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

The word ( pi ), is the 16213 most frequently used in English word vocabulary

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  1. It is used to describe any cyclic pi system in some publications, or only those, pi ,systems that obey Hückel's rule on others. Jensen argues that in line with
  2. Wang Fan, a mathematician and astronomer from Eastern Wu, would render, pi ,as 3.1555 by using 142⁄45. Liu Hui also wrote of mathematical surveying to
  3. A bond strength of 839 kJ/MOL. The sigma bond contributes 369 kJ/MOL, the first, pi ,bond contributes 268 kJ/MOL and the second pi -bond of 202 kJ/MOL bond strength.
  4. Molecule. The majority of the reactions of alkenes involve the rupture of this, pi ,bond, forming new single bonds. Alkenes serve as a feedstock for the
  5. Of approximately 3.1416. He also proved that the area of a circle was equal to, pi ,multiplied by the square of the radius of the circle. In On the Sphere and
  6. Summations or products may similarly be denoted using ca pi tal sigma and ca pi tal, pi ,notation, respectively: :1+2+3+\dots+100\ = \sum_^ n :1 \times 2 \times 3
  7. By later Chinese such as EU Changsha (429-500 AD). Zhang Hung approximated, pi ,as 730/232 (or approx 3.1466),although he used another formula of pi in
  8. Cantor space; the set Si contains all sequences in cantor space that begin with, pi , These sets are disjoint because P is a prefix-free set. The sum: \sum_ 2^
  9. F consists of an infinite set of binary strings: P = \. Each of these strings, pi ,determines a subset Si of Cantor space; the set Si contains all sequences in
  10. OperatornameX = x_1p_1 + x_2p_2 + \lots + x_KP_k \;. Since all probabilities, pi ,add up to one: p1 + p2 + ... + pk = 1,the expected value can be viewed as the
  11. Calculi are propositional calculus, variational calculus, lambda calculus, pi ,calculus, and join calculus. History Ancient The ancient period introduced some
  12. Greater than and less than. The latter figure was used as an approximation of, pi ,throughout the Middle Ages and is still used today when only a rough figure is
  13. Within most organic compounds are described as covalent. See sigma bonds and, pi ,bonds for LCAO-description of such bonding. A polar covalent bond is a covalent
  14. Is broken. *A cation– pi interaction occurs between the electron density of, pi ,bonds above and below an aromatic ring and a cation. Summary: electrons in
  15. Of an infinite series, and gave a remarkably accurate approximation of, pi , He also defined the s pi ral bearing his name, formulae for the volumes of
  16. Distribution of molecules with abnormally high electron density, like the, pi ,system of benzene. This abnormal electron density affects the applied magnetic
  17. As the method of exhaustion, and he employed it to approximate the value of, pi , He did this by drawing a larger polygon outside a circle and a smaller polygon
  18. On which are placed weights, at locations xi along the rod and having masses, pi ,(whose sum is one). The point at which the rod balances is EX. Expected
  19. Formulas to solve mathematical problems. Although rough estimates for, pi ,(π) were given in the Zhou Li (com pi led in the 2nd century BC),it was
  20. Discrete random variable, then it attains values x1,x2,... with probability, pi ,= P (xi),and the CDF of X will be discontinuous at the points xi and
  21. Enough digits to be sure we get the correct approximation. Double, pi ,= 3.1415926535897932384626433832795; double z = tan ( pi /2.0); will give a
  22. Force acts indirectly, transmitted as gluons which form part of the virtual, pi ,and rho mesons which classically transmit the nuclear force (see this to pi c
  23. Functions listed in this article are given in terms of n and the corresponding, pi , AI, ω,and Ω. Multiplicative functions OK (n),τ (n),d (n) - divisor
  24. G with the operation of componentwise multiplication; and corresponding to the, pi ,in the definition above are the projection maps: \ pi _i \colon G \to G_i\quad
  25. Of Canon of Amos. In Proposition II, Archimedes shows that the value of, pi ,() is greater than and less than. The latter figure was used as an
  26. Sigma bond),a carbon-carbon double bond consists of one sigma bond and one, pi ,bond. This double bond is stronger than a single covalent bond (611 kJ/MOL for
  27. And bonding Geometry The central carbon of Allen forms two sigma bonds and two, pi ,bonds. The central carbon is hybridized, and the two terminal carbons are
  28. The probability that two randomly chosen integers are cop rime is 6/π2 (see, pi ,), which is about 61 %. See below. Two natural numbers a and b are cop rime if
  29. As well as measurements of heights and distances. The editor Liu Hui listed, pi ,as 3.141014 by using a 192 sided polygon, and then calculated pi as 3.14159
  30. Β to mean" the second half of an Atlas memory word "; π for the mathematical, pi ,number. When AA was ported to the English Electric KDF9 computer, the character
  31. The P-array and S-boxes with values derived from the hexadecimal digits of, pi , which contain no obvious pattern (see nothing up my sleeve number). The
  32. The proper use of the symbol is debated, it is used to describe any cyclic, pi ,system in some publications, or only those pi systems that obey Hückel's rule
  33. The first to make a concerted effort at creating a more accurate formula for, pi , This in turn would be made more accurate by later Chinese such as EU Changsha
  34. Category, given a collection of objects Ai and a collection of morphisms, pi ,from A to Ai with I ranging in some index set I, an object A is said to be a
  35. This' > asbestos/quests. **Words ending in a stressed vowel often take -NS:, pi ,' pi ne' > pi ns, cinturó 'belt' > centurions (but equip 'ski' > equip, tabú
  36. Hybridization). The fused ring system therefore contains a total of ten, pi ,electrons and hence according to Hückel's rule is aromatic. Caffeine is
  37. Two-electron bonds also have been postulated. In certain conjugated π (, pi ,) systems, such as benzene and other aromatic compounds (see below),and in
  38. Anisotro pi c properties. These may have their own names, such as sigma bond and, pi ,bond. In the general case, atoms form bonds that are intermediates between
  39. Bond. Each p orbital on one atom overlaps one on the other atom, forming two, pi ,bonds, giving a total of three bonds. The remaining SP orbital on each atom can
  40. Beef noodle. JPG|Beef noodle served Image:5658-Linxia-City-niang- pi . JPG|Ni ang, pi ,(酿皮),a popular noodle-and-tofu cold dish in India Cantonese cuisine comes
  41. X is a discrete random variable with values xi and corresponding probabilities, pi , Now consider a weightless rod on which are placed weights, at locations xi
  42. Of circumference The ratio of a circle's circumference to its diameter is (, pi ,), an irrational constant approximately equal to 3.141592654. Thus, the length
  43. Of s as p1···pm and q 1···in, such that s p1p2···pm q1q2···in. No, pi ,(with 1 ≤ i ≤ m) can be equal to any QC (with 1 ≤ j ≤ n),as there would
  44. Each, he calculated the lengths of their sides and showed that the value of, pi ,lay between 3 (approximately 3.1429) and 3 (approximately 3.1408)
  45. The other notable approximation. In comparison to later works, the formula for, pi ,given by the French mathematician Francisco Vista (1540-1603) fell halfway
  46. Coordinated to the atom. There are also organic ligands such as alkenes whose, pi ,bonds can coordinate to empty metal orbitals. An example is ethane in the
  47. Liu Hui listed pi as 3.141014 by using a 192 sided polygon, and then calculated, pi ,as 3.14159 using a 3072 sided polygon. This was more accurate than Liu Hui's
  48. Fi from B to Ai, there exists a unique morphism f from B to A such that phi =, pi ,f and this object A is unique. This not only works for two factors, but
  49. Pi as 730/232 (or approx 3.1466),although he used another formula of, pi ,in finding a spherical volume, using the square root of 10 (or approx 3.162)
  50. Of the highest power of the prime p that divides n. I.e. if p is one of the, pi ,then up (n) = ai, otherwise it is zero. Then: n=\prod_p PA. In terms of the

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