Results 61 to 70 of about 53,534 (260)

Mathematics History and Cognitive Values on a Didactic Sequence: Teaching Trigonometry

REDIMAT, 2018
This article summarizes the preparation and the results of a study, which aimed to evaluate the effectiveness of historical-philosophical approach in teaching trigonometry in association with the detection of cognitive values, as presented by Lacey.
Helenara Regina Sampaio Figueiredo, Irinéa de Lourdes Batista   +1 more
doaj   +1 more source

SEVERAL APPROACHES IN PRESENTING TRIGONOMETRIC INTRODUCTION LEARNING [PDF]

, 2015
This research was the result of library study explaining several approaches in presenting trigonometric introduction learning viewed from the chronology of trigonometry inception to be a starting point or an outline in developing a trigonometric learning
Ika, Wulandari, Purna, Bayu Nugroho
core  

One‐Pot Ruthenium‐Catalyzed Synthesis of Benzyl/Allyl‐Halide Substituted (dihydro)naphthalenes via Radical Benzannulation

ChemistryEurope, EarlyView.
A one‐pot protocol to synthesize reactive benzyl‐ and allyl‐halide‐substituted (dihydro)naphthalenes from 2,3‐aryl‐1,3‐butadiene substrates and halogenated alkanes has been developed, using [Cp*RuCl(PPh3)2] as the catalyst. Mechanistic studies revealed an atom transfer radical addition and radical benzannulation sequence, followed by HCl elimination ...
Nicole S. van Leeuwen, David Vesseur, Thijmen Bonhoff, Jeffrey van Laar, Coert E. J. van Lare, Simon Mathew, Sonja Pullen, Joost N. H. Reek, Aalbert Zwijnenburg, Bas de Bruin   +9 more
wiley   +1 more source

Understanding the Transition between High School and College Mathematics and Science [PDF]

, 2010
Mathematics and science education is gaining increasing recognition as key for the well-being of individuals and society. Accordingly, the transition from high school to college is particularly important to ensure that students are prepared for college ...
Basile, C., Culpepper, S. A., Ferguson, C. A., Lanning, J. A., Perkins, M. A.   +4 more
core   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Transformation of Trigonometric Functions into Hyperbolic Functions Based on Cable Statics

Applied Sciences
Trigonometric functions are widely used to express relationships between the sides and angles of triangles, being fundamental in a wide variety of fields in science and engineering.
Julian Garcia-Guarin
doaj   +1 more source

On the works of Euler and his followers on spherical geometry [PDF]

, 2014
We review and comment on some works of Euler and his followers on spherical geometry. We start by presenting some memoirs of Euler on spherical trigonometry. We comment on Euler's use of the methods of the calculus of variations in spherical trigonometry.
Papadopoulos, Athanase
core  

Analytical stress solution framework for lined compressed air energy storage chambers and its application to safe burial depth determination and supporting effectiveness evaluation

Deep Underground Science and Engineering, EarlyView.
An analytical framework delivers a closed‐form stress solution for lined compressed air energy storage chambers, enabling the determination of the minimum safe burial depth. The solution quantitatively evaluates lining support effectiveness, offering a reliable tool for chamber design and optimization.
Zeyuan Sun, Cheng Zhao, Jinquan Xing, Qinyuan Luo   +3 more
wiley   +1 more source

Neural Network Models for Solar Irradiance Forecasting in Polluted Areas: A Comparative Study

Energy Science &Engineering, EarlyView.
Pollution‐aware hybrid ensemble model is proposed to forecast solar irradiance across eight diverse cities. The model integrates MLP, RNN, and NARX to handle varying atmospheric pollution levels. The model outperforms state‐of‐the‐art methods with enhanced accuracy and interpretability on standard solar irradiance data set.
Mujtaba Ali, Muhammad Yaqoob Javed, Aamer Bilal Asghar, Khurram Hashmi, Abbas Javed, Basem Alamri, Krzysztof Ejsmont   +6 more
wiley   +1 more source

Did Lobachevsky Have A Model Of His "imaginary Geometry"? [PDF]

, 2010
The invention of non-Euclidean geometries is often seen through the optics of Hilbertian formal axiomatic method developed later in the 19th century. However such an anachronistic approach fails to provide a sound reading of Lobachevsky's geometrical ...
Rodin, Andrei
core   +1 more source