Important results include the Bolzano – Weierstrass and Heine – Borel theorems, the intermediate value theorem and mean value theorem, the fundamental theorem of calculus, and the monotone convergence theorem.

; Important results

Important results include evidence from genomic tiling arrays that most nucleotides are transcribed as coding transcripts, noncoding RNAs, or random transcripts, the discovery of additional transcriptional regulatory sites, further elucidation of chromatin-modifying mechanisms.

Important results of Itō calculus include the integration by parts formula and Itō's lemma, which is a change of variables formula.

Important links have been made between world-class, championship individual and team sports performance and business results.

Important results on this type of zero of an L-function were obtained in the 1930s by Carl Ludwig Siegel, from whom they take their name ( he was not the first to consider them, and they are sometimes called Landau-Siegel zeroes to acknowledge also the work of Edmund Landau ).

Important numberings are the Gödel numbering of the terms in first-order predicate calculus and numberings of the set of computable functions which can be used to apply results of computability theory on the set of computable functions itself.

Important sub-fields of information theory are source coding, channel coding, algorithmic complexity theory, algorithmic information theory, information-theoretic security, and measures of information.

Important contributions to type theory, NuPRL.

* Important publications in category theory

Important commutative rings include the coordinate ring of an algebraic variety and the ring of integers in number theory.

Important writers on urban design theory include Christopher Alexander, Peter Calthorpe, Gordon Cullen, Andres Duany, Jane Jacobs, Mitchell Joachim, Jan Gehl, Allan B. Jacobs, Kevin Lynch, Aldo Rossi, Colin Rowe, Robert Venturi, William H. Whyte, Bill Hillier, and Elizabeth Plater-Zyberk.

Important work on queueing theory used in modern packet switching networks was performed in the early 1960s by Leonard Kleinrock.

Important research generated by the theory has been concerned with the consequences of exposure to information inconsistent with a prior belief, what happens after individuals act in ways that are inconsistent with their prior attitudes, what happens after individuals make decisions, and the effects of effort expenditure.

Important examples of where Fermi liquid theory has been successfully applied are most notably electrons in most metals and Liquid He-3.

* Important publications in consumer theory

* Important publications in production theory

Important events have also taken place on campus, such as Edmund Gettier's refutation of the " justified true belief " theory, which shook 2500 years of epistemology.

Important distinctions: a theoretical orientation ( or paradigm ) is a worldview, the lens through which one organizes experience ( i. e. thinking of human interaction in terms of power or exchange ); a theory is an attempt to explain and predict behavior in particular contexts.

* Important publications in order theory

Important contributions to foraging theory have been made by:

Important algorithms in computational group theory include:

Important influences on the subject have been the technical requirements of theories of partial differential equations, and group representation theory.

Important influences on the depiction of the Ripper include Marie Belloc Lowndes ' 1913 novel The Lodger, which has been adapted for the stage and film, and Stephen Knight's 1976 work Jack the Ripper: The Final Solution, which expanded on a conspiracy theory involving freemasons, royalty and the medical profession that features in many subsequent dramatisations.

Important one-day matches, international and domestic, often have two days set aside, the second day being a " reserve " day to allow more chance of the game being completed if a result is not possible on the first day ( for instance if play is prevented or interrupted by rain ).

Although guaranteed information about the future is in many cases impossible, prediction is necessary to allow plans to be made about possible developments ; Howard H. Stevenson writes that prediction in business "... is at least two things: Important and hard.

Important examples of simple shear include laminar flow through long channels of constant cross-section ( Poiseuille flow ), and elastomeric bearing pads in base isolation systems to allow critical buildings to survive earthquakes undamaged.

Then we were working with Dave Bett at our main distributor Important on the layout for the New York City Hardcore – The Way It Is compilation and he offered to clean it up for us.

Similarly, on the same album, " Your Call Is Very Important To Us ", uses a corporation style call-hold message: " Your call is very important to us.

Important voter groups are senior citizens, families and citizens that belong to the upper-middle class.

Important antiretroviral drugs include the class of protease inhibitors.

Important admissions factors are class rank, rigor of secondary school record, academic GPA, application essay, extracurricular activities, recommendations, and standardized test scores.

Encyclopedia of Biblical Spiritualism ; Or, A Concordance to the Principal Passages of the Old and New Testament Scriptures Which Prove or Imply Spiritualism ; Together with a Brief History of the Origin of Many of the Important Books of the Bible.

Important museums in Ghent are the Museum voor Schone Kunsten ( Museum of Fine Arts ), with paintings by Hieronymus Bosch, Peter Paul Rubens, and many Flemish masters ; the SMAK or Stedelijk Museum voor Actuele Kunst ( City Museum for Contemporary Art ), with works of the 20th century, including Joseph Beuys and Andy Warhol ; and the Design Museum with masterpieces of Victor Horta and Le Corbusier.

IKEA launched a UK-wide " Home is the Most Important Place in the World " advertising campaign in September 2007 using estate agent signs with the term " Not For Sale " written on them as part of the wider campaign.

Users with an Australian IP address were greeted with the message " Important Notice: The download of the Kazaa Media Desktop by users in Australia is not permitted " when visiting the Kazaa website.

Important features included for this were records, enumerations, subranges, dynamically allocated variables with associated pointers, and sets.

Important leaders would have been buried with their belongings in kurgans, and possibly also with members of their households or wives ( human sacrifice, suttee ).

Important student resources which enable a diverse student body have been threatened with closure, such as the university creche.

Important common derivative characteristics ( synapomorphies ) include, for example, the mandibles of the second body segment and the oral papillae and associated slime glands of the third ; nerve strands extending along the underside with numerous cross-linkages per segment ; and the special form of the tracheae.

When his second film Diabeł was banned in Poland he decided to move to France, where he made L ' Important c ' est d ' aimer ( 1975 ) with Romy Schneider.

* Important Things with Demetri Martin

Important Douglas allies died in France and some of their heirs realigned with rival nobles through blood ties while at the same time Douglas experienced a loosening of allegiances in the Lothians and, with the loss of his command over Edinburgh Castle, this all served to improve James's position.

Important paper documents are signed in ink with all involved parties meeting in person, with additional identification forms other than the actual presence ( like driver's licence, passports, fingerprints, etc.

Important events in this time included the inauguration of a railway line connecting the town with Manresa and Lleida in 1860, reconstruction of the walls after a flood in 1874, and the granting of the title of city by King Alfonso XII in 1884.

Important national interests include, for example, regions in which we have a sizable economic stake or commitments to allies, protecting the global environment from severe harm, and crises with a potential to generate substantial and highly destabilizing refugee flows.

Important decisions had to be cleared with the CPSU Central Committee apparatus or even with Stalin himself.

The cays form an Important Bird Area because they support more than 1 % of the world populations of Black Noddies ( with up to 300, 000 nests ) and Wedge-tailed Shearwaters ( up to 560, 000 nests ), making up the majority of the east Australian breeding populations of these species, and sometimes more than 1 % of the world population of Brown Boobies ( 1000-4000 nests ).

The islands have been identified by BirdLife International as an Important Bird Area ( IBA ) because they have supported over 1 % of the world populations of Pied Imperial Pigeons ( with up to 4000 nests ) and Black Noddies ( up to 7500 nests ).

Nine small cays, with a combined area of 9 ha, comprise the Swain Reefs Important Bird Area ( IBA ), identified as such by BirdLife International because together they support over 1 % of the world population of breeding Roseate Terns, and even larger numbers of non-breeding Roseate Terns, with up to 25, 000 individuals recorded there.