[permalink] [id link]
( Here, Peano Arithmetic ( PA ) is understood as the first-order theory of arithmetic with symbols of addition and multiplication, and schema of recursion.
from
Wikipedia
Some Related Sentences
Here and PA
Here is a quoted text from PA web site: “ The Press Association supplies services to every national and regional daily newspaper, major broadcasters, online publishers and a wide range of commercial organisations .” Overall, in a system where all different media organizations gather their stories from the same source, then we can ’ t really call that system pluralist.
Here, US 220 becomes a freeway for the final time at an exit with PA 199, the main north – south highway through the neighboring boroughs of Athens, Sayre, and South Waverly.
Here, PA 61 separates from the Schuylkill once more as the river heads west from the borough while PA 61 follows the Little Schuylkill River north out of town.
Here, PA 42 becomes Main Street and passes homes with a few businesses before ending at another intersection with US 220.
Here and is
Here, on the hottest day, it is cool beneath the stone and fresh from the water flowing in the sluices at the bottom of the vaults.
Here in these little rooms -- or stages arched open to the sky and river -- they choose a few lines out of the hundreds they may know and sing them according to one of the modes into which Persian music is divided.
Here, on a desk, is a stack of pamphlets representing the efforts of some of the best men of the day to penetrate these questions.
Here we may observe that at least one modern philosophy of history is built on the assumption that ideas are the primary objectives of the historian's research.
But this we know: Here is a great life that in every area of American politics gives the American people occasion for pride and that has invested the democratic process with the most decent qualities of honor, decency, and self-respect.
Here then is our problem: aircraft are vital to winning a war today because they can perform those missions which a missile is totally incapable of performing ; ;
Here is truly a `` Great Recording of the Century '', and its greatness is by no means diminished by the fact that it is not quite perfect.
Here the pulmonary vein, as in type 2,, is noted to draw away from the bronchus, and to follow a more direct, independent course to the hilum ( figs. 23, 24 ).
Here there is a specific preventive component which applies in a more generalized sense to any casework situation.
Here again, in the written language it is possible to help the reader get his stresses right by using underlining or italics, but much of the time there is simply reliance on his understanding in the light of context.
Here and understood
Here is a list of some of the most important vertebrate brain components, along with a brief description of their functions as currently understood:
: Here ‘ Judgement ’ has the same meaning as ‘ proposition ’, understood, not as a grammatical, but as an ideal unity of meaning.
Here the role and place of music needs to be interpreted through a broader framework in which tradition and ritual are understood as processes of identity and identification, as encoded and embodied forms of collective meaning and memory.
Here, when not explicitly stated, the margin of error is understood to be one-half the value of the last significant place.
Here, the warrior duo's ritual battle for possession of Creiddylad may be understood as a version of the " Holly King " myth, possibly personifying the dynamic power struggle between summer and winter.
Here R ( r, s ) signifies an integer that depends on both r and s. It is understood to represent the smallest integer for which the theorem holds.
" He is also the author of What's Right ( 1996 ) and How We Got Here ( 2000 ), a history of the 1970s, which " framed the 1970s in the shadow of World War II and Vietnam, suggesting, ' The turmoil of the 1970s should be understood ... as the rebellion of an unmilitary people against institutions and laws formed by a century of war and the preparation for war.
Here, information is understood to be instantly available for everybody at no cost and being complete.
Here, information is understood to be restricted in access, costly and often only partially available.
Here " easy " and " hard " are to be understood in the sense of computational complexity theory, specifically the theory of polynomial time problems.
Here, the Caesar title should not be understood as the minor title it had become, but as the glorious title of the emperors of the past, a connotation that had been preserved in Persian and Arabic.
Here, then, is understood to be the singular chain functor, which maps topological spaces to the category of chain complexes Comp ( or Kom ).
Here d < sub > H </ sub > denotes Hausdorff distance between subsets in M and the isometric embedding is understood in the global sense, i. e. it must preserve all distances, not only infinitesimally small ones ; for example no compact Riemannian manifold of negative sectional curvature admits such an embedding into Euclidean space.
Here, signification ( and sign ) is understood in a very general sense, that is, not simply the transfer of information from one place to another, but the generation of the very content and meaning of that information in human as well as non-human sign producers and sign receivers.
Xunzi, however, argues that " those who maintain that desires must be gotten rid of before there can be orderly government fail to consider whether desires can be guided ..." Here Xunzi asserts that if someone truly understood desires, they would not make such a contradictory statement ( desires, in Xunzi's mind, cannot be guided ).
Here he became interested in the remains of the ancient architecture of India, little known or understood at that time.
Here, the separate concepts of product-values and product-prices are regarded as essential for a theory of market dynamics and capitalist competition ; it is argued that price behaviour in aggregate cannot be understood or theorised about at all without reference to value-relations, explicitly or implicitly.
Here Nietzsche criticizes Darwin, as he frequently does, as naive and derivative of Hobbes and early English economists and without an account of life from the " inside " ( and consider in this light Darwin's own introduction to the first edition of Origin ) ( consider also Nietzsche's critique to the effect that Darwinism, as typically understood, is trading in a new version of the Providential ):
Here ' cohomology ' is usually understood as singular cohomology, but the ring structure is also present in other theories such as de Rham cohomology.
It also seemed that Informix never really understood how to market the product, and it is likely ' Not Invented Here ' played a major part in the problems as well — the purchase of Wingz and Smartware prompted Roger Sippl, one of the founders of Informix, to leave the company.
Here we have suppressed the indeterminate z, since it is understood that jets are formal polynomials.
1.501 seconds.