Results 201 to 210 of about 1,391,864 (262)

Calculus on Manifolds

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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Co-estimation of state of charge and state of power for lithium-ion batteries based on fractional variable-order model

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, He Long, Wang Shuyu, Long Zhou, Yinfan Zhang, T. Sun, Yuejiu Zheng   +6 more
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Functions of one Variable: Differential Calculus

2009
If 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, Volker Nollau, Klaus Vetters   +2 more
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Predictive model for stress relaxation behavior of glassy polymers based on variable‐order fractional calculus

Polymers for Advanced Technologies, 2020
In this article, a novel constitutive model using fractional calculus is developed to capture the stress relaxation behavior of glassy polymers, where a variable‐order differential operator based on Marchaud fractional derivative is adopted. To assess the validity of the proposed model, a series of stress relaxation tests of the representative glassy ...
Guangjian Xiang, Deshun Yin, Ruifan Meng, Chenxi Cao   +3 more
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Functions of one Variable: Integral Calculus

2009
Polynom division and partial fraction decomposition lead to integrals over polynomials and special partial fractions. The partial fractions can be integrated by the use of formulas from the ▸ table of indefinite integrals.
Bernd Luderer, Volker Nollau, Klaus Vetters   +2 more
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King algorithm: A novel optimization approach based on variable-order fractional calculus with application in chaotic financial systems

Chaos, Solitons & Fractals, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samaneh Soradi-Zeid, Hadi Jahanshahi, Amin Yousefpour, Stelios Bekiros   +3 more
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Differential Calculus of One Variable

1995
Students taking the course on mathematical methods generally protested vigorously when told that we were going to start with a review of calculus, on the grounds that they knew it all. Now, that proved to be the case for some, while for many it was somewhat different: either they once knew it, or thought they once knew it, or actually knew someone who ...
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Operational Calculus in One Variable

1976
Let ℱ denote the algebra of all function f on –π≤θ≤π, with $$f(\theta ) = \sum\limits_{ - \infty }^\infty {{C_n}{e^{in\theta }}} ,\sum\limits_{ - \infty }^\infty {|{C_n}|}
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Integral Calculus for Functions of one Variable

2002
Every function F: (a, b) → ℝ satisfying the relation F′(x) = f(x) for all x ∈ (a, b) is called a primitive of the function f: (a, b) → ℝ The set of all primitives {F + C|C ∈ ℝ} is said to be the indefinite integral of f on (a, b); C is the integration constant. Notation: ∫ f(x) dx = F(x) + C.
Bernd Luderer, Volker Nollau, Klaus Vetters   +2 more
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Differential Calculus for Functions of one Variable

2002
If {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, Volker Nollau, Klaus Vetters   +2 more
openaire   +1 more source