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 in complexity theory allow us to relate this complexity class with other classes, telling us about the relative power of the resources involved.

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 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 settlements also began in the Beaubassin region of the present-day Isthmus of Chignecto, and in the St. John River valley, and settlers began to establish communities on Île-Saint-Jean and Île-Royale as well.

Important production centers are the Hallertau in Germany ( which, in 2006, had more hop-growing area than any other country on Earth ), the Yakima ( Washington ) and Willamette ( Oregon ) valleys, and western Canyon County, Idaho ( including the communities of Parma, Wilder, Greenleaf, and Notus ).

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.

Important industry sector regulations have also been included when they have a significant impact on information security.

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 ).

Important widely recognized types of property include real property ( the combination of land and any improvements to or on the land ), personal property ( physical possessions belonging to a person ), private property ( property owned by legal persons or business entities ), public property ( state owned or publicly owned and available possessions ) and intellectual property ( exclusive rights over artistic creations, inventions, etc.

** Important safety related change to front suspension lower ball joints on all cars in September 1983.

Important messages were spelt out on the display board using up to 2, 000 bulbs.

Important conceptual work on the physical basis of stars occurred during the first decades of the twentieth century.

For more information on Maasai pastoralism as part of the Globally Important Agricultural Heritage Systems, see: GIAHS

Important cycling events are usually held on tracks which have lines laid out in a specified arrangement.

Important work in the scholastic tradition has been carried on, however, well past Aquinas ' time, for instance by Francisco Suárez and Molina, and also among Lutheran and Reformed thinkers.

* Important works on mathematics and astronomy are written in Sanskrit.

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 cities on Lake Huron include: Goderich, Sarnia, Bay City, Alpena, Rogers City, Cheboygan, St. Ignace, and Port Huron.

Important new evidence on a plausible mechanism for the evolution of " gay genes " has emerged from the work of Camperio-Ciani.

Also appearing in the 1970s was The Most Important Person, a short series of five-minute segments on the importance of life ; and The Kingdom of Could Be You, a short series of five-minute segments on the importance of careers and the work world.

Important characteristics of the early yaoi dōjinshi were that they were amateur publications not controlled by media restrictions, the stories were by teens for other teens and they were based on famous characters who were in their teens or early twenties, the same age as the yaoi fans.

Important: In these hypothetical circumstances, Worm will have the nuts 50 % of the time, and be on a busted draw 50 % of the time.

Important towns developed on the coast, of which evidences are left in the ruins of Albenga, Ventimiglia and Luni.

Important members of the party have included Minneapolis mayor Hubert H. Humphrey and Minnesota Attorney General Walter Mondale, who each went on to be United States Senators, Vice Presidents of the United States, and unsuccessful Democratic nominees for president, Humphrey in 1968 and Mondale in 1984 ; Eugene McCarthy, a Senator who ran for the Democratic presidential nomination in 1968 as an anti-Vietnam War candidate ; and Paul Wellstone, a Senator from 1991 – 2002 who became an icon of populist progressivism.

Important studies on the behavior and training methods of guide dogs were done in the 1920s and 1930s by Jakob von Uexküll and Emanuel Georg Sarris.

Important examples include a piece on Pollius ' temple to Hercules ( 3. 1 ), the aetiology of the tree at Atedius ' villa ( 2. 3 ), an antique statue of Lysippus ' Heracles ( 4. 6 ) and a description of Pollius ' villa at Surrentum ( 2. 2 ).

Important considerations common to each type of shelter are: 1.

Important contributions to type theory, NuPRL.

Important specifications to consider when searching for industrial chillers include the total life cycle cost, the power source, chiller IP rating, chiller cooling capacity, evaporator capacity, evaporator material, evaporator type, condenser material, condenser capacity, ambient temperature, motor fan type, noise level, internal piping materials, number of compressors, type of compressor, number of fridge circuits, coolant requirements, fluid discharge temperature, and COP ( the ratio between the cooling capacity in RT to the energy consumed by the whole chiller in KW ).

Important physical variables involved are what type of rod is used, how the hair is wrapped and how end papers are used.

Important shows of this type were the Armory Show in New York City in 1913 and the London International Surrealist Exhibition in 1936.

Important architectural examples are the top-lit galleries in the north and south wings, which are one of the earliest examples of their type.

Important to properly select type of extinguisher appropriate to type of material burning ( wood, grease, electrical, etc .).

Important early anthroposophists who were Jewish included Karl König, the founder of the Camphill movement, and a majority of the executive board of the original Anthroposophical Society.

Important factors were the aggressiveness of neighboring peoples ( especially the Thai, or Siamese ), chronic interdynastic strife, and the gradual deterioration of the complex irrigation system that had ensured rice surpluses.

Important Kaldu cities were Bit-Yâkin ( the original homeland at the Persian Gulf ), Bit-Dakuri, Bit-Adini, Bit-Amukkani, and Bit-Shilani.

Important to Protestantism ( and the Turks ) were the:

Important figures in the first years were – among others – Petra Kelly, Lukas Beckmann, Rudolf Bahro, Joseph Beuys, Antje Vollmer, Rudi Dutschke, Undine von Blottnitz, Joschka Fischer, Herbert Gruhl and Baldur Springmann.

An early influence in this vein was Henry David Thoreau and his famous book Walden Important promoters of this were Henri Zisly and Emile Gravelle who collaborated in La Nouvelle Humanité followed by Le Naturien, Le Sauvage, L ' Ordre Naturel, & La Vie Naturelle.

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 sites in the settlement were a place for periodical markets and a tavern, mentioned as forum et taberna in 1140.

Important battles were fought at Ticonderoga in 1758 and 1775.

Important pioneers in lute revival were Julian Bream, Hans Neemann, Walter Gerwig, Suzanne Bloch and Diana Poulton.

Important literary precursors of Modernism were: Fyodor Dostoyevsky ( 1821 – 81 ) ( Crime and Punishment ( 1866 ), The Brothers Karamazov ( 1880 ); Walt Whitman ( 1819 – 92 ) ( Leaves of Grass ) ( 1855 – 91 ); Charles Baudelaire ( 1821 – 67 ) ( Les fleurs du mal ), Rimbaud ( 1854 – 91 ) ( Illuminations, 1874 ); August Strindberg ( 1849 – 1912 ), especially his later plays, including, the trilogy To Damascus 1898 – 1901, A Dream Play ( 1902 ), The Ghost Sonata ( 1907 ).

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

Important state ceremonies were held in the Painted Chamber.

Important tallages were made by Edward I in the second, third and fourth years, (£ 1, 000 ) and in the fifth year ( 25, 000 marks ), of his reign.

Important programs were started quickly ; how long before less-important programs were started was unpredictable.

Important well known and popular techniques, almost universally used in industry, such as Data Flow Diagrams and Structure Charts were not included in the specification.

Important landmarks were inaugurated in 1910, the Kaiserbrücke ( Kaiser bridge ) and the Technische Hochschule ( TH ), which now houses the Wrocław University of Technology.

Important artists included Itō Shinsui and Kawase Hasui, who were named Living National Treasures by the Japanese government.

Important Buddhist canons were translated into Chinese during the 2nd century CE, including the Sutra of Forty-two Chapters, Perfection of Wisdom, Shurangama Sutra, and Pratyutpanna Sutra.

Important figures like Pliny the Elder ( in Como ) and Virgil ( in Mantua ) were born here.

Important contributors to the field were William of Conches, Bartholomew of Lucca, William of Auvergne, William of Pagula, and Ibn Khaldun.

Important party leaders, such as Zhu De and Nie Rongzhen, were first admitted to the party by Zhou.

Important Japanese military bases and industrial centers throughout Taiwan, like Takao ( now Kaohsiung ), were targets of heavy American bombing.