Results 51 to 60 of about 126,693 (204)
Goodness‐of‐Fit Tests for Positive Quadrant Dependence
Summary When two random variables are positive quadrant dependent (PQD), they are more likely to assume small (or large) values simultaneously compared with when the random variables are independent. This dependence structure is of interest in many areas, including finance, actuarial science and engineering.
Chuan‐Fa Tang, Joshua M. Tebbs
wiley +1 more source
Parametric Time‐Variation in the Unconditional Volatility: Estimation and Inference
ABSTRACT We propose modeling time‐variation in the unconditional volatility by augmenting the standard GARCH model by a deterministic time‐varying intercept. The model, called the additive time‐varying (ATV‐)GARCH model, can be interpreted as a reduced form of a model including covariates and can be derived from a multiplicative decomposition of ...
Niklas Ahlgren +2 more
wiley +1 more source
Trigonometric Polynomial Solutions of Bernoulli Trigonometric Polynomial Differential Equations
We consider real trigonometric polynomial Bernoulli equations of the form A(θ)y′=B1(θ)+Bn(θ)yn where n≥2, with A,B1,Bn being trigonometric polynomials of degree at most μ≥1 in variables θ and Bn(θ)≢0. We also consider trigonometric polynomials of the form A(θ)yn−1y′=B0(θ)+Bn(θ)yn where n≥2, being A,B0,Bn trigonometric polynomials of degree at most μ≥1 ...
openaire +2 more sources
Quantifier Elimination for Trigonometric Polynomials by Cylindrical Trigonometric Decomposition
The authors present a quantifier elimination algorithm for some first-order formulas involving the trigonometric functions sine and cosine based on the cylindrical algebraic decomposition of semi-algebraic sets due to Collin (see \textit{G. E. Collins}, Lect. Notes Comput. Sci. 33, 134-183 (1975; Zbl 0318.02051)).
Petru Pau, Josef Schicho
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Active Learning in Precalculus: The Impact of Redesigning a Large Enrollment Course
ABSTRACT This paper describes an active learning instructional approach that was designed based on the principles outlined in the 2018 Mathematical Association of America Instructional Practices Guide and was implemented in a large enrollment Precalculus course at a large urban institution with a high percentage of students from underrepresented ...
Aimee J. Ellington
wiley +1 more source
On the Convergence of Conjugate Trigonometric Polynomials [PDF]
Abstract Sufficient conditions are found, under which for 𝑓 ∈ 𝐶([–π, π]) or 𝑓 ∈ 𝐿([–π, π]) the convergence of a sequence of trigonometric polynomials in the norms of these spaces implies the convergence of their conjugates in the same norms.
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Bridging Dimensions in STEAM Education: Linking 2D Function Art and 3D Modeling Using GeoGebra
ABSTRACT This study examines a constructionist‐oriented STEAM learning activity in which Grade 11 students used GeoGebra 3D to model bridges. Building on prior work in function art, the project extended mathematical art‐making from two‐dimensional representations to three‐dimensional structures, emphasizing the use of functions, geometric ...
Guillermo Bautista Jr +4 more
wiley +1 more source
SQUARE–FREE FACTORIZATION OF MIXED TRIGONOMETRIC–POLYNOMIALS
This paper proposes a procedure to square-free factorization of mixed trigonometric-polynomials and some examples are presented to show the effectiveness of the algorithm.
Xinyu, Ge; id_orcid, Shiping, Chen
core +1 more source
On the Minimum Modulus of Trigonometric Polynomials [PDF]
For all even integers N N greater than 2, a trigonometric polynomial
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ABSTRACT Wind power has become one of the fastest growing renewable energy sources globally and plays a central role in Finland's electrical grid system, where it already accounts for approximately one quarter of total electricity generation. The increasing penetration of converter‐interfaced wind power plants introduces challenges for grid stability ...
Marek Rehtla +3 more
wiley +1 more source

