Where did Ptolemy compare the Earth to the distance of fixed stars? Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern) Announcing the arrival of Valued Associate #679: Cesar Manara Unicorn Meta Zoo #1: Why another podcast?When was the airless void above the earth discovered?Who first distinguished planets from the stars?How Long Did It Take To Prove That The Earth Revolves Around The SunPlanets/stars as more than points of lightWhen did the estimates of planetary distances made between Ptolemy and Copernicus produce the pattern suggesting heliocentrism?Did the ancient Chinese know the earth is a sphere?When was it discovered that the Earth wasn't round?Historical knowledge of Distance of Earth from SunWhen did astronomy first discover that the stars are bigger than the moon?How did Ptolemy calculate the distance to the moon

How does TikZ render an arc?

Where did Ptolemy compare the Earth to the distance of fixed stars?

Does the transliteration of 'Dravidian' exist in Hindu scripture? Does 'Dravida' refer to a Geographical area or an ethnic group?

Why complex landing gears are used instead of simple, reliable and light weight muscle wire or shape memory alloys?

Centre cell vertically in tabularx

Does a random sequence of vectors span a Hilbert space?

Why are current probes so expensive?

Is this Kuo-toa homebrew race balanced?

As a dual citizen, my US passport will expire one day after traveling to the US. Will this work?

Can gravitational waves pass through a black hole?

What was the last profitable war?

Why does BitLocker not use RSA?

Does the universe have a fixed centre of mass?

Sally's older brother

What criticisms of Wittgenstein's philosophy of language have been offered?

One-one communication

What is "Lambda" in Heston's original paper on stochastic volatility models?

Statistical analysis applied to methods coming out of Machine Learning

How could a hydrazine and N2O4 cloud (or it's reactants) show up in weather radar?

The test team as an enemy of development? And how can this be avoided?

What did Turing mean when saying that "machines cannot give rise to surprises" is due to a fallacy?

My mentor says to set image to Fine instead of RAW — how is this different from JPG?

Can two people see the same photon?

.bashrc alias for a command with fixed second parameter



Where did Ptolemy compare the Earth to the distance of fixed stars?



Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern)
Announcing the arrival of Valued Associate #679: Cesar Manara
Unicorn Meta Zoo #1: Why another podcast?When was the airless void above the earth discovered?Who first distinguished planets from the stars?How Long Did It Take To Prove That The Earth Revolves Around The SunPlanets/stars as more than points of lightWhen did the estimates of planetary distances made between Ptolemy and Copernicus produce the pattern suggesting heliocentrism?Did the ancient Chinese know the earth is a sphere?When was it discovered that the Earth wasn't round?Historical knowledge of Distance of Earth from SunWhen did astronomy first discover that the stars are bigger than the moon?How did Ptolemy calculate the distance to the moon










2












$begingroup$


I read the following in C. S. Lewis, Miracles (page 77-8)




The immensity of the universe is not a recent discovery. More than seventeen hundred years ago Ptolemy taught that in relation to the distance of the fixed stars the whole Earth must be regarded as a point with no magnitude.




There was no reference given, but I assume this would be in the Almagest. However, I don't know where in that work (or elsewhere) Ptolemy discussed this. I want to read his explanation for that view.



Hence the question: Where did Ptolemy compare the Earth to the distance of fixed stars?










share|improve this question







New contributor




Frank Hubeny is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$
















    2












    $begingroup$


    I read the following in C. S. Lewis, Miracles (page 77-8)




    The immensity of the universe is not a recent discovery. More than seventeen hundred years ago Ptolemy taught that in relation to the distance of the fixed stars the whole Earth must be regarded as a point with no magnitude.




    There was no reference given, but I assume this would be in the Almagest. However, I don't know where in that work (or elsewhere) Ptolemy discussed this. I want to read his explanation for that view.



    Hence the question: Where did Ptolemy compare the Earth to the distance of fixed stars?










    share|improve this question







    New contributor




    Frank Hubeny is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$














      2












      2








      2





      $begingroup$


      I read the following in C. S. Lewis, Miracles (page 77-8)




      The immensity of the universe is not a recent discovery. More than seventeen hundred years ago Ptolemy taught that in relation to the distance of the fixed stars the whole Earth must be regarded as a point with no magnitude.




      There was no reference given, but I assume this would be in the Almagest. However, I don't know where in that work (or elsewhere) Ptolemy discussed this. I want to read his explanation for that view.



      Hence the question: Where did Ptolemy compare the Earth to the distance of fixed stars?










      share|improve this question







      New contributor




      Frank Hubeny is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      I read the following in C. S. Lewis, Miracles (page 77-8)




      The immensity of the universe is not a recent discovery. More than seventeen hundred years ago Ptolemy taught that in relation to the distance of the fixed stars the whole Earth must be regarded as a point with no magnitude.




      There was no reference given, but I assume this would be in the Almagest. However, I don't know where in that work (or elsewhere) Ptolemy discussed this. I want to read his explanation for that view.



      Hence the question: Where did Ptolemy compare the Earth to the distance of fixed stars?







      astronomy






      share|improve this question







      New contributor




      Frank Hubeny is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question







      New contributor




      Frank Hubeny is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|improve this question




      share|improve this question






      New contributor




      Frank Hubeny is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked 7 hours ago









      Frank HubenyFrank Hubeny

      11317




      11317




      New contributor




      Frank Hubeny is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





      New contributor





      Frank Hubeny is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      Frank Hubeny is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.




















          2 Answers
          2






          active

          oldest

          votes


















          1












          $begingroup$

          Almagest, Book 1, chap. 5 ................






          share|improve this answer









          $endgroup$












          • $begingroup$
            This basically answered my question where in the Almagest I need to look.
            $endgroup$
            – Frank Hubeny
            2 hours ago


















          3












          $begingroup$

          Ptolemy's argument can be simply explained in plain English. If the distance to stars
          was comparable to the size of the Earth, the stars would experience a diurnal parallax, that is the visible relative positions of the stars in the sky would change during one night. But this is not observed.



          By the way, a similar argument will imply that if the Earth is rotating about the Sun
          (or moves in some other way), the distance to the stars must be much larger than the size of this motion. In particular the diameter of the orbit of the Earth around the Sun is negligible in comparison to the distance to the stars.



          This was the most serious argument against the Heliocentric system, and it is also
          due to Ptolemy. Until the acceptance of Copernicus theory, people just could not believe that the distance to the stars can be so large.






          share|improve this answer









          $endgroup$












          • $begingroup$
            Thank you for confirming that it was parallax and for connecting this to questions about the Heliocentric system.
            $endgroup$
            – Frank Hubeny
            2 hours ago











          Your Answer








          StackExchange.ready(function()
          var channelOptions =
          tags: "".split(" "),
          id: "587"
          ;
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function()
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled)
          StackExchange.using("snippets", function()
          createEditor();
          );

          else
          createEditor();

          );

          function createEditor()
          StackExchange.prepareEditor(
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: false,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: null,
          bindNavPrevention: true,
          postfix: "",
          imageUploader:
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          ,
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          );



          );






          Frank Hubeny is a new contributor. Be nice, and check out our Code of Conduct.









          draft saved

          draft discarded


















          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fhsm.stackexchange.com%2fquestions%2f8509%2fwhere-did-ptolemy-compare-the-earth-to-the-distance-of-fixed-stars%23new-answer', 'question_page');

          );

          Post as a guest















          Required, but never shown

























          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          1












          $begingroup$

          Almagest, Book 1, chap. 5 ................






          share|improve this answer









          $endgroup$












          • $begingroup$
            This basically answered my question where in the Almagest I need to look.
            $endgroup$
            – Frank Hubeny
            2 hours ago















          1












          $begingroup$

          Almagest, Book 1, chap. 5 ................






          share|improve this answer









          $endgroup$












          • $begingroup$
            This basically answered my question where in the Almagest I need to look.
            $endgroup$
            – Frank Hubeny
            2 hours ago













          1












          1








          1





          $begingroup$

          Almagest, Book 1, chap. 5 ................






          share|improve this answer









          $endgroup$



          Almagest, Book 1, chap. 5 ................







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 6 hours ago









          sand1sand1

          90957




          90957











          • $begingroup$
            This basically answered my question where in the Almagest I need to look.
            $endgroup$
            – Frank Hubeny
            2 hours ago
















          • $begingroup$
            This basically answered my question where in the Almagest I need to look.
            $endgroup$
            – Frank Hubeny
            2 hours ago















          $begingroup$
          This basically answered my question where in the Almagest I need to look.
          $endgroup$
          – Frank Hubeny
          2 hours ago




          $begingroup$
          This basically answered my question where in the Almagest I need to look.
          $endgroup$
          – Frank Hubeny
          2 hours ago











          3












          $begingroup$

          Ptolemy's argument can be simply explained in plain English. If the distance to stars
          was comparable to the size of the Earth, the stars would experience a diurnal parallax, that is the visible relative positions of the stars in the sky would change during one night. But this is not observed.



          By the way, a similar argument will imply that if the Earth is rotating about the Sun
          (or moves in some other way), the distance to the stars must be much larger than the size of this motion. In particular the diameter of the orbit of the Earth around the Sun is negligible in comparison to the distance to the stars.



          This was the most serious argument against the Heliocentric system, and it is also
          due to Ptolemy. Until the acceptance of Copernicus theory, people just could not believe that the distance to the stars can be so large.






          share|improve this answer









          $endgroup$












          • $begingroup$
            Thank you for confirming that it was parallax and for connecting this to questions about the Heliocentric system.
            $endgroup$
            – Frank Hubeny
            2 hours ago















          3












          $begingroup$

          Ptolemy's argument can be simply explained in plain English. If the distance to stars
          was comparable to the size of the Earth, the stars would experience a diurnal parallax, that is the visible relative positions of the stars in the sky would change during one night. But this is not observed.



          By the way, a similar argument will imply that if the Earth is rotating about the Sun
          (or moves in some other way), the distance to the stars must be much larger than the size of this motion. In particular the diameter of the orbit of the Earth around the Sun is negligible in comparison to the distance to the stars.



          This was the most serious argument against the Heliocentric system, and it is also
          due to Ptolemy. Until the acceptance of Copernicus theory, people just could not believe that the distance to the stars can be so large.






          share|improve this answer









          $endgroup$












          • $begingroup$
            Thank you for confirming that it was parallax and for connecting this to questions about the Heliocentric system.
            $endgroup$
            – Frank Hubeny
            2 hours ago













          3












          3








          3





          $begingroup$

          Ptolemy's argument can be simply explained in plain English. If the distance to stars
          was comparable to the size of the Earth, the stars would experience a diurnal parallax, that is the visible relative positions of the stars in the sky would change during one night. But this is not observed.



          By the way, a similar argument will imply that if the Earth is rotating about the Sun
          (or moves in some other way), the distance to the stars must be much larger than the size of this motion. In particular the diameter of the orbit of the Earth around the Sun is negligible in comparison to the distance to the stars.



          This was the most serious argument against the Heliocentric system, and it is also
          due to Ptolemy. Until the acceptance of Copernicus theory, people just could not believe that the distance to the stars can be so large.






          share|improve this answer









          $endgroup$



          Ptolemy's argument can be simply explained in plain English. If the distance to stars
          was comparable to the size of the Earth, the stars would experience a diurnal parallax, that is the visible relative positions of the stars in the sky would change during one night. But this is not observed.



          By the way, a similar argument will imply that if the Earth is rotating about the Sun
          (or moves in some other way), the distance to the stars must be much larger than the size of this motion. In particular the diameter of the orbit of the Earth around the Sun is negligible in comparison to the distance to the stars.



          This was the most serious argument against the Heliocentric system, and it is also
          due to Ptolemy. Until the acceptance of Copernicus theory, people just could not believe that the distance to the stars can be so large.







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 3 hours ago









          Alexandre EremenkoAlexandre Eremenko

          25.7k13694




          25.7k13694











          • $begingroup$
            Thank you for confirming that it was parallax and for connecting this to questions about the Heliocentric system.
            $endgroup$
            – Frank Hubeny
            2 hours ago
















          • $begingroup$
            Thank you for confirming that it was parallax and for connecting this to questions about the Heliocentric system.
            $endgroup$
            – Frank Hubeny
            2 hours ago















          $begingroup$
          Thank you for confirming that it was parallax and for connecting this to questions about the Heliocentric system.
          $endgroup$
          – Frank Hubeny
          2 hours ago




          $begingroup$
          Thank you for confirming that it was parallax and for connecting this to questions about the Heliocentric system.
          $endgroup$
          – Frank Hubeny
          2 hours ago










          Frank Hubeny is a new contributor. Be nice, and check out our Code of Conduct.









          draft saved

          draft discarded


















          Frank Hubeny is a new contributor. Be nice, and check out our Code of Conduct.












          Frank Hubeny is a new contributor. Be nice, and check out our Code of Conduct.











          Frank Hubeny is a new contributor. Be nice, and check out our Code of Conduct.














          Thanks for contributing an answer to History of Science and Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid


          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.

          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fhsm.stackexchange.com%2fquestions%2f8509%2fwhere-did-ptolemy-compare-the-earth-to-the-distance-of-fixed-stars%23new-answer', 'question_page');

          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          Францішак Багушэвіч Змест Сям'я | Біяграфія | Творчасць | Мова Багушэвіча | Ацэнкі дзейнасці | Цікавыя факты | Спадчына | Выбраная бібліяграфія | Ушанаванне памяці | У філатэліі | Зноскі | Літаратура | Спасылкі | НавігацыяЛяхоўскі У. Рупіўся дзеля Бога і людзей: Жыццёвы шлях Лявона Вітан-Дубейкаўскага // Вольскі і Памідораў з песняй пра немца Адвакат, паэт, народны заступнік Ашмянскі веснікВ Минске появится площадь Богушевича и улица Сырокомли, Белорусская деловая газета, 19 июля 2001 г.Айцец беларускай нацыянальнай ідэі паўстаў у бронзе Сяргей Аляксандравіч Адашкевіч (1918, Мінск). 80-я гады. Бюст «Францішак Багушэвіч».Яўген Мікалаевіч Ціхановіч. «Партрэт Францішка Багушэвіча»Мікола Мікалаевіч Купава. «Партрэт зачынальніка новай беларускай літаратуры Францішка Багушэвіча»Уладзімір Іванавіч Мелехаў. На помніку «Змагарам за родную мову» Барэльеф «Францішак Багушэвіч»Памяць пра Багушэвіча на Віленшчыне Страчаная сталіца. Беларускія шыльды на вуліцах Вільні«Krynica». Ideologia i przywódcy białoruskiego katolicyzmuФранцішак БагушэвічТворы на knihi.comТворы Францішка Багушэвіча на bellib.byСодаль Уладзімір. Францішак Багушэвіч на Лідчыне;Луцкевіч Антон. Жыцьцё і творчасьць Фр. Багушэвіча ў успамінах ягоных сучасьнікаў // Запісы Беларускага Навуковага таварыства. Вільня, 1938. Сшытак 1. С. 16-34.Большая российская1188761710000 0000 5537 633Xn9209310021619551927869394п

          Беларусь Змест Назва Гісторыя Геаграфія Сімволіка Дзяржаўны лад Палітычныя партыі Міжнароднае становішча і знешняя палітыка Адміністрацыйны падзел Насельніцтва Эканоміка Культура і грамадства Сацыяльная сфера Узброеныя сілы Заўвагі Літаратура Спасылкі НавігацыяHGЯOiТоп-2011 г. (па версіі ej.by)Топ-2013 г. (па версіі ej.by)Топ-2016 г. (па версіі ej.by)Топ-2017 г. (па версіі ej.by)Нацыянальны статыстычны камітэт Рэспублікі БеларусьШчыльнасць насельніцтва па краінахhttp://naviny.by/rubrics/society/2011/09/16/ic_articles_116_175144/А. Калечыц, У. Ксяндзоў. Спробы засялення краю неандэртальскім чалавекам.І ў Менску былі мамантыА. Калечыц, У. Ксяндзоў. Старажытны каменны век (палеаліт). Першапачатковае засяленне тэрыторыіГ. Штыхаў. Балты і славяне ў VI—VIII стст.М. Клімаў. Полацкае княства ў IX—XI стст.Г. Штыхаў, В. Ляўко. Палітычная гісторыя Полацкай зямліГ. Штыхаў. Дзяржаўны лад у землях-княствахГ. Штыхаў. Дзяржаўны лад у землях-княствахБеларускія землі ў складзе Вялікага Княства ЛітоўскагаЛюблінская унія 1569 г."The Early Stages of Independence"Zapomniane prawdy25 гадоў таму было аб'яўлена, што Язэп Пілсудскі — беларус (фота)Наша вадаДакументы ЧАЭС: Забруджванне тэрыторыі Беларусі « ЧАЭС Зона адчужэнняСведения о политических партиях, зарегистрированных в Республике Беларусь // Министерство юстиции Республики БеларусьСтатыстычны бюлетэнь „Полаўзроставая структура насельніцтва Рэспублікі Беларусь на 1 студзеня 2012 года і сярэднегадовая колькасць насельніцтва за 2011 год“Индекс человеческого развития Беларуси — не было бы нижеБеларусь занимает первое место в СНГ по индексу развития с учетом гендерного факцёраНацыянальны статыстычны камітэт Рэспублікі БеларусьКанстытуцыя РБ. Артыкул 17Трансфармацыйныя задачы БеларусіВыйсце з крызісу — далейшае рэфармаванне Беларускі рубель — сусветны лідар па дэвальвацыяхПра змену коштаў у кастрычніку 2011 г.Бядней за беларусаў у СНД толькі таджыкіСярэдні заробак у верасні дасягнуў 2,26 мільёна рублёўЭканомікаГаласуем за ТОП-100 беларускай прозыСучасныя беларускія мастакіАрхитектура Беларуси BELARUS.BYА. Каханоўскі. Культура Беларусі ўсярэдзіне XVII—XVIII ст.Анталогія беларускай народнай песні, гуказапісы спеваўБеларускія Музычныя IнструментыБеларускі рок, які мы страцілі. Топ-10 гуртоў«Мясцовы час» — нязгаслая легенда беларускай рок-музыкіСЯРГЕЙ БУДКІН. МЫ НЯ ЗНАЕМ СВАЁЙ МУЗЫКІМ. А. Каладзінскі. НАРОДНЫ ТЭАТРМагнацкія культурныя цэнтрыПублічная дыскусія «Беларуская новая пьеса: без беларускай мовы ці беларуская?»Беларускія драматургі па-ранейшаму лепш ставяцца за мяжой, чым на радзіме«Працэс незалежнага кіно пайшоў, і дзяржаву турбуе яго непадкантрольнасць»Беларускія філосафы ў пошуках прасторыВсе идём в библиотекуАрхіваванаАб Нацыянальнай праграме даследавання і выкарыстання касмічнай прасторы ў мірных мэтах на 2008—2012 гадыУ космас — разам.У суседнім з Барысаўскім раёне пабудуюць Камандна-вымяральны пунктСвяты і абрады беларусаў«Мірныя бульбашы з малой краіны» — 5 непраўдзівых стэрэатыпаў пра БеларусьМ. Раманюк. Беларускае народнае адзеннеУ Беларусі скарачаецца колькасць злачынстваўЛукашэнка незадаволены мінскімі ўладамі Крадзяжы складаюць у Мінску каля 70% злачынстваў Узровень злачыннасці ў Мінскай вобласці — адзін з самых высокіх у краіне Генпракуратура аналізуе стан са злачыннасцю ў Беларусі па каэфіцыенце злачыннасці У Беларусі стабілізавалася крымінагеннае становішча, лічыць генпракурорЗамежнікі сталі здзяйсняць у Беларусі больш злачынстваўМУС Беларусі турбуе рост рэцыдыўнай злачыннасціЯ з ЖЭСа. Дазволіце вас абкрасці! Рэйтынг усіх службаў і падраздзяленняў ГУУС Мінгарвыканкама вырасАб КДБ РБГісторыя Аператыўна-аналітычнага цэнтра РБГісторыя ДКФРТаможняagentura.ruБеларусьBelarus.by — Афіцыйны сайт Рэспублікі БеларусьСайт урада БеларусіRadzima.org — Збор архітэктурных помнікаў, гісторыя Беларусі«Глобус Беларуси»Гербы и флаги БеларусиАсаблівасці каменнага веку на БеларусіА. Калечыц, У. Ксяндзоў. Старажытны каменны век (палеаліт). Першапачатковае засяленне тэрыторыіУ. Ксяндзоў. Сярэдні каменны век (мезаліт). Засяленне краю плямёнамі паляўнічых, рыбакоў і збіральнікаўА. Калечыц, М. Чарняўскі. Плямёны на тэрыторыі Беларусі ў новым каменным веку (неаліце)А. Калечыц, У. Ксяндзоў, М. Чарняўскі. Гаспадарчыя заняткі ў каменным векуЭ. Зайкоўскі. Духоўная культура ў каменным векуАсаблівасці бронзавага веку на БеларусіФарміраванне супольнасцей ранняга перыяду бронзавага векуФотографии БеларусиРоля беларускіх зямель ва ўтварэнні і ўмацаванні ВКЛВ. Фадзеева. З гісторыі развіцця беларускай народнай вышыўкіDMOZGran catalanaБольшая российскаяBritannica (анлайн)Швейцарскі гістарычны15325917611952699xDA123282154079143-90000 0001 2171 2080n9112870100577502ge128882171858027501086026362074122714179пппппп

          ValueError: Expected n_neighbors <= n_samples, but n_samples = 1, n_neighbors = 6 (SMOTE) The 2019 Stack Overflow Developer Survey Results Are InCan SMOTE be applied over sequence of words (sentences)?ValueError when doing validation with random forestsSMOTE and multi class oversamplingLogic behind SMOTE-NC?ValueError: Error when checking target: expected dense_1 to have shape (7,) but got array with shape (1,)SmoteBoost: Should SMOTE be ran individually for each iteration/tree in the boosting?solving multi-class imbalance classification using smote and OSSUsing SMOTE for Synthetic Data generation to improve performance on unbalanced dataproblem of entry format for a simple model in KerasSVM SMOTE fit_resample() function runs forever with no result