Results 61 to 70 of about 184,466 (302)

Relations between Generalization, Reasoning and Combinatorial Thinking in Solving Mathematical Open-Ended Problems within Mathematical Contest

open access: yesMathematics, 2020
Algebraic thinking, combinatorial thinking and reasoning skills are considered as playing central roles within teaching and learning in the field of mathematics, particularly in solving complex open-ended mathematical problems Specific relations between ...
Janka Medová   +2 more
doaj   +1 more source

A Note on the Difference of Powers and Falling Powers

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2021
Combinatorial sums and binomial identities have appeared in many branches of mathematics, physics, and engineering. They can be established by many techniques, from generating functions to special series.
Taoufik Sabar
doaj   +1 more source

Multiple-Solution Tasks in Pre-Service Teachers Course on Combinatorics

open access: yesMathematics, 2021
In the paper, we present a study devoted to the utilization of multiple-solution tasks (MSTs) in combinatorics as a part of a pre-service teachers course on didactics of mathematics from the view of the mathematics teachers’ specialized knowledge (MTSK ...
Ingrid Semanišinová
doaj   +1 more source

Statistics on Graphs, Exponential Formula and Combinatorial Physics [PDF]

open access: yes, 2009
The concern of this paper is a famous combinatorial formula known under the name "exponential formula". It occurs quite naturally in many contexts (physics, mathematics, computer science).
Duchamp, G. H. E.   +3 more
core   +2 more sources

Enhancing Corrosion Resistance and Mechanical Strength of 3D‐Printed Iron Polylactic Acid for Marine Applications via Laser Surface Texturing

open access: yesAdvanced Engineering Materials, EarlyView.
Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat   +6 more
wiley   +1 more source

Mathematics and Word Play [PDF]

open access: yes, 2010
Many mathematicians enjoy wordplay, and for obvious reasons. it is almost a branch of combinatorial mathematics. The pleasure derived from solving a combinatorial problem is very much like the pleasure of solving a cryptogram or a crossword puzzle, or ...
Gardner, Martin
core   +1 more source

Geometric Optimization and Mechanical Performance Enhancement of Auxetic Structures for High‐Impact Applications Through Fused Deposition Modeling

open access: yesAdvanced Engineering Materials, EarlyView.
This study explores the mechanical performance of three auxetic structures, identifying a re‐entrant‐star hybrid as the most effective for impact absorption. Finite element simulations and experiments demonstrate significant gains in energy absorption and flexural strength after geometric optimization. This study investigates the mechanical performance
Malik Hassan   +4 more
wiley   +1 more source

X‐Ray Tomography Analysis of Damage Mechanisms in Metal Matrix Syntactic Foams During Compression

open access: yesAdvanced Engineering Materials, EarlyView.
In situ synchrotron X‐ray tomography is used to investigate the internal damage mechanisms of AlSi12 metal matrix syntactic foam with ceramic hollow spheres during compressive loading. It is concluded that a homogeneous distribution of the second‐phase filler material results in a sequential collapse in a localized region; this leads to controlled and ...
Indrajeet Tambe   +8 more
wiley   +1 more source

Enabling Digital Continuity in Virtual Manufacturing for Eco‐Efficiency Assessment of Lightweight Structures by Means of a Domain‐Specific Structural Mechanics Language: Requirements, Idea and Proof of Concept

open access: yesAdvanced Engineering Materials, EarlyView.
This article presents a solver‐agnostic domain‐specific language (DSL) for computational structural mechanics that strengthens interoperability in virtual product development. Using a hierarchical data model, the DSL enables seamless exchange between diverse simulation tools and numerical methods.
Martin Rädel   +3 more
wiley   +1 more source

On Tight Euclidean 6-Designs: An Experimental Result

open access: yesJournal of Mathematical and Fundamental Sciences, 2013
A finite set n X ⊆ ℝn with a weight function w: X → â„ > 0 is called Euclidean t-design in â„ > 0 (supported by p concentric spheres) if the following condition holds:           1 i p i  i i S x X w X f d w f S  ï€
Djoko Suprianto
doaj   +1 more source

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