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Proof by mathematical induction: Professional practice for secondary teachers [PDF]

open access: yes, 2017
Mathematical induction is a proof technique that can be applied to establish the veracity of mathematical statements. This professional practice paper offers insight into mathematical induction as it pertains to the Australian Curriculum: Mathematics ...
Hine, G
core   +1 more source

Radical Retention and Functional Stability of Plasma‐Polymerized Nanoparticles for Long‐Term Biofunctionalization

open access: yesAdvanced Materials Interfaces, EarlyView.
Plasma polymerized nanoparticles (PPNs) offer a solvent‐free route to functional nanocarriers with long‐lived radicals. This study establishes design principles for long‐term storage of PPNs, demonstrating that dry‐phase storage retains radical content, covalent reactivity, and bioactivity over extended periods. These findings advance the translational
Elmer Austria Jr.   +11 more
wiley   +1 more source

Mathematical Proof through Toulmin Argumentation Schema: A SLR in the Context of Mathematics Education

open access: yesIndonesian Journal of Educational Research and Review
Proof and argumentation are integral components in mathematics education, as argumentation serves as a crucial foundation in constructing mathematical proofs.
Putri Haryani Syahar   +3 more
doaj   +1 more source

From the Discovery of the Giant Magnetocaloric Effect to the Development of High‐Power‐Density Systems

open access: yesAdvanced Materials Technologies, EarlyView.
The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz   +5 more
wiley   +1 more source

THE I-CON MODEL IN CONSTRUCTING MATHEMATICAL PROOF

open access: yesJurnal Eduscience
Purpose-This research aims to analyze the role of the I-CON model in constructing mathematical proofs. Methodology-The research used is qualitative with a grounded theory approach.
Abdul Mujib   +3 more
doaj   +1 more source

Acceptable gaps in mathematical proofs

open access: yesSynthese, 2018
Mathematicians often intentionally leave gaps in their proofs. Based on interviews with mathematicians about their refereeing practices, this paper examines the character of intentional gaps in published proofs. We observe that mathematicians’ refereeing practices limit the number of certain intentional gaps in published proofs.
openaire   +3 more sources

MEMS‐Based Magnetoelectric Antennas for Wireless Power Transmission in Brain‐Implantable Devices

open access: yesAdvanced Materials Technologies, EarlyView.
Magnetoelectric (ME) antennas allow the minimization of the invasiveness of brain implantable devices, via powering wirelessly systems able to actuate neural tissue. In order to achieve the necessary power efficiency transmission, the choice of the materials and the system assembly is vital.
Laura Mazón‐Maldonado   +5 more
wiley   +1 more source

Mathematical Proofs at a Crossroad? [PDF]

open access: yes, 2004
For more than 2000 years, from Pythagoras and Euclid to Hilbert and Bourbaki, mathematical proofs were essentially based on axiomatic-deductive reasoning. In the last decades, the increasing length and complexity of many mathematical proofs led to the expansion of some empirical, experimental, psychological and social aspects, yesterday only marginal ...
Cristian S. Calude, Solomon Marcus
openaire   +2 more sources

Post‐Processing Strengthened 3D Artificial Fingertip with Multi‐Intensity Pain Perception

open access: yesAdvanced Materials Technologies, EarlyView.
The 3D multi‐intensity pain‐perceptive artificial fingertip (HBAF) is designed, whose mechanical and conductive properties are highly improved via novel post‐processing. With the soft adhesive gel layer, which is grown on the base of HBAF, it is seamlessly assembled with the robotic hand and further evaluates the safe factor of gripping.
Huijing Li   +6 more
wiley   +1 more source

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