Results 101 to 110 of about 92,076 (301)
Advanced Science, EarlyView.A DNA‐functionalized biohybrid hydrogel is developed by integrating Cu‐mediated nucleic acid microflowers into a thermoresponsive matrix, enabling electrothermally triggered, on‐demand payload release. The platform offers spatiotemporally controllable therapeutic delivery with promising applications in precision oncology, neural regulation, and chronic
Mengqiu Sun +8 more
wiley +1 more source
, 2009 In this paper we report on our analysis of textbooks commonly used for teaching students about proof in geometry in lower secondary school in Japan. From our analysis we found that, as expected from the curriculum specification, deductive reasoning is ...
Kunimune, Susumu +2 more
core
What Do We Mean by Mathematical Proof?
, 2011 Mathematical proof lies at the foundations of mathematics, but there are several notions of what mathematical proof is, or might be. In fact, the idea of mathematical proof continues to evolve. In this article, I review the body of literature that argues
CadwalladerOlsker, Todd +1 more
core +1 more source
Flexoelectricity in Photoconversion: Fundamentals, Materials, and Outlooks
Advanced Science, EarlyView.Mechanical bending of a flexible cantilever induces a strain gradient in the photoactive material. The resulting flexoelectric field couples with photovoltaic and photoconductive effects, modulating charge generation, separation, and collection. A comparative analysis of oxide perovskites, halide perovskites, and two‐dimensional materials is presented,
Xiang Huang, Feng Li, Rongkun Zheng
wiley +1 more source
Acerca de la enseñanza y el aprendizaje de la demostración en matemáticas
Revista Integración, 2013 En el presente documento realizamos una recopilación bibliográfi- ca de las principales investigaciones acerca de la enseñanza y el aprendizaje de la demostración, con el ánimo de aportar fuentes de consulta a la comunidad de educadores en matemáticas
Jorge Fiallo +2 more
doaj
Mathematical proofs in practice: revisiting the reliability of published mathematical proofs
, 2014 Mathematics seems to have a special status when compared to other areas of human knowledge. This special status is linked with the role of proof. Mathematicians often believe that this type of argumentation leaves no room for errors and unclarity. Philosophers of mathematics have differentiated between absolutist and fallibilist views on mathematical ...
Frans, Joachim, Kosolosky, Laszlo
openaire +3 more sources
Towards a Comprehensive Conception of Mathematical Proof
, 2018 There is overwhelming evidence that students face serious challenges in learning mathematical proof. Studies have found that students possess a superficial understanding of mathematical proof. With the aim of contributing to efforts intended to develop a
Mtetwa, David. J. +5 more
core +1 more source
TRIM: Simultaneous Thermometry, Ranging, and Imaging via a Monolithic Metalens
Advanced Science, EarlyView.ABSTRACT While metasurfaces offer a pathway beyond the discrete architectures of conventional LWIR systems, physically fusing high‐precision thermometry and passive ranging onto a single metalens remains a formidable challenge. Here, we demonstrate a monolithic, dual‐focus metalens capable of simultaneous multidimensional sensing.
Man Yuan +10 more
wiley +1 more source
Learning from Experts to Aid the Automation of Proof Search.
, 2009 Most formal methods give rise to proof obligations (POs) which are putative lemmas that need proof. Discharging these POs can become a bottleneck in the use of formal methods in practical applications.
Bundy, Alan +2 more
core
Mathematical Proof Between Generations
International audienceA proof is one of the most important concepts of mathemat-ics. However, there is a striking difference between how aproof is defined in theory and how it is used in practice.This puts the unique status of mathematics as exact ...
Paulsen, Lawrence +11 more
core +1 more source