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Origami in education --- Origami --- Japanese paper folding --- Paper folding, Japanese --- Paper work --- Education --- Mathematics

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The art of origami, or paper folding, is carried out using a square piece of paper to obtain attractive figures of animals, flowers or other familiar figures. It is easy to see that origami has links with geometry. Creases and edges represent lines, intersecting creases and edges make angles, while the intersections themselves represent points. Because of its manipulative and experiential nature, origami could become an effective context for the learning and teaching of geometry.In this unique and original book, origami is an object of mathematical exploration. The activities in this book diff

Origami. --- Polyhedra --- Geometrical models --- Japanese paper folding --- Paper folding, Japanese --- Paper work --- Models.

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This open access book provides plenty of pleasant mathematical surprises. There are many fascinating results that do not appear in textbooks although they are accessible with a good knowledge of secondary-school mathematics. This book presents a selection of these topics including the mathematical formalization of origami, construction with straightedge and compass (and other instruments), the five- and six-color theorems, a taste of Ramsey theory and little-known theorems proved by induction. Among the most surprising theorems are the Mohr-Mascheroni theorem that a compass alone can perform all the classical constructions with straightedge and compass, and Steiner's theorem that a straightedge alone is sufficient provided that a single circle is given. The highlight of the book is a detailed presentation of Gauss's purely algebraic proof that a regular heptadecagon (a regular polygon with seventeen sides) can be constructed with straightedge and compass. Although the mathematics used in the book is elementary (Euclidean and analytic geometry, algebra, trigonometry), students in secondary schools and colleges, teachers, and other interested readers will relish the opportunity to confront the challenge of understanding these surprising theorems.

Mathematics. --- Computer science. --- Computer Science. --- Informatics --- Science --- Math --- open access high school mathematics book --- origami book --- elementary mathematics book --- mathematics circle book --- Moti Ben-Ari mathematical surprises --- what is mathematics book --- mathematics independent study --- mathematics problems book --- Matemàtica

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What do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? With the help of 200 colour figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's website, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.

Liaison theory (Mathematics) --- Origami --- Protein folding --- Polyèdres --- Repliement --- Polyhedra. --- Liaison theory (Mathematics). --- Polyèdres --- Protein folding. --- Mathematics. --- Polyhedra --- Protéines --- Folding of proteins --- Proteins --- Polyhedral figures --- Polyhedrons --- Geometry, Solid --- Shapes --- Japanese paper folding --- Paper folding, Japanese --- Paper work --- Linkage theory (Mathematics) --- Schemes (Algebraic geometry) --- Folding --- Conformation

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With recent technological advances in multiple research fields such as materials science, micro-/nano-technology, cellular and molecular biology, bioengineering and the environment, much attention is shifting toward the development of new detection tools that not only address needs for high sensitivity and specificity but fulfil economic, environmental, and rapid point-of-care needs for groups and individuals with constrained resources and, possibly, limited training. Miniaturized fluidics-based platforms that precisely manipulate tiny body fluid volumes can be used for medical, healthcare or even environmental (e.g., heavy metal detection) diagnosis in a rapid and accurate manner. These new detection technologies are potentially applicable to different healthcare or environmental issues, since they are disposable, inexpensive, portable, and easy to use for the detection of human diseases or environmental issues—especially when they are manufactured based on low-cost materials, such as paper. The topics in this book (original and review articles) would cover point-of-care detection devices, microfluidic or paper-based detection devices, new materials for making detection devices, and others.

sepsis --- PCT --- procalcitonin --- immunoassay --- antibiotic --- chemiluminescence --- immunofluorescence --- n/a --- origami-based paper analytic device --- origami ELISA --- IgG --- paraquat --- diabetes mellitus --- ketone bodies --- human breath --- acetone --- beta-hydroxybutyrate --- acetoacetate --- gas chromatography-mass spectrometry (GC-MS) --- type 2 diabetes --- diabetic peripheral neuropathy (DPN) --- electrocardiogram (ECG) --- photoplethysmography (PPG) --- percussion entropy index (PEI) --- decision making, computer-assisted --- decision support systems, clinical --- precision medicine --- computational biology --- molecular tumor board --- cBioPortal --- requirements analysis --- neoplasms --- pH value --- diagnosis --- skin --- wound --- blood --- coagulation --- hemostasis --- point of care --- ROTEM --- TEG --- thromboelastography --- VHA --- viscoelastic testing --- partial-thickness burn injury --- burn blister fluid --- P-ELISA --- angiogenin --- burn wound healing --- Alzheimer’s disease --- β-amyloid peptide --- paper-based ELISA --- P-ELISA, point of care testing --- microfluidics --- point-of-care diagnostics --- antimicrobial resistance --- lab-on-a-chip --- capillary-driven flow --- capillary action --- detections --- smartphone imaging --- lateral flow assay --- immuno-chromatographic --- gold nanoparticles sensor --- UV/Vis spectrophotometer --- malaria pan rapid diagnostic strip --- point-of-care --- Alzheimer's disease