The theory of functions of a real variable / by 349984 Jeffery, Ralph Lent

Theory of functions of a real variable / by 343708 Natanson, I. P., Boron, Leo F., Hewitt, Edwin

The Weighted Square Integral Inequalities for the First Derivative of the Function of a Real Variable by M. Shashiashvili, J. Pečarić, S. Hussain

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The Weighted Square Integral Inequalities for the First Derivative of the Function of a Real Variable by Hussain S, Pečarić J, Shashiashvili M

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Real and abstract analysis : a modern treatment of the theory of functions of a real variable / by 349953 Hewitt, Edwin, Stromberg, Karl R.

Advanced calculus of real-valued functions of a real variable and vector-valued functions of a vector varaible / by 270458 Sagan, Hans

Nikolai Nikolaevich Luzin at the crossroads of the dramatic events of the European history of the first half of the 20th century by Sergeĭ S. Demidov

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At the Heart of Analysis: Intuitionism and Philosophy by Charles McCarty

“…One’s first impression is that Brouwer’s Continuity Theorem of intuitionistic analysis, that every total, real-valued function of a real variable is continuous, stands in straightforward contradiction to a simple theorem of conventional real analysis, that there are discontinuous, real-valued func­tions. …”
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Addendum to Alternative analysis generated by a differential equation by Z. Z. Khukhunashvili, Z. V. Khukhunashvili

“…It does not change any results presented in the paper, but excludes the mistake of applying the mean value theorem for a complex valued function of a real variable. The mean value theorem is not needed.…”
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Separable mixing: The general formulation and a particular example focusing on mask efficiency by M. C. J. Bootsma, K. M. D. Chan, O. Diekmann, H. Inaba

“…A key general feature is that all information about the heterogeneity is encoded in one nonlinear real valued function of a real variable. Next, we specialize the model ingredients so that we can study the efficiency of mask wearing as a non-pharmaceutical intervention to reduce the spread of an infectious disease. …”
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Study of the Hypergeometric Equation via Data Driven Koopman-EDMD Theory by Evangelos Melas, Costas Poulios, Elias Camouzis, John Leventides, Nick Poulios

“…The space of solutions at any of its singular points is a two-dimensional linear vector space on the field of reals when the independent variable is restricted to take values in the real axis and the unknown function is restricted to be a real-valued function of a real variable. A basis of the linear vector space of solutions is spanned by the hypergeometric function and its products with appropriate powers of the independent variable or the logarithmic function depending on the roots of the indicial equation of the hypergeometric equation. …”
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Serial encryption using the functions of real variable by Viktor Avramenko, Volodymyr Demianenko

“…Using the functions of a real variable in cryptosystems as keys allow increasing their cryptographic strength since it is more difficult to select such keys. …”
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Generalized GN'-Function for n-Variable by Hadeel Shubber

“… In this work, we extend the usual theory of Orlicz spaces generated by real valued N-functions of a real variable. In particular, GN*-functions are the generalization of the variable N-functions used by Portnov and the non-decreasing -function by Wang …”
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A sinc function analogue of chebfun by Richardson, M, Trefethen, L

“…Chebfun is an established software system for computing with functions of a real variable, but its capabilities for handling functions with singularities are limited. …”

A Sinc Function Analogue of Chebfun. by Richardson, M, Trefethen, L

“…Chebfun is an established software system for computing with functions of a real variable, but its capabilities for handling functions with singularities are limited. …”

Algebraic structure and basics of analysis of n-dimensional quaternionic space by Deniz Altun, Salim Yüce

“…Afterwards, we gave limit, continuity and the derivative basics of quaternion valued functions of a real variable.…”
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Pre-functions and Extended pre-functions of Complex Variables by Thirumalai A, Muthunagai K, Ritu Agarwal

“…The main objective of this paper is to broaden the scope of pre-functions from functions of a real variable to functions of a complex variable by introducing pre-functions of a complex variable. …”
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Representation of Green’s functions of the wave equation on a segment in finite terms by Malyshev, Ksaverii Yurievich

“…In this paper, finite expressions of Green's functions are given in the form of elementary functions of a real variable. Four different formulations of boundary conditions are considered, including the periodicity conditions.…”
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An Iterative Method for Curve Adjustment Based on Optimization of a Variable and its Application by ROGELIO ACOSTA, SUITBERTO CABRERA, LUIS MANUEL VEGA, ASELA CABRERA, NERSA ACOSTA

“…To find the minimum of the sum of the squared deviations, in each subclass, only techniques of optimization are used for real functions of a real variable.The value of the parameter which gives the best approximation in an iteration is substituted in the general functional class, to retake the variable character of the following parameter and repeat the process, getting a succession of functions. …”
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Recovering autonomous work after the pandemic: analysis in Calculus for incoming Students in Technical Education degrees by Javier Bilbao, Eugenio Bravo, Olatz García, Carolina Rebollar

“…This article shows an experience of autonomous work using Problem Based Learning applied to the study of real functions of a real variable, as part of the subject Calculus of several Engineering degrees. …”
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