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

The word ( mathematically ), is the 14063 most frequently used in English word vocabulary

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  1. Natural regulator. There are a variety of bulk effects in solid state physics, mathematically ,very similar to the Casimir effect, where the cutoff frequency comes into
  2. Locally in extendible as a regular Lorentzian manifold. The two conjectures are, mathematically ,independent, as there exist spacetime for which the weak cosmic censorship is
  3. Positive consequences that would follow from rendering tractable many currently, mathematically ,intractable problems. For instance, many problems in operations research are
  4. Mass will deform spacetime to form a black hole. Around a black hole there is a, mathematically ,defined surface called an event horizon that marks the point of no return. It
  5. About Zorn's lemma? " — Jerry Bond: This is a joke: although the three are all, mathematically ,equivalent, many mathematicians find the axiom of choice to be intuitive, the
  6. Has a U-like shape, superficially similar in appearance to a parabola (though, mathematically ,quite different). Its surface of revolution, the adenoid, is a minimal
  7. Model was graphically expanded upon by Benoit Paul Émile Clapeyron in 1834 and, mathematically ,elaborated upon by Rudolf Clausius in the 1850s and 60s from which the concept
  8. Such simplifying assumptions were once necessary for the construction of, mathematically ,robust models. However, signalling theory and agency theory extended the
  9. To (the green store) )). A context-free grammar provides a simple and, mathematically ,precise mechanism for describing the methods by which phrases in some natural
  10. Deformation through constitutive equations. The internal contact forces may be, mathematically ,described by how they relate to the motion of the body, independent of the body
  11. One hypothesis is that dark energy is the energy of virtual particles (which, mathematically ,must exist in vacuum due to the uncertainty principle). There is no
  12. Of aberrations Circular wavefront profiles associated with aberrations may be, mathematically ,modeled using Bernie polynomials. Developed by Fruits Bernie in the 1930s
  13. Along the fingerboard and placed at points that divide the length of string, mathematically , The strings' vibrating length is determined when the strings are pressed down
  14. Business, medicine,demography, and in other fields wherever a problem can be, mathematically ,modeled and an optimal solution is desired. It allows one to go from (
  15. RJ is the magnitude of the velocity (the speed). These equations express, mathematically ,that, in the case of an object that moves along a circular path with a changing
  16. These vectors are parallel. ) So requiring the system to be" closed" here is, mathematically ,equivalent to zero external torque acting on the system:: \math bf_ \math rm
  17. A particle. A consequence of describing electrons as waveforms is that it is, mathematically ,impossible to simultaneously derive the position and momentum of an electron;
  18. Momentum In a closed system angular momentum is constant. This conservation law, mathematically ,follows from continuous directional symmetry of space (no direction in space
  19. In fact, in many competitions, a team is required to concede when it is, mathematically ,impossible for them to tie a game. In more social situations, it is often
  20. See Course d'analyze, page 34). Non-standard analysis is a way of making this, mathematically ,rigorous. The real line is augmented by the addition of infinite and
  21. Techniques in HR-CS AAS In HR-CS AAS background correction is carried out, mathematically ,in the software using information from detector pixels that are not used for
  22. Over the NL East. On September 24,the Braves' loss to the Colorado Rockies, mathematically ,eliminated the Braves from winning the NL Wild Card, making 2006 the first year
  23. Which he discussed finding the Bible, where Salah prayers are directed towards, mathematically , His pioneering work on number theory, analytic geometry, and the link between
  24. Of the handsets, and require a somewhat different approach. Since it is not, mathematically ,possible to create signature sequences that are both orthogonal for arbitrarily
  25. Antennas because of the compression of the percent bandwidth that occurs, mathematically ,with percent bandwidths above 100 %, which corresponds to a fractional
  26. Truly behaves like the series of differential equations used to represent it, mathematically , Typically, a simpler mathematical model is chosen in order to simplify
  27. It is possible to study algorithms for neural computation by simulating, or, mathematically , analyzing,the operations of simplified" units" that have some of the
  28. To hold for the colorimetric material being used, and the propositions are, mathematically ,written: The thermal response of the colorimetric material is fully described
  29. How the first two laws of thermodynamics could be measured graphically and, mathematically ,to determine both the thermodynamic equilibrium of chemical reactions as well
  30. Tools can enable critical algorithms and code used in secure systems to be, mathematically ,proven to meet their specifications. * Capability and access control list
  31. Line of research began with Werner Heisenberg's matrix mechanics and in a more, mathematically ,developed form with Pascal Jordan around 1933. Subsequently, John von Neumann
  32. Tiny magnetic fields. Computational modeling Computational models require a, mathematically ,and logically formal representation of a problem. Computer models are used in
  33. Sometimes the results of an election are such that the coalitions which are, mathematically ,most probable are ideologically infeasible, such as in Flanders or Northern
  34. Systems. Hybrid computers are used to obtain a very accurate but not very, mathematically ,precise 'seed' value, using an analog computer front-end, which value is then
  35. Show the same or similar values every time. Unlike other systems, this one is, mathematically ,plausible, because if it were possible to alter the probabilities of each
  36. With no" holes" or" jumps ". There are several ways to make this intuition, mathematically ,rigorous. These definitions are equivalent to one another, so the most
  37. DG)_ = \sum_i \mu_i DN_i\, Chemical affinity While this formulation is, mathematically ,defensible, it is not particularly transparent since one does not simply add or
  38. Linear Systems control For MIMO systems, pole placement can be performed, mathematically ,using a state space representation of the open-loop system and calculating a
  39. Trees are self-balancing binary search trees, so they are very similar, mathematically , The operations to balance the trees are different, but both occur in O (log n
  40. Tracking to the public. His book, The Shuffle Tracker's Cookbook, mathematically ,analyzed the player edge available from shuffle tracking based on the actual
  41. Can be computed on a Turing machine. Since Turing machines are easy to analyze, mathematically , and are believed to be as powerful as any other model of computation, the
  42. However, on September 18,the New York Mets' win over the Florida Marlins, mathematically ,eliminated the Braves from winning the NL East, ending the Atlanta Braves
  43. Phenomena that Bohr's model failed to explain. Although this concept was, mathematically ,convenient, it was difficult to visualize, and faced opposition. One of its
  44. Their bonding models on that of Abegg's rule (1904). In 1927,the first, mathematically ,complete quantum description of a simple chemical bond,i.e. that produced by
  45. Only in this thin layer. This principle makes aerodynamics much more tractable, mathematically , Turbulence In aerodynamics, turbulence is characterized by chaotic, stochastic
  46. Or explicitly. In quantum mechanics the expression \angle\phi|\psi\range (, mathematically ,: the coefficient for the projection of \psi\! Onto \phi\! ) is typically
  47. Operate directly on the electrical signal, while digital processors operate, mathematically ,on the digital representation of that signal. History Audio processing was
  48. They are abstract. Biologists cannot say that a process or phenomenon, by being, mathematically ,possible, have to exist forcibly in the real nature. For biologists, the ground
  49. Alphabet is obtained by concatenating the encoded strings. Before giving a, mathematically ,precise definition, we give a brief example. The mapping: C = \ is a code
  50. Rewrite the expression for OPS using a common denominator. This expression is, mathematically ,identical to the simple sum of GBP and SLG: OPS = \franc Interpretation of OPS

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