), and maternal granddaughter of Ignacio Mariscal y ... ( 5 July 1829, Oaxaca, Mexico – 17 April 1910, Mexico City ) and wife ..., and had issue:

For example, the graph contains the points ( 1, 1 ), ( 2, 0. 5 ), ( 5, 0. 2 ), ( 10, 0. 1 ), ... As the values of x become larger and larger, say 100, 1000, 10, 000 ..., putting them far to the right of the illustration, the corresponding values of y,. 01,. 001,. 0001, ..., become infinitesimal relative to the scale shown.

Taking m to be 2 gives the square pyramidal numbers 0, 1, 5, 14, ....

This is because we arrange things such that for every integer, there is a distinct odd integer: ... − 2 → − 3, − 1 → − 1, 0 → 1, 1 → 3, 2 → 5, ...; or, more generally, n → 2n + 1.

Also in Roman times, some Essenes settled on the Dead Sea's western shore ; Pliny the Elder identifies their location with the words, " on the west side of the Dead Sea, away from the coast ... the town of Engeda " ( Natural History, Bk 5. 73 ); and it is therefore a hugely popular but contested hypothesis today, that same Essenes are identical with the settlers at Qumran and that " the Dead Sea Scrolls " discovered during the 20th century in the nearby caves had been their own library.

* 1958: Westinghouse Desilu Playhouse .... Ricky Ricardo / ... ( 5 episodes, 1958 – 1960 )

They are intimately connected with the golden ratio, for example the closest rational approximations to the ratio are 2 / 1, 3 / 2, 5 / 3, 8 / 5, ....

The author wrote the epistle so that the joy of his audience would " be full " ( 1. 4 ) and that they would " not practice sin " ( 2. 1 ) and that " you who believe in the name of the Son of God ... may know that you have eternal life " ( 5. 13 ).

Hence the meter is 12 1 2 3 4 5 6 7 8 9 10 11 ...

Section 5 states that " the Governor-General may appoint such times for holding the sessions of the Parliament ... prorogue the Parliament dissolve the House of Representatives.

" On May 5, 1792, Madison told Washington, " with respect to the spirit of party that was taking place ... I was sensible of its existence ".

It occurred when, while on a river, they heard a loud splash and saw what Greenwell described as " large wake ( about 5 ") ... originating from the east bank ".

The numerals used when writing numbers with digits or symbols can be divided into two types that might be called the arithmetic numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and the geometric numerals 1, 10, 100, 1000, 10000 ... respectively.

), Agatha Christie and archaeolog ( London, The British Museum Press, 2001 )-Nineveh 5, Vessel Pottery 2900 BC ...

* In ELP2000 – 85 ( see Chapront et alii 1988 ), D has a quadratic term of − 5. 8681 " T < sup > 2 </ sup >; expressed in lunations N, this yields a correction of + 87. 403N < sup > 2 </ sup > delay is − (− 5. 8681 ") / ( 60 × 60 × 360 "/ circle ) / ( 36525 / 29. 530 ... lunations per Julian century )< sup > 2 </ sup > × ( 29. 530 ... days / lunation ) days </ ref > days to the time of conjunction.

e. g. for temperature 2. 7K it is 40 fJ / m < sup > 3 </ sup > ... 4. 5 × 10 < sup >− 31 </ sup > kg / m < sup > 3 </ sup > and for visible 6000K we get 1 J / m < sup > 3 </ sup > ... 1. 1 × 10 < sup >− 17 </ sup > kg / m < sup > 3 </ sup >.

Yitzhak Rabin said in a speech to the Knesset on 5 October 1995, at the time of the ratification of the Oslo II Interim Agreement: " The Palestinian Authority has not up until now honoured its commitment to change the Palestinian Covenant ...

Hearings ... Ninety-first Congress, Second Session on S. 30, and Related Proposals, Relating to the Control of Organized Crime in the U. S. May 20, 21, 27 ; June 10, 11, 17 ; July 23, and Aug. 5, 1970.

' sequence_number ', ( 5 ) ... 00 00 00 05

One such example occurs in the position at right, which arises from the Ruy Lopez: 1. e4 e5 2. Nf3 Nc6 3. Bb5 a6 4. Ba4 Nf6 5. 0-0 b5 6. Bb3 Be7?!

1. e4 c5 2. Nf3 d6 3. Bb5 + Bd7 4. Bxd7 + Qxd7 5. c4 Nc6 6. Nc3 Nf6 7. 0-0 g6 8. d4 cxd4 9. Nxd4 Bg7 10. Nde2 Qe6 ( a novelty suggested by Irina Krush and considered a turning point for the World Team ) 11. Nd5 Qxe4 12. Nc7 + Kd7 13. Nxa8 Qxc4 14. Nb6 + axb6 15. Nc3 Ra8 16. a4 Ne4 17. Nxe4 Qxe4 18. Qb3 f5 19. Bg5 Qb4 20. Qf7 Be5 21. h3 Rxa4 22. Rxa4 Qxa4 23. Qxh7 Bxb2 24. Qxg6 Qe4 25. Qf7 Bd4 26. Qb3 f4 27. Qf7 Be5 28. h4 b5 29. h5 Qc4 30. Qf5 + Qe6 31. Qxe6 + Kxe6 32. g3 fxg3 33. fxg3 b4 ( the World Team did not trust 33 ... Bxg3 34. h6 Be5 35. h7 Bg7 36. Rf8 b4 37. h8Q Bxh8 38. Rxh8 ) 34. Bf4 Bd4 + 35. Kh1 b3 36. g4 Kd5 37. g5 e6 38. h6 Ne7 39. Rd1 e5 40. Be3 Kc4 41. Bxd4 exd4 42. Kg2 b2 43. Kf3 Kc3 44. h7 Ng6 45. Ke4 Kc2 46. Rh1 d3 ( 46 ... b1Q 47. Rxb1 Kxb1 48. Kxd4 and White will win ) 47. Kf5 b1Q 48. Rxb1 Kxb1 49. Kxg6 d2 50. h8Q d1Q 51. Qh7 b5 52. Kf6 + Kb2 53. Qh2 + Ka1 54. Qf4 b4 55. Qxb4 Qf3 + 56. Kg7 d5 57. Qd4 + Kb1 58. g6 Qe4 59. Qg1 + Kb2 60. Qf2 + Kc1 61. Kf6 d4 62. g7 1 – 0

His contributions to opening theory extend to reviving the Marshall Attack for Black in the Ruy Lopez ( 1. e4 e5 2. Nf3 Nc6 3. Bb5 a6 4. Ba4 Nf6 5. 0-0 Be7 6. Re1 b5 7. Bb3 0-0 8. c3 d5 ), developing the Leningrad Variation for White in the Nimzo-Indian Defence ( 1. d4 Nf6 2. c4 e6 3. Nc3 Bb4 4. Bg5 ), the Spassky Variation on the Black side of the Nimzo – Indian, and the Closed Variation of the Sicilian Defence for White ( 1. e4 c5 2. Nc3 ).

1. e4 e5 2. Nf3 Nc6 3. Bb5 a6 4. Ba4 Nf6 5. 0-0 Be7 6. Re1 b5 7. Bb3 d6 8. c3 0-0 9. h3 Bb7 10. d4 Re8 11. Ng5 Rf8 12. Nf3 Re8 13. Nbd2 Bf8 14. a3 h6 15. Bc2 Nb8 16. b4 Nbd7 17. Bb2 g6 18. c4 exd4 19. cxb5 axb5 20. Nxd4 c6 21. a4 bxa4 22. Bxa4 Qb6 23. Nc2 Qc7 24. Bb3 Ba6 25. Rc1 Bg7 26. Ne3 Bb5 27. Nd5 Nxd5 28. Bxg7 Kxg7 29. exd5 Ne5 30. Ne4 Nd3 31. Qd2 Ra3 32. Nf6 Rxe1 + 33. Rxe1 Kxf6 34. Qc3 + Ne5 35. f4 Ba4 36. fxe5 dxe5 ( see diagram )

For example, Sam Loyd devised the problem: " Construct a game which ends with black delivering discovered checkmate on move four " ( published in Le Sphinx, 1866 ; the solution is 1. f3 e5 2. Kf2 h5 3. Kg3 h4 + 4. Kg4 d5 #); while all White moves are unique ( see Beauty in chess problems below ), the Black ones aren't. Black mating on move 5 by change to knight.

Petrosian was an expert against the King's Indian Defence, and he often played what is now known as the Petrosian System: 1. d4 Nf6 2. c4 g6 3. Nc3 Bg7 4. e4 d6 5. Nf3 0-0 6. Be2 e5 7. d5.

Other Petrosian variations can be found in the Grünfeld Defence after 1. d4 Nf6 2. c4 g6 3. Nc3 d5 4. Nf3 Bg7 5. Bg5, and the French Defence after 1. e4 e6 2. d4 d5 3. Nc3 Bb4 4. e5 Qd7.

versus Unknown, 1750 1. e4 e5 2. Nf3 Nc6 3. Bc4 Bc5 4. 0-0 ( the rules of castling not yet having been standardized in their current form, White moved his king to h1 and his rook to f1 ) Nf6 5. Nc3 Ng4 6. d3 0-0 ( Black moved his king to h8 and his rook to f8 ) 7. Ng5 d6 8. h3 h6 9. Nxf7 + Rxf7 10. Bxf7 Qh4 11. Qf3 Nxf2 + 12. Rxf2 Bxf2 13. Nd5 Nd4 14. Ne7 Nxf3 15. Ng6 + Kh7 ½-½ in light of 16. Nf8 + Kh8 17. Ng6 + etc.

After Fischer's 4 ... 0-0, Byrne could have played 5. e4, whereupon 5 ... d6 6. Be2 e5 reaches the main line of the King's Indian Defense.

He has a variation of the Closed Ruy Lopez named for him: the line runs 1. e4 e5 2. Nf3 Nc6 3. Bb5 a6 4. Ba4 Nf6 5. 0-0 Be7 6. Re1 b5 7. Bb3 d6 8. c3 0-0 9. h3 h6.

Marshall Counterattack: 1. e4 e5 2. Nf3 Nc6 3. Bb5 a6 4. Ba4 Nf6 5. 0-0 Be7 6. Re1 b5 7. Bb3 0-0 8. c3 d5 ( 6074 games )

An original system on the Black side of the Closed Ruy Lopez ( 1. e4 e5 2. Nf3 Nc6 3. Bb5 a6 4. Ba4 Nf6 5. 0-0 Be7 6. Re1 b5 7. Bb3 d6 8. c3 0-0 9. h3 Na5 10. Bc2 c5 11. d4 Nd7 ) was introduced by Keres at the 1962 Candidates ' tournament, and it had a run of popularity for several years.

Tartakower thought highly enough of the game to include it in his book 500 Master Games of Chess. 1. e4 e5 2. Nf3 Nc6 3. Bc4 Nf6 4. Nc3 Nxe4 5. Nxe4 d5 6. Bd3 dxe4 7. Bxe4 Bd6 8. d4 Nxd4 9. Nxd4 exd4 10. Qxd4 O-O 11. Be3 Qe7 12. O-O-O Re8 13. Bd5?

Marshall-Atkins, USA v. England cable match 1902 1. d4 d5 2. c4 e6 3. Nc3 Nf6 4. Bg5 Be7 5. Nf3 Nbd7 6. e3 Ne4 7. Bxe7 Qxe7 8. Nxe4 dxe4 9. Nd2 f5 10. Be2 O-O 11. O-O e5 12. d5?

After 4 ... d5, White can also play 5. a3 Bxc3 + 6. Qxc3 Ne4 7. Qc2, when Black may play 7 ... c5 or 7 ... Nc6 intending ... e5.

A topical line would go 1. d4 Nf6 2. c4 e6 3. Nc3 Bb4 4. Qc2 Nc6 5. Nf3 ( better than 5. e3 ) d6, with the idea of playing e5.

* Classical Mainline: 4 ... Nc6 5. Nf3 d6 6. Bc4 e6 7. 0-0 Nf6 8. Qe2 Be7 9. Rd1 e5 10. h3 or 10. Be3

Still 5 ... Nf6 ( 5 ... e5 ; 5 ... Nc6 6. Nf3 e5 ) 6. Nf3 e6 7. Nc3 Qd6 is likely to transpose to a main line of the Alapin: 2. c3 d5 3. exd5 Qxd5 4. d4 e6 5. Nf3 Nf6 6. Bd3 Nc6 7. 0-0 cxd4 8. cxd4 Be7 9. Nc3 Qd6.

Subject to the limitations hereinafter provided, the Secretary of the Treasury is authorized and directed to pay, as prescribed by Section 8 of this Title, an amount not exceeding the principal of each award, plus accrued interests on such awards as bear interest, certified pursuant to Section 5 of this Title, in accordance with the award.

A typical `` sonogram '' of a human eye, together with a description of the anatomical parts, is shown in Fig. 5.

The following summary, based on Figures 5 and 6, is an example of one way of interpreting the 42 figures constructed from onset ages and completion ages of individual children with respect to the appropriate mean age for each growth center.

For example, the marksman gets 5 shots, but we take his score to be the number of shots before his first bull's-eye, that is, 0, 1, 2, 3, 4 ( or 5, if he gets no bull's-eye ).

The number of successes on each shot is a value of a random variable that has values 0 or 1, and there are 5 such random variables here.

It will be seen that where the scope is similar, the Athabascan ratios come out somewhat higher ( as indeed they ought to with a total ratio of 2.8 as against 3.5 or 4: 5 ) except for verbs, where alone the Athabascan ratio is lower.

If the force required to remove the coatings is plotted against film thickness, a graph as illustrated schematically in Fig. 5 may characteristically result.

Thus Af where the maximization is over all admissible policies Af, and Af is related to Af by ( 5 ).

The set of equations ( 5 ), ( 6 ), and the starting equation ( 7 ) is of a recursive type well suited to programming on the digital computer.

As a result, it is not easy to find a stock priced as the Morton issue was priced ( at roughly 10 times 1960 earnings, to yield a little over 5 per cent on the 64-cent anticipated dividend ).

Now, in 1961, the Catholic population of England is still quite small ( ten per cent, or 5 million ) ; ;

The importance of this 5 can largely be explained by the natural mathematical properties of the middle number and its special relationship to all the rest of the numbers -- quite apart from any numerological considerations, which is to say, any symbolic meaning arbitrarily assigned to it.

If one takes the middle number, 5, and multiplies it by 3 ( the base number of the magic square of three ), the result is 15, which is also the constant sum of all the rows, columns, and two main diagonals.

Made of gold-plated britannium on a black metal base, it is 13. 5 in ( 34 cm ) tall, weighs 8. 5 lb ( 3. 85 kg ) and depicts a knight rendered in Art Deco style holding a crusader's sword standing on a reel of film with five spokes.

It is a slab of white marble long, wide, and thick, on which are 5 groups of markings.

In the center of the tablet is a set of 5 parallel lines equally divided by a vertical line, capped with a semicircle at the intersection of the bottom-most horizontal line and the single vertical line.

In contrast, the largest North American community north of the circle, Sisimiut ( Greenland ), has approximately 5, 000 inhabitants, while between Canada and the USA, Barrow, Alaska is the largest settlement with circa 4, 000 inhabitants.

An Oligocene ( 34 – 23 Mya ) pollen is known for Asteraceae and Goodeniaceae, and seeds from Oligocene and Miocene ( 23 – 5. 3 Mya ) are known for Menyanthaceae and Campanulaceae respectively.

Argon has approximately the same solubility in water as oxygen and is 2. 5 times more soluble in water than nitrogen.

Because of weak bonding between the layers, gray arsenic is brittle and has a relatively low Mohs hardness of 3. 5.