Although Richard Feynman noted that a simplistic interpretation of the relativistic Dirac equation runs into problems with electron orbitals at Z > 1 / α = 137, suggesting that neutral atoms cannot exist beyond untriseptium, and that a periodic table of elements based on electron orbitals therefore breaks down at this point, a more rigorous analysis calculates the limit to be Z ≈ 173, but also that this limit would not actually spell the end of the periodic table.

Although α receptors are less sensitive to epinephrine, when activated, they override the vasodilation mediated by β-adrenoreceptors.

Although the focus for phototransduction is on T < sub > α </ sub >, T < sub > βγ </ sub > is crucial for rhodopsin to bind to transducin.

Although the traditional mechanism involves activation of PDE by GTP-bound T < sub > α </ sub >, GDP-bound T < sub > α </ sub > has also been demonstrated to have the ability to activate PDE.

Although Chernenko had called for renewed détente with the West, little progress was made towards closing the rift in East − West relations during his rule.

Although not published in Merlin, American writer Terry Southern, who lived in Paris from 1948 − 1952, became a close friend of both Trocchi and his colleague Richard Seaver, and the three later co-edited the anthology Writers In Revolt ( 1962 ).

Although in the extreme cases of perfect rank correlation the two coefficients are both equal ( being both + 1 or both − 1 ) this is not in general so, and values of the two coefficients cannot meaningfully be compared.

Although the physical Earth has excursions of + 8, 000 m ( Mount Everest ) and − 11, 000 m ( Mariana Trench ), the geoid's total variation is less than 200 m (− 106 to + 85 m ) compared to a perfect mathematical ellipsoid.

Although the project was subsequently marred by financial problems − a result of the pioneering nature of the venture − the Concert for Bangladesh is recognised as a highly successful and influential humanitarian aid project, generating both awareness and considerable funds as well as providing valuable lessons and inspiration for aid projects that followed, notably Live Aid.

Although Beta Crucis, " Becrux ", is at roughly − 60 ° declination, and therefore not visible north of 30 °, in the time of the ancient Greeks and Romans it was visible north of 40 ° due to the precession of equinoxes, and these civilizations regarded it as part of the constellation Centaurus.

Although it is necessary for n to be prime for 2 < sup > n </ sup > − 1 to be a Mersenne prime, the converse is not true: 2 < sup > 11 </ sup > − 1 = 2047 which is 23 × 89.

Although this image only shows the integers from − 9 to 9, the line includes all real numbers, continuing forever in each direction, and also numbers not marked that are between the integers.

Although a subtropical species, the Kei apple is able to survive temperatures as low as − 6 ° C.

Although the most efficient known integer factorization methods do not depend on the size of the prime factors of q − 1, this is nonetheless considered important in cryptography: for instance, the ANSI X9. 31 standard mandates that strong primes ( not safe primes ) be used for RSA moduli.

Although not common in horticulture, its color, size, and moderate hardiness ( down to 0 ° F or − 18 ° C ) make it a good alternative to other types of yuccas.

Azo dyes: The structure of azo dyes is based on azobenzene, Ph-N = N − Ph ( see image on right showing cis / trans isomers ) Although azo dyes are a separate class of dyestuff mainly used In the dyeing of cotton ( cellulose ) fibers, many acid dyes have a similar structure, and most are red in color.

Although no drugs act exclusively on the hypothalamus or a part of it, there is sufficient specificity to distinguish drugs which shift the hypothalamic balance to the sympathetic side from those which produce a parasympathetic dominance.

Although ataxia is not present with all cerebellar lesions, many conditions affecting the cerebellum do produce ataxia.

Although loomed pieces are typically rectangular, it is possible to increase and decrease to produce angular or curvy shapes.

Although Confucius claimed that he never invented anything but was only transmitting ancient knowledge ( see Analects VII, 1 ), he did produce a number of new ideas.

Although they are the most well known for their small, piston-powered aircraft, they also produce business jets.

Although a concubine could produce heirs, her children would be inferior in social status to " legitimate " children.

Although first introduced by Hebert Candies in 1955, Mars, Incorporated was the first to produce white chocolate within the United States.

Although many different processes might produce the general form of a black body spectrum, no model other than the Big Bang has yet explained the fluctuations.

Although its use has been mainly associated within the high-vacuum range ( down to 10 < sup >− 9 </ sup > mbar ), diffusion pumps today can produce pressures approaching 10 < sup >− 10 </ sup > mbar when properly used with modern fluids and accessories.

Although the " printer " is here referred to as such, its primary purpose is to produce stereotype plates for use in printing presses ; Babbage's intention being that the Engine's results be conveyed directly to mass printing.

Although such material could be worked at low temperatures to produce the striated Damascene pattern of intermixed ferrite and cementite bands in a manner identical to pattern-welded Damascus steel, any heat treatment sufficient to dissolve the carbides would permanently destroy the pattern.

Although sunlight is free and abundant, solar electricity is still usually more expensive to produce than large-scale mechanically generated power due to the cost of the panels.

Although Haeckel stressed comparative embryology and Gegenbaur promoted the comparison of adult structures, both believed that the two methods could work in conjunction to produce the goal of evolutionary morphology.

Although grape brandy is most commonly added to produce fortified wines, the additional alcohol may also be neutral spirit that has been distilled from grapes, grain, sugar beets, or sugarcane.

Although, strictly speaking, he did not establish slavery, he imposed a semi-feudal system, fumage, in which every able man was required to work in plantations ( similar to Latifundios ) to produce goods for the fledging country.

Although it is difficult to produce a clear definition of Internet slang, the following types of slang may be observed.

Although simple to produce, AI-dependent results are unpredictable, thus complicating the realization of a preconceived film script.

Although Confucius claimed that he never invented anything but was only transmitting ancient knowledge ( see Analects VII, 1 ), he did produce a number of new ideas.

Although de Marignac was able to produce tantalum-free niobium on a larger scale by 1866, it was not until the early 20th century that niobium was first used commercially, in incandescent lamp filaments.

Although the many forms of life on earth use a range of different nutrients, almost all aerobic organisms carry out oxidative phosphorylation to produce ATP, the molecule that supplies energy to metabolism.

Although Greenberg did not produce an explicit argument for monogenesis, all of his classification work was geared toward this end.

Although encountering the flaw was extremely rare in practice ( Byte magazine estimated that 1 in 9 billion floating point divides with random parameters would produce inaccurate results ),< ref > both the flaw and Intel's initial handling of the matter were heavily criticized.

Although Hodge's suggestion that Mount Multnomah is a supervolcano was rejected long ago, the term " supervolcano " was popularised by the BBC popular science television program Horizon in 2000 to refer to eruptions that produce extremely large amounts of ejecta.

Although the 32X could theoretically produce sound on par with the SNES, the difficulty of programming the sound system combined with the generally rushed nature of most 32X games meant that the system's improved audio capabilities mostly went unused.

Although federal and city narcotic agents sometimes worked together, Sokol continued, rivalries developed when they were `` aiming at the same criminals ''.

Although it had at first been somewhat established in many colonies, in 1861 it was ruled that, except where specifically established, the Church of England had just the same legal position as any other church.

Although Acorn were able to shrink substantially the same functionality as the BBC into just one chip, manufacturing problems meant that very few machines were available for the Christmas period — to the extent that some shops reported eight presales for every delivered machine.

Although this produced a mode 7 that barely impacted upon CPU performance and gave the same visual quality as the BBC Micro, it remained compatible only with software that used the ROM routines for outputting text and graphics and still used 10 kB of memory for the display.

Although a number of different broadcast television systems were in use worldwide, the same principles of operation apply.

Although a committed Christian, she has characterised the issue as one of life and death on which her view had been the same when she was agnostic.

Although both polysaccharide classes share the same galactose-based backbone, agaropectin is heavily modified with acidic side-groups, such as sulfate and pyruvate.

Although the hard-part bearing organisms make up as little as 14 % of the community, these same organisms are found in similar proportions in other Cambrian localities.

Although the same basic components are present in all vertebrate brains, some branches of vertebrate evolution have led to substantial distortions of brain geometry, especially in the forebrain area.

Although he was aware that the Bastarnae were hardly likely to achieve the same success as Hannibal some 40 years earlier, and would most likely end up cut to pieces by the Romans, Philip hoped that the Romans would be distracted long enough to allow him to reoccupy his former possessions in Greece.

Although Douglas was always second billed under Lancaster in these films, their roles were usually more or less the same size with the exceptions of I Walk Alone, in which Douglas played a villain, and in Seven Days in May, where Douglas ' part was larger than Lancaster's but not as dramatic.

Although many assume that the biblical Mark the Cousin of Barnabas ( Colossians 4: 10 ) is the same as John Mark ( Acts 12: 12, 25 ; 13: 5, 13 ; 15: 37 ) and Mark the Evangelist, the traditionally believed author of the Gospel of Mark, according to Hippolytus of Rome, the three " Mark " s are distinct persons.

Although all the nuclei of all atoms belonging to one element will have the same number of protons, they may not necessarily have the same number of neutrons ; such atoms are termed isotopes.

Although high-end computers may be bought retail in the same manner as the common computer, they are frequently built by their owners.

Although the Three Kingdoms were reunified by the Jin Dynasty in 280, this structure was essentially the same until the Wu Hu uprising.

Although choosing two options in the same division is discouraged, it is still possible.

Although there are various paths and catalysts involved in the CNO cycles, simply speaking all these cycles have the same net result:

Although not closely related, the coyote evolved separately to fill roughly the same ecological niche in the Americas that is filled in Eurasia and Africa by the similarly sized jackals.

Although it responds to the same DOS commands, most disk utilities written prior to 1987, most notably fast loaders, are so 1541-specific that they do not work with the 1581.

Although rarely used today, it has the same status in scoring as a place kick.

Although it did not achieve the same levels of commercial success as the band's later releases ( it reached # 73 on the Billboard 200 ), it has been hailed by many fans and critics as Dream Theater's masterpiece and the band's defining album.

Although these letters are not formally published in the Doctrine and Covenants, they are still deemed to be inspired, and are dealt with in the same manner that revelations are ( that is, they must be deliberated and approved by the voting members of a World Conference ).

Although the Cantino planisphere ( 1504 ) and the Ruysch map ( 1507 ) clearly delineate the Maldive Islands, giving them the same names, they do not show any islands to the south which can be identified as the Chagos archipelago.