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Page "Kepler's laws of planetary motion" ¶ 8
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Because and nonzero
Because this has some fixed nonzero probability p of occurring, the E < sub > k </ sub > are independent, and the below sum diverges,
Because every ( nonzero finite-dimensional ) representation of G has a one-dimensional invariant subspace according to the Lie – Kolchin theorem, every irreducible finite-dimensional representation of a connected and solvable linear algebraic group G has dimension one, which is another way to state the Lie – Kolchin theorem.

Because and planetary
Because no such correlation was found, a planetary companion was deemed the most likely cause.
Because of Congressman Brown's long-standing commitment to planetary defense, a U. S. House of Representatives ' bill, H. R.
Because planetesimals are so numerous, and spread throughout the protoplanetary disk, some survive the formation of a planetary system.
Because chondrites represent the oldest solid material within our solar system and are believed to be the building blocks of the planetary system, it follows that an understanding of the formation of chondrules is important to understand the initial development of the planetary system.
Because of Gilbert's prescient insights into planetary geology, the Geological Society of America created the G. K. Gilbert Award for planetary geology in 1983.
Because the tips have a significant speed ( typically 1 – 3 km / s ), it can be possible in some cases to cancel the orbital speed such that the tips are stationary at their lowest point with respect to a planetary surface or lunar body.
Because the theoretical models which are used to predict planetary masses for objects in young star systems like GQ Lupi b are still tentative, the mass cannot be precisely specified — models place GQ Lupi b's mass anywhere between a few Jupiter masses and 36 Jupiter masses.
Because spiral mixers are able to mix dough with less agitator friction than planetary mixers, the dough is mixed without raising its temperature as much, which is desirable for ensuring the dough can rise properly.
Because the oldest seafloor is only 170 million years old, whereas the oldest bit of continental crust goes back to 4 billion years or more, it makes sense to emphasize the much longer record of the planetary pulse that is recorded in the continents.
Because of his background, Stark is keenly aware of the injustices visited on the planetary " primitives " by the colonialist Earth, and tends to side with them against official bodies.

Because and masses
Because the ions have masses comparable to those of the target atoms, they knock the target atoms out of place more than electron beams do.
Because a mole of molecules may contain a variety of molecular masses due to natural isotopes, the average mass is usually not identical to the mass of any single molecule.
Because of the real time nature of ultrasound, it is often used to guide interventional procedures such as fine needle aspiration FNA or biopsy of masses for cytology or histology testing in the breast, thyroid, liver, kidney, lymph nodes, muscles and joints.
Because the core was surrounded by a good neutron reflector, at explosion it comprised almost 2. 5 critical masses.
Because of their adaptability and masses of spectacular flowers, clematis are among the most popular of all garden plants.
Because the invariant mass includes the mass of any kinetic and potential energies which remain in the center of momentum frame, the invariant mass of a system is usually greater than sum of rest masses of its separate constituents.
Because diabatic processes, which can change PV and entropy, occur relatively slowly in the atmosphere, PV is useful as an approximate tracer of air masses over the timescale of a few days, particularly when viewed on levels of constant entropy.
Because of their extreme masses they have short lifespans of 30 million years down to a few hundred thousand years ( by the calculation M < sup >- 2. 5 </ sup > × 10 < sup > 10 </ sup > where M = mass in sols ).
Because of this, a reasonably sized gun-type weapon would suffer nuclear reaction before the masses of plutonium would be in a position for a full-fledged explosion to occur.
Because of their extreme masses they have relatively short lifespans and are mainly observed in young cosmic structures such as open clusters, the arms of spiral galaxies, and in irregular galaxies.
Because of its location, situated in the southern Brazilian and crossed by the Tropic of Capricorn, the region of Maringá is influenced by several macro-climatic factors caused by migration of air masses from the Atlantic Ocean and from the Tropical zone.
Because neither neutrinos nor electrons are affected by the strong force – because neutrinos are electrically neutral, and because the incredibly small masses of these particles makes negligible any gravitational force between them – such an interaction can only happen via the weak force.
Because the nuclear binding energy of the elements reaches its maximum at an atomic mass number greater than about 58 atomic mass units ( u ), spontaneous breakdown into smaller nuclei and a few isolated nuclear particles becomes possible at heavier masses.
Because of the constraints in forming the daughter fission-product nuclei, spontaneous fission into known nuclides becomes theoretically possible ( that is, energetically possible ) for some atomic nuclei with atomic masses greater than 92 atomic mass units ( a. m. u.
Because fermion masses are radiatively stable, the Higgs mass inherits this stability.
Because the Iapetus Ocean was positioned between continental masses that would at a much later time roughly form the opposite shores of the Atlantic Ocean, it can be seen as a sort of precursor of the Atlantic.
Because of a warm air mass ’ s higher temperature and thus lesser density, mixing between the two air masses is unlikely.
Because luxury has now diffused into the masses, defining the word has become difficult.

Because and resulting
Because of a sale of assets resulting from the bankruptcy, Hubbard no longer owned the rights to the name " Dianetics ", but its philosophical framework still provided the seed for Scientology to grow.
Because of the ballpark's age and constrained location in the dense Fenway – Kenmore neighborhood, the park has had many renovations and additions over the years not initially envisioned, resulting in unique, quirky features, including " The Triangle ," " Pesky's Pole ", and most notably the famous Green Monster in left field.
Because silver was worth less than its legal equivalent in gold, taxpayers paid their government bills in silver, while international creditors demanded payment in gold, resulting in a depletion of the nation's gold supply.
Because events and not video frames were saved, the resulting game demo files were small and easily shared among players.
Because momentum has a direction, it can be used to predict the resulting direction of objects after they collide, as well as their speeds.
Because his exposures were not simultaneous, unsteady subjects exhibited color " fringes " or, if rapidly moving through the scene, appeared as brightly colored ghosts in the resulting projected or printed images.
Because life is constrained to begin with a simple starting point, any diversity resulting from this left wall will be perceived to move in the direction of higher complexity.
Because SECAM transmits only one color at a time, it is free of the color artifacts present in NTSC and PAL resulting from the combined transmission of both signals.
As far as the illegal snap is concerned, the non-call was promptly acknowledged by the officials and reported by NBC sportscasters during halftime, but the resulting three points were not taken away from the Bears ( Because of this instance, the NFL instructed officials to strictly enforce the 10-second run-off rule at the start of the 1986 season ).
Because Westinghouse was angered by the decision, he funded Eighth Amendment-based appeals for inmates set to die in the electric chair, ultimately resulting in Edison providing the generators which powered early electrocutions and testifying successfully on behalf of the state that electrocution was a painless method of execution.
Because the islands had few grapes to make wine with, barley beer was used instead, resulting in the development of whisky.
Because of resulting ecological destruction and fish kills, less water is diverted today than a few decades ago.
Because of the high air pressure they produce in the cabinet, subwoofer enclosures often require internal bracing to distribute the resulting forces.
Because it is exposed to the generally westerly winds and waves of the Pacific, seas and weather in Juan de Fuca Strait are, on average, rougher than in the more protected waters inland, thereby resulting in a number of small-craft advisories.
Because accurate measurements of longitude were not possible at that time, the line was not strictly enforced, resulting in a Portuguese expansion of Brazil across the meridian.
Because of safety issues at 130R ( Formula One car driver Allan McNish had a serious crash during the Formula One car race the previous October there, resulting in a reprofiled 130R for 2003, known as 85R and 340R.
Because PWS infants have a higher rate of difficulties at birth ( including breech delivery and respiratory delay ) birth-related injuries and oxygen deprivation may complicate the genetic handicaps, resulting in atypical PWS.
Because of changes of the client's perceived address resulting from DHCP, network address translation, and web proxies this method may be unreliable.
Because there is only one monochromator, the tube-sample-crystal distances can be kept very short, resulting in minimal loss of detected intensity.
Because of his departure from the film, there was tabloid speculation that he and Chow had strong differences over the film, resulting in their separation.
Because they were taken from PAL-based transfers, without correction, these releases exhibit the so-called " 576i speedup " effect in which the soundtrack plays 4 % too fast resulting in the pitch being a half-step higher than it was originally ( see PAL and Telecine for more information ).
Because of Montecito's proximity to the ocean, onshore breezes significantly moderate temperatures, resulting in warmer winters and cooler summers compared with places further inland.
Because of the city's proximity to the ocean, onshore breezes significantly moderate temperatures, resulting in warmer winters and cooler summers compared with places farther inland.
Because of the rapid industrial growth in Germany and the daily tides, two citizens of Hendrik-Ido-Ambacht started a ship breaking yard which grew into an industry resulting in the town becoming worldwide known as the " ship breaking village ".

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