Some of the features of the top portions of Figure 1 and Figure 2 were mentioned in discussing Table 1.

Some cafés use plastic dome-shaped lids, while other bubble tea bars serve it using a machine to seal the top of the cup with plastic cellophane.

Some examples of Cirth writings are the inscription on Balin's tomb in Moria and the inscriptions on the top of the title pages for The Lord of the Rings.

Some countries ' top divisions feature highly paid star players ; in smaller countries and lower divisions, players may be part-timers with a second job, or amateurs.

Some of the oldest serekhs consist of a striped or cross-hatched box, representing a palace or city, with a crane, scorpion, or other animal drawn standing on top.

Some drummers even use completely mismatched hi-hats from different cymbal ranges ( Zildjian's K / Z hats ), of different manufacturers, and even of different sizes ( similar to the K Custom Session Hats where the top hat is a sixteenth of an inch smaller than the bottom ).

Some of the targets were the Kabul International Airport, Serena Hotel, Kabul City Center, Inter-Continental Hotel, UN guest house, the Presidential palace, Ministry of the Interior, Ministry of Justice, Indian Embassy, Afghan National Police stations, supermarkets, residence of Burhanuddin Rabbani and other top Afghan officials.

Some prepaid card companies allow accounts to be recharged online manually or automatically via a method called auto-top-up. Roots Tel is one of the top companies providing the Virtual Phone Cards.

Some quilters draw the quilting design on the quilt top before stitching, while others prefer to stitch " freehand.

Some divers instead connect their backup regulator to a smaller " pony cylinder " for extra safety, and there are also emergency systems which mount a simple regulator directly to the top of a small cylinder.

Some also pointed out that Ken Anderson was an established 11-year veteran who had just finished the best season of his career, while the young Montana was only just starting to emerge as a top notch quarterback.

Some debris from the aircraft were recovered nearby, including landing gear found on top of a building on the corner of West Broadway and Park Place, an engine found at Church & Murray Street, and a section of the fuselage landed on top of 5 World Trade Center.

Some tubes had an electrode terminating at a top cap which reduced interelectrode capacitance to improve high-frequency performance, kept a possibly very high plate voltage away from lower voltages, and could accommodate one more electrode than allowed by the base.

Some people believe that although Torricelli's experiment was crucial, it was Blaise Pascal's experiments that proved the top space really contained vacuum.

Some finalist stories not considered among the top three ( in effect, the fourth or fifth placers ) may be included in the annual anthology.

Some aquatic turtles, such as snapping turtles and soft-shelled turtles, have eyes closer to the top of the head.

Some are straight with a " Joint " ( Sandblasted top part of stem, usually about 1 inch long, and all the way around, tapered or cone shaped, so the tapered, or " cone shaped " bowl will fit in ) some are bent to resemble a crane.

Some processes can also be used to make multipass welds, in which one weld is allowed to cool, and then another weld is performed on top of it.

Some implementations base their user threads on top of several kernel threads to benefit from multi-processor machines ( M: N model ).

Some instructions give one or both operands implicitly, such as by being stored on top of the stack or in an implicit register.

In March 1955, the group had four songs in Cash Box magazines top 50 songs: " Dim, Dim the Lights, ( I Want Some Atmosphere )", " Birth of the Boogie ", " Mambo Rock ", and " Shake, Rattle and Roll ".

Some of the artists that now top the charts are Stereo Mike, Imiskoumbria, Tus, Professional Sinnerz, Going through

Some mail-accessing programs layer their own locking on top of Maildir in an attempt to prevent this kind of problem.

Some mathematicians, especially in set theory, do not consider the sets and to be part of the relation, and therefore define a binary relation as being a subset of x, that is, just the graph.

Some of the mathematicians who were involved in the selection and presentation of the seven problems were Atiyah, Bombieri, Connes, Deligne, Fefferman, Milnor, Mumford, Wiles, and Witten.

Some even continue to this day to remain a challenge for mathematicians.

Some prominent female mathematicians are Hypatia of Alexandria ( ca.

: Some of you may have met mathematicians and wondered how they got that way.

Some notable mathematicians include Archimedes of Syracuse, Leonhard Euler, Carl Gauss, Johann Bernoulli, Jacob Bernoulli, Aryabhata, Brahmagupta, Bhaskara II, Nilakantha Somayaji, Omar Khayyám, Muhammad ibn Mūsā al-Khwārizmī, Bernhard Riemann, Gottfried Leibniz, Andrey Kolmogorov, Euclid of Alexandria, Jules Henri Poincaré, Srinivasa Ramanujan, Alexander Grothendieck, David Hilbert, Alan Turing, von Neumann, Kurt Gödel, Joseph-Louis Lagrange, Georg Cantor, William Rowan Hamilton, Carl Jacobi, Évariste Galois, Nikolay Lobachevsky, Rene Descartes, Joseph Fourier, Pierre-Simon Laplace, Alonzo Church, Nikolay Bogolyubov and Pierre de Fermat.

Some of these mathematicians were influential in arranging the Elements, that Euclid later published.

Some of the greatest physicists have also been creative mathematicians.

Some mathematicians, such as Carl Boyer, hold that Zeno's paradoxes are simply mathematical problems, for which modern calculus provides a mathematical solution.

Some mathematicians, therefore, do not recognize blackboard bold as a separate style from bold: Jean-Pierre Serre, for example, has publicly inveighed against the use of " blackboard bold " anywhere other than on a blackboard, and uses double-struck letters when writing bold on the blackboard, whereas his published works consistently use ordinary bold for the same symbols.

Some mathematicians hold opinions that amount to more nuanced versions of Platonism.

Some mathematicians independently made the related hypothesis ( sometimes incorrectly called the Chinese Hypothesis ) that p is a prime if and only if.

Some mathematicians as late as the sixteenth century continued to view halving as a separate operation, and it often continues to be treated separately in modern computer programming.

Some theories tend to focus on mathematical practice, and aim to describe and analyze the actual working of mathematicians as a social group.

Formally, Minkowski space is a four-dimensional real vector space equipped with a nondegenerate, symmetric bilinear form with signature < tt >(−,+,+,+)</ tt > ( Some may also prefer the alternative signature < tt >(+,−,−,−)</ tt >; in general, mathematicians and general relativists prefer the former while particle physicists tend to use the latter.

Some sources imply that the symbol was first used by Arabic mathematicians.

Some working mathematicians have espoused mathematical realism as they see themselves experiencing naturally-occurring objects.

Some mathematicians and scientists are critical of using closed source mathematical software such as Mathematica for mathematical proofs, because these do not provide transparency, and thus are not verifiable.

Some mathematicians define the Hessian as the determinant of the above matrix.

On 21 November 1930 the declaration of the “ initiative group ” of the Moscow Mathematical Society which consisted of former Luzin's students Lazar Lyusternik and Lev Shnirelman along with Alexander Gelfond and Lev Pontryagin claimed that “ there appeared active counter-revolutionaries among mathematicians .” Some of these mathematicians were pointed out, including the advisor of Luzin, Dmitri Egorov.

Some mathematicians and historians have wrongfully claimed that Lobachevsky in his studies in non-Euclidean geometry was influenced by Gauss, which is untrue-Gauss himself appreciated Lobachevsky's published works very highly, but they never had personal correspondence between them prior to the publication.

Some jokes are based on stereotypes of mathematicians tending to think in complicated, abstract terms, causing them to lose touch with the " real world ".

Some mathematicians objected to his methods of analysis founded on the infinitesimal calculus.