Results 191 to 200 of about 22,937,031 (254)
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1998
The Haar basis is known since 1910. Here we consider the Haar basis on the real line IR and describe some of its properties which are useful for the construction of general wavelet systems. Let L2 (IR) be the space of all complex valued functions f on IR such that their L2-norm is finite: $$ \left\| {f\left\| {2 = \left( {\int_{ - \infty }^\infty {\
Wolfgang Härdle +3 more
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The Haar basis is known since 1910. Here we consider the Haar basis on the real line IR and describe some of its properties which are useful for the construction of general wavelet systems. Let L2 (IR) be the space of all complex valued functions f on IR such that their L2-norm is finite: $$ \left\| {f\left\| {2 = \left( {\int_{ - \infty }^\infty {\
Wolfgang Härdle +3 more
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Subsequences of the Haar system
1997If the H.s. is an unconditional basis of an r.i. space E, then the spaces spanned by subsequences of the H.s. are complemented in E. These spaces can be characterized in the following form.
Igor Novikov, Evgenij Semenov
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2020 4th International Conference on Trends in Electronics and Informatics (ICOEI)(48184), 2020
The attendance system is used to track and monitor whether a student attends a class. There are different types of attendance systems like Biometric-based, Radiofrequency card-based, face recognition based and old paper-based attendance system.
Bharath Tej Chinimilli +4 more
semanticscholar +1 more source
The attendance system is used to track and monitor whether a student attends a class. There are different types of attendance systems like Biometric-based, Radiofrequency card-based, face recognition based and old paper-based attendance system.
Bharath Tej Chinimilli +4 more
semanticscholar +1 more source
The Haar system and martingales
1997Let β 1 ⊂ β 2 ⊂ ... ⊂ β n ⊂ ... be an increasing sequence of σ-subalgebras of Σ. A sequence {x n } n=1 ∞ of integrable functions is said to be a martingale with respect to {β n } n=1 ∞ if for all n.
Igor Novikov, Evgenij Semenov
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2004
In this chapter we will present an example of an orthonormal system on [0,1] known as the Haar system. The Haar basis is the simplest and historically the first example of an orthonormal wavelet basis. Many of its properties stand in sharp contrast to the corresponding properties of the trigonometric basis (Definition 2.5).
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In this chapter we will present an example of an orthonormal system on [0,1] known as the Haar system. The Haar basis is the simplest and historically the first example of an orthonormal wavelet basis. Many of its properties stand in sharp contrast to the corresponding properties of the trigonometric basis (Definition 2.5).
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Rearrangements of the Haar system
Mathematical Notes of the Academy of Sciences of the USSR, 1974It is proved that any fixed rearrangement of the Haar system either is or is not a system of convergence almost everywhere simultaneously for all classes Lp[0, 1] (1 ≤ p ≤ ∞).
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Haar wavelet approach to linear stiff systems
Mathematics and Computers in Simulation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a Property of the Haar system
Mathematical Notes, 2006Let \[ A_0=\{[0,1), [0,1/2), [1/2,1), [0,1/4), [1/4,1/2), [1/2,3/4), [3/4,1),\dots\} \] be the set of all binary half-open intervals, \(A=A_0\cup [0,1]\), and let \(\{h_I, I\in A\}\) be the Haar system numbered by the elements of the set \(A\) as follows: \(h_I(t)=|I|^{-1}\) for \(t\in I^+\), \(h_I(t)=-|I|^{-1}\) for \(t\in I^-\) and \(h_I(t)=0\) for \(
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Generalized Haar Systems and Monotone Bases
1997The purpose of this chapter is to describe monotone bases in r.i. spaces. If any contractive projection P satisfying the condition Pk (0,1) = k (o,1) is a conditional expectation, then such description can be given in terms of generalized Haar systems. We start in section 10.a with the characterization of r.i. spaces with the above mentioned property.
Igor Novikov, Evgenij Semenov
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Generalization of Golubov’s Result for the Haar System
Mathematical Notes, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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