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

The word ( spherical ), is the 12636 most frequently used in English word vocabulary

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  1. Cloud extends from the nucleus. However, this assumes the atom to exhibit a, spherical ,shape, which is only obeyed for atoms in vacuum or free space. Atomic radii may
  2. Of graphite),and fullerenes (where the carbon atoms are bonded together in, spherical , tubular, or ellipsoidal formations). The term allotropy is used for elements
  3. Proportional to the radius of the tip, given a projection directly onto a, spherical ,screen, the following equation can be obtained geometrically.: M = \franc. Where
  4. Phi) are the spherical harmonics. Thus, a particle whose wave function is the, spherical ,harmonic Y_ has an orbital angular momentum:: L = \sort with a z-component::
  5. Application in optics is to solve the problem," Given a light source and a, spherical ,mirror, find the point on the mirror where the light will be reflected to the
  6. Value, since ψ is a complex number). | ψ|2 orbital graphs tend to have less, spherical , thinner lobes than ψ graphs, but have the same number of lobes in the same
  7. M \rang where:: \Lang \theta, \phi | l, m \rang = Y_ (\theta, \phi) are the, spherical ,harmonics. Thus, a particle whose wave function is the spherical harmonic Y_
  8. Marine and soil habitats as well. Each actinophryid are unicellular and roughly, spherical ,in shape, without any shell or test, and with many pseudopodia supported by
  9. Field equations, which describes the gravitational field of a point mass and a, spherical ,mass. A few months after Schwarzschild, Johannes Wrote, a student of Hendrik
  10. Medium apertures than the secondary spectrum of par-axial rays; consequently, spherical ,aberration must be eliminated for two colors, and if this be impossible, then
  11. Stop to be reproduced in the centers of the entrance and exit pupils without, spherical ,aberration. M. on Ruhr showed that for systems fulfilling neither the Airy nor
  12. By him. He also made investigations into refraction, catoptrics, dioptrics, spherical ,mirrors, and magnifying lenses. Astrophysics In astrophysics and the celestial
  13. Common alternative coordinate systems include cylindrical coordinates and, spherical ,coordinates. Equations of curves In analytic geometry, any equation involving
  14. Constant, the universe could be an eternal static sphere. Einstein believed a, spherical ,static universe is philosophically preferred, because it would obey Mach's
  15. S mobility in the fluid. George Stokes had shown that the mobility for a, spherical ,particle with radius r is \mu 1/ (6\pi\eta r),where \eta is the dynamic
  16. Ancient and medieval view of the cosmos, including an explanation of how the, spherical ,earth influenced the changing length of daylight, of how the seasonal motion of
  17. The field may be approximated or obtained analytically. The magnification for a, spherical ,emitter is inversely proportional to the radius of the tip, given a projection
  18. Under an angle u2 in the axis point O'2. If there is refraction at a collective, spherical ,surface, or through a thin positive lens, O'2 will lie in front of O'1 so long
  19. Between the gravitational field of such a black hole and that of any other, spherical ,object of the same mass. The popular notion of a black hole" sucking in
  20. Since its accuracy does not generally suffice. In order to render, spherical ,aberration and the deviation from the sine condition small throughout the whole
  21. Operators usually occur when solving a problem with spherical symmetry in, spherical ,coordinates. Then, the angular momentum in space representation is::: L^2 =
  22. Analog computer capable of working out several kinds of problems in, spherical ,astronomy. An astrolabe incorporating a mechanical calendar computer and
  23. The shapes of atomic orbitals in one-electron atom are related to 3-dimensional, spherical , harmonics. These shapes are not unique, and any linear combination is valid
  24. Optical systems using mirrors) centered on spherical and parabolic mirrors and, spherical ,aberration. He made the observation that the ratio between the angle of
  25. With participants actually owning specific players. A ball is a round, usually, spherical , but sometimes ovoid, object with various uses. It is used in ball games, where
  26. A disk of confusion; this is similar to the confusion caused by two zones in, spherical ,aberration. For infinitely distant objects the radius Of the chromatic disk of
  27. Superior achromatic, and,subsequently, by many writers to denote freedom from, spherical ,aberration. Both the aberration of axis points, and the deviation from the sine
  28. Pole, and bisected by a line around the equator. Bipyramid faces, projected as, spherical ,triangles, represent the fundamental domains in the dihedral symmetry DNS.
  29. To humans, the word" ball" is used to refer to, or to describe, anything, spherical , or near- spherical . Etymology The first known use of the word ball in English in
  30. Molecule, which consists of 60 carbon atoms, very closely resembles a, spherical ,version of Fuller's geodesic dome. The 1996 Nobel Prize in chemistry was given
  31. The dummy warhead was destroyed by the impact of 18,000 tungsten-carbide, spherical ,impactors 140 seconds after launch, at an altitude of. The V-1000 missile
  32. Feature black holes without singularities. Photon sphere The photon sphere is a, spherical ,boundary of zero thickness such that photons moving along tangents to the
  33. Becomes sin u'1/h1 sin u'2/h2. A system fulfilling this condition and free from, spherical ,aberration is called Atlantic (Greek a-, privative, plann, a wandering).
  34. Spherical. For non-rotating (static) black holes the geometry is precisely, spherical , while for rotating black holes the sphere is somewhat oblate. Singularity At
  35. 1893,7,p. 221),cemented objectives of thin lenses permit the elimination of, spherical ,aberration on the axis, if,as above, the collective lens has a smaller
  36. Simplest cases of aberration will now be given. Aberration of axial points (, spherical ,aberration in the restricted sense) Let S (fig.5) be any optical system
  37. In cathartics (the study of optical systems using mirrors) centered on, spherical ,and parabolic mirrors and spherical aberration. He made the observation that
  38. Sometimes termed the atom’s“ electron cloud” ) tends toward a generally, spherical ,zone of probability describing where the atom’s electrons will be found.
  39. The existence of a point towards which all things fall in order to derive the, spherical ,shape.: In the second part, he calculates the equilibrium positions of sections
  40. Be neglected. The Gaussian theory is only an approximation; monochromatic or, spherical ,aberrations still occur, which will be different for different colors; and
  41. The shape of the event horizon of a black hole is always approximately, spherical , For non-rotating (static) black holes the geometry is precisely spherical
  42. It is this structure that gives the phylum its name. A further group of, spherical ,organelles are distributed throughout the cell rather than being localized at
  43. BC: daggers with metal hilt, flanged axes, halberds,pins with perforated, spherical ,heads, solid bracelets) and phases Hallstatt A and B (Ha A and B). South
  44. Also, the p+1 and p-1 are not the same shape as the p0,since they are pure, spherical ,harmonics. Understanding why atomic orbitals take these shapes The shapes of
  45. Of a lens it can be made chromatic or achromatic at will, without altering its, spherical ,effect. If its chromatic effect (DF/f) be greater than that of the same lens
  46. Sign. Of thin positive lenses with n=1.5,four are necessary to correct, spherical ,aberration of the third order. These systems, however,are not of great
  47. One-half. J is non-negative and MJ takes values between PJ and j. Relation to, spherical ,harmonics Angular momentum operators usually occur when solving a problem with
  48. Harmonics Angular momentum operators usually occur when solving a problem with, spherical ,symmetry in spherical coordinates. Then, the angular momentum in space
  49. Or skins, stuffed with various materials. As balls are one of the most familiar, spherical ,objects to humans, the word" ball" is used to refer to, or to describe
  50. Formulations. Most models for reconstruction assume that the tip is a, spherical ,object, and utilize empirical corrections to stereo graphic projection to

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