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Examples of the the word, curvature , in a Sentence Context

The word ( curvature ), is the 16724 most frequently used in English word vocabulary

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  1. Much greater than the contribution of matter. But as the universe expands,the, curvature ,redshifts away more slowly than matter and radiation. Extrapolated into the
  2. Ds and by differentiation: c = \rho \cos \var phi where ρ is the radius of, curvature , The solution to this is: y = c \LN \sec \franc. In this case, the curve has
  3. Condition and coma here fall together in one class; (3) astigmatism; (4), curvature , of the field; (5) distortion.: (1) Aberration of the third order of axis
  4. Necessarily possesses a certain minimum width. This width is given by the, curvature ,of the magnetic trapping potential in the given direction. More tightly
  5. Deadbolt – Decant – Castle – Decorated Period – Deep plan – Degree of, curvature ,– Denton Corker Marshall – Diagram – Diaphragm arch – Digital morphogenesis -
  6. Differentiation gives: w T_0 \franc\franc \franc. In terms of φ and the radius of, curvature ,ρ this becomes: w= \franc. Suspension bridge curve A similar analysis can be
  7. To reach the necessary precision and to avoid non-monotonic local changes of, curvature , The" smooth curve" feature of charts in Microsoft Excel also use this
  8. Monopole problems alternative to cosmic inflation is offered by the Was, curvature ,hypothesis. Baryon asymmetry It is not yet understood why the Universe has more
  9. Field normal. The resultant deflection means that in these regions of high, curvature , atomic terraces are belied by a strong anisotropy in the detection density.
  10. Are not actually true optical aberrations, as they do not represent or model, curvature ,in the wavefront. If an otherwise perfect wavefront is" serrated" by piston
  11. That the surface of rotating water is curved. However, the explanation of this, curvature ,involves centrifugal force for all observers except a truly
  12. Sphere is more difficult: because the surface of a sphere has nonzero Gaussian, curvature , it cannot be flattened out. The formula for the surface area of a sphere was
  13. Physical signatures. The angular scale of the first peak determines the, curvature ,of the universe (but not the topology of the universe). The next peak—ratio
  14. Determined entirely by measuring angles and distances on the surface. That is, curvature ,does not depend on how the surface might be embedded in 3-dimensional space or
  15. Function. The Whewell equation for the catenary is: \kappa=\franc. The radius of, curvature ,is then: \rho = a \sec^2 \var phi which is the length of the line normal to the
  16. Of different regions are so nearly equal, and it predicts that the total, curvature ,of a space-slice at constant global time is zero. This prediction means that
  17. Has the important effect of smoothing out inhomogeneities, anisotropies and the, curvature ,of space. This pushes the universe into a very simple state, in which it is
  18. Terms) in a magazine advertisement to anyone who could demonstrate a convex, curvature ,in a body of water such as a river, canal,or lake. Wallace, intrigued by the
  19. Terrace, surrounded by a long bench in the form of a sea serpent. To design the, curvature ,of the bench surface Saudi used the shape of buttocks left by a naked workman
  20. 9,1),etc. are semiconducting. However, this rule has exceptions, because, curvature , effects in small diameter carbon nanotubes can strongly influence electrical
  21. Frets that constitute the top of the neck. It is flat or slightly curved. The, curvature ,of the fretboard is measured by the fretboard radius, which is the radius of a
  22. Field is roughly constant. However, the energy density in inhomogeneities, curvature , anisotropies and exotic particles is falling, and through sufficient inflation
  23. This presents a mystery: how did these new regions know what temperature and, curvature ,they were supposed to have? They couldn't have learned it by getting signals
  24. Property of the notion of curvature . Informally, the theorem says that the, curvature ,of a surface can be determined entirely by measuring angles and distances on
  25. Vector to the particle's trajectory, and R is its instantaneous radius of, curvature ,based upon the osculating circle at time t. These components are called the
  26. Index; on the other hand, they permit the elimination of astigmatism and, curvature ,of the field, if the collective lens has a greater refractive index (this
  27. Temperature as the background radiation of other regions, and their space-time, curvature ,is evolving lock-step with ours. This presents a mystery: how did these new
  28. Depends solely upon the principal rays; and is independent of the sharpness or, curvature ,of the image field. Referring to fig. 8,we have O'Q'/OF a' tan w'/a tan w 1/N
  29. For the errors depending upon the angle of the field of view, w: astigmatism, curvature ,of field and distortion are eliminated for a definite value, w*, zones of
  30. 2) Wide angle lens; necessary corrections are — for astigmatism, curvature ,of field and distortion; errors of the aperture only slightly regarded;
  31. Therefore, regardless of the shape of the universe the contribution of spatial, curvature ,to the expansion of the universe could not be much greater than the
  32. Of a free particle gliding frictionlessly on a surface of constant negative, curvature , In the system studied," Hadamard's billiards ", Hadamard was able to show
  33. Relativity lies a gravitational singularity, a region where the spacetime, curvature ,becomes infinite. For a non-rotating black hole this region takes the shape of
  34. By a parabola, correctly observing that this approximation improves as the, curvature ,gets smaller and is almost exact when the elevation is less than 45o. That the
  35. Inflation, and so they are necessarily at nearly the same temperature and, curvature , because they come from the same little patch of space. In the local point of
  36. As eccentrically loaded. The eccentricity of the load, or an initial, curvature , subjects the column to immediate bending. The increased stresses due to the
  37. All observers except a truly stationary observer, who finds the, curvature ,is consistent with the rate of rotation of the water as they observe it, with
  38. Into the past, this presents a fine-tuning problem because the contribution of, curvature ,to the universe must be exponentially small (sixteen orders of magnitude less
  39. During the inflationary period, spacetime expanded to such an extent that its, curvature ,would have been smoothed out. Thus, it is theorized that inflation drove the
  40. And distortion are eliminated for a definite value, w*, zones of astigmatism, curvature ,of field and distortion, attend smaller values of w. The practical optician
  41. The vehicle would have three axles and the outer two could pivot to adapt to, curvature ,of the track. The pivoting was controlled by levers attached to the third (
  42. Theorem in Latin),establishing an important property of the notion of, curvature , Informally, the theorem says that the curvature of a surface can be determined
  43. Placed from the diaphragm in the ratio of their size, and presenting the same, curvature ,to it (hemisymmetrical objectives); in these systems tan w' / tan w 1. The
  44. Through the telescope, one object appeared higher than the other, showing the, curvature ,of the earth. The judge for the wager, the editor of Field magazine, declared
  45. Which can be quantized. In particular, the symplectic form should be the, curvature ,form of a connection of a Hermitian line bundle, which is called a
  46. Curves and surfaces. Among other things he came up with the notion of Gaussian, curvature , This led in 1828 to an important theorem, the Theorem Egregious (remarkable
  47. Image obtained with a wide aperture—there remains the necessity to correct the, curvature ,of the image surface, especially when the image is to be received upon a plane
  48. Action. The solution to Einstein's equations in the presence of, curvature ,squared terms, when the curvature s are large, can lead to an effective
  49. Its fundamental pitch. Shortening a string stiffens it by increasing its, curvature ,during a distortion and subjecting it to larger net forces. Shortening the
  50. Continuity of position),G1 (continuity of tangency),and G2 (continuity of, curvature ,). Every continuous function: f: a, b \right arrow \math bf R is integrable (for

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