Help


[permalink] [id link]
+
Page "Algebra over a field" ¶ 4
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

Note and while
Note, however, that currying, while similar, is not the same operation as partial function application.
Note: Step ( in the description below ) is defined as: a transfer / change of weight to the opposite foot while hopping ( this is usually minimal ; almost more of a scoot than a literal hop ).
Note that this brain-in-a-vat argument conflates cyberspace with reality, while the more common descriptions of cyberspace contrast it with the " real world ".
Note that while the terms demon and demonic are used in monotheistic faiths as antonyms to divine, they are in fact derived from the Greek word daimón ( δαίμων ), which itself translates as divinity.
( Note: On most location-based television shows, there will be two Assistant Location Managers that alternate episodes, allowing one to prep an upcoming episode while the other is on-set with the current one.
Note also that until well into the 20th Century, rather than an official readying the ball for scrimmage, the side entitled to the snap had complete custody of the ball and could snap it from the required spot at any time ; for instance, a tackled ball carrier might feign injury, then suddenly snap the ball while recumbent, there being no stance requirement yet.
Note also that ' br ' is an empty element in that, while it may have attributes, it can take no content and it may not have an end tag.
Methods PUT and DELETE are defined to be idempotent, meaning that multiple identical requests should have the same effect as a single request ( Note that idempotence refers to the state of the system after the request has completed, so while the action the server takes ( e. g. deleting a record ) or the response code it returns may be different on subsequent requests, the system state will be the same every time ).
Note that is positive while is negative ; in any reversible work-extracting process, entropy is overall not increased, but rather is moved from a hot ( high-entropy ) system to a cold ( low-entropy one ), decreasing the entropy of the heat source and increasing that of the heat sink.
Note that during the sort, the largest element is at the root of the heap at a, while at the end of the sort, the largest element is in a.
Note that the bilinearity and alternating properties imply anticommutativity, i. e., for all elements x, y in, while anticommutativity only implies the alternating property if the field's characteristic is not 2.
Note that while such perfect price discrimination is still a theoretical construct, it is becoming increasingly real with advances of information technology and micromarketing.
( Note that while Mercury does allow impure functionality, it is not necessary in most software, and serves primarily as a way of calling foreign language code.
Note that while the associations indicated between the concepts in each item in that list is very strong, it is not absolute.
Note that some of these tasks have direct real-world applications, while others more commonly serve as subtasks that are used to aid in solving larger tasks.
Note that that while bound orbits around a point mass or around a spherical body with an Newtonian gravitational field are closed ellipses, which repeat the same path exactly and indefinitely, any non-spherical or non-Newtonian effects ( as caused, for example, by the slight oblateness of the Earth, or by relativistic effects, changing the gravitational field's behavior with distance ) will cause the orbit's shape to depart from the closed ellipses characteristic of Newtonian two-body motion.
Note: while the 741 was historically used in audio and other sensitive equipment, such use is now rare because of the improved noise performance of more modern op-amps.
Note the intersection of the two circles — the distinction between short a, i and u is made by both speakers, but Arabic lacks the mid articulation of short vowels, while Hebrew lacks the distinction of vowel length.
( Note: Astronomy should not be confused with astrology, which assumes that people's destiny and human affairs in general are correlated to the apparent positions of astronomical objects in the sky -- although the two fields share a common origin, they are quite different ; astronomers embrace the scientific method, while astrologers do not.
Note that only the step of substrate unfolding requires energy from ATP hydrolysis, while ATP-binding alone can support all the other steps required for protein degradation ( e. g., complex assembly, gate opening, translocation, and proteolysis ).
Note that while Nashville received only 26 % of the votes and was significantly behind Memphis in the first round, it won the election by winning the second round.
( Note that six of the squares only share vertices with the triangles while the other twelve share an edge.
Note that while most compilers will not output a binary given a compile-time error some do ;
Note that the power injected by the torque depends only on the instantaneous angular speed – not on whether the angular speed increases, decreases, or remains constant while the torque is being applied ( this is equivalent to the linear case where the power injected by a force depends only on the instantaneous speed – not on the resulting acceleration, if any ).
Note that the flatter-bottomed karahi ( right ) is sitting on an ordinary burner cover, while the round-bottomed wok is balanced on a wok-ring

Note and some
Note that the mass scale is one to two orders of magnitude greater than some previously used ; ;
Note that it is often rational to improve a system in an order that is " non-optimal " in this sense, given that some improvements are more difficult or consuming of development time than others.
( Note that prior to the 1995 renovations, some of these houses, particularly North and Caven, ' traditionally ' sat elsewhere )
: Note: Individual casinos may pay some of these bets at different payout ratios than those listed below.
Note: it is reported in the scientific literature that some " shock " features, such as small shatter cones, which are often reported as being associated only with impact events, have been found in terrestrial volcanic ejecta.
Note that outside of the US military and some US government agencies, including the Internal Revenue Service, this format is usually referred to as " ordinal date ", rather than " Julian date "
Note: There is some confusion about the term ' compression ratio ', particularly outside academia and commerce.
Note that congruences alter some properties, such as location and orientation, but leave others unchanged, like distance and angle s. The latter sort of properties are called invariant ( mathematics ) | invariant s and studying them is the essence of geometry.
Note: The all or none principle is met when all patients died before the Rx became available, but some now survive on it ; or when some patients died before the Rx became available, but none now die on it.
Note that reflection by a window is from the front side as well as the back side, and that some of the light bounces back and forth a number of times between the two sides.
Note that not all worlds have the same objects: some objects exist in some worlds and not in others.
Note that a grid network is not the same as a grid computer ( or computational grid ) ( even though the nodes in a grid network are usually computers, and grid computing obviously requires some kind of computer network to interconnect the computers ).
The Village Gate, the Village Vanguard and The Blue Note ( since 1981 ), hosted some of the biggest names in jazz on a regular basis.
( Note: Revenue collected from Karachi includes revenue from some other areas since the Large Tax Unit ( LTU ) Karachi and Regional Tax Offices ( RTOs ) Karachi, Hyderabad, Sukkur & Quetta cover the entire province of Sindh and Balochistan ).
Note that these arguments may indeed have validity, but they require some independent justification of the connection between their terms: otherwise the argument ( as a logical tool ) remains fallacious.
Note: These totals include some foreign-owned ships registered here as a flag of convenience: Denmark 13 ( 2002 est.
Note: The name of the book appears next to some author references.
Note that some metres have an overall rhythmic pattern to the line that cannot easily be described using feet.
Note that some languages have more such ambiguity than others.
Note that most of these verses do not distinguish between the conditional election ( Arminian ) and unconditional election ( Calvinist ), but are simply evidence of some type of election.
After some time spent inactive, he was asked to play the famous Half Note in New York City in 1971 by guitarist Jim Hall.
Note that the set-theoretic union, in some contexts closely related to logical disjunction ( or ), is used here for sets of statements in such a way that it is more related to logical conjunction ( and ).

1.132 seconds.