Given that a natural language such as English contains, at any given time, a finite number of words, any comprehensive list of definitions must either be circular or rely upon primitive notions.

A union type definition will specify which of a number of permitted primitive types may be stored in its instances, e. g. " float or long integer ".

Most fighters up to this point had one engine but a number of twin engined fighters were built, however they were found defenseless against single engine fighters and were relegated to other tasks, some becoming night fighters, fitted with very primitive radar sets.

* Peano arithmetic, the successor function and the number zero are primitive notions.

Most of the functions normally studied in number theory are primitive recursive.

The number e is called an index or Gödel number for the function f. A consequence of this result is that any μ-recursive function can be defined using a single instance of the μ operator applied to a ( total ) primitive recursive function.

" He writes, " Magic supplies primitive man with a number of ready-made rituals, acts and beliefs, with a definite mental and practical technique which serves to bridge over the dangerous gaps in every important pursuit or critical situation.

The greatest number of primitive species reside in the Andean highlands of South America where they originated in the tepuis of the Guyana Shield.

The feedback tap numbers in white correspond to a primitive polynomial in the table so the register cycles through the maximum number of 65535 states excluding the all-zeroes state.

By extrapolating the phenomenology of lattice points to the unit cells it is seen that the total number of degrees of freedom is 3pq when p is the number of primitive cells with q atoms / unit cell.

From these ideas, it can be concluded that increasing crystal complexity, which is described by a complexity factor CF ( defined as the number of atoms / primitive unit cell ), decreases λ < sub > L </ sub >.

Proving successful at hunting, the group caught 26 arctic foxes in primitive traps, as well as killing a number of polar bears.

A number of improvements were also made to ENIAC after 1948, including a primitive read-only stored programming mechanism using the Function Tables as program ROM, an idea included in ENIAC patent and proposed independently by Dr. Richard Clippinger of the BRL.

The primitive functions car (" Contents of Address part of Register number ") and cdr (" Contents of Decrement part of Register number ") were named after these fields.

Both families share a number of primitive characteristics.

Systems explored in the book include cellular automata in one, two, and three dimensions ; mobile automata ; Turing machines in 1 and 2 dimensions ; several varieties of substitution and network systems ; primitive recursive functions ; nested recursive functions ; combinators ; tag systems ; register machines ; reversal-addition ; and a number of other systems.

Let K be a number field ( i. e., a finite extension of ), in other words, for some by the primitive element theorem.

In his essay on number, for example, Zerzan starts by contrasting the " civilized " emphasis on counting and measuring with a " primitive " emphasis on sharing, citing Dorothy Lee's work on the Trobriand Islanders in support, before constructing a narrative of the rise of number through cumulative stages of state domination, starting with the desire of Egyptian kings to measure what they ruled.

He also produced a number of satirical paintings under the pseudonym of " Mr. Otis ," in a style he called " primitive modern.

( This implies that if n is a prime number, all the roots except + 1 are primitive ).

The conventional symbol Z comes from the German word meaning number / numeral / figure, which prior to the modern synthesis of ideas from chemistry and physics, merely denoted an element's numerical place in the periodic table.

These ideas were found in a number of Kabbalistic works from the 13th century, and also among many mystics in the late 16th century.

Nevertheless, he admits, humans and animals differ in mental faculties in a number of ways, including: differences in memory and attention, inferential abilities, ability to make deductions in a long chain, ability to grasp ideas more or less clearly, the human capacity to worry about conflating unrelated circumstances, a sagely prudence which arrests generalizations, a capacity for a greater inner library of analogies to reason with, an ability to detach oneself and scrap one's own biases, and an ability to converse through language ( and thus gain from the experience of others ' testimonies ).

Jobs ' earlier question to Sidhu had already sparked a number of ideas.

Participants base their criticisms on a number of related ideas.

Around the world today are a number of banks, companies, charities, and schools for developing co-operative forms of business using Steiner's ideas about economic associations, aiming at harmonious and socially responsible roles in the world economy.

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.

While he supported the idea of government by an all-powerful sage, ruling as an Emperor, his ideas contained a number of elements to limit the power of rulers.

Although Wegener's theory was formed independently and was more complete than those of his predecessors, Wegener later credited a number of past authors with similar ideas:

The Langlands program is a far-reaching web of these ideas of ' unifying conjectures ' that link different subfields of mathematics, e. g. number theory and representation theory of Lie groups ; some of these conjectures have since been proved.

The Moonstone contains a number of ideas that have established in the genre several classic features of the 20th century detective story:

[...] A linguistic system is a series of differences of sound combined with a series of differences of ideas ; but the pairing of a certain number of acoustical signs with as many cuts made from the mass thought engenders a system of values.

There have been a number of times when alternative theological ideas arose to challenge the Orthodox faith.

A number of business ideas, such as soap making, wholefood retailing, aquarium maintenance, and hotel operation have been identified as suitable for adoption by social firms employing disabled and disadvantaged people.

The GPS project was developed in 1973 to overcome the limitations of previous navigation systems, integrating ideas from several predecessors, including a number of classified engineering design studies from the 1960s.

The execution of a number of Protestant preachers, most notably the Lutheran influenced Patrick Hamilton in 1528 and later the proto-Calvinist George Wishart in 1546 who was burnt at the stake in St. Andrews by Cardinal Beaton for heresy, did nothing to stem the growth of these ideas.

A number of artifacts from the Upper Paleolithic ( 50, 000-13, 000 ) are generally interpreted by scientists as representing religious ideas.

The ideas on the zone of development were later developed in a number of psychological and educational theories and practices.

A number of ideas from the International Prize Court can be seen in present day international courts, such as its provision for judges ad hoc, later adopted in the Permanent Court of International Justice and the subsequent International Court of Justice.

They also, over the next several months, combined what they considered the best ideas from other gunsmiths with a number of their own ideas to design a distinct bolt action for their rifle.

The taste in musicals revived again in 1933 when director Busby Berkeley began to enhance the traditional dance number with ideas drawn from the drill precision he had experienced as a soldier during the First World War.

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.

A number of speculative ideas have appeared that attempt to explain the relationship between time and eternity, which have bearing on the subject of predestination.