Many mathematicians reserve the term equation exclusively for the second type, to signify an equality which is not an identity.

Many mathematicians feel that to call their area a science is to downplay the importance of its aesthetic side, and its history in the traditional seven liberal arts ; others feel that to ignore its connection to the sciences is to turn a blind eye to the fact that the interface between mathematics and its applications in science and engineering has driven much development in mathematics.

Many great mathematicians of the past were preoccupied by numerical analysis, as is obvious from the names of important algorithms like Newton's method, Lagrange interpolation polynomial, Gaussian elimination, or Euler's method.

Many mathematicians and computational theorists who study recursion theory will refer to it as computability theory.

Many working mathematicians have been mathematical realists ; they see themselves as discoverers of naturally occurring objects.

Many practising mathematicians have been drawn to their subject because of a sense of beauty they perceive in it.

Many attempted to find a proof by contradiction, including Persian mathematicians Ibn al-Haytham ( Alhazen, 11th century ), Omar Khayyám ( 12th century ) and Nasīr al-Dīn al-Tūsī ( 13th century ), and the Italian mathematician Giovanni Girolamo Saccheri ( 18th century ).

Many famous mathematicians have studied such problems, including Euler, Legendre, and Gauss.

Many famous Chinese mathematicians such like Shiing-Shen Chern and Luogeng Hua became well-known to the world from it.

Many mathematicians believe these generalizations of the Riemann hypothesis to be true.

Many biomedical physics departments today are of necessity multi-disciplinary and may include not only physicists but also engineers, mathematicians and sometimes chemists and physicians.

Many of Pell's manuscripts fell into the hands of Richard Busby, master of Westminster School, and afterwards came into the possession of the Royal Society ; they are still preserved in nearly forty folio volumes in the British Library, which contain, not only Pell's own memoirs, but much of his correspondence with the mathematicians of his time.

Many other winners of the Mathematical Olympiad became outstanding mathematicians and physicists.

Many amateur mathematicians have produced genuinely solid new mathematical results.

Many of the mathematicians, especially those of Jewish background, fled this southeastern part of Poland in 1941 when it became clear that it would be invaded by Germany.

Many of the great mathematicians since then have given attention to the various problems involved ; throughout the 18th and 19th centuries there was demand for accurate tables of the position of the Moon and planets for purposes of navigation at sea.

Many mathematicians have simplified parts of the original Feit – Thompson proof.

Many mathematicians and hobbyists search for large prime numbers.

Many prominent applied mathematicians and physicists were among the faculty at Bashkir State University at different times, including Academicians Nikolay N. Bogolyubov, Alexei F. Leontiev, Valentin V. Napalkov and Professor of Philology Gabdulkhay Kh.

Many compare mathematicians to other professions, typically physicists, engineers, or the " soft " sciences in a form similar to an Englishman, an Irishman and a Scotsman.

Many states have laws regulating the use of boat trailers and some have restrictions regarding the age of motor boat operators.

Many of them sincerely believe that the use of liquor in any form or in any degree is intrinsically evil and sinful.

Many people use wicker cradles for old red wine, lifting the bottle carefully from the bin into the cradle and eventually to the table, without disturbing the sediment.

Many languages use modified forms of the Latin alphabet, with additional letters formed using diacritical marks.

Many amateurs use online tools to plan their nightly observing sessions using tools such as the Clear Sky Chart.

Many contemporary Pueblo peoples object to the use of the term Anasazi, although there is still controversy among them on a native alternative.

Many British publications have gradually done away with the use of periods in abbreviations.

Many parents use a collection of simplified or ad hoc signs called " baby sign.

Many countries, including some US states, also permit the use of less severe corporal punishment for children in school.

Many such are localised, and do not form part of general Australian use, while others, such as kangaroo, boomerang, budgerigar, wallaby and so on have become international.

Many of Canberra's suburbs are named after former Prime Ministers, famous Australians, early settlers, or use Aboriginal words for their title.

Many ironclads were built to make use of the ram or the torpedo, which a number of naval designers considered the crucial weapons of naval combat.

Many were in common use, but had become unacceptable in normal discourse before the end of the twentieth century.

Many drugs produce an antidepressant effect, but restrictions on their use have caused controversy and off-label prescription is a risk, despite claims of superior efficacy.

Many dual system television receivers, equipped to receive both analog transmissions and digital transmissions have analog tuner ( television ) receiving capability and must use a television antenna.

Many areas average of rain per week, and these can use a cistern as small as.

Many autonomous homes can reduce water use below per person per day, so that in a drought a month of water can be delivered inexpensively via truck.

Many coal-burning power stations use flue-gas desulfurization ( FGD ) to remove sulfur-containing gases from their stack gases.

Many types of applications use variables representable in eight or fewer bits, and processor designers optimize for this common usage.

Many players, however, prefer to use replacement grips as the final layer.

Many players use a backhand hitting action for returning smashes on both the forehand and backhand sides, because backhands are more effective than forehands at covering smashes directed to the body.

Many of those that have been properly examined show that they continued in use for many centuries, although the interiors were often modified and changed, and they underwent many phases of habitation and abandonment.

Many Internet sites use information and images from the CIA World Factbook.

Many later CPU designs use similar mixed bit width, especially when the processor is meant for general-purpose usage where a reasonable balance of integer and floating point capability is required.

Many printer drivers do not use the text mode at all, even if the printer is capable of it.