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many and small
Once, then -- for how many years or how few does not matter -- my world was bound round by fences, when I was too small to reach the apple tree bough, to twist my knee over it and pull myself up.
`` A portable companion always ready to go where you go -- a small friend weighing less than a freshborn infant -- to be shared with few or many -- just two of you in sweet meditation ''.
Our complaint is that in many crucial areas the Kennedy programs are not too large but too small, most seriously in regard to the conventional arms build-up and in aid and welfare measures.
The colony had been small until the Spanish Inquisition of 1492 drove many Jews into Rome.
If we stop thinking in terms of tremendous multimegaton nuclear weapons and consider employing much smaller nuclear weapons which may be more appropriate for most important military targets, it would seem that the B-52 or B-70 could carry a great many small nuclear weapons.
Staley Hanover ( Knight Dream-Sweetmite Hanover ) is a little on the small side but a very compact colt and looks like one to stand training and many future battles with colts in his class.
She also banks into a turn like a fine runabout -- not digging in on the outside to throw passengers all over the boat like many a small cabin cruiser.
Instead of relatively small sales to many accounts, there are now larger sales to or through fewer accounts.
Microscopically, both kidneys showed many small cortical scars in which there was glomerular and interstitial fibrosis, tubular atrophy, and an infiltration of lymphocytes and plasma cells.
Occasionally there were small basophilic fibers that were devoid of myofibrillae and contained many vesicular nuclei with prominent nucleoli ( Fig. 5 ).
That we are experiencing an upsurge of interest in the many formulations and preventive adaptations of brief treatment in social casework is evident from even a small sampling of current literature.
The newer party campaigned heavily, while the older, more confident party expected the Moroccan merchants and small businessmen to support them as they had done for many years.
The club runs regular trips to the cabins, but many of the students prefer to take off in small unofficial groups for a weekend of hunting, fishing, climbing, or skiing.
Wide windows with many small leaded panes swept across the upper stories.
) While Rotokas has a small alphabet because it has few phonemes to represent ( just eleven ), Book Pahlavi was small because many letters had been conflated — that is, the graphic distinctions had been lost over time, and diacritics were not developed to compensate for this as they were in Arabic, another script that lost many of its distinct letter shapes.
The number of neutrons, N, is known as the neutron number of the atom ; thus, A = Z + N. Since protons and neutrons have approximately the same mass ( and the mass of the electrons is negligible for many purposes ), and the mass defect is usually very small compared to the mass, the atomic mass of an atom is roughly equal to A.
From the 2000s many Chinese have settled and started up small businesses, while at least as many have come as workforce for large ( construction or other ) enterprises.
According to many scholars it only comprises a small number of monosyllabic lexical roots, including the personal pronouns and a few other deictic and auxiliary items.
One of the most fascinating and intriguing aspects of Ancestral Puebloan infrastructure is at Chaco Canyon and is the Chaco Road, a system of roads radiating out from many great house sites such as Pueblo Bonito, Chetro Ketl and Una Vida, and leading towards small outlier sites and natural features within and beyond the canyon limits.
Mug House, a typical cliff dwelling of the period, was home to around 100 people who shared 94 small rooms and eight kivas built right up against each other and sharing many of their walls ; builders in these areas maximized space in any way they could and no areas were considered off-limits to construction.
* Magic: Three types of magic are detailed: Power Words, with a quick, small effect ; Sorcery, with pre-prepared spells as in many other game systems ; and Conjuration, the creation of small objects.

many and primes
The Lenstra – Pomerance – Wagstaff conjecture asserts that, on the contrary, there are infinitely many Mersenne primes and predicts their order of growth.
It is also not known whether infinitely many Mersenne numbers with prime exponents are composite, although this would follow from widely believed conjectures about prime numbers, for example, the infinitude of Sophie Germain primes congruent to 3 ( mod 4 ).
#* Note: This fact provides a proof of the infinitude of primes distinct from Euclid's Theorem: if there were finitely many primes, with p being the largest, we reach an immediate contradiction since all primes dividing 2 < sup > p </ sup > − 1 must be larger than p .</ li >
There are infinitely many primes, as demonstrated by Euclid around 300 BC.
Many questions around prime numbers remain open, such as Goldbach's conjecture, which asserts that every even integer greater than 2 can be expressed as the sum of two primes, and the twin prime conjecture, which says that there are infinitely many pairs of primes whose difference is 2.
No proof is known whether there are infinitely many Mersenne primes and perfect numbers.
Since the harmonic series, obtained when s = 1, diverges, Euler's formula ( which becomes ) implies that there are infinitely many primes.
He used it to prove that there exist infinitely many integers n such that n and n + 2 have at most nine prime factors ( 9-almost primes ); and that all large even integers are the sum of two 9 ( or smaller )- almost primes.
The question of whether there exist infinitely many twin primes has been one of the great open questions in number theory for many years.
This is the content of the twin prime conjecture, which states There are infinitely many primes p such that p + 2 is also prime.
In 1940, Paul Erdős showed that there is a constant c < 1 and infinitely many primes p such that ( p ′ − p ) < ( c ln p ) where p ′ denotes the next prime after p. This result was successively improved ; in 1986 Helmut Maier showed that a constant c < 0. 25 can be used.
: Every integer which can be written as the sum of two primes, can also be written as the sum of as many primes as one wishes, until all terms are units.
Since this quantity goes to infinity as n increases, we expect that every large even integer has not just one representation as the sum of two primes, but in fact has very many such representations.
This result was subsequently enhanced by many authors ; currently, the best known result is due to Olivier Ramaré, who in 1995 showed that every even number n ≥ 4 is in fact the sum of at most six primes.
One should not refer to only these numbers as " the Gaussian primes ", which term refers to all the Gaussian primes, many of which do not lie in Z.
Are there any other lines that have infinitely many Gaussian primes on them?
In particular, are there infinitely many Gaussian primes of the form 1 + ki?

many and p
< p > While the alcohol content of flavored malt beverages is similar to that of most traditional malt beverages, the alcohol in many of them is derived primarily from the distilled spirits component of the added flavors rather than from fermentation .</ p > ( 70 Fed.
< p > Dear old Broadway, for many years have I dwelt on your borders.
Latour notes that such social criticism has been appropriated by those he describes as conspiracy theorists, including global warming skeptics and the 9 / 11 Truth movement: “ Maybe I am taking conspiracy theories too seriously, but I am worried to detect, in those mad mixtures of knee-jerk disbelief, punctilious demands for proofs, and free use of powerful explanation from the social neverland, many of the weapons of social critique .” ( p. 230 )
The vast majority of all diodes are the pn diodes found in CMOS integrated circuits, which include two diodes per pin and many other internal diodes.
Schottky diodes are majority carrier devices and so do not suffer from minority carrier storage problems that slow down many other diodes — so they have a faster reverse recovery than pn junction diodes.
He is further considered by many to be the “ father of modern educational science ” ( Hayes, 2007, p. 2 ).
Sanders proposed that many of Neusner's interpretations of Pharisaic discussions and rulings were questionable ( e. g., Neusner concludes that 67 % of the debates between Pharisaic " houses " dealt with ritual food purity ; Sanders concludes that less than 1 % do — see Sanders, p. 177 ).
In spite of this, it seems that “ many poets did not object to and some must have preferred baroque juxtapositions of unlike kennings and neutral or incongruous verbs in their verses ” ( Foote & Wilson ( 1970 ), p. 332 ).
According to several linguists, neurocognitive research has confirmed many standards of language learning, such as: " learning engages the entire person ( cognitive, affective, and psychomotor domains ), the human brain seeks patterns in its searching for meaning, emotions affect all aspects of learning, retention and recall, past experience always affects new learning, the brain's working memory has a limited capacity, lecture usually results in the lowest degree of retention, rehearsal is essential for retention, practice does not make perfect, and each brain is unique " ( Sousa, 2006, p. 274 ).
The midday block ( defined by Arbitron as 10 a. m. to 3 p. m., though often extended later to about 5 p. m .) is mostly music, and in many places is at least partially voicetracked from another market.
Nazareth is known as " the Arab capital of Israel "; the population is made up predominantly of Arab citizens of Israel, almost all of whom are either Muslim ( 69 %) or Christian ( 30. 9 %).< ref >< p > In the New Testament, the city is described as the childhood home of Jesus, and as such is a center of Christian pilgrimage, with many shrines commemorating biblical events.
This was the last Super Bowl to kickoff as early as 2: 00 p. m. ( EST ), thereby allowing a finish time before commencement of many of the nation's evening church services.
In some Chinese languages, such as Wu, and in many Austronesian languages, the ' intermediate ' phonation of slack stops confuses listeners of languages without these distinctions, so that different transcription systems may use / p / or / b / for the same consonant.
The first U. S. Supreme Court case to uphold the ban against involuntary servitude was Bailey v. Alabama ( 1911 ).</ p >< p > Requiring specific performance as a remedy for breach of personal services contracts has regarded as a form of involuntary servitude by some scholars and courts, though other jurisdictions and scholars have rejected this argument ; it is a popular rule in academia and many local jurisdictions, but has never been upheld by higher courts .</ p >
We improved the precision of the position, i. e. reduced σ < sub > x </ sub >, by using many plane waves, thereby weakening the precision of the momentum, i. e. increased σ < sub > p </ sub >.
These three white dwarfs, the first discovered, are the so-called classical white dwarfs .< sup >, p. 2 </ sup > Eventually, many faint white stars were found which had high proper motion, indicating that they could be suspected to be low-luminosity stars close to the Earth, and hence white dwarfs.
Research at Moscow Aviation Institute, RKK Energiya, National Aerospace University, Kharkiv Aviation Institute University of Stuttgart, ISAS, Centrospazio, Alta S. p. A., Osaka University, University of Southern California, Princeton University's Electric Propulsion and Plasma Dynamics Lab ( EPPDyL ) ( where MPD thruster research has continued uninterrupted since 1967 ), and NASA centers ( Jet Propulsion Laboratory and Glenn Research Center ), has resolved many problems related to the performance, stability and lifetime of MPD thrusters.

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