For the periodical NullHypothesis The Journal of Unlikely Science The practice of science involves formulating ... false using a test of observed data. The nullhypothesis typically corresponds to a general or default position. For example, the nullhypothesis might be that there is no relationship between two ... title nullhypothesis definition publisher Businessdictionary.com date accessdate 2010 07 29 ref ... cite web url http statistics.berkeley.edu stark SticiGui Text gloss.htm nullhypothesis title Glossary ... R. A. Fisher, The Design of Experiments ii. 19, We may speak of this hypothesis as the nullhypothesis , and it should be noted that the nullhypothesis is never proved or established, but is possibly ... negation of the nullhypothesis it predicts the results from the experiment if the alternative hypothesis ... standard. It is important to understand that the nullhypothesis can never be proven . A set of data can only reject a nullhypothesis or fail to reject it . For example, if comparison of two groups ... to reject the nullhypothesis in other words, the experiment fails to reject the nullhypothesis . ref cite web url http stattrek.com Lesson5 HypothesisTesting.aspx title Can We Accept the NullHypothesis ... rejects the nullhypothesis concluding it probably is false. If the data do not contradict the null ... no strong evidence against the nullhypothesis. As the nullhypothesis could be true or false, in this case ... hypothesis is rejected. Choice of H sub 0 sub The choice of nullhypothesis H sub 0 sub and consideration ... coin is fair i.e. that on average it lands heads up 50 of the time . A potential nullhypothesis is this coin .... A possible result of 5 tosses is 5 heads. Under this nullhypothesis, the data are considered unlikely with a fair coin, the probability of this is 3 . The data refute the nullhypothesis the coin is biased. Alternatively, the nullhypothesis, this coin is fair allows runs of tails as well as heads ... significant, preserving the nullhypothesis. ref The example data set demonstrates the point, but is actually ... more details
Infobox Magazine cover Deleted image removed Image Cover april.jpg thumb center NullHypothesis cover, April 2006 category Science Satire and Information website http www.null hypothesis.co.uk publisher NullHypothesis Ltd country England firstdate 2004 issn 1745 767X NullHypothesis The Journal of Unlikely Science is an online Satire satirical science website , which casts a wry eye over the world of science and technology. Dubbed the Private Eye of science by the Daily Telegraph , it was started in 2004 in Bristol University by three bored postgraduate student s disillusioned by the grind of publishing Academic publishing papers in academia. The three behind the idea, David Hall, Andrew Impey and Mark Steer, all have biology backgrounds, although the website covers all topics from mathematics and chemistry to social science and philosophy ref http news.bbc.co.uk 2 hi science nature 6565517.stm BBC Online NullHypothesis a web hit ref . The predominant focus of the website is to provide science information and entertainment in a light hearted and non exclusive way. To this end it publishes articles on latest science news, things which are strange but true, factual information and the occasional spoof story. The public is encouraged to contribute. Contributed articles have included why toast landing butter side down is proof of a God and whether bungee jumping makes your eyes pop out and if too many cooks do spoil the broth. The team s solution to the global warming debate drew a good deal of media exposure in March 2007. ref http www.theregister.co.uk 2007 03 01 boffins climate wibble The Register Hold your breath, save the planet ref Mixed in with nuggets of the bizarre are current news stories from around the world, features on items in the news and commentary on day to day science. The print version of the magazine ceased publication in May 2006, but it has continued ... links http www.null hypothesis.co.uk NullHypothesis website Category British satirical magazines Category ... more details
selfref For the kind of edit on Wikipedia, see Null edit . Wiktionary Null may refer to In computing Null SQL , a special marker and keyword in SQL Null character , the zero valued ASCII character, also designated by tt NUL tt , often used as a terminator, separator or filler Null device , a special computer file that discards all data written to it Null modem , a specially wired serial communications cable Null object pattern , a software design pattern using an object with defined neutral behavior Null pointer sometimes written code NULL code , used in computer programming for an uninitialized, undefined, empty, or meaningless value Null string , the unique string of length zero in computer science and formal language theory Null terminated string , a character string of which the length is determined by the first null character in programming language C and related languages Nullable type ... value NULL In art KK Null , a Japanese musician Null, an identity of the character List ... Null, man eating sentients in the Downs Lord Triptich books by John Whitbourn Null, the Living Darkness ... ReBoot In mathematics Null mathematics , a zero value in several branches of mathematics Null set , a set that is negligible in some sense Also an older term for the empty set In science Null allele genetics Null cipher , a ciphertext symbol Nullhypothesis , a concept in statistical hypothesis testing Null morpheme , a concept in linguistics Null radio , a concept in electromagnetism Null result ... Tangent vectors Null vectors or curves in the causal structure of a Lorentzian manifold such as a Minkowski space time People Christopher Null , American film critic Eduard van der N ll , Austrian architect Gary Null , American radio host and author on alternative medicine Keith Null , American football player KK Null , Japanese experimental multi instrumentalist musician Other Null and void , having no legal validity The Null Corporation , the current imprint for Nine Inch Nails Null A , a term ... more details
Unreferenced date January 2007 In statistical hypothesis testing , the null distribution is the probability distribution of the test statistic when the nullhypothesis is true. In an F test , the null distribution is an F distribution . DEFAULTSORT Null Distribution Category Statistical inference Category Probability distributions Category Statistical terminology Statistics stub ko ... more details
Other uses Null disambiguation In mathematics , the word null from German language German null , which is from Latin nullus , both meaning zero , or none ref name oed cite journal title null journal The Oxford English Dictionary , Draft Revision March 2004 url http dictionary.oed.com year 2004 accessdate 2007 04 05 ref means of or related to having Empty set zero members in a set or a value of zero . Sometimes the symbol is used to distinguish null from 0 . In a norm mathematics normed vector space the null vector vector space null vector is the zero vector in a norm mathematics seminormed vector space such as Minkowski space Causal structure Minkowski space , null vectors are, in general, non zero. In set theory , the empty set null set is the set with zero elements and in measure theory , a null set is a set with zero measure. A function mathematics mathematical mapping is said to be null potent or nilpotent if repeated application can map the whole domain into the null element. A null space of a mapping is the part of the domain that is mapped into the null element of the image the inverse image of the null element . In statistics , a nullhypothesis is a proposition presumed true unless statistical evidence indicates otherwise. References references Category Mathematical objects Category Nothing ... more details
In science , a null result is a result without the expected content that is, the proposed result is absent. ref cite journal first C. last Giunti last2 et al. title New ordering principle for the classical statistical analysis of Poisson processes with background journal Physical Review Phys. Rev. D volume 59 issue 5 pages 053001 year 1999 doi 10.1103 PhysRevD.59.053001 ref It is an experimental outcome which does not show an otherwise expected effect. This does not imply a result of zero or nothing, simply a result that does not support the hypothesis . The term is a translation of the scientific Latin nullus resultarum , meaning no consequence . In statistical hypothesis testing , a null result occurs when an experimental result is not significantly different from what is to be expected under the nullhypothesis . While some effect may in fact be observed, its probability under the nullhypothesis does not exceed the significance level , i.e., the threshold set prior to testing for rejection of the nullhypothesis. The significance level varies, but is often set at 0.05 5 . As an example in physics , the results of the Michelson Morley experiment were of this type, as it did not detect the expected velocity relative to the postulated luminiferous aether . This experiment s famous failed detection, commonly referred to as the null result , contributed to the development of special relativity . Note that the MMX did in fact appear to measure a non zero drift , but the value was far too small to account for the theoretically expected results it is generally thought to be inside the noise level of the experiment. ref http hsc.csu.edu.au physics core space 9 2 4 924net.html net4 Role of the Michelson Morley experiments in making determinations about competing theories ref References reflist Medical research studies Category Design of experiments Category Logic and statistics Category Nothing ... more details
Null symbol may refer to Null character , U 0000 , U 2400 symbol for null , a single character glyph NUL Null sign for the empty set Null SQL in database theory , , or , for the empty string See also Null disambiguation dab ... more details
Other uses Null symbol disambiguation Null symbol In mathematics, the null sign , math varnothing math , denotes the empty set . It is derived from the Danish language Danish and Norwegian language Norwegian letter . Category Mathematical symbols ... more details
In Unix like operating system s, tt dev null tt or the null device is a special file that discards all data written to it but reports that the write operation succeeded and provides no data to any process computing process that reads from it yielding end of file EOF immediately . ref name uxman http www.opengroup.org onlinepubs 000095399 basedefs xbd chap10.html Single Unix Specification Section 10.1 ref In programmer jargon , especially Unix jargon, it may also be called the bit bucket ref http catb.org esr jargon html B bit bucket.html Jargon file entry for bit bucket ref or Black hole networking black hole . Usage The null device is typically used for disposing of unwanted input output output ... input streams. This is usually done by Redirection computing redirection . tt dev null tt is a special ... M , DOS and Microsoft Windows Windows , the tt Device Null tt or tt NUL tt of Windows NT and its successors ... , the equivalent is null. References in computer culture This entity is a common inspiration for technical ... null tt , my mail got archived in tt dev null tt , and redirect to tt dev null tt being jocular ways ... uses the phrase send donations to dev null, meaning they do not accept donations. The fictitious person name Dave or Devin Null is sometimes similarly used e.g., send complaints to Dave Null . cn date September 2011 The null device is also a favorite subject of technical jokes, such as warning users that the system s tt dev null tt is already 98 full. The April Fool s , 1995 issue of the Germany German magazine c t reported on an enhanced tt dev null tt integrated circuit chip that would efficiently ... memory References Reflist nulls DEFAULTSORT Dev Null Category Unix Category Device file Category Nothing Category File system directories ar dev null ca dev null de dev null es dev null fr dev null it dev null hu dev null nl dev null ja dev null nn dev null pl dev null pt dev null ru dev null simple dev null sk dev null sl dev null fi dev null sv dev null tr dev null zh dev null ... more details
In game theory , a null move is a decision by a player to pass that is, not to make a move when it is their turn to move. Even though null moves are against the rules of many games, they are often useful to consider when analyzing these games. Examples of this include the analysis of zugzwang in chess , and the null move heuristic in game tree analysis. Null moves are also an important element in the construction of combinatorial game theory . Category Combinatorial game theory combin stub uk ... more details
Unreferenced stub auto yes date December 2009 Orphan date December 2009 In the theory of relativity , a null surface is a 3 surface whose normal vector is everywhere null zero length with respect to the local Lorentz metric , but the vector is not identically zero. For example, light cone s are null surfaces. References James B. Hartle, Gravity an Introduction To Einstein s General Relativity . DEFAULTSORT Null Surface Category General relativity Relativity stub ... more details
date December 2008 object to the notion of a null morpheme, arguing that it sets up an unverifiable distinction between a null or zero element, and nothing at all. The null morpheme is represented as either ... linguistics hiatus and co operation. The existence of a null morpheme in a word can also be theorized ... number of English noun s is shown by a null morpheme that contrasts with the plural morpheme ... where a null morpheme indicates plurality in nouns that take on irregular plurals. sheep sheep ROOT sheep SINGULAR sheep sheep ROOT sheep PLURAL Also, a null morpheme marks the present tense ... runs run s ROOT run PRESENT 3rd SINGULAR According to some linguists view, it is also a null morpheme that turns some English adjective s into verbs of the kind of to clean, to slow, to warm . Null ... common to employ null affixation not to mark singular number, present tense and third persons English is unusual in its marking of the third person singular with a non zero morpheme, by contrast with a null morpheme for others . It is also frequent to find null affixation for the least markedness ... as null morphemes. But in some cases Root linguistics roots may also be realized as these. For instance ... radical element plus a null morpheme is not the same as an uninflected word , though usage may make those equal in practice. See also Null allomorph Ellipsis linguistics Lemma morphology Linguistics Marker linguistics Zero linguistics Covert linguistics References reflist DEFAULTSORT Null Morpheme ... more details
A null cell is a large granular lymphocyte without surface markers or membrane associated proteins from B lymphocytes or T lymphocytes . Natural killer cell s are usually null cells with surface marker CD 16 which bind to the Fc portion of the IgG, and thereby destroy it. NK cells do immune surveillance, attack pathogens and abnormal cells. members of null cells are NK cells, antigen dependent cytotoxic cells ADCC , and the lymphokine activated killer LAK cells. In 75 of the cases of ALL, the lymphocytes are neither B nor T cells and are called Null cells. External links MeshName Null cells Lymphocytes Category Cell anatomy Category Immunology stubs Category Histology cell biology stub ... more details
Other uses Null symbol disambiguation Null symbol The null character also null terminator , abbreviated ... Interchange section 5.2 quote NUL Null The all zeros character which may serve to accomplish time ... page 4.4 quote Position 0 0, Name Null, Abbreviation Nul ref It is present in many character set s, including ... A byte with all bits set to 0, called the null character , shall exist in the basic execution character ... output devices, one or more null characters were sent at the end of each printed line to allow ... tape is initially filled with null characters, and often text could be inserted at a reserved space of null characters by punching the new characters into the tape over the nulls. Today the character ... , ref A string is a contiguous sequence of characters terminated by and including the first null character ANSI ISO 9899 1990 the ANSI C standard , section 7.1.1 ref often called a null terminated string or ASCIIZ string. ref A null terminated byte string , or NTBS , is a character sequence whose highest addressed element with defined content has the value zero the terminating null character ... under null terminated string . Representation The null character is often represented as the escape ... representation code u0000 code , or code z code . A null character can be placed in a URL with code ... as null byte injection and can lead to security exploits. ref http projects.webappsec.org Null Byte Injection Null Byte Injection WASC Threat Classification Null Byte Attack section. ref In caret notation the null character is code code . On some keyboards, one can enter a null character by holding ... another key such as keypress 2 or keypress P . It is also common to be able to type a null ... the null character is sometimes represented as a single em typography em width symbol containing ... representation of the null character, symbol for null , U 2400 unicode not to be confused with the actual null character, U 0000. See also Control characters References references External links http ... more details
Null in database theory . Null is a special marker used in SQL Structured Query Language SQL to indicate ... relational database model, Edgar F. Codd E. F. Codd , SQL Null serves to fulfill the requirement ... Greek omega symbol to represent Null in database theory . code NULL code is also an SQL reserved word reserved keyword used to identify the Null special marker. Null has been the focus of controversy ... into the relational model of databases. History Null was introduced by E. F. Codd as a method ... that all RDBMS support Null to indicate missing data in a two part series published in ComputerWorld ... tied to the concept of Null. The Unknown truth value is generated whenever Null is compared with any data value, or with another Null. Codd indicated in his 1990 book The Relational Model for Database Management, Version 2 that the single Null mandated by the SQL standard was inadequate, and should be replaced by two separate Null type markers to indicate the reason why data is missing. These two Null type markers are commonly referred to as A Values and I Values , representing Missing But Applicable ..., the idea of multiple Null type values has not gained widespread acceptance. Three valued logic 3VL Since Null is not a member of any data domain , it is not considered a value , but rather a marker or placeholder indicating the undefined value absence of value . Because of this, comparisons with Null ... to Null, is Unknown source lang sql SELECT 10 NULL Results in Unknown source However, certain operations on Null can return values if the value of Null is not relevant to the outcome of the operation ... circuited form source lang sql SELECT TRUE OR NULL Results in True source In this case, the fact ... with Null, so the SQL standard provides for two special Null specific comparison predicates. The code IS NULL code and code IS NOT NULL code predicates test whether data is, or is not, Null. ref name ... IEC year 2003 pages Section 8.7 null predicate nopp true ref Data typing Null is untyped in SQL, meaning ... more details
S Raphh race, and as such has an almost unlimited ability to manipulate the forces of magic. Null normally ... and durability. Null has the ability to manipulate the forces of magic for a wide variety of effects ... concussion blasts. Null is vulnerable to the mystic energies controlled by certain beings, such as the Gargoyle ... Null DEFAULTSORT Null Comics Category Comics characters introduced in 1982 Category Marvel Comics demons ... more details
infobox Book See Wikipedia WikiProject Novels or Wikipedia WikiProject Books name The Players of Null A title orig translator image image caption author A. E. van Vogt illustrator cover artist country United States language English language English series genre Science fiction novel publisher release date english release date media type pages isbn preceded by The World of Null A followed by Null A Three The Players of Null A , usually written The Players of , is a 1956 in literature 1956 science fiction novel by A. E. van Vogt originally published as a four part serial in Astounding Stories from October 1948 to January 1949 this leads to the mistaken idea that the book was published in 1948 due to the copyright notice . It incorporates concepts from the General semantics of Alfred Korzybski and refers to non Aristotelian logic . It was published in the UK under the name The Pawns of Null A . The novel is a continuation of the story of Gilbert Gosseyn from The World of Null A expanding on the galactic events which drove the interplanetary events of the earlier story. DEFAULTSORT Players of Null A Category 1956 novels Category General semantics Category Novels by A. E. van Vogt Category Sequel novels 1950s sf novel stub fr Les Joueurs du it Le pedine del Non A ro Juc torii non A ... more details
infobox Book See Wikipedia WikiProject Novels or Wikipedia WikiProject Books name Null A Three title orig translator image image caption author A. E. van Vogt illustrator cover artist country United States language English language English series genre Science fiction novel publisher release date english release date media type pages isbn preceded by The Players of Null A followed by Null A Three , usually written Three , is a 1985 science fiction novel by A. E. van Vogt . It incorporates concepts from the General semantics of Alfred Korzybski and refers to non Aristotelian logic . The novel is a continuation of the adventures of Gilbert Gosseyn from the The World of Null A 1945 and The Players of Null A 1948 . Gilbert Gosseyn wakes to find he is Gosseyn Three, in telepathic contract with Gosseyn Two. One of the spare bodies used in his reincarnation machinery was found and forced to life by the approach of an immense space fleet from another galaxy, manned by the primordial ancestors of man, gripped in an eon long war with mutants equally as old. The space fleet is ruled by an unstable youngster who seems to possess many of the same powers, including a double brain, as Gosseyn. Gosseyn must school the youth in Null A sanity, save the Earth from a cabal of gangsters and businessmen who oppose the return of the Games Machine, discover the secret reasons behind the endless horrifying war, and stop the intrigues of Enro the Red to return to power. Many critics regard this as the weakest of the Null A books, and the estate authorized Null A sequel Null A Continuum ignores its events. External links isfdb title id 797 1980s sf novel stub Category 1985 novels Category General semantics Category Novels by A. E. van Vogt fr La Fin du pt Null A Tr s ro Sf r itul non A ... more details
Unreferenced date December 2009 File Sidelobes en.svg thumb Yagi Uda antenna polar pattern showing pattern of alternating lobes and nulls In radio electronics , a null is an area or Vector geometry vector in an antenna radio antenna s radiation pattern where the Signalling telecommunication signal cancels out almost entirely. This can be an advantage, as nulls in the horizontal plane can be used to protect other transmitters from Interference communication interference . If not carefully planned however, nulls can unintentionally prevent reception of a signal. Null fill in the vertical plane is used to prevent this. Also, some directional antenna s have very narrow, sharp nulls. These antennas when used for direction finding are aimed away from the signal of interest until the antenna s null is pointed at the signal, and the signal disappears. See also Minkowski space Causal structure Null vector DEFAULTSORT Null Radio Category Antennas radio ... more details
Infobox record label name The Null Corporation image image bg parent founded 2008 founder Trent Reznor status Active genre Alternative music Alternative , ref name muspace cite web url http www.myspace.com nin title MySpace nine inch nails accessdate 2008 10 18 publisher MySpace ref Rock music Rock , ref name muspace Industrial music Industrial ref name muspace country United States of America USA location Los Angeles, California url http nullco.com The Null Corporation is an independent record label ref name muspace which releases the work of Nine Inch Nails and How to Destroy Angels band How to Destroy Angels . The Nine Inch Nails albums, Ghosts I IV and The Slip album The Slip , have been released in physical formats under the Null Corporation imprint . Also, the name appears in association with Nine Inch Nails Music download digital downloads , their official YouTube channel, ref cite web url http www.youtube.com user ninofficial title YouTube ninofficial s Channel accessdate 2008 05 06 publisher YouTube ref and on their official MySpace and Facebook accounts. ref name muspace ref cite web url http www.facebook.com ninofficial title Facebook ninofficial accessdate 2008 10 18 publisher Facebook ref Releases 2008 Nine Inch Nails &ndash Ghosts I IV ref name rym cite web url http rateyourmusic.com label the null corporation title The Null Corporation accessdate 2008 05 06 publisher ... f71d083e3439.html title The Null Corporation accessdate 2008 05 06 publisher MusicBrainz ref ref name discogs cite web url http www.discogs.com label The Null Corporation title The Null Corporation accessdate ... The Social Network , also labeled Null 01 . 2011 Trent Reznor and Atticus Ross The Girl with the Dragon Tattoo soundtrack The Girl With The Dragon Tattoo , labeled Null 002 . References reflist External ... Nails es The Null Corporation fr The null corporation gl The Null Corporation lv The Null Corporation pt The Null Corporation ... more details
In Frame semantics linguistics frame semantics , a theory of linguistic meaning, null instantiation is the name of a category used to Annotation Linguistics annotate , or Tag metadata tag , absent semantic constituent s or frame element s Charles J. Fillmore Fillmore et al. 2003, Section 3.4 . Frame semantics, best exemplified by the FrameNet project, views words as evoking frames of knowledge and frames as typically involving multiple components, called frame elements e.g. buyer and goods in an acquisition . The term null refers to the fact that the frame element in question is absent. The logical object of the term instantiation refers to the frame element itself. So, null instantiation is an empty instantiation of a frame element. Definite null instantiation Definite null instantiation is the absence of a frame element that is recoverable from the context. It is similar to a Zero anaphor zero anaphor . Indefinite null instantiation Indefinite null instantiation is the absence of the object of a potentially transitive verb such as eat or drink. Constructional null instantiation Constructional null instantiation is the absence of a frame element due to a syntactic construction, e.g. the optional omission of agents in passive sentences. References Charles J. Fillmore Fillmore, Charles J. Christopher R. Johnson and Miriam R.L. Petruck 2003 Background to FrameNet. International Journal of Lexicography 16 3 235 250. Charles J. Fillmore Fillmore, Charles J. 1986 Pragmatically Controlled Zero Anaphora. Proceedings of the Twelfth Annual Meeting of the Berkeley Linguistic Society . See also Frame semantics linguistics Frame semantics Anaphora linguistics Anaphora Ellipsis linguistics Ellipsis Category Semantics ... more details
refimprove date February 2011 Cecil Allen Null April 26, 1927 August 26, 2001 was an American songwriter . ref name Surefire Music cite web url http surefiremusictn.com writers cnull.html title Surefire Music Cecil Null ref He began writing songs and singing publicly while serving in the Navy during World War II . After leaving the service, he performed with various groups on radio station s in Bristol, Virginia Bristol, Va . He wrote the song I Forgot More Than You ll Ever Know which became a hit for The Davis Sisters in 1953. Null became an expert at playing and designing autoharp s and ultimately served as a consultant for a manufacturer of the instrument. ref name Autoharp cite web url http www.cmt.com news country music 1448493 cecil null writer of i forgot more dead at 74.jhtml title Cecil Null Autoharp ref Songs Close your eyes and I ll be there ref name close your eyes cite web url http www.faqs.org copyright close your eyes and ill be there by cecil null your love title www.faqs.org Doc V2039 P4 470 & V2040 P3 665 ref Love isn t love until you give it away Cecil Null & E. C. Chance . Mother Maybelle, 1964. She s Hungry Again . Recorded by Bill Philips 1970. References Reflist Persondata NAME Null, Cecil ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH April 26, 1927 PLACE OF BIRTH DATE OF DEATH August 26, 2001 PLACE OF DEATH DEFAULTSORT Null, Cecil Category American songwriters Category 1927 births Category 2001 deaths Category Autoharp players ... more details
distinguish identity function empty function In computer science , a null function or null operator is subroutine that returns no data values and leaves the program state unchanged. When it is part of the instruction set of a central processing unit processor , it is called a NOP or NOOP No OPeration . Mathematically, a computer function f is null if and only if its execution leaves the program state s unchanged. That is, a null function is an identity function whose domain mathematics domain and codomain are both the state space S of the program, and for which f s s for all elements s in S . Less rigorous definitions may also be encountered. For example, a function may take a single operand, type conversion transform it into a new data type , and return the result. ref Example of a type conversion function labeled as a null function http www.thinkage.ca english gcos expl nsc lib 0nullf.html NULLF null function. ref While such usages bear a strong visual resemblance to identity functions, they create or alter a binary data value and thus change the program state. From a software maintainability perspective it is better to identify such minor alternations of state explicitly, since calling them null functions provides future maintainers of the code with no insights on their actual purposes. Uses Null functions have several uses. During software development , null functions with the same names and type signature s as a planned functions are often used as method stub stub s that is, as non ... prior to completion of all planned features. Null functions, particularly the NOP variety, are also ... period. A third use of null functions is as the definition of a program feature that, if created inadvertently, is almost always deleterious. Unintended null functions can arise during the development ... structures. A null function or method is often used as the default behavior of a revectorable function or overrideable method in an object framework. Notes references nulls DEFAULTSORT Null Function ... more details
Unreferenced date March 2009 For the set with no elements empty set In mathematics , a null set is a set .... In measure theory , any set of measure 0 is called a null set or simply a measure zero set . More generally, whenever an ideal set theory ideal is taken as understood, then a null set is any element of that ideal. In some elementary textbooks, null set is taken to mean empty set . The remainder of this article ... be a measure on X , and let N be a measurable set in X . If is a positive measure , then N is null or zero measure if its measure N is 0 number zero . If is not a positive measure, then N is null if N is null, where is the total variation of equivalently, if every measurable subset A of N ... null if it is a subset of a null measurable set. Some references require a null set to be measurable however, subsets of null sets are still negligible for measure theoretic purposes. When talking about null sets in Euclidean space Euclidean n space R sup n sup , it is usually understood that the measure being used is Lebesgue measure . Properties The empty set is always a null set. More generally, any countable union set theory union of null sets is null. Any measurable subset of a null set is itself a null set. Together, these facts show that the m null sets of X form a sigma ideal on X . Similarly, the measurable m null sets form a sigma ideal of the sigma algebra of measurable sets. Thus, null sets may be interpreted as negligible set s, defining a notion of almost everywhere . Lebesgue ... of Euclidean space . A subset N of R has null Lebesgue measure and is considered to be a null set in R ... to R sup n sup , all singleton mathematics 1 point set s are null, and therefore all countable set s are null. In particular, the set Q of rational number s is a null set, despite being dense topology dense in R . The Cantor set is an example of a null uncountable set in R . All the subsets of R sup n sup whose dimension is smaller than n have null Lebesgue measure in R sup n sup . For instance ... more details
Gary Michael Null born in 1945 is an United States American talk radio host and author on alternative ... and self produced movies, Null has criticized the medical community, promoted a range of alternative ... and AIDS . In 2010, Null reported that he had been poisoned and nearly killed by ingesting one of his own dietary supplements, Gary Null s Ultimate Power Meal . Null sued a contractor involved in producing ... on the label, leading to the hospitalization of Null and six other consumers with hypervitaminosis ... Null was raised in Parkersburg , West Virginia , with his two brothers. He holds an Associate Degree ... last Goetz date March 27, 2004 accessdate June 23, 2011 ref Null s thesis was entitled A Study of Psychological ... of his Ph.D. program were questioned by Stephen Barrett of Quackwatch . ref name null qw cite web ... at Gary Null s Activities and Credentials url http www.quackwatch.org 04ConsumerEducation null.html date May 12, 2010 accessdate June 23, 2011 ref Null is a New York State Certified Dietitian Nutritionist ... NY State Education Department Office of the Professions ref Viewpoints Null attacks many facets ... preventing sickness. In the 1970s, Null co authored a series of articles on cancer research for Penthouse magazine Penthouse , beginning with one entitled The Great Cancer Fraud. ref Null s articles on alternative cancer therapies in Penthouse include cite journal first Gary last Null coauthors Robert ... 78, 82, 268, 270, 272, 274, 276&ndash 278 cite journal first Gary last Null coauthors A. Pitrone title ... Penthouse year 1980 pages 97&ndash 98, 160, 162&ndash 163 cite journal first Gary last Null coauthors ...&ndash 197 ref In Penthouse , Null accused the medical community of suppressing alternative cancer ... therapy, Null advocated alternative cancer treatment s such as hydrazine sulfate . In 1999 Time magazine TIME wrote of Null s conspiracy theory conspiracy claims From a young reporter this is to be expected. But two decades later, Null, 54, is still warning of a variety of medical bogeymen out to gull ... more details
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