St Paul spoke of the ' last times ': " Brethren, the time is short: it remaineth, that both they that have wives be as though they had none " ( 1 Corinthians 7: 29 ); " God ... Hath in these last days spoken unto us by his Son " ( Hebrews 1: 2 ).

Joseph Dongell, professor at Asbury Theological Seminary, states " the most conscipuous feature of Ephesians 1: 3 – 2: 10 is the phrase ' in Christ ', which occurs twelve times in Ephesians 1: 3 – 4 alone ... this means that Jesus Christ himself is the chosen one, the predestined one.

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.

The fundamental theorem of arithmetic states that any positive integer n can be represented uniquely as a product of powers of primes: where p < sub > 1 </ sub > < p < sub > 2 </ sub > < ... < p < sub > k </ sub > are primes and the a < sub > j </ sub > are positive integers.

" 2: 10 ) and as a religious problem (" Judah ... has married the daughter of a foreign god " 2: 11 ).

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

... At least 2, 505 people were sentenced for cannibalism in the years 1932 and 1933 in Ukraine, though the actual number of cases was certainly much greater.

Never mind that brute-force might require 2 < sup > 128 </ sup > encryptions ; an attack requiring 2 < sup > 110 </ sup > encryptions would be considered a break ... simply put, a break can just be a certificational weakness: evidence that the cipher does not perform as advertised.

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.

We list the elements of A effectively, n < sub > 0 </ sub >, n < sub > 1 </ sub >, n < sub > 2 </ sub >, n < sub > 3 </ sub >, ...

For example, the Case or Controversy Clause of Article Three of the United States Constitution ( Section 2, Clause 1 ) states that " the judicial Power shall extend ... to Controversies to which the United States shall be a Party ".

Labeling series that may be used include ordinary Arabic numerals ( 1, 2, 3, ...), Roman numerals ( I, II, III, ... or i, ii, iii, ...), or letters ( A, B, C, ... or a, b, c, ...).

Since all probabilities p < sub > i </ sub > add up to one: p < sub > 1 </ sub > + p < sub > 2 </ sub > + ... + p < sub > k </ sub > = 1, the expected value can be viewed as the weighted average, with p < sub > i </ sub >’ s being the weights:

From the time when letters began to be forged in his name ( 2 Thess 2: 2 ; 3: 17 ) it seems to have been his practice to close with a few words in his own handwriting, as a precaution against such forgeries ...

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, ....

Some people, including Aubrey, consider these two contiguous, possibly coincidental events as related and causative of his death: " The Snow so chilled him that he immediately fell so extremely ill, that he could not return to his Lodging ... but went to the Earle of Arundel's house at Highgate, where they put him into ... a damp bed that had not been layn-in ... which gave him such a cold that in 2 or 3 days as I remember Mr Hobbes told me, he died of Suffocation.

He was also vital in the development of two important systems in the French Defence, the Winawer Variation ( in some places called the Nimzowitsch Variation ; its moves are 1. e4 e6 2. d4 d5 3. Nc3 Bb4 ) and the Advance Variation ( 1. e4 e6 2. d4 d5 3. e5 ).

He also pioneered two provocative variations of the Sicilian Defence: the Nimzowitsch Variation, 1. e4 c5 2. Nf3 Nf6, which invites 3. e5 Nd5 ( similar to Alekhine's Defence ) and 1. e4 c5 2. Nf3 Nc6 3. d4 cxd4 4. Nxd4 d5?!

There are nonetheless some modern opening lines where a fianchettoed bishop is given up for a knight in order to double the opponent's pawns, for example 1. d4 g6 2. c4 Bg7 3. Nc3 c5 4. d5 Bxc3 +!?

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 ).

Black can respond in a variety of ways: perhaps the most principled is to make a claim to the centre ( which White's first move ignores ) with 1 ... d5 ( possibly followed by 2. Bb2 Qd6, attacking b4 and supporting e7-e5 ),< ref >

A variation of the Queen's Gambit Declined opening played several times there is today known as the Cambridge Springs Defense ( 1. d4 d5 2. c4 e6 3. Nc3 Nf6 4. Bg5 Nbd7 5. e3 c6 6. Nf3 Qa5 in algebraic notation ).

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.

For example, if Black defends with 1 ... Bxh7, the d5 square is no longer guarded, and White mates with 2. Nd5 #.

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.

Some authorities refer to a variation of the Caro-Kann defense with his name, along with former world champion Vassily Smyslov: the Petrosian – Smyslov variation, 1. e4 c6 2. d4 d5 3. Nc3 dxe4 4. Nxe4 Nd7.

Some well-known examples are the King's Gambit ( 1. e4 e5 2. f4 ), Queen's Gambit ( 1. d4 d5 2. c4 ), and Evans Gambit ( 1. e4 e5 2. Nf3 Nc6 3. Bc4 Bc5 4. b4 ).

A gambit used by Black may also be called a gambit ( e. g. the Latvian Gambit — 1. e4 e5 2. Nf3 f5 or Englund Gambit — 1. d4 e5 ), but is sometimes called a " countergambit " ( e. g. the Albin Countergambit — 1. d4 d5 2. c4 e5 and Greco Counter-Gambit, an old-fashioned name for the Latvian Gambit ).

Taxation of tangible movable property in Rhode Island has been generally of a `` hands off '' nature due possibly to several reasons: ( 1 ) local assessors, in the main, are not well paid and have inadequate office staffs, ( 2 ) the numerous categories of this component of personal property make locating extremely difficult, and ( 3 ) the inexperience of the majority of assessors in evaluating this type of property.

after completing the payments prescribed by paragraphs ( 2 ) and ( 3 ) of this subsection, to make payments, from time to time in ratable proportions, on account of the unpaid principal of all awards in the principal amount of more than $1,000, according to the proportions which the unpaid principal of such awards bear to the total amount in the fund available for distribution at the time such payments are made ; ;

Your application must include the following information: ( 1 ) your reasons for requesting an extension, ( 2 ) whether you filed timely income tax returns for the 3 preceding years, and ( 3 ) whether you were required to file an estimated return for the year, and if so whether you did file and have paid the estimated tax payments on or before the due dates.

So with four complete Push-Pull Super-Sets No. 1, four of No. 2, four of No. 3 and four to six sets of the Incline Bench Press, you can see that Henri De Courcy has had a terrific mass-building, muscle-shaping, torso-defining workout that cannot be improved upon.

Spread dough with a mixture of 3 tablespoons chili sauce, 1 teaspoon horse-radish and 2 teaspoons mustard.

-- feed at level for 2 or 3 days.

Among them, according to the U.S. Department of Commerce, are: ( 1 ) shorter work weeks, ( 2 ) higher pay, ( 3 ) longer paid vacations, ( 4 ) better transportation, ( 5 ) earlier retirement, and ( 6 ) more education.

Statistically, the most significant data have been collected from the sensors on 1958 Alpha ( Explorer 1 ), 1958 Delta 2 ( Sputnik 3 ), and 1959 Eta ( Vanguard 3 ).

In 2 of 15 experiments on whole serum a region of agglutinin activity with intermediate anionic binding capacity was detected ( Region 3, Fig. 1 ).

Lung type 3 ( ( fig. 3 ) is to some degree a composite of types 1, and 2.

Arterial supply to the pleura in types 1 and 3 is provided by the bronchial artery, and in type 2, by the pulmonary artery.

In types 1, 2 and 3 the bronchial artery terminates in a capillary bed shared in common with the pulmonary artery at the level of the distal bronchiole.

In type 3, this general relationship is maintained peripherally but not centrally where the pulmonary vein follows a more independent path to the hilum as is the case throughout the lung in type 2.

As one approach to doing this, Figures 3 and 4 have be constructed from the mean ages and the individual onset and completion ages for boy 34 and girl 2.

The data for boy 34 appear in Figure 3, and for girl 2 in Figure 4.

For example, arrow 17 in Figure 3 portrays the proximal radial epiphysis for boy 34, whereas the same epiphysis for girl 2 is portrayed by arrow 18 in Figure 4.

When three dice are tossed repeatedly, what is the probability that the number of aces is 0 ( or 1, or 2, or 3 )??

For an experiment to qualify as a binomial experiment, it must have four properties: ( 1 ) there must be a fixed number of trials, ( 2 ) each trial must result in a `` success '' or a `` failure '' ( a binomial trial ), ( 3 ) all trials must have identical probabilities of success, ( 4 ) the trials must be independent of each other.

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 ).

For Yokuts, I tabulated these 71 items in five columns, according as they were expressed by 1, 2, 3, 4, and more than 4 stems.

In 1960, David D. Thomas published Basic Vocabulary In some Mon-Khmer Languages ( AL 2, No. 3, pp. 7 - 11 ), which compares 8 Mon-Khmer languages with the I-E language data on which Swadesh based the revised retention rate ( Af ) in place of original ( Af ), and his revised 100 word basic glottochronological list in Towards Greater Accuracy ( IJAL 21::

The first step in processing was to analyze the returns from Questions 1, 2, and 3 to determine whether the respondents were large businesses or small businesses, in accordance with the definitions contained in ASPR Section 1-701.