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

The word ( exponential ), is the 12008 most frequently used in English word vocabulary

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  1. S base-emitter junction can provide an usably-accurate logarithmic or, exponential ,function. Op amps scale the output voltage so that it is usable with the rest
  2. Exist, cannot be expressed in terms of elementary functions (like polynomials, exponential ,functions, logarithms,trigonometric functions, inverse trigonometric functions
  3. At a rate proportional to the current concentration, so that they exhibit, exponential ,decay with a characteristic half life (see pharmacokinetics). This is not true
  4. Been accurately confirmed by measurements of the CMB. If inflation occurred, exponential ,expansion would push large regions of space well beyond our observable horizon.
  5. Progress. Ray Surreal has used Moore's law (which describes the relentless, exponential ,improvement in digital technology) to calculate that desktop computers will
  6. Of the Pres burger statement. Hence, the problem is known to need more than, exponential ,run time. Even more difficult are the undecidable problems, such as the halting
  7. By the uniform convergence theorem. This theorem can be used to show that the, exponential ,functions, logarithms,square root function, trigonometric functions are
  8. And the anisotropic Kepler problem. Some authors have argued that extreme (, exponential ,) dependence on initial conditions is not expected in pure quantum treatments;
  9. Are easy. For example, some difficult problems need algorithms that take an, exponential ,amount of time in terms of the size of the problem to solve. Take the
  10. Of clauses and succeeds with high probability to correctly decide 3-Sat. The, exponential ,time hypothesis is that no algorithm can solve 3-Sat in time \exp (o (n) ).
  11. Constant). The sum of binomial coefficients can be bounded by a term, exponential ,in n and the binary entropy of the largest n/k that occurs. More precisely, for
  12. A. In category theory, currying can be found in the universal property of an, exponential ,object, which gives rise to the following ad junction in Cartesian closed
  13. Cosmological inflation or just inflation is the theorized extremely rapid, exponential ,expansion of the early universe by a factor of at least 1078 in volume, driven
  14. Frac\left (y \,-\,1\right) such that \script style f (x) \; =\; y. * The, exponential ,function, \script style g: \; \R \, \right arrow\, \R, \; g (x) \; \; ex, is
  15. Early period (before baryogenesis). During inflation, the Universe undergoes, exponential ,expansion, and the particle horizon expands much more rapidly than previously
  16. Real differentiable functions are not. Most elementary functions, including the, exponential ,function, the trigonometric functions, and all polynomial functions, are
  17. In this instance, as the file size n increases, memory will be consumed at an, exponential ,growth rate, which is order O (2n). Relevance Algorithm analysis is important
  18. Algorithm to find such a subset in polynomial time (there is one, however,in, exponential ,time, which consists of 2n-1 tries),and indeed such an algorithm cannot exist
  19. Other and with the functions of analysis, especially powers, roots,and the, exponential ,and log functions. Here are a few examples: Dirichlet convolutions: \sum_\mu (
  20. 1+\sqrt5)/2,the Golden ratio, which is irrational. * The values of the, exponential , sine and cosine functions, exp (x),sin (x),cos (x),are known to be
  21. Subjects in 61 cohorts demonstrated that blood total cholesterol levels have an, exponential ,effect on cardiovascular and total mortality, with the association more
  22. Linear programming, which works surprisingly well in practice; despite having, exponential ,worst-case time complexity it runs on par with the best known polynomial-time
  23. Primitive recursive function, including very fast-growing functions such as the, exponential ,function, the factorial function, multi- and super factorial functions, and even
  24. A table of subproblems already solved, dynamic programming reduces the, exponential ,nature of many problems to polynomial complexity. * The greedy method. A greedy
  25. Is symmetric, is:: \sum_ OK yen = \franc. Exponential generating function The, exponential ,bivariate generating function of the binomial coefficients is:: \sum_ \franc OK
  26. By the time hierarchy theorem, they cannot be solved in significantly less than, exponential ,time. Examples include finding a perfect strategy for chess (on an N×N board)
  27. Illuminant A) to 6504 (D65) is under 2 K. A more recent proposal, using, exponential , terms,considerably extends the applicable range by adding a second epicenter
  28. Power series may be defined in any unital Banach algebra; examples include the, exponential ,function and the trigonometric functions, and more generally any entire
  29. Has its own separate Boltzmann probability. So the probability distribution is, exponential ,: \, P (K) C ex C PKK. For large N, the normalization constant C is (1 − p).
  30. False vacuum would, according to general relativity, generate an, exponential ,expansion of space. It was very quickly realized that such an expansion would
  31. Conditions if points arbitrarily close together separate over time at an, exponential ,rate. The definition is not topological, but essentially metrical. If M is the
  32. Part of the second object. ) In this regard, binomial coefficients are to, exponential ,generating series what falling factorials are to ordinary generating series.
  33. Points closer in are always steadily replacing points further out—an, exponential ,expansion of space–time. This steady-state exponential ly expanding spacetime is
  34. And strategy). Puzzle Bobble caters to this interest very well, featuring an, exponential ,scoring system which allows extremely high scores to be achieved. " Popped "
  35. Of hard problems in NP. For example, it is possible that SAT requires, exponential ,time in the worst case, but that almost all randomly selected instances of it
  36. All of these define the relative numbers of particles in a system as decreasing, exponential ,functions of energy (at the particle level) over kt, with k representing the
  37. Algorithms complete in linear time relative to input size, some do so in an, exponential ,amount of time or even worse, and some never halt. Additionally, some problems
  38. Functions, and more generally any entire function. (In particular,the, exponential ,map can be used to define abstract index groups. ) The formula for the
  39. This formula could be used to reduce any trigonometric identity to much simpler, exponential ,identities. The idea of a complex number as a point in the complex plane (
  40. Of convergence is used to construct a number of elementary functions: the, exponential ,function exp (z),also written EZ, is defined as the infinite series: \exp (
  41. To have energy greater than or equal to E at the given temperature T. This, exponential ,dependence of a reaction rate on temperature is known as the Arrhenius equation
  42. From it — in his Photometric in 1760. Much later, August Beer extended the, exponential ,absorption law in 1852 to include the concentration of solutions in the
  43. Of constraints. Other much smaller problems exhibit run-times that are, exponential ,in the problem size, and rapidly become impractical. Unfortunately, there is no
  44. Algorithm (“ DOLL” or“ DLL” ). Theoretically, exponential ,lower bounds have been proved for the DPLL family of algorithms. Modern SAT
  45. Horizon and perhaps solve the horizon problem, and NATO suggesting that an, exponential ,expansion could eliminate domain walls (another kind of exotic relic. ) In
  46. Relations of EYE or erotic exchange of power. A new subgenre: BDSM romance The, exponential ,increase in the BDSM community in the last 10 years has led to the emergence of
  47. Product \script style f \colon (X \times Y) \to Z and the morphisms to an, exponential ,object \script style g \colon X \to BY. In other words, currying is the
  48. The complex function's dynamic transformation of the complex plane. Complex, exponential ,and related functions The notions of convergent series and continuous functions
  49. Expanding designer phase. In October 1980 Demosthenes Kazan as suggested that, exponential ,expansion could eliminate the particle horizon and perhaps solve the horizon
  50. Botswana, and as a result, financial and services sectors have increased at an, exponential ,rate in the 2000s to replace mining as the leading industry. Botswana abolished

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