" This was probably a circular letter to be read in more than one place .... Most likely, the author did not know the readers personally ( see 1: 15, 3: 2-4, and 6: 23-24 ).

His first construction shows how to write the real algebraic numbers as a sequence a < sub > 1 </ sub >, a < sub > 2 </ sub >, a < sub > 3 </ sub >, ....

where is the quark field, a dynamical function of space-time, in the fundamental representation of the SU ( 3 ) gauge group, indexed by ; are the gluon fields, also a dynamical function of space-time, in the adjoint representation of the SU ( 3 ) gauge group, indexed by a, b, ....

3. 92069039487 ....

However, as a formal power series, we may ignore this completely ; all that is relevant is the sequence of coefficients − 3, 5, − 7, 9, − 11, ....

* Misérables – Époque 3: Cosette, Les ( 1913 ) .... Éponine

For example, 5 '--- GACTGC .... GCAGTC --- 3 '.

“ The Natural World, Greatest Tides: The greatest tides in the world occur in the Bay of Fundy .... Burntcoat Head in the Minas Basin, Nova Scotia, has the greatest mean spring range with 14. 5 metres ( 47. 5 feet ) and an extreme range of 16. 3 metres ( 53. 5 feet ).”

About 1. 3 % of families and 6. 2 % of the population were below the poverty line, including none of those under age 18 and 27. 1 % of those age 65 or over ....

i. e. size / shrink factor, input size / shrink factor ^ 2, input size / shrink factor ^ 3, ...., 1.

Synthesis of carbon fiber from Polyacrylonitrile ( PAN ) 1 ) Polymerization of acrylonitrile to PAN 2 ) Cyclization during low temperature process 3 ) High temperature oxidative treatment of carbonization ( hydrogen is removed ) .... after this, process of graphitization starts where nitrogen is removed and chains are joined into graphite planes

* 1996: Absolutely Fabulous .... God ( 3 episodes, 1996 – 2001 )

I would hold 3 of the Smith Act authorizing this prior restraint unconstitutional on its face and as applied ....

* 2001: Reba .... Dr. Susan Peters ( 3 episodes, 2001 )

At 3 o-clock he was interviewing musicians, at five he was getting ready to go on stage ....

: 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ....

* 2000 3 Strikes .... Charita

* 1997 Sprung .... Sista # 3

* 1993-1997 " Martin " .... Keylolo ( 3 episodes )

Most mobile phone operator discourage or prohibit permanent roaming since they must pay per minute rates to the network operator their customer is roaming onto to ,< ref > Roaming-Included Plans: .... Sprint may terminate service if ( 1 ) more than 800 minutes, ( 2 ) a majority of minutes or ( 3 ) a majority of data kilobytes in a given month are used while roaming.

Entertainment Weekly ( 3 / 24 / 00, p. 102 )-"... resumes their scorched-earth policy with vigor .... dropping aural anvils with a dash of inventiveness ..."-Rating: B +

CMJ ( 4 / 3 / 00, p. 32 )-" Crammed with everything they've used to revolutionize metal .... so old-school it could have been easily made in between the quartet's back-to-back classics.

“ It is difficult to deal seriously with Joseph Smith ’ s impudent fraud .... Smith has turned the goddess in Facsimile No. 3 into a king and Osiris into Abraham .”

In Chapters 3 and 4 we answered questions like those in the examples, usually by counting points in a sample space.

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 ).

( 3 ) How can we be sure that his sense of touch was not profoundly disturbed by his head injury??

" Noting that " It depends on the data we use, but roughly speaking, per capita income in developing countries grew at 3 % per year between 1960 and 1980, but has grown only at about 1. 5 % between 1980 and 2000.

gives the example of Groombridge 1830, where he estimates that the true position is displaced by approximately 3 arcminutes from the direction in which we observe it.

Right now, the rest of the world owns $ 3 trillion more of us than we own of them.

The last time we saw the tree of life was in the Garden of Eden. 2: 9 God drove Adam and Eve away from it because it bestowed eternal life and he did not want them to have it in their degraded state. 3: 22 In the New Jerusalem, the tree of life reappears, and everyone in the city has access to it.

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.

The notation ∇ × F has its origins in the similarities to the 3 dimensional cross product, and it is useful as a mnemonic in Cartesian coordinates if we take ∇ as a vector differential operator del.

We might not see any rotation initially, but if we closely look at the right, we see a larger field at, say, x = 4 than at x = 3.

#: Notice that we have to account for all possibilities of and so we actually end up adding 3 rules.

As an example, if we have a color depth of 12bits / pixel and an algorithm that compresses at 40x, then BPP equals 0. 3 ( 12 / 40 ).

In other words we would need to invest $ 129, 576 in a T-Bond now to get $ 150, 000 in 3 years almost risk free.

The functions implied in properties ( 1 ), ( 2 ), and ( 4 ) are always injective, as is ( 3 ) if we do not multiply by zero.

Postulates 1, 2, 3, and 5 assert the existence and uniqueness of certain geometric figures, and these assertions are of a constructive nature: that is, we are not only told that certain things exist, but are also given methods for creating them with no more than a compass and an unmarked straightedge.

( 3 ) If we use the same method as in ( 2 ).

Call this graph G. G cannot have a vertex of degree 3 or less, because if d ( v ) ≤ 3, we can remove v from G, four-color the smaller graph, then add back v and extend the four-coloring to it by choosing a color different from its neighbors.

For case # 3, the two boundary pixels define a path which, if we painted the current pixel, may block us from ever getting back to the other side of the path.

Greatest common divisors can in principle be computed by determining the prime factorizations of the two numbers and comparing factors, as in the following example: to compute gcd ( 18, 84 ), we find the prime factorizations 18 = 2 · 3 < sup > 2 </ sup > and 84 = 2 < sup > 2 </ sup > · 3 · 7 and notice that the " overlap " of the two expressions is 2 · 3 ; so gcd ( 18, 84 ) = 6.