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Although and proof
Narayanan – AIR India Reporter 1988 Court Page No. 1381 ; 1988 Volume No. 3 SCC Court Cases Page No. 366 ; 1988 PLJR 78 – Although an affidavit may be taken as proof of the facts stated therein, the Courts have no jurisdiction to admit evidence by way of affidavit.
Although there is no proof, the name " Thomas Corbett " does appear on the list of dead and missing.
Although there is no definite proof of the date of his birth, it has been suggested by Ukrainian historian Mykhaylo Maksymovych that it is likely 27 December 1595 ( St. Theodore's day ).
Although Kronecker had conceded, Hilbert would later respond to others ' similar criticisms that " many different constructions are subsumed under one fundamental idea " — in other words ( to quote Reid ): " Through a proof of existence, Hilbert had been able to obtain a construction "; " the proof " ( i. e. the symbols on the page ) was " the object ".
Although flawed, Kempe's original purported proof of the four color theorem provided some of the basic tools later used to prove it.
Although Ernst Zermelo demonstrated less than a day later that König's proof had failed, Cantor remained shaken, even momentarily questioning God.
Although it was based on the proof methods of logic, Planner, developed at MIT, was the first language to emerge within this proceduralist paradigm 1969.
Although several of the expeditions have reported close encounters, none have been able to provide incontrovertible proof that the creature exists.
Although there is no proof Shapur I was a Manichaean, he tolerated the spread of Manicheanism and refrained from persecuting it in his empire's boundaries.
Although no definite medical proof exists, he was reputed to have been affected by Marfan syndrome.
Although little is known about this period in Rome, there is one thing that is for certain: the fact that Boniface ’ s last reign lasted eleven months without any imperial intervention is evidence of not only the weakness of the government of this time, but also is proof that despite his actions and opposition, he must have had much support.
Although it is often claimed that the photoelectric and Compton effects require a quantum description of the EM field, this is now understood to be untrue, and proper proof of the quantum nature of radiation is now taken up into modern quantum optics as in the antibunching effect.
Although BB84 does not use entanglement, Ekert's protocol uses the violation of a Bell's inequality as a proof of security.
Although the proof is necessary to produce a theorem, it is not usually considered part of the theorem.
Although the Patriarch may initially have resisted this development, as a divorce without proof of adultery on the part of the wife could be construed as illegal, he ultimately gave way.
Although some scholars equate Myra with the town Mira in Arzawa, there is no proof for the connection.
Although Allende claimed to have observed the experiment while on the Andrew Furuseth, he provided no substantiation of his other claims linking the experiment with the Unified Field Theory, no evidence of Einstein's alleged resolution of the theory, and no proof of Einstein's alleged private confession to Russell.
Although there is no aural proof, as audio recordings were not around for more than 150 years, that string players in Europe did not use vibrato, its overuse was almost universally condemned by the leading musical authorities of the day.
Although there is no significant proof or evidence, many doctors believe that it can be caused by defects in many genes.
Although the palace guard at first refused to admit John without proof of his father's wishes, the mob surrounding the new emperor simply forced entry.
Although each informal proof can, in theory, be converted into a formal proof, this is rarely done in practice.
Although his descriptions are compelling, there is as yet, no archaeological proof that this was indeed the spot where he and his army had to fight to cross.
Although there is no proof that a smooth group order will be found in the Hasse-interval, by using heuristic probabilistic methods, the Canfield-Erdős-Pomerance theorem with suitably optimized parameter choices, and the L-notation, we can expect to try L < nowiki >/ 2, √ 2 < nowiki ></ nowiki > curves before getting a smooth group order.

Although and used
Although " android " is used almost universally to refer to both sexes, and those of no particular sex, " android " technically refers to the male form, while " gynoid " is the feminine form.
Although digital setting circles can be used to display a telescope's RA and Dec coordinates, they are not simply a digital read-out of what can be seen on the telescope's analog setting circles.
Although the name actually applies to a group of snakes, it is often used to refer only to one species in particular, the common or green anaconda, Eunectes murinus, which is one of the largest snakes in the world.
Although originally controversial, the axiom of choice is now used without reservation by most mathematicians, and it is included in ZFC, the standard form of axiomatic set theory.
Although the axiom of countable choice in particular is commonly used in constructive mathematics, its use has also been questioned.
Although an explanation for the phenomenon was not provided until 1919, duralumin was one of the first " age hardening " alloys to be used, and was soon followed by many others.
Although hydrogen-like orbitals are still used as pedagogical tools, the advent of computers has made STOs preferable for atoms and diatomic molecules since combinations of STOs can replace the nodes in hydrogen-like atomic orbital.
Although Collins used it as a catharsis for her opposition to the Vietnam War, two years after her rendition, the Royal Scots Dragoon Guards, senior Scottish regiment of the British Army, recorded an instrumental version featuring a bagpipe soloist accompanied by a pipe and drum band.
Although Dio is the earliest writer to mention them, Ammianus Marcellinus used the name to refer to Germans on the Limes Germanicus in the time of Trajan's governorship of the province shortly after it was formed, circa 98 / 99.
Although the 1987 decision settled the question of the scientific name of the genus, the common name " amaryllis " continues to be used differently.
Although the term aeon may be used in reference to a period of a billion years ( especially in geology, cosmology or astronomy ), its more common usage is for any long, indefinite, period.
Although most dialects of English used in the former British Empire outside of North America and Australasia are, to various extents, based on British English, most of the countries concerned have developed their own unique dialects, particularly with respect to pronunciation, idioms and vocabulary.
Although used for similar purposes, transparent colors and image masks do not permit the smooth blending of the superimposed image pixels with those of the background ( only whole image pixels or whole background pixels allowed ).
Although cheap and effective in enabling use of some software that only used official ROM entry points for text output, this solution proved very slow because the Electron had to be placed into an 80-byte-pitch display to be able to get anywhere near to reproducing mode 7 and the CPU spent a lot of time drawing approximations of mode 7 characters and graphics that in a hardware solution would be achieved without any CPU processing.
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 used during the Normandy landings, by that point German aircraft were contained by the Allies own air forces and they were largely unneeded.
Although modern analytical chemistry is dominated by sophisticated instrumentation, the roots of analytical chemistry and some of the principles used in modern instruments are from traditional techniques many of which are still used today.
Although he used the usual French terms " avant J .- C ." ( before Jesus Christ ) and " après J .- C ." ( after Jesus Christ ) to label years elsewhere in his book, the Byzantine historian Venance Grumel used negative years ( identified by a minus sign, −) to label BC years and unsigned positive years to label AD years in a table, possibly to save space, without a year 0 between them.
Although a wide variety of graphite tube designs have been used over the years, the dimensions nowadays are typically 20 – 25 mm in length and 5 – 6 mm inner diameter.
Although these instruments have slow response time and low accuracy, they were sometimes used in measuring radio-frequency current.
Although his paper was widely cited, a random selection of 60 of these citations revealed that 29 of the papers were direct rebuttals or criticisms of Jensen's arguments, 8 cited the paper as an " example of controversy ," 8 used it as a background reference.
Although this document was subsequently adopted by International Organization for Standardization ( ISO ) and subsequent revisions published by ISO have been adopted by ANSI, the name ANSI C ( rather than ISO C ) is still more widely used.

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