Results 71 to 80 of about 4,375 (273)

Phase Engineering of Nanomaterials (PEN): Evolution, Current Challenges, and Future Opportunities

Advanced Materials, EarlyView.
This review summarizes the synthesis, phase transition, advanced characterization spanning ex situ to in situ and operando techniques, and diverse applications of phase engineering of nanomaterials (PEN). It further outlines key challenges and future opportunities, such as phase stability, architecture control, and artificial intelligence (AI)‐driven ...
Ye Chen, Zhanxi Fan, Jingjie Ge, Qiyuan He, Zhuangchai Lai, Jiawei Liu, Chaoliang Tan, Hua Zhang   +7 more
wiley   +1 more source

Prospective primary school mathematics teachers’ professional knowledge of the ‘House of Quadrilaterals’

LUMAT
Mathematics teachers ought to possess solid knowledge of different school mathematics topics. Though classification of quadrilaterals (‘House of Quadrilaterals’) is an important and integral part of geometry curricula worldwide, research reports on ...
Ana Kuzle
doaj   +1 more source

Epitaxially Integrated Electro‐Optic KNbO3 Thin Films on Silicon

Advanced Materials, EarlyView.
We demonstrate the first epitaxial integration of electro‐optic KNbO3 thin films on silicon using suboxide molecular‐beam epitaxy. Combining adsorption‐controlled molecular‐beam epitaxy, advanced characterization, and phase‐field modeling, we demonstrate phase‐pure crystalline films mirroring bulk crystals with robust Pockels response, enabling future ...
Sankalpa Hazra, Tobias Schwaigert, Yingxin Zhu, Aiden Ross, Muhammad Aminul Haque Chowdhury, Shun‐Li Shang, Sameer Singh, Zhiyu Zhang, Zhe Wang, Brynn Brower, Saugata Sarker, Suchismita Sarker, Zi‐Kui Liu, Rama K. Vasudevan, Long‐Qing Chen, Yang Yang, Darrell G. Schlom, Venkatraman Gopalan   +17 more
wiley   +1 more source

On Rational Distance Point Problem for Quadrilaterals

四川大学学报. 自然科学版, 2016
In the present paper, by pointing out some errors in reference [17], we know that the well-known integer distance point problem of Steinhaus is still open. Using the result of Galois extension, we discuss the Steinhaus problem for some quadrilaterals. In
Yang Shi-Chun, 廖群英
doaj  

RATIONAL QUADRILATERALS

Rocky Mountain Journal of Mathematics
A quadrilateral is said to be rational if its four sides, the two diagonals and the area are all expressible by rational numbers. The problem of constructing rational quadrilaterals dates back to the seventh century when Brahmagupta gave an elegant solution of the problem. In 1848 Kummer gave a method of generating all rational quadrilaterals.
openaire   +2 more sources

Sub‐nm2 Ferroelectric Domains via Charged 180° Walls in ZrO2

Advanced Materials, EarlyView.
Ferroelectric ZrO2${\rm ZrO}_2$ thin films host closely spaced charged 180∘$^{\circ }$ domain walls that vertically compress polar domains beyond their lateral half‐unit‐cell limit. These head‐to‐head and tail‐to‐tail walls show distinct bulk‐like structures, natural oxygen‐mediated stabilization, and highly asymmetric mobility, highlighting new ...
Nashrah Afroze, Hamoon Fahrvandi, Guodong Ren, Pawan Kumar, Christopher Nelson, Sarah Lombardo, Mengkun Tian, Ping‐Che Lee, Jiayi Chen, Manifa Noor, Kisung Chae, Sanghyun Kang, Prasanna Venkat Ravindran, Matthew Bergschneider, Gwan Yeong Jung, Pravan Omprakash, Gardy K. Ligonde, Nujhat Tasneem, Dina Triyoso, Steven Consiglio, Kanda Tapily, Robert Clark, Gert Leusink, Jayakanth Ravichandran, Shimeng Yu, Andrew R Lupini, Andrew C Kummel, Kyeongjae Cho, Duk‐Hyun Choe, Nazanin Bassiri‐Gharb, Josh Kacher, Rohan Mishra, Jun Hee Lee, Asif Khan   +33 more
wiley   +1 more source

How abstraction of a pre-service teacher in constructing relationships among quadrilaterals

Journal on Mathematics Education
ion is essential to learning mathematics because the mathematical concepts obtained through abstraction will be more meaningful than directly receiving these concepts.
Hodiyanto, Mega Teguh Budiarto, Rooselyna Ekawati, Gemi Susanti, Jeonghyeon Kim, Ebenezer Bonyah   +5 more
doaj   +1 more source

Quantum Saturation of the Electro‐Optic Effect

Advanced Materials, EarlyView.
At low temperatures, quantum fluctuations saturate the ferroelectric soft mode, suppressing thermal sensitivity in functional properties. By tuning the phase boundaries of ferroelectric materials to 0 K, large temperature insensitive electro‐optic effects are realized, establishing a pathway toward high‐efficiency optical modulation for quantum ...
Aiden Ross, Sankalpa Hazra, Albert Suceava, Dylan Sotir, Ian Reed Philippi, Darrell G. Schlom, Venkatraman Gopalan, Long‐Qing Chen   +7 more
wiley   +1 more source

Quadrilaterals and Bretschneider's Formula

, 2018
We all learn at a young age how to calculate areas of squares or rectangles, but areas of irregular quadrilaterals are seldom mentioned. However, irregular quadrilaterals often appear in the real world.
Maria C. Jorge, C. E. Garza-Hume, A. Olvera   +2 more
core   +1 more source

Ultralow Loading Iridium Doped Hollandite Manganese Oxide Nanowires for Efficient Acidic Oxygen Evolution Reaction

Advanced Materials, EarlyView.
Ultralow iridium loading in hollandite MnO2 nanowires delivers an order of magnitude higher Ir mass activity than commercial IrOx for acidic water oxidation. Across pH and potential, Ir stays framework‐associated while Mn reconstructs, yet the most restructured catalyst is not the most dissolved, indicating that dissolution alone is an incomplete ...
Ruihan Li, Roberto dos Reis, Abharana Nagendra, Sejal Vispute, Mark Kazour, Vinayak Dravid, Linsey C. Seitz   +6 more
wiley   +1 more source