soap film वाक्य
उदाहरण वाक्य
मोबाइल
- We can picture the universe as the curved surface of a membrane like a soap film that changes dynamically in time.
- In 1917 he and G . I . Taylor suggested the use of soap films as a way of studying stress problems.
- It was during a discussion of two-dimensional soap films that Jagla brought in a photograph of a columnar lava formation in Argentina.
- A soap film can be formed by dipping a closed contour wire into a soapy solution as in the figure on the right.
- Her areas of research have included the surface of liquid crystals, foams and foam drainage, mixtures of surfactants and polymers and soap film drainage.
- If surfactants are well chosen and the atmospheric humidity and air movements are suitably controlled, a horizontal soap film can last from minutes to hours.
- In the study of the dynamics of free fluid films, such as soap films, it is common to model the film as two dimensional manifolds.
- For an open soap film, the pressure difference is zero, hence the mean curvature is zero, and minimal surfaces have the property of zero mean curvature.
- Commenting upon his analysis of experimental results from in-laboratory soap film formations, Courant believed that the existence of a physical solution does not obviate mathematical proof.
- In contrast, a vertical soap film is affected by gravity and so the liquid tends to drain, causing the soap film to thin at the top.
- For example, the colours seen in a soap bubble arise from interference of light reflecting off the front and back surfaces of the thin soap film.
- In contrast, a vertical soap film is affected by gravity and so the liquid tends to drain, causing the soap film to thin at the top.
- For this reason, ( open ) soap films of small size are minimal surfaces ( small size reduces gravity effects, and openness prevents pressure from building up.
- Such scale models often employed stocking material or tights, or soap film, as they behave in a very similar way to structural fabrics ( they cannot carry shear ).
- To continue the physical analogy of soap film given above, these Goldschmidt solutions can be visualized as instances in which the soap film breaks as the circular wires are stretched apart.
- To continue the physical analogy of soap film given above, these Goldschmidt solutions can be visualized as instances in which the soap film breaks as the circular wires are stretched apart.
- With an experiment of soap film and a short glass fiber, mathematicians at New York University have worked out some underlying principles of how something like a willow tree withstands powerful gusts.
- By the Young Laplace equation the curvature of a soap film is proportional to the difference in pressure between the sides : if it is zero, the membrane has zero mean curvature.
- Physical models of area-minimizing minimal surfaces can be made by dipping a wire frame into a soap solution, forming a soap film, which is a minimal surface whose boundary is the wire frame.
- The question as to whether a minimal surface with given boundary exists is called Plateau's problem after the Belgian physicist Joseph Plateau who carried out experiments on soap films in the mid-nineteenth century.
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