuss othe...
متن کاملInner Products and Angles of Complex Numbers
One can prove the following propositions: (1) For all real numbers a, b holds −(a + bi) = −a + (−b)i. (2) For all real numbers a, b such that b > 0 there exists a real number r such that r = b · −⌊ b ⌋ + a and 0 ¬ r and r < b. (3) Let a, b, c be real numbers. Suppose a > 0 and b 0 and c 0 and b < a and c < a. Let i be an integer. If b = c + a · i, then b = c. (4) For all real numbers a, b h...
متن کاملDetermining Multiscale Image Feature Angles from Complex Wavelet Phases
In this paper, we introduce a new multiscale representation for 2-D images named the Inter-Coefficient Product (ICP). The ICP is a decimated pyramid of complex values based on the Dual-Tree Complex Wavelet Transform (DT-CWT). The complex phases of its coefficients correspond to the angles of dominant directional features in their support regions. As a sparse representation of this information, ...
متن کاملGait Recognition Using Joint Moments, Joint Angles and Segment Angles
INTRODUCTION Recognition of gait patterns has been studied intensively during the last decades. Different gait strategies have been elucidated by applying different waveform analysis techniques to biomechanical gait data [1,2] and it has been shown that individuals can be identified using joint angles in the sagittal plane [3]. However, little is known about additional biomechanical variables f...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1928
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.14.11.839