Тело сечений

Тело сечений — конструкция, дающая тело для данного тела евклидова пространства.

Определение было дано Лютваком в 1988 году. Эта конструкция сыграла заметную роль в решении задачи Буземана — Петти.

Определение

Предположим, что  — выпуклое симметричное тело в -мерном евклидовом пространстве. Тогда тело сечений для тела есть тело, ограниченное гиперповерхностью, образованной всеми векторами вида

где  — единичный вектор,  — гиперплоскость, проходящая через начало координат и перпендикулярная , а  — площадь, точнее -мерный объём.

Свойства

  • Теорема Буземана. Пусть есть выпуклое симметричное тело в -мерном евклидовом пространстве с центром в начале координат. Тогда тело сечений также выпукло.

Литература

Read other articles:

Larry PagePage pada tahun 2009Lahir26 Maret 1973 (umur 50)Lansing, Michigan, Amerika SerikatPekerjaanPendiri dan Chief Executive Officer/CEO Google LLCKekayaan bersih$122 miliar (2021)[1]Suami/istriLucinda Southworth Lawrence Edward Page (lahir 26 Maret 1973) adalah salah satu pendiri dari mesin pencari internet Google bersama Sergey Brin. Sejak 4 April 2011, ia menjabat sebagai Chief Executive Officer/CEO di Google Inc. menggantikan Eric Schmidt. Masa muda dan pendidikan L...

 

Artikel ini perlu diterjemahkan dari bahasa Inggris ke bahasa Indonesia. Artikel ini ditulis atau diterjemahkan secara buruk dari Wikipedia bahasa Inggris. Jika halaman ini ditujukan untuk komunitas bahasa Inggris, halaman itu harus dikontribusikan ke Wikipedia bahasa Inggris. Lihat daftar bahasa Wikipedia. Artikel yang tidak diterjemahkan dapat dihapus secara cepat sesuai kriteria A2. Jika Anda ingin memeriksa artikel ini, Anda boleh menggunakan mesin penerjemah. Namun ingat, mohon tidak men...

 

National Olympic Committee Bulgarian Olympic CommitteeCountry/Region BulgariaCodeBULCreated1923Recognized1924ContinentalAssociationEOCHeadquartersSofia, BulgariaPresidentStefka KostadinovaSecretary GeneralBelcho GoranovWebsitewww.bgolympic.org The Bulgarian Olympic Committee (Bulgarian: Български олимпийски комитет, Balgarski olimpiyski komitet; abbreviated as БОК, BOC) is a non-profit organization serving as the National Olympic Committee of Bulgaria and a p...

Untuk perguruan tinggi bernama mirip di Bogor, lihat Universitas Ibn Khaldun Bogor. Artikel ini tidak memiliki referensi atau sumber tepercaya sehingga isinya tidak bisa dipastikan. Tolong bantu perbaiki artikel ini dengan menambahkan referensi yang layak. Tulisan tanpa sumber dapat dipertanyakan dan dihapus sewaktu-waktu.Cari sumber: Universitas Ibnu Chaldun – berita · surat kabar · buku · cendekiawan · JSTOR Didirikan1956AfiliasiIslamRektorDr. Rahmah...

 

American politician For other people named Henry Muhlenberg, see Henry Muhlenberg (disambiguation). Henry A. P. MuhlenbergU.S. Minister to the Austrian EmpireIn officeFebruary 8, 1838 – September 18, 1840PresidentMartin Van BurenPreceded byOffice createdSucceeded byDaniel JeniferMember of the U.S. House of Representativesfrom Pennsylvania's 9th districtIn office1833–1838Preceded byJames Ford Philander Stephens Lewis DewartSucceeded byGeorge M. KeimMember of the U.S.&#...

 

جمال الشرعبي معلومات شخصية الميلاد 1976اليمن  الوفاة 18 مارس 2011صنعاء  مواطنة اليمن  عدد الأولاد 4   الحياة العملية المهنة صحفي،  ومصور أخبار  اللغات العربية  تعديل مصدري - تعديل   جمال أحمد الشرعبي (1976 - 18 مارس 2011) كان مصور صحفي يمني لصحيفة المصدر الأسبوعية ا�...

Artikel ini sebatang kara, artinya tidak ada artikel lain yang memiliki pranala balik ke halaman ini.Bantulah menambah pranala ke artikel ini dari artikel yang berhubungan atau coba peralatan pencari pranala.Tag ini diberikan pada Desember 2022. Dr. Latifah Nurahmi, S.T., M.Sc. (lahir 16 November 1986) adalah seorang peneliti dan rekayasawan dari Indonesia di bidang robotika, seperti analisis dan sintesis kinematika, desain mekanisme, manipulator paralel dan robot kabel.[1] Dia terken...

 

Orang Indonesia di JepangJumlah populasi122,028 (2023)Daerah dengan populasi signifikanTokyo, Nagoya, OsakaBahasaIndonesia, Sunda, Jepang, dan variasi bahasa daerah di IndonesiaAgamaIslam, Kristen,[1] Buddha, Hindu[butuh rujukan] Orang Indonesia di Jepang (在日インドネシア人code: ja is deprecated , Zainichi Indoneshiajin) merupakan kelompok imigran terbesar dari negara bermayoritas penduduk muslim di Jepang. Hingga 2007[update], Pemerintah Jepang mencatat seju...

 

1978 film The BeesTheatrical release posterDirected byAlfredo ZacaríasWritten byAlfredo ZacaríasJack HillStarringJohn SaxonJohn CarradineAngel TompkinsClaudio BrookAlicia EncinasMusic byRichard GillisDistributed byNew World PicturesRelease dateNovember 17, 1978Running time95 minutesCountryMexicoLanguageEnglish The Bees (Spanish: Abejas asesinas, Killer Bees) is a 1978 Mexican horror film about South American bees imported to the USA, where they wreak havoc.[1] Cast John Saxon - John...

Chinese historian and paleographer Qiu Xigui裘锡圭Born (1935-07-13) July 13, 1935 (age 88)Shanghai, ChinaAlma materFudan UniversityKnown forChinese WritingCollected Papers on PalaeographyScientific careerFieldsAncient Chinese history, palaeography, graphemicsInstitutionsPeking UniversityFudan University In this Chinese name, the family name is Qiu. Qiu Xigui (simplified Chinese: 裘锡圭; traditional Chinese: 裘錫圭; Wade–Giles: Ch'iu Hsi-kuei; born 13 ...

 

Міністерство оборони України (Міноборони) Емблема Міністерства оборони та Прапор Міністерства оборони Будівля Міністерства оборони у КиєвіЗагальна інформаціяКраїна  УкраїнаДата створення 24 серпня 1991Попередні відомства Міністерство оборони СРСР Народний комісарі...

 

International athletics championship eventAthletics at the 1985 Games of the Small States of EuropeDates23–26 MayHost citySerravalle, San MarinoVenueStadio Olimpico di San MarinoEvents20Participation72 athletes from 5 nations1987 Monaco → 1985 Games of the Small States of Europe Athletics at the 1985 Games of the Small States of Europe were held at the Stadio Olimpico in Serravalle, San Marino, between 23 and 26 May.[1][2][3] Medal summary Men Event Gold Silver...

Comic book series Amazing X-MenCover art for Amazing X-Men #1.Art by Ed McGuinness.Publication informationPublisherMarvel ComicsFormat(vol. 1)Limited series(vol. 2)Ongoing seriesGenre Superhero Publication date(vol. 1)1995(vol. 2)2013-2015No. of issues(vol. 1)4(vol. 2)19Main character(s)Beast ColossusFirestarIcemanNightcrawlerNorthstarStormWolverineCreative teamWritten by(vol. 2)Jason Aaron (issues 1–6) Kathryn Immonen (issue 7) Chris Yost & Craig Kyle (issues 8-19)Artist(s)(vol. 2)Ed M...

 

State park in Oregon, United States Milo McIver State ParkClackamas River flowing through Milo McIver State ParkShow map of OregonShow map of the United StatesTypePublic, stateLocationClackamas County, OregonNearest cityOregon CityCoordinates45°18′21″N 122°22′24″W / 45.3059547°N 122.3734195°W / 45.3059547; -122.3734195[1]Operated byOregon Parks and Recreation Department Milo McIver State Park is a state park in the U.S. state of Oregon. It...

 

Directive in European Union law Directive 2003/88/ECEuropean Union directiveTitleDirective 2003/88/EC of the European Parliament and of the Council of 4 November 2003 concerning certain aspects of the organisation of working timeMade byEuropean Parliament & Council of the EUMade underArt. 137(2)Journal referenceL 299, 2003-11-18, p. 9HistoryDate made2003-11-04Preparative textsEESC opinionC 61, 2003-03-14, p. 123EP opinion2002-12-17Current legislation The Working Time Directive 2...

Typeface classification for letterforms without serifs Sans-serif typeface Serif typeface Serifs(coloured in red) From left to right: a Ming serif typeface with serifs in red, a Ming serif typeface and an East Asian gothic sans-serif typeface In typography and lettering, a sans-serif, sans serif (/ˈsæn(z) ˈsɛrɪf/), gothic, or simply sans letterform is one that does not have extending features called serifs at the end of strokes.[1] Sans-serif typefaces tend to have less stroke w...

 

In Kuwait la condotta omosessuale maschile è illegale e può portare a gravi multe o anche al carcere[1], mentre non viene in alcun modo menzionata quella femminile. La legge non riconosce le coppie gay, le persone transessuali non possono cambiare legalmente sesso e il travestitismo è stato condannato e perseguito fino al 16 febbraio 2022. Indice 1 Leggi in materia di omosessualità 1.1 Leggi contro l'omosessualità nei media 2 Espressione dell'identità di genere 3 Movimenti per i...

 

Guilherme de SáBackground informationBorn (1980-12-10) December 10, 1980 (age 43)Limeira, São Paulo, BrazilGenresChristian rock, alternative rockOccupation(s)singer, composerInstrument(s)Voice, classical guitarYears active2001–presentLabelsCodimuc, Som LivreMusical artist Guilherme de Sá (born December 10, 1980) is a singer, songwriter, writer, poet, music producer and Brazilian arranger, best known for being the former vocalist of the rock band Rosa de Saron[1] from 2001 t...

Group of islands on Lake Ladoga, Russia Ladoga Skerries National Park(Russian: Ладожские шхеры)IUCN category II (national park)Ladoga Skerries National ParkLocation of ParkLocationRepublic of KareliaNearest citySaint PetersburgCoordinates61°36′N 30°50′E / 61.60°N 30.83°E / 61.60; 30.83Area122,008 ha (301,488 acres; 1,220 km2; 471 sq mi)EstablishedDecember 2017 (2017-12/28)Governing bodyFGBU Ladoga Skerries L...

 

1620 battle of the Thirty Years' War Capture of BacharachPart of the Palatinate phase of the Thirty Years' WarView of Bacharach by Matthäus MerianDate1 October 1620LocationBacharach, Electorate of the Palatinate(present-day Germany)Result Spanish victoryBelligerents Palatinate  SpainCommanders and leaders Frederick V Gonzalo Fernández de CórdobaStrength Unknown 2,500–5,000[1]Casualties and losses Unknown 3 dead and 3 wounded[2]vteThirty Years' War Bohemian Revolt (16...