In cases where cancer is fatal, 9 out of 10 times the culprit is metastasis. This is when the primary tumor has sent out cells, like seeds, and invaded other organs of the body. While medicine has made great progress in treating ...
Jul 24, 2024
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The human brain is responsible for critical functions, including perception, memory, language, thinking, consciousness, and emotions.
Jul 16, 2024
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Using genetic engineering techniques, investigators at the Johns Hopkins Kimmel Cancer Center and its Ludwig Center, the Lustgarten Laboratory and Bloomberg~Kimmel Institute for Cancer Immunotherapy have designed a novel ...
Jul 10, 2024
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Innovative research, presented today at the ESHRE 40th Annual Meeting in Amsterdam, has introduced a novel 3D imaging model designed to identify features of blastocysts—the early stage of development for an implanted embryo—associated ...
Jul 8, 2024
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Researchers at University of Tsukuba have pioneered a state-of-the-art wearable device capable of precisely and continuously measuring trace perspiration amounts. This innovative device is adept at monitoring perspiration ...
Jul 3, 2024
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Acute lymphoblastic leukemia (ALL) is the most common cancer in children. This form of blood cancer, which also occurs in adults, is caused by malignantly degenerated precursor cells of certain white blood cells (B-cell precursors ...
Jul 1, 2024
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EPFL scientists have discovered that in indoor spaces, droplets containing the flu virus will remain infectious for longer when they also contain certain types of bacteria found in our respiratory tract. This finding provides ...
Jun 26, 2024
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For all the time I spend digging, planting, pulling and weeding, one would think I'd have some poison ivy horror stories to tell, but I do not. I can't say for sure whether I'm immune to the rash that tortures so many of ...
Jun 25, 2024
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In studies with genetically engineered mice, Johns Hopkins Medicine researchers say they have identified a potentially new biological target involving Aplp1, a cell surface protein that drives the spread of Parkinson's disease-causing ...
Jun 17, 2024
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Close to half of America's tap water contains PFAS, or perfluoroalkyl and polyfluoroalkyl substances. These "forever chemicals" are in thousands of products, from clothing and cosmetics to cleaning products, and are linked ...
Jun 12, 2024
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In mathematics, specifically in topology, a surface is a two-dimensional topological manifold. The most familiar examples are those that arise as the boundaries of solid objects in ordinary three-dimensional Euclidean space R3 — for example, the surface of a ball or bagel. On the other hand, there are surfaces which cannot be embedded in three-dimensional Euclidean space without introducing singularities or intersecting itself — these are the unorientable surfaces.
To say that a surface is "two-dimensional" means that, about each point, there is a coordinate patch on which a two-dimensional coordinate system is defined. For example, the surface of the Earth is (ideally) a two-dimensional sphere, and latitude and longitude provide coordinates on it — except at the International Date Line and the poles, where longitude is undefined. This example illustrates that not all surfaces admits a single coordinate patch. In general, multiple coordinate patches are needed to cover a surface.
Surfaces find application in physics, engineering, computer graphics, and many other disciplines, primarily when they represent the surfaces of physical objects. For example, in analyzing the aerodynamic properties of an airplane, the central consideration is the flow of air along its surface.
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