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Integral Calculus of Functions of One Variable
2016A function \(f:{\mathbb {T}}\rightarrow {\mathbb {R}}\) is called regulated provided its right-sided limits exist (finite) at all right-dense points in \({\mathbb {T}}\) and its left-sided limits exist (finite) at all left-dense points in \({\mathbb {T}}\).
Martin Bohner, Svetlin G. Georgiev
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Integral Calculus of Functions of One Variable
1994The function F x) is said to be a primitive primitive function indefinite integral) of the function f x) in the interval (a b), if the relation F′(x f x) holds for all x ∈ (a ...
K. Rektorys
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A proof of the completeness of the infinite-valued calculus of Łukasiewicz with one variable
1995In the literature one can find three quite different proofs of the completeness of the infinite-valued sentential calculus of Lukasiewicz [8]: (i). the syntactical proof of Rose and Rosser [7], using McNaughton’s theorem, (ii). the algebraic proof of Chang [1, 2], using quantifier elimination in the first-order theory of divisible ...
MUNDICI, DANIELE, M. PASQUETTO
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The how and why of one variable calculus
The Mathematical Gazette, 2016J. Baylis
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Calculus, Volume 1 (One Variable Calculus, with an Introduction to Linear Algebra).
The American Mathematical Monthly, 1970E. D. Bolker, Tom M. Apostol
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Calculus of One Variable. By J. W. KitchenJr. Pp. xiii, 785. 78s. 1968. (Addison-Wesley.)
The Mathematical Gazette, 1969W. Ferrar, J. Jr.
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Lectures on the Geometry of Manifolds, 2020
Description: The three higher-dimensional versions of the fundamental theorem of calculus – Green's theorem, the divergence theorem, and Stokes' theorem – that one encounters in a typical multi-variable calculus course have two paradoxical ...
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Description: The three higher-dimensional versions of the fundamental theorem of calculus – Green's theorem, the divergence theorem, and Stokes' theorem – that one encounters in a typical multi-variable calculus course have two paradoxical ...
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Journal of Cleaner Production, 2020
This paper proposes a co-estimation scheme of the state of charge (SOC) and the state of power (SOP) for lithium-ion batteries in electric vehicles based on a fractional-order model (FOM).
X. Lai +6 more
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This paper proposes a co-estimation scheme of the state of charge (SOC) and the state of power (SOP) for lithium-ion batteries in electric vehicles based on a fractional-order model (FOM).
X. Lai +6 more
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Differential Calculus for Functions of one Variable
2002If {x n } is an arbitrary sequence of points converging to the point x 0 such that x n ∈ D f , then the number a ∈ ℝ is called the limit of the function f at the point x 0 if \(\mathop {\lim }\limits_{n \to \infty } f({x_n}) = a.\) Notation: \(\mathop {\lim }\limits_{x \to {x_0}} f(x) = a\;(or\,f(x) \to a\;for\;x \to {x_0}).\)
Bernd Luderer +2 more
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Functions of one Variable: Differential Calculus
2009If in addition to the above conditions the restricting requirement x n > x 0 (x n < x 0) is true, then one speaks about the limit from the right (from the left).
Bernd Luderer +2 more
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