Some years ago Julian Huxley proposed to an audience made up of members of the British Association for the Advancement of Science that `` man's supernormal or extra-sensory faculties are ( now ) in the same case as were his mathematical faculties during the ice age ''.

* Artless innocents and ivory-tower sophisticates: Some personalities on the Indian mathematical scene-M. S. Raghunathan

Some modification of the Feynman rules of calculation may well outlive the elaborate mathematical structure of local canonical quantum field theory ...” So far there are no opposing opinions.

Some of the earliest ideas on how physical and mathematical processes and constraints affect biological growth, and hence natural patterns such as the spirals of phyllotaxis, were written by D ' Arcy Wentworth Thompson and Alan Turing.

Some mathematical games are topics of interest in recreational mathematics.

Some recent work has been done in analysis using concepts from non-standard analysis, particularly in investigating limiting processes of statistics and mathematical physics.

Some encryption schemes can be proven secure on the basis of the presumed difficulty of a mathematical problem, such as factoring the product of two large primes or computing discrete logarithms.

Some of the more well-known topics in recreational mathematics are mathematical chess problems, magic squares and fractals.

Some consider statistics to be a mathematical body of science pertaining to the collection, analysis, interpretation or explanation, and presentation of data, while others consider it a branch of mathematics concerned with collecting and interpreting data.

Some of the notable mathematical concepts named after Banach include Banach spaces, Banach algebras, the Banach – Tarski paradox, the Hahn – Banach theorem, the Banach – Steinhaus theorem, the Banach-Mazur game, the Banach – Alaoglu theorem and the Banach fixed-point theorem.

Some scientists think a more mathematical approach than philosophy is needed for a ToE, for instance Stephen Hawking wrote in A Brief History of Time that even if we had a ToE, it would necessarily be a set of equations.

Some derivation rules and formal languages are intended to capture mathematical reasoning ; the most common examples use first-order logic.

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

Some CAD software is capable of dynamic mathematical modeling, in which case it may be marketed as CADD.

Some mathematical theorems and axioms are referred to as laws because they provide logical foundation to empirical laws.

Some approaches are selectively realistic about some mathematical objects but not others.

Some scientists think a more mathematical approach than philosophy is needed for a TOE, for instance Stephen Hawking wrote in A Brief History of Time that even if we had a TOE, it would necessarily be a set of equations.

Some outstanding mathematical and Orientalist works emerged at this time – notably, texts edited by Edward Pococke, the Regius Professor of Hebrew – but no university press on Laud's model was possible before the Restoration of the Monarchy in 1660.

Some texts prefer a more concise mathematical syntax.

Some of these are really coded mathematical problems, expressed using the geometry and pieces of the chessboard.

Some example are: Heidi Gilpin, who translates ideas — linguistic, mathematical or scientific — into an understanding that offers a common ground that facilitates interaction between her and world-famous choreographer Forsythe.

Some, such as plant structures and coastlines, may be so arbitrary as to defy traditional mathematical description – in which case they may be analyzed by differential geometry, or as fractals.

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

Some of Bede's material came from oral traditions, including a description of the physical appearance of Paulinus of York, who had died nearly 90 years before Bede's Historia Ecclesiastica was written.

Some Islamic scholars have likened Ezekiel's mission to the description of Dhul-Kifl.

Some properties of the GCD are in fact easier to see with this description, for instance the fact that any common divisor of a and b also divides the GCD ( it divides both terms of ua + vb ).

Some legends describe it as having an elephant-like body with a long neck and tail and a small head, a description which has been suggested to be similar in appearance to that of the extinct Sauropoda, while others describe it as more closely resembling elephants, rhinoceros, and other known animals.

Some sources mention the galaxy NGC 5866 as an identification for M102, but its description does not fit with Méchain's notes.

Some ethnologists believe that " Thunderbird and Whale " is a description of that disaster.

Some images are motivated by the biography of the person depicted, but some designs just draw their motif from the poet's name ( thus, Dietmar is shown riding a mule, since his name can be interpreted as meaning people's horse ), while others draw on imagery from their lyrics ( Walther von der Vogelweide is shown in a thoughtful pose which exactly matches the description of himself in one of his most famous songs ).

Some ballet historians also use the word libretto to refer to the 15 – 40 page books which were on sale to 19th century ballet audiences in Paris and contained a very detailed description of the ballet's story, scene by scene.

Some experimental compiler-compilers take as input a formal description of programming language semantics, typically using denotational semantics.

According to Aristotle's description in Politics, " Some people thought he carried things too far, indeed, with his long hair, expensive ornaments, and the same cheap warm clothing worn winter and summer.

Some scholars believe the description is of a far later date than Moses, and that it reflects the structure of the Temple of Solomon ; others hold that the passage describes a real pre-monarchic shrine, perhaps the sanctuary at Shiloh, while traditional scholars contend that it describes an actual tabernacle used in the time of Moses and thereafter.

Some systems allow the user to search for a specific event by time of occurrence and text description, and perform statistical evaluation of operator behaviour.

Some sources say it is a corruption of the French description of the clay ( glaise ) water ( eau ), whereas others say it comes from a Native American word meaning ' fallen timbers '.

Some form critics posit conflicting descriptions of manna as derived from different lore, with the description in Numbers being from the Jahwist tradition, and the description in Exodus being from the later Priestly tradition.

Some modern historians prefer the description ' strike wave '.

Some writers dared to oppose Soviet ideology, like short story writer Varlam Shalamov and Nobel Prize winning novelist Aleksandr Solzhenitsyn, who wrote about life in the gulag camps, or Vasily Grossman, with his description of World War II events countering the Soviet official historiography.

Some critics further claim that even the description of Thomas as a " gnostic " gospel is based upon little other than the fact that it was found along with gnostic texts at Nag Hammadi.

Some scholars have proposed that the author took the list from a now-lost Old Welsh poem which listed Arthur's twelve great victories, based on the fact that some of the names appear to rhyme and the suggestion that the odd description of Arthur bearing the image of the Virgin Mary on his shoulders at Guinnion might contain a confusion of the Welsh word iscuit ( shield ) for iscuid ( shoulders ).

" Some sources state that he was the author of Summa Philosophiae, a history and description of the schools of philosophical thought then current, but the writing style is not similar to his other works, and Knowles, for one, does not believe it was authored by Kilwardby.

Some connoisseurs describe Garrafeira as having a slight taste of bacon, although many people will neither notice nor understand such a description ; the reason being that, during the second phase of maturation, certain oils may precipitate, causing a film to form across the surface of the glass that can be tasted by those who are accustomed to the difference between Garrafeira and other forms of port.

Some are intended to give the deceased mystical knowledge in the afterlife, or perhaps to identify them with the gods: for instance, Spell 17, an obscure and lengthy description of the god Atum.

Some specific variations exist, which vastly alter the strategy used from the above description.