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

The word ( dimensional ), is the 11219 most frequently used in English word vocabulary

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  1. Of features in unrelated groups is common. The only groups to exhibit three, dimensional ,multicellular phalli are the reds and browns, and some chlorophytes. Apical
  2. Cube. It is a special case of the hypercube graph. An extension is the three, dimensional ,Mary Hamming graph, which for k = 2 is the cube graph. Graphs of this sort
  3. Been derived. The notation ∇×F has its origins in the similarities to the 3, dimensional , cross product, and it is useful as a mnemonic in Cartesian coordinates if we
  4. Is identified as the second term. Extension of this approach to three, dimensional ,space curves leads to the Frenet-Serret formulas. Alternative approach Looking
  5. k)= ex. When the integral is evaluated with the factors of KB and restored by, dimensional ,analysis, it gives the critical temperature formula of the preceding section.
  6. A vector field again a vector field. This is a similar phenomenon as in the 3, dimensional , cross product, and the connection is reflected in the notation ∇× for the curl.
  7. Non-linear and hard to model. In specific circumstances they may exhibit low, dimensional ,behavior. Complexity in data In information theory, algorithmic information
  8. Operators admit a characterization similar to Wedderburn's theorem for finite, dimensional ,C Theorem. If A is a C*-subalgebra of K (H),then there exists Hilbert spaces
  9. Generalization of finite dimensional C*-algebras are the approximately finite, dimensional ,C The prototypical example of a C*-algebra is the algebra B (H) of bounded
  10. Viginti duo bus elements conics' of 1522. The second book moves onto two, dimensional ,geometry,i.e. the construction of regular polygons. Here Durer favors the
  11. Fixed point. The generalizations of the Brouwer fixed point theorem to infinite, dimensional ,spaces therefore all include a compactness assumption of some sort, and in
  12. Compactness of subspaces of the real numbers, or more generally of finite, dimensional ,Euclidean spaces, as those subsets that are both closed and bounded. Apart from
  13. The Bohr atom number n for each orbital became known as an n-sphere in a three, dimensional ,atom and was pictured as the mean energy of the probability cloud of the
  14. Of traditional animation, an attempt to make the animation look like a three, dimensional ,version of a cartoon, still using and perfecting the main principles of
  15. Let D be the total derivative operator. If an is a point in Rn, then the higher, dimensional ,chain rule says that:: D_ (f \CIRC g) = D_f \CIRC D_g, or for short, : D (f
  16. To Tetris, entitled Ellis, which has the same principle but in a three, dimensional ,environment where you see the" board" from above. Tetris was licensed and
  17. Ion sequence data, as obtained from a position sensitive detector, to a three, dimensional ,visualization of atomic types, is termed" reconstruction ". Reconstruction
  18. The computer uses math to calculate how to project this image, defined by three, dimensional ,data, onto a two- dimensional computer screen. First we must also define where
  19. Two reactive end groups and monomers with more than two end groups give three, dimensional ,polymers which are cross linked. Dehydration synthesis often involves joining
  20. Pseudoephedrine is chemically distinct from ephedrine with only the three, dimensional ,configuration in space, as notated by the Can–In gold–PROLOG rules. Relative
  21. Referred to as keys or buttons). ** Mouse - a pointing device that detects two, dimensional ,motion relative to its supporting surface. *** Optical Mouse - uses light to
  22. Of models Continuum mechanics models begin by assigning a region in three, dimensional ,Euclidean space to the material body \mathcal B being modeled. The points
  23. Jones and the Kingdom of the Crystal Skull (2008) introduces thirteen" extra, dimensional ,beings" with crystal skeletons, who founded a city that became the basis of
  24. Beams. Mechanical applications Because of its stiffness, light weight and, dimensional ,stability over a wide temperature range, beryllium metal is used for
  25. Most frequently, sophisticated mathematics is used to manipulate complex three, dimensional ,polygons, apply “ textures ”, lighting and other effects to the polygons and
  26. An anticlockwise rotation of 360° − 45° (that is, an angle of 315°). In three, dimensional ,geometry," clockwise" and" anticlockwise" have no absolute meaning, so the
  27. Need at least 3 colors. The cube is the cell of the only regular tiling of 3, dimensional , Euclidean space. It is also unique among the Platonic solids in having faces
  28. By differential equations) if it has three or more dimensions. Finite, dimensional ,linear systems are never chaotic; for a dynamical system to display chaotic
  29. The positive cone of the K0 group of A. An immediate generalization of finite, dimensional ,C*-algebras are the approximately finite dimensional C The prototypical
  30. The connection to the ships, the place of emergence of the ancestors or a, dimensional ,doorway. During their journey from the ships to the world of the living, the
  31. Major repercussions for the film industry. For the moment it looks like three, dimensional ,computer animation can be divided into two main directions; photorealistic and
  32. By other means (e.g. TEM) owing to the difficulty in generating a three, dimensional ,dataset with composition. Semiconductors Semi-conductor materials are often
  33. Fields have the same units,4\pi\epsilon_0 is replaced by 1,and the only, dimensional ,constant appearing in the equations is c, the speed of light. The
  34. Operations, or extra buttons or features that can add more control or, dimensional ,input. The mouse's motion typically translates into the motion of a cursor on
  35. Showed that, at least for dissipative and conservative quadratic systems, three, dimensional , quadratic systems with only three or four terms on the right-hand side cannot
  36. Developed at Bell Laboratories in 1969. Development of the Radio drum, a three, dimensional ,electronic instrument. In 1988,TAT-8 became the first fiber optic
  37. How to project this image, defined by three- dimensional data, onto a two, dimensional ,computer screen. First we must also define where our view point is, that is
  38. Or infinite- dimensional . The Poincaré–Bendix son theorem states that a two, dimensional ,differential equation has very regular behavior. The Lorenz attractor discussed
  39. Showing that the cohomology of a coherent sheaf on a complete variety is finite, dimensional ,; Grothendieck's theorem shows that the higher direct images of coherent
  40. Finite direct sums of matrix algebras. In fact, all C*-algebras that are finite, dimensional ,as vector spaces are of this form, up to isomorphism. The self-adjoint
  41. Electron-density maps to determine the direction of the protein backbone. 2D (, dimensional ,) diagrams for representing alpha-helices Two different kinds of 2D diagrams
  42. Length changes in the same proportion, so the ratio s/r is unaltered. Units In, dimensional ,analysis, angles are considered to be dimensionless. There are several units
  43. Through the material itself. Computer methods are utilized to rebuild a three, dimensional ,view of the sample, prior to it being evaporated, providing atomic scale
  44. Reason is, simply put, that solutions to such systems are asymptotic to a two, dimensional ,surface and therefore solutions are well-behaved. While the Poincaré–Bendix son
  45. Calculators can be used to graph functions defined on the real line, or higher, dimensional ,Euclidean space. In 1986,calculators still represented an estimated 41 % of
  46. Geometry). * Differentiation can also be defined for maps between infinite, dimensional ,vector spaces such as Banach spaces and Freshet spaces. There is a
  47. Mechanism of retention on this new solid support is different from the first, dimensional ,separation, it can be possible to separate compounds that are indistinguishable
  48. Hand side, only one of which is (quadratic) nonlinear. Sprout found a three, dimensional ,system with just five terms on the right-hand side, and with just one quadratic
  49. And the derivative of g. This theorem is an immediate consequence of the higher, dimensional ,chain rule given above, and it has exactly the same formula. The chain rule is
  50. The cosmological constant to allow a static solution which was a three, dimensional ,sphere with a uniform density of matter. A little later, Willem de Sitter found

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