Results 61 to 70 of about 64,339 (324)

Of the use of the “English sector” in trigonometry: what amount of mathematical training was necessary in the 18th century? [PDF]

, 2016
In 1723 Edmund Stone published The construction and principal uses of mathematical instruments, which was essentially a translation from the French of Bion’s Traité de la construction et des principaux usages des instrumens de mathématique (1709).
Blanco Abellán, Mónica
core   +2 more sources

Emergent Ferromagnetism at LaFeO3/SrTiO3 Interface Arising from a Strain‐Induced Spin‐State Transition

Advanced Materials Interfaces, EarlyView.
Strain at the LaFeO3/SrTiO3 interface induces spin‐state disproportionation, creating a checkerboard pattern of low‐ and high‐spin Fe3+ ions. This unusual configuration leads to interfacial ferromagnetism in an otherwise antiferromagnetic insulator. Using electron microscopy, spectroscopy, and density functional theory, this work reveals a new route to
Menglin Zhu, Joseph Lanier, Sevim Polat Genlik, Jose G. Flores, Victor da Cruz Pinha Barbosa, Mohit Randeria, Patrick M. Woodward, Maryam Ghazisaeidi, Fengyuan Yang, Jinwoo Hwang   +9 more
wiley   +1 more source

Radical Reactivity of Thioimidates for Diversified Polymeric Amidines with Tunable Properties

Angewandte Chemie, EarlyView.
Thioimidates serve as a synthetic branch point for other functional groups but are relatively unexplored in radical and polymer chemistry. This study marks the first investigation of thioimidate radical chemistry and subsequent elaboration into diverse polymeric amidines.
Selin Kinali‐Demirci, Serkan Demirci, Jacob Byerly‐Duke, Brett VanVeller   +3 more
wiley   +2 more sources

A General Approach to Dropout in Quantum Neural Networks

Advanced Quantum Technologies, EarlyView., 2023
Randomly dropping artificial neurons and all their connections in the training phase reduces overfitting issues in classical neural networks, thus improving performances on previously unseen data. The authors introduce different dropout strategies applied to quantum neural networks, learning models based on parametrized quantum circuits.
Francesco Scala, Andrea Ceschini, Massimo Panella, Dario Gerace   +3 more
wiley   +1 more source

The combinatorial structure of trigonometry

International Journal of Mathematics and Mathematical Sciences, 2003
The native mathematical language of trigonometry is combinatorial. Two interrelated combinatorial symmetric functions underlie trigonometry. We use their characteristics to derive identities for the trigonometric functions of multiple distinct angles ...
Adel F. Antippa
doaj   +1 more source

A Lesson Plan with an Arc Midpoint [PDF]

, 2013
The article introduces an explicit way of locating the arc midpoint in the Cartesian plane, which is consistent for both x- and y-coordinates and is technically accessible for students starting as young as fifteen.
Akulov, G. V., Akulov, O. G.
core   +1 more source

The fundamental theorem of algebra: A most elementary proof

, 2011
This paper shows an elementary and direct proof of the Fundamental Theorem of Algebra, via Bolzano-Weierstrass Theorem on Minima and the Binomial Formula, that avoids: any root extraction other than the one used to define the modulus function over the ...
de Oliveira, Oswaldo Rio Branco
core   +2 more sources

Asymmetric Synthesis of Highly Substituted Spiro[2H‐pyrrole‐2,3‐Succinimide] Derivatives by Copper‐Catalyzed Post‐Ugi Reactions

Advanced Synthesis &Catalysis, EarlyView.
Abstract Herein we present a novel one‐pot methodology for the synthesis of enantioenriched 2H‐pyrrolespirosuccinimides by copper‐catalyzed reactions on Ugi adducts derived from enantiopure α‐alkylbenzyl amines through a chirality transfer process. We have proposed a mechanism, supported by density functional theory (DFT) calculations, where a hydrogen
Javier Gómez‐Ayuso, Israel Carreira‐Barral, Roberto Quesada, María García‐Valverde   +3 more
wiley   +1 more source

Hypothetical learning trajectory trigonometry based on problem-based learning with Jambi Malay ethnomathematics nuances

Al-Jabar, 2023
Background: Trigonometry is a challenging subject for many high school students. Incorporating cultural relevance, such as Jambi Malay ethnomathematics, into teaching can be a way to facilitate understanding.
Vikri Hamdani, Armiati Armiati, I Made Arnawa, Elita Zusti Jamaan   +3 more
doaj   +1 more source

Activation of Kir4.1 Channels by 2‐D08 Promotes Myelin Repair in Multiple Sclerosis

Advanced Science, EarlyView.
Multiple sclerosis causes myelin loss and neurological dysfunction. This study shows that 2‐D08, a small molecule targeting Kir4.1 channels, promotes OPCs differentiation via FYN tyrosine kinase phosphorylation and the FYN/MYRF pathway. It significantly improves myelin repair and motor deficits in EAE mice and marmosets, highlighting its potential as a
Mingdong Liu, Shengyu Jin, Xin Fu, Chong Xie, Yi Chen, Liangtang Chang, Yongheng Fan, Donghua He, Xiaoqi Hong, Xi Shen, Xiaoli Zheng, Qiyue Wang, Dao Shi, Fangyuan Li, Daishun Ling, Yangtai Guan, Neng Gong, Xiaoping Tong   +17 more
wiley   +1 more source