Geometry

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    Macrophage responses to foreign material may be size and geometry dependent. Macrophages are master phagocytic cells which scour the body for foreign materials that they phagocytize and destroy. Naturally, macrophages can effectively phagocytize materials which are less than 10 μm. When material size increases (10-100 μm) single macrophages can no longer phagocytize them, instead a giant multinucleated cell called a foreign body giant cell is formed from the fusion of several macrophages in an…

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    Gothic cathedrals are often seen as the microcosm of the universe according to many intelligent sources, however gothic cathedrals are actually a result of the fusion between logic, beauty, and faith. The fusion between material and spiritual things began to rise in popularity during the high Middle Ages because during this time, due to trade, the people of the middle ages began to gain wealth and a love for materialistic things. The community of the middle ages valued both their material things…

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    In geometry, congruence means the figures have the same measure and shape. For a student to effectively discuss congruence they must first recognize the figure and its attributes. To achieve this, the learner must be able to differentiate one figure from another. To compare figures and establish that one is congruent to the other or not, the student pulls on an understanding of shapes. To prove congruence, the student makes connections with axioms, properties, analysis, and logic. The…

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    Medical Imaging

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    How exactly do medical imaging and geometry relate to each other, you may ask. They are certainly different things, but maybe not as different as people might believe. The property that connects these two subjects is 3D reconstruction, which plays a major role in the geometry aspect of medical imaging. First of all, I should explain specifically what 3D reconstruction is: the use of numerical approximation to rebuild 2D images by a computer taking the 2D data slices, reading the data, and…

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    respectively. If the oscillating frequency matches with the rear natural frequency of the building, it leads to resonance effect, which is matter of serious concern. The knowledge on vortex shedding effect on bluff bodies throws light on the design of geometry of the buildings (Kim et al., 2014). Although it is exceptionally ideal to have stream lined buildings, it is pragmatically not possible. But, certain measures can be taken to minimize the effect of vortex shedding on structures. Vortex…

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    represent many of our teachers today. Mr. Setser is an epic hero because he fights monsters, has interferences, and is a superhuman. Mr. Setser is always fighting monsters. In fact, he fights monsters everyday! When he is on his quest of teaching geometry, they always talk over him, refuse to turn in homework, and leave trash out on the tables. Whenever he gets agitated with the monsters he yells…

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    On Folded Wings (Origami)

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    to thank for this art? The Japanese, of course, but without geometry, the art of making art out of nothing wouldn’t exist. Origami is based off numerous mathematical principles, including linear algebra, trigonometry, and geometry. Certain origami folds and operations are impossible to perform without a compass and straightedge, and concentric circles are frequently used on curved origami models. Therefore, a basic knowledge of geometry is needed for making origami and more advanced knowledge…

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    COMPUTER AIDED DESIGN model of the clamp cylinder configuration was prepared and analyzed the same using CAE Software package ANSYS. The same was meshed using SOLID 187 element. As the element is a tetrahedron element, it can map the intricate solid geometry reasonably with good accuracy. The displacement and force boundary conditions are applied and stress and displacement fields gained using FEA software. The constraints and loading conditions for clamp cylinder are shown in Fig. 4. The…

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    contradistinction of principles, Rowe infers that during the Renaissance period, architects manipulated mathematical ratios to ultimately achieve absolute natural beauty. In addition, from the logic of ideal geometry Rowe delineates the difference between perceptual and conceptual. For Palladio geometry operates to improve the visual aesthetics or the perceived beauty of a building while for Le Corbusier…

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    Stent Case Study

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    Implantation of a stent within a coronary artery alters the local hemodynamics modifying the shear stress upon the endothelium. 14 Low endothelial shear stress causes a phenotypic change in which can induce a phenotypic switch in the smooth muscle cells from contractile to secretory as well as increase migration into the intima and proliferation. 15 Overall, regular or high endothelial shear stress maintains the contractile phenotype of the smooth muscle cells therefore inhibiting neointimal…

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