The Periodicity of Residuals $\Delta _{\varphi }$ and $\Delta \theta $ of The Double Star ADS 11520

D. Olević; D. Djurović

Displaying similar documents to “The Periodicity of Residuals $Δ_{ϕ}$ and $Δ θ$ of The Double Star ADS 11520”

Filling boxes densely and disjointly

J. Schröder (2003)

Commentationes Mathematicae Universitatis Carolinae

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We effectively construct in the Hilbert cube $ℍ = {[0, 1]}^{ω}$ two sets $V, W \subset ℍ$ with the following properties: (a) $V \cap W = \emptyset$ , (b) $V \cup W$ is discrete-dense, i.e. dense in ${[0, 1]}_{D}^{ω}$ , where ${[0, 1]}_{D}$ denotes the unit interval equipped with the discrete topology, (c) $V$ , $W$ are open in $ℍ$ . In fact, $V = ⋃_{ℕ} V_{i}$ , $W = ⋃_{ℕ} W_{i}$ , where $V_{i} = ⋃_{0}^{2^{i - 1} - 1} V_{i j}$ , $W_{i} = ⋃_{0}^{2^{i - 1} - 1} W_{i j}$ . $V_{i j}$ , $W_{i j}$ are basic open sets and $(0, 0, 0, ...) \in V_{i j}$ , $(1, 1, 1, ...) \in W_{i j}$ , (d) $V_{i} \cup W_{i}$ , $i \in ℕ$ is point symmetric about $(1 / 2, 1 / 2, 1 / 2, ...)$ . Instead of $[0, 1]$ we could have taken any $T_{4}$ -space or a digital interval, where the resolution (number of points) increases with $i$ .

Van der Corput sets in $ℤ^{d}$

Vitaly Bergelson, Emmanuel Lesigne (2008)

Colloquium Mathematicae

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In this partly expository paper we study van der Corput sets in $ℤ^{d}$ , with a focus on connections with harmonic analysis and recurrence properties of measure preserving dynamical systems. We prove multidimensional versions of some classical results obtained for d = 1 by Kamae and M. Mendès France and by Ruzsa, establish new characterizations, introduce and discuss some modifications of van der Corput sets which correspond to various notions of recurrence, provide numerous examples and formulate...

A classification for real and complex finite dimensional $\mathcal{F}^{*}$ -algebras

Mauro Meschiari (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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La presente Nota contiene una lista di $J^{\star}$ -algebre reali di dimensione finita ed una lista di $J^{\star}$ -algebre complesse di dimensione finita tali che: 1) due elementi distinti di ogni lista non sono mai $J^{\star}$ -isomorfi; 2) ogni $J^{\star}$ -algebra di dimensione finita reale (complessa) è $J^{\star}$ —isomorfa su $\mathbf{R}$ (su $\mathbf{C}$ ) alla somma diretta, finita, di $J^{\star}$ -algebre reali (complesse) elencate nella lista. In altre parole, diamo qui una classificazione completa delle $J^{\star}$ —algebre reali e delle $J^{\star}$ -algebre complesse di dimensione...

A classification for real and complex finite dimensional $\mathcal{F}^{*}$ -algebras

Mauro Meschiari (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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On cumulative $^{13}$ C breath tests: An effort to improve the accuracy of test results revealed a substantial uncertainty in input data

Chleboun, Jan, Kocna, Petr

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A cumulative $^{1} 3$ C breath test can be used to detect a pancreatic disorder, for example. The test is burdened by uncertain input data. Among them, the estimation of CO $_{2}$ production rate is a key issue. An established estimate based on the body surface area could be replaced by an estimate using the basal metabolic rate. Although the latter estimate might be considered more appropriate than the former, the differences between them are large in some sex and agegroups. Such disagreements pose...

The generalized Holditch theorem for the homothetic motions on the planar kinematics

Nuri Kuruoğlu, Salim Yüce (2004)

Czechoslovak Mathematical Journal

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W. Blaschke and H. R. Müller [4, p. 142] have given the following theorem as a generalization of the classic Holditch Theorem: Let $E / E^{'}$ be a 1-parameter closed planar Euclidean motion with the rotation number $ν$ and the period $T$ . Under the motion $E / E^{'}$ , let two points $A = (0, 0)$ , $B = (a + b, 0) \in E$ trace the curves $k_{A}, k_{B} \subset E^{'}$ and let $F_{A}, F_{B}$ be their orbit areas, respectively. If $F_{X}$ is the orbit area of the orbit curve $k$ of the point $X = (a, 0)$ which is collinear with points $A$ and $B$ then $F_{X} = \frac{[a F_{B} + b F_{A}]}{a + b} - π ν a b .$ In this paper, under the 1-parameter closed planar homothetic...

Orthogonal series estimation of band-limited regression functions

Waldemar Popiński (2014)

Applicationes Mathematicae

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The problem of nonparametric function fitting using the complete orthogonal system of Whittaker cardinal functions $s_{k}$ , k = 0,±1,..., for the observation model $y_{j} = f (u_{j}) + η_{j}$ , j = 1,...,n, is considered, where f ∈ L²(ℝ) ∩ BL(Ω) for Ω > 0 is a band-limited function, $u_{j}$ are independent random variables uniformly distributed in the observation interval [-T,T], $η_{j}$ are uncorrelated or correlated random variables with zero mean value and finite variance, independent of the observation points. Conditions...

Seismic inversion for a crak opening

Michele Caputo, Rodolfo Console (1988)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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The displacement field caused by the classic earthquake mechanism model consisting of a slip along the fault is extended to the case when besides the slip, also an opening occurs caused by tensional forces. The tensor matrix describing the moment tensor does not necessarily have a nil trace. The direct problem is solved finding the radiation pattern for $P$ and $S$ waves. A method to solve the inverse problem of the determination of the four parameters describing the source is presented...

Spaces with star countable extent

A. D. Rojas-Sánchez, Angel Tamariz-Mascarúa (2016)

Commentationes Mathematicae Universitatis Carolinae

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For a topological property $P$ , we say that a space $X$ is star $P$ if for every open cover $𝒰$ of the space $X$ there exists $A \subset X$ such that $s t (A, 𝒰) = X$ . We consider space with star countable extent establishing the relations between the star countable extent property and the properties star Lindelöf and feebly Lindelöf. We describe some classes of spaces in which the star countable extent property is equivalent to either the Lindelöf property or separability. An example is given of a Tychonoff star Lindelöf...

Orthogonal series regression estimation under long-range dependent errors

Waldemar Popiński (2001)

Applicationes Mathematicae

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This paper is concerned with general conditions for convergence rates of nonparametric orthogonal series estimators of the regression function. The estimators are obtained by the least squares method on the basis of an observation sample $Y_{i} = f (X_{i}) + η_{i}$ , i=1,...,n, where $X_{i} \in A \subset ℝ^{d}$ are independently chosen from a distribution with density ϱ ∈ L¹(A) and $η_{i}$ are zero mean stationary errors with long-range dependence. Convergence rates of the error $n^{- 1} \sum_{i = 1}^{n} (f (X_{i}) - f ̂_{N} (X_{i})) ²$ for the estimator $f ̂_{N} (x) = \sum_{k = 1}^{N} c ̂_{k} e_{k} (x)$ , constructed using an orthonormal system...

Seasonal time-series imputation of gap missing algorithm (STIGMA)

Eduardo Rangel-Heras, Pavel Zuniga, Alma Y. Alanis, Esteban A. Hernandez-Vargas, Oscar D. Sanchez (2023)

Kybernetika

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This work presents a new approach for the imputation of missing data in weather time-series from a seasonal pattern; the seasonal time-series imputation of gap missing algorithm (STIGMA). The algorithm takes advantage from a seasonal pattern for the imputation of unknown data by averaging available data. We test the algorithm using data measured every $10$ minutes over a period of $365$ days during the year 2010; the variables include global irradiance, diffuse irradiance, ultraviolet irradiance,...

Displaying similar documents to “The Periodicity of Residuals Δ ϕ and Δ θ of The Double Star ADS 11520”

Displaying similar documents to “The Periodicity of Residuals $Δ_{ϕ}$ and $Δ θ$ of The Double Star ADS 11520”