But that one should superimpose all these charts, run a pin through the common point, and then scale each planetary deferent larger and smaller ( to keep the epicycles from ' bumping ' ), this is contrary to any intention Ptolemy ever expresses.

Underneath the big one, in the silent moonlight, lay a dead pigeon, and on the smaller bell, the Clemence, two gray and white birds slept huddled together in the cold winter air.

The frequency used for these experiments is 15 mc. and the transducer is a specially cut crystal with an epoxy lens capable of providing beam diameters smaller than one millimeter.

The inventory of tones is much smaller, and commonly the contrasts range along one single dimension, pitch level.

Both church and graveyard were smaller than she remembered them ( how many things had lessened while she was gone away ) but the headstones had grown so thick in thirty years that to find one named `` Dorothy Tredding '' seemed suddenly impossible.

However, we sent a third vessel out, a much smaller and faster one than the first two.

A distinction is sometimes made between the smaller adobes, which are about the size of ordinary baked bricks, and the larger adobines, some of which may be one to two yards ( 1 – 2 m ) long.

No human being can write fast enough, or long enough, or small enough † ( †" smaller and smaller without limit ... you'd be trying to write on molecules, on atoms, on electrons ") to list all members of an enumerably infinite set by writing out their names, one after another, in some notation.

** Trichotomy: If two sets are given, then either they have the same cardinality, or one has a smaller cardinality than the other.

With the interstitial mechanism, one atom is usually much smaller than the other, so cannot successfully replace an atom in the crystals of the base metal.

The eastern branch of the East African Rift, contains much smaller lakes, many of them brackish and without outlet, the only one comparable to those of the western trough being Lake Turkana or Basso Norok.

At one point following the 5200's release, Atari had planned a smaller, cost-reduced version of the Atari 5200, which would have removed the controller storage bin.

There are several big coach companies, which control the market for intercity travel, and hundreds of small ones ( one bus = one company ), which operate between the smaller towns.

A match is started by a randomly chosen side being given the opportunity to throw a smaller ball, the jack ( called a boccino or pallino in some areas ), from one end of the court into a zone in length, ending from the far end of the court.

Initially, there were 25 franchises, but the number of different operating companies is smaller as some firms, including First Group, National Express Group and Stagecoach Group, run more than one franchise.

A maximum traction truck has one driving axle with large wheels and one nondriving axle with smaller wheels.

Bees all have two pairs of wings, the hind pair being the smaller of the two ; in a very few species, one sex or caste has relatively short wings that make flight difficult or impossible, but none are wingless.

The bain-marie comes in a wide variety of shapes, sizes, and types, but traditionally is a wide, cylindrical, usually metal container made of three or four basic parts: a handle, an outer ( or lower ) container that holds the working liquid, an inner ( or upper ), smaller container that fits inside the outer one and which holds the material to be heated or cooked, and sometimes a base underneath.

In the hypothetical situation that a given coastline has this property of self-similarity, then no matter how greatly any one small section of coastline is magnified, a similar pattern of smaller bays and promontories superimposed on larger bays and promontories appears, right down to the grains of sand.

* Carbon nanocones, conical structures which are made predominantly from carbon and which have at least one dimension of the order one micrometer or smaller

Virtually the only possible variation is using a different reference date, in particular one less distant in the past to make the numbers smaller.

They also had smaller food rations than Germans, and had to wear a sign with the letter P on their clothes indicationg their ethnic background.

Or, more practically: in order to prove a property P for all ordinals α, one can assume that it is already known for all smaller β < α.

If we use NC reductions, that is, reductions which can operate in polylogarithmic time on a parallel computer with a polynomial number of processors, then all P-complete problems lie outside NC and so cannot be effectively parallelized, under the unproven assumption that NC ≠ P. If we use the weaker log-space reduction, this remains true, but additionally we learn that all P-complete problems lie outside L under the weaker unproven assumption that L ≠ P. In this latter case the set P-complete may be smaller.

Hubble Space Telescope | Hubble's Wide Field Camera 3 clearly shows the slow evolution of the debris coming from asteroid P / 2010 A2, which is thought to be due to a collision with a smaller asteroid.

Between January and May 2010, Hubble's Wide Field Camera 3 took images of an unusual X shape originated in the aftermath of the collision between asteroid P / 2010 A2 with a smaller asteroid.

EM gauge has slightly overscale flanges and flangeways on point and crossing work ; P4 is closer to scale but the smaller flanges and flangeways on P & C work expose poor track construction.

A fourth European species is described as Pseudaelurus romieviensis, smaller than P. quadridentatus but larger than P. lorteti.

This species is smaller than P. validus and overlaps in size with the Eurasian species P. lorteti, P. cuspidatus and p. guangheensis.

the earliest date is put around the 14th century where a copperplate inscription of Parakarama Bahu IV ( 1302-1326 ) refers to two persons who were declared exempt from certain taxes which included " gun licenses ". http :// www. island. lk / index. php? page_cat = article-details & page = article-details & code_title = 22207 many also believe that it was the Portuguese who first brought over actual muskets during their invasion of the Sri Lankan Coastline and low lands in 1505 as they regularly used short barrelled matchlocks during combat, however, P. E. P. Deraniyagala points out that the Sinhala term for gun, ‘ bondikula ’ matches the Arabic term for gun, ‘ bunduk .’ Also that certain technical aspects of the early Sinhalese matchlock were similar to the matchlocks used in the Middle East, thus forming the generally accepted theory that the musket was not entirely new to the island by the time the Portuguese came, but it was only in a short matter of time that native Sri Lankan kingdoms, most notably the kingdom of Sitawaka and the Kandyan Kingdom where Sinhalese muskets with a unique bifurcated stock, longer barrel and smaller calibre, which made it more efficient in driving out the energy from the gunpowder, where manufactured by the hundreds and mastered by soldiers to the point where according to the Portuguese invader, Queyroz, they could " fire at night to put out a match " and " by day at 60 paces would sever a knife with four or five bullets " and " send as many on the same spot in the target.

It is slightly smaller than P. p. phoenicurus and in adult males has white outer webs in the remiges to some extent, forming a pale to whitish wing-patch similar to the one seen in Black Redstart and Daurian Redstart.

It is smaller and less strongly blue than P. p. himalayanus, but its distinctness from the next subspecies has been questioned.

The similar P. d. persicus is paler and smaller, and P. d. niloticus is nearly identical but smaller.

The fourth lower premolar ( p4 ) is about 51 % shorter than the corresponding tooth in P. mediaevus ; 28 % less than P. kummae ; 15 % less than P. tsosiensis ; and 5 % smaller than P. fractus, which gives some idea of the relative sizes of the various animals.

Pluto's four other moons, Nix, Hydra, S / 2011 P 1, and S / 2012 P 1, are far smaller and orbit the Pluto – Charon system.

According to these models, a necessary ( but not sufficient ) condition for the occurrence of amorphous phases is that T < sub > h </ sub > has to be smaller than 0. 3, that is the deposition temperature must be below 30 % of the melting temperature.

During the early phases of the Big Bang, nucleosynthesis of hydrogen nuclei resulted in the production of hydrogen-1 ( protonium, < sup > 1 </ sup > H ) and helium-4 (< sup > 4 </ sup > He ), as well as a smaller amount of deuterium (< sup > 2 </ sup > H ) and very minuscule amounts ( on the order of 10 < sup >− 10 </ sup >) of lithium and beryllium.

Since at this stress the slope of the material's stress-strain curve, E < sub > t </ sub > ( called the tangent modulus ), is smaller than that below the proportional limit, the critical load at inelastic buckling is reduced.

For example, if u < sub > 1 </ sub > is an eigenvector of A, with a real eigenvalue smaller than one, then the straight lines given by the points along α u < sub > 1 </ sub >, with α ∈ R, is an invariant curve of the map.

The Sinai Peninsula is a triangular-shaped peninsula, about 61, 100 km < sup > 2 </ sup > in area ( slightly smaller than the U. S. state of West Virginia ).

In other words, multiples of the smaller number r < sub > k − 1 </ sub > are subtracted from the larger number r < sub > k − 2 </ sub > until the remainder is smaller than the r < sub > k − 1 </ sub >.

Thus, r < sub > k </ sub > is smaller than its predecessor r < sub > k − 1 </ sub > for all k ≥ 0.

This is a divide and conquer algorithm that recursively breaks down a DFT of any composite size N = N < sub > 1 </ sub > N < sub > 2 </ sub > into many smaller DFTs of sizes N < sub > 1 </ sub > and N < sub > 2 </ sub >, along with O ( N ) multiplications by complex roots of unity traditionally called twiddle factors ( after Gentleman and Sande, 1966 ).

However, modern Homo sapiens have a brain volume slightly smaller ( 1250 cm < sup > 3 </ sup >) than Neanderthals, women have a brain slightly smaller than men and the Flores hominids ( Homo floresiensis ), nicknamed hobbits, had a cranial capacity of about 380 cm < sup > 3 </ sup > ( considered small for a chimpanzee ), about a third of the Homo erectus average.

Several smaller store formats have been unsuccessfully tested in the past ( the " midi " concept in the early ' 90s, which was tested in Ottawa and Heerlen with 9, 300 m < sup > 2 </ sup >, or a " boutique " shop in Manhattan ).

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