Jivanmukta

A jīvanmukta, literally meaning 'liberated while living',[1] is a person who, in the Jain and Vedānta philosophy, has gained complete self-knowledge and self-realisation and attained kaivalya (enlightenment) or moksha (liberation), thus is liberated while living and not yet dead.[2][3] The jivanmukt being is termed as sayogi-kevali (enlightened one with the body) or Arihant in Jainism. The state is the aim of moksha in Vedānta, Yoga and other schools of Hinduism, and it is referred to as jīvanmukti.[4][5][6]

Jīvanmuktas are also called ātma-jnāni (self-realized) because they are knowers of their true self (ātman) and the universal self, hence also called Brahma-jñāni. At the end of their lives, jīvanmuktas destroy remaining karmas and attain parāmukti (final liberation) and become parāmukta. When a jīvanmukta gives his insight to others and teaches them about his/her realisation of the true nature of the ultimate reality (Brahman) and self (Atman), taking the role of a guru to show the path of Moksha to others, then that jīvanmukta is called an avadhūta. Some avadhūtas also achieve the title of Paramahamsa. When a rishi (seer / sage) becomes a jīvanmukta then that rishi is called Brahmarshi.

According to popular tradition, some examples of jivanmuktas are Parshvanatha, Mahāvīra, the Buddha, Adi Śankarā, Dnyāneshwar, Kabīr, Chaitanya Mahāprabhu, Rāmakrishna Paramahansa, Ramana Maharshi, Vedānta Deśika, Swāminārāyan, Nisargadatta Maharaj, and Swami Ramdas. They are believed to have realized the Self (atman) within their lifetime by traveling the path of pure spirituality. After achieving enlightenment and the state of jivanmukti, they are regarded to have negated their karma. According to their followers, they are said to have retained their bodies to disseminate their wisdom to the masses. After their death, they are believed to have attained paramukti.

Etymology

Jīvanmukta (Sanskrit: जीवन्मुक्त) is an adjective derived from a combination of Sanskrit noun जीव jīva, "life", and the past participle of the verb मुच् (much, or IAST muc), "to liberate". Monier-Williams gives the meaning "emancipated while still alive".

Jīvanmukti (Sanskrit: जीवन्मुक्ति:), the corresponding abstract noun means, "liberation during life, liberation before death",[7][8] or "emancipation while still alive".[9][6] This is the only meaning given in authoritative dictionaries of classical Sanskrit, including Monier-Williams. Other translations, not found in standard dictionaries and therefore presumably of more modern date, include "self realization",[10][11][12] "living liberation", "enlightenment", "liberated soul", or "self liberation".[13][14][15]

Description

The various texts and schools of Hinduism describe the jīvanmukti state of existence as one of liberation and freedom reached within one's life.[16][17] Some contrast jīvanmukti with videhamukti (moksha from samsāra after death).[18] Jīvanmukti is a state that transforms the nature, attributes and behaviors of an individual, claim these ancient texts of Hindu philosophy. For example, according to Nāradaparivrājaka Upanishad, the enlightened individual shows attributes such as:[19]

  • his consciousness of individuality has disappeared;
  • he is not bothered by disrespect and endures cruel words, treats others with respect regardless of how others treat him;
  • when confronted by an angry person he does not return anger, instead replies with soft and kind words;
  • even if tortured, he speaks and trusts the truth;
  • he does not crave for blessings or expect praise from others;
  • he never injures or harms any life or being (ahimsā), he is intent in the welfare of all beings;[20]
  • he is as comfortable being alone as in the presence of others;
  • he is as comfortable with a bowl, at the foot of a tree in tattered robe without help, as when he is in a mithuna (union of mendicants), grama (village) and nagara (city);
  • he does not care about or wear śikhā (tuft of hair on the back of head for religious reasons), nor the holy thread across his body. To him, knowledge is śikhā, knowledge is the holy thread, knowledge alone is supreme. Outer appearances and rituals do not matter to him, only knowledge matters;
  • for him there is no invocation nor dismissal of deities, no mantra nor non-mantra, no prostrations nor worship of gods, goddess or ancestors, nothing other than knowledge;
  • he is humble, high-spirited, of clear and steady mind, straightforward, compassionate, patient, indifferent, courageous, speaks firmly and with sweet words.

Advaita view

Ādi Śankara explains that nothing can induce one to act who has no desire of his own to satisfy. The supreme limit of vairāgya ("non-attachment"), is the non-springing of vāsanās in respect of enjoyable objects; the non-springing of the sense of the "I" (in things which are the ānatman) is the extreme limit of bodhā ("awakening"), and the non-springing again of the modifications which have ceased is the extreme limit of Uparati ("abstinence"). The jīvanmukta gains divine and infinite knowledge and has complete self-knowledge and Self-realization. A jīvanmukta, by reason of his ever being Brahman, is freed from awareness of external objects and is no longer aware of any difference between the inner ātman and Brahman, or between Brahman and the world. He knows that he is the same as Brahman and has an experiences infinite consciousness. "Vijnātabrahmatattvasya yathāpūrvam na samsrtih" – "there is no saṃsāra as before for one who has known Brahman".[21]

There are three kinds of prārabdha karma: Ichha ("personally desired"), anichhā ("without desire") and parechhā ("due to others' desire"). For a self-realized person, a jīvanmukta, there is no ichhā-prārabdha but the two others, anichhāa and parechhā, remain,[22] which even a jīvanmukta has to undergo.[22][23] According to the Advaita school, for those of wisdom, prārabdha is liquidated only by experience of its effects; sancita ("accumulated karmas") and āgami ("future karmas") are destroyed in the fire of jñāna ("knowledge").[21]

The term parāmukti is commonly used to refer to final liberation, which occurs upon the death of the body of someone who has attained Jīvanmukti or Kaivalya during his or her lifetime. It implies the ultimate release of the soul (ātman) from saṃsāra and karma and merger of the ātman in Brahman. So when a jīvanmukta dies he becomes a paramukta. In the Hindu view, when an ordinary person dies and his physical body disintegrates, the person's unresolved karma causes his ātman to pass on to a new birth; and thus the kārmic inheritance is reborn in one of the many realms of samsāra. However, when a person attains jīvanmukti, he is liberated from kārmic rebirth. When such a person dies and his physical body disintegrates, his cycle of rebirth ends and he become one with Brahman. That person is said to have achieved parāmukti and become a parāmukta. Thus, a jīvanmukta has a body while a parāmukta is bodyless and pure. When a jīvanmukta attains the state of nirvikalpa samādhi then he or she can become a parāmukta by his or her own will. A jīvanmukta who has attained the state of nirvikalpa samādhi, will, at an appropriate time, consciously exit from their body and attain parāmukti. This act of consciously and intentionally leaving one's body is called as mahāsamādhi.

In the śramaṇic traditions, the jīvanmukta is called an arhat in Buddhism[24] and arihant in Jainism.[citation needed]

Implication

The Advaita school holds the view that the world appearance is owing to avidyā (ignorance) that has the power to project i.e. to superimpose the unreal on the real (adhyāsa), and also the power to conceal the real resulting in the delusion of the jīva who experiences objects created by his mind and sees difference in this world, he sees difference between the ātman ("the individual self") and Brahman ("the supreme Self"). This delusion caused by ignorance is destroyed when ignorance itself is destroyed by knowledge. When all delusion is removed there remains no awareness of difference. He who sees no difference between Self and Brahman is said to be a jīvanmukta. A jīvanmukta experiences infinite knowledge, infinite power, and infinite bliss while alive and also after death i.e., after becoming parāmukta, while a videhamukta experiences these only after death.

There are four stages for becoming a jīvanmukta:

1. Sālokya – living in the same world

2. Sārūpya – having the same form

3. Sāmīpya – being close to

4. Sāyujya – merging into[25]

STAGE 1. The first stage is called sālokya — corresponding to the waking state of consciousness (jāgratā) — the realization that the entire vast universe of billions of galaxies and universes is all pervaded by the Divine Consciousness. (Viṣṇu means That which pervades the entire universe and everything in it.) It is the undifferentiated Ocean of Being. When this stage is achieved then the person is freed from the idea that the world is separate and independent from us and that it is an ultimate source of abiding pleasure and joy.

STAGE 2. The second stage is sarūpya or sadhārmya — corresponding to the dreaming state of consciousness – realization that every being is interconnected and all "apparently" separate jīvas are embodiments of the One Divine Consciousness. When this stage is achieved then the person gets the freedom from ahaṅkāra - the notion of self-identity and the notion of difference from the other, thus being able to cultivate empathy with all and universal compassion for all beings.

STAGE 3. The third stage sāmīpya — is intimacy with the Divine — corresponding to the unconscious dreamless state of consciousness – God-realization occurs when the nature of the saguṇa īśvara is cognized and one surrenders to Him/Her. When this stage is achieved, the person is freed from all self-effort to achieve liberation, from religion and its bondage, and the relinquishes all self-imposed burdens – achieving a state of equanimity, tranquility, abiding joy and peace.

STAGE 4. The final stage sāyujya — communion with, or unification with the Absolute Godhead — corresponding to the Turīya or inconceivable and inexpressible fourth state of consciousness – a merging with the Godhead bordering on complete identity. When this stage is achieved, then the person becomes a complete jīvanmukta and gets absolute freedom from rebirth and suffering — this is the final stage of Brahma-nirvāna.

Significance

The Advaita philosophy rests on the premise that noumenally the Absolute alone exists, Nature, Souls and God are all merged in the Absolute; the Universe is one, that there is no difference within it, or without it; Brahman is alike throughout its structure, and the knowledge of any part of it is the knowledge of the whole (Brihadarānyaka Upanishad II.4.6-14), and, since all causation is ultimately due to Brahman, since everything beside Brahman is an appearance, the Atman is the only entity that exists and nothing else. All elements emanated from the Atman (Taittirīya Upanishad II.1) and all existence is based on Intellect (Aitareya Upanishad III.3). The universe created by Brahman from a part of itself is thrown out and re-absorbed by the Immutable Brahman (Mundaka Upanishad I.1.7). Therefore, the jīva (the individual self) is non-different from Brahman (the supreme Self), and the jīva, never bound, is ever liberated. Through Self-consciousness one gains the knowledge of existence and realizes Brahman.[26]

See also

References

  1. ^ The Vivekacūḍāmaṇi of Śaṅkarācārya Bhagavatpāda: An Introduction and Translation edited by John Grimes "A mukta is a mukta, with or without a body.110 It may be said that a knower of the Self with a body is a Jivan Mukta and when that person sheds the body, he attains Videhamukti. But this difference exists only for the onlooker, not the mukta."
  2. ^ Gavin Flood (1998), An Introduction to Hinduism, Cambridge University Press, ISBN 978-0521438780, page 92-93
  3. ^ Klaus Klostermaier, Mokṣa and Critical Theory, Philosophy East and West, Vol. 35, No. 1 (Jan., 1985), pages 61-71
  4. ^ Andrew Fort and Patricia Mumme (1996), Living Liberation in Hindu Thought, ISBN 978-0-7914-2706-4
  5. ^ Norman E. Thomas (April 1988), Liberation for Life: A Hindu Liberation Philosophy, Missiology, Volume 16, Number 2, pp 149-160
  6. ^ a b Gerhard Oberhammer (1994), La Délivrance dès cette vie: Jivanmukti, Collège de France, Publications de l'Institut de Civilisation Indienne. Série in-8°, Fasc. 61, Édition-Diffusion de Boccard (Paris), ISBN 978-2868030610, pages 1-9
  7. ^ Gonda, Jan (1977). Medieval Religious Literature in Sanskrit. Harrassowitz. p. 71. ISBN 978-3-447-01743-5.
  8. ^ Geoffrey A. Barborka (1968). The pearl of the Orient: the message of the Bhagavad-Gītā for the Western World. Theosophical Pub. House. p. 155. ISBN 9780835600255.
  9. ^ Jivanmukti, Sanskrit English Dictionary, Koeln University, Germany
  10. ^ Andrew O. Fort (1998). Jivanmukti in Transformation: Embodied Liberation in Advaita and Neo-Vedanta. State University of New York Press. pp. 32–35. ISBN 978-0-7914-3904-3.
  11. ^ Cousens, Gabriel (2009). Spiritual Nutrition. North Atlantic. pp. 7, 35, 41. ISBN 978-1-55643-859-2.
  12. ^ P S Roodurmum (2002). Bhāmatī and Vivaraṇa Schools of Advaita Vedānta: A Critical Approach. Motilal Banarsidass. p. 231. ISBN 978-81-208-1890-3.
  13. ^ Richards, Glyn (2016). Studies in Religion: A Comparative Approach to Theological and Philosophical Themes. Springer. p. 76. ISBN 978-1-349-24147-7.
  14. ^ Rosen, Richard (2002). Yoga Journal. Active Interest. p. 159.
  15. ^ Richards, Glyn (2005). The Philosophy of Gandhi: A Study of His Basic Ideas. Routledge. p. 166. ISBN 978-1-135-79935-9.
  16. ^ See for example Muktika Upanishad, Varaha Upanishad, Adhyatma Upanishad, Sandilya Upanishad, Tejobindu Upanishad, etc.; in K.N. Aiyar (Transl. 1914), Thirty Minor Upanishads, University of Toronto Robart Library Archives, Canada
  17. ^ Paul Deussen, The philosophy of the Upanishads, Translated by A.S. Geden (1906), T&T Clark, Edinburgh
  18. ^ Paul Deussen, Sixty Upanishads of the Veda, Vol 1 & 2, ISBN 978-81-208-1467-7
  19. ^ see: K.N. Aiyar (Transl. 1914), Thirty Minor Upanishads, University of Toronto Robart Library Archives, Canada, pp 140-147
    • S. Nikhilananda (1958), Hinduism: Its meaning for the liberation of the spirit, Harper, ISBN 978-0911206265, pp. 53–79;
    • Andrew Fort (1998), Jivanmukti in Transformation, State University of New York Press, ISBN 0-7914-3904-6
  20. ^ see also Sandilya Upanishad for ahimsa and other virtues; Quote: "तत्र हिंसा नाम मनोवाक्कायकर्मभिः सर्वभूतेषु सर्वदा क्लेशजननम्"; Aiyar translates this as: He practices Ahimsa - no injury or harm to any living being at any time through actions of his body, his speech or in his mind; K.N. Aiyar (Transl. 1914), Thirty Minor Upanishads, University of Toronto Robart Library Archives, Canada, pp 173-174
  21. ^ a b Śaṅkarācārya (1973). Vivekacūḍāmaṇi of Śrī Samkara Bhagavatpāda. Bharatiya Vidya Bhavan. pp. 403–423.
  22. ^ a b Maharshi, Ramana. "Karma and Destiny". Hinduism.co.za. Retrieved 2015-04-08.
  23. ^ Shah-Kazem, Reza (2006). Paths to Transcendence: According to Shankara, Ibn Arabi, and Meister Eckhart. World Wisdom, Inc. pp. 59–60. ISBN 0-941532-97-6.
  24. ^ "Arhat | Buddhism". Encyclopedia Britannica. Retrieved 2021-05-13.
  25. ^ Ranade, R. D. (1986) [1926]. A Constructive Survey Of Upanishadic Philosophy: Being An Introduction To The Thought Of The Upanishads. Mumbai: Bharatiya Vidya Bhavan. p. 157.
  26. ^ A. C. Bhaktivedanta Swami Prabhupada (1972). Bhagavad-Gita As It Is. Mumbai: The Bhaktivedanta Book Trust. p. 621. Archived from the original on 2013-01-09. Retrieved 2013-01-24.

Read other articles:

Nannina de' MediciNobildonnaStemma Nome completoLucrezia di Piero de' Medici NascitaFirenze, 14 febbraio 1448 MorteFirenze, 14 maggio 1493 DinastiaMedici PadrePiero il Gottoso MadreLucrezia Tornabuoni ConsorteBernardo Rucellai FigliCosimo, Piero, Palla, Giovanni, Lucrezia Lucrezia di Piero de' Medici, detta Nannina (Firenze, 14 febbraio 1448 – Firenze, 14 maggio 1493), è stata una nobildonna italiana, figlia secondogenita di Piero de' Medici e Lucrezia Tornabuoni e sorella maggiore d...

 

Untuk kegunaan lain, lihat Kepuh (disambiguasi) KepuhDesaNegara IndonesiaProvinsiJawa BaratKabupatenCirebonKecamatanPalimananKode pos45160Kode Kemendagri32.09.17.2003 Luas... km²Jumlah penduduk... jiwaKepadatan... jiwa/km² Kepuh adalah desa di kecamatan Palimanan, Cirebon, Jawa Barat, Indonesia. Pranala luar (Indonesia) Keputusan Menteri Dalam Negeri Nomor 050-145 Tahun 2022 tentang Pemberian dan Pemutakhiran Kode, Data Wilayah Administrasi Pemerintahan, dan Pulau tahun 2021 (Indonesia...

 

Cet article possède un paronyme, voir Juan Blanco. Juan BrancoJuan Branco en 2019.BiographieNaissance 26 août 1989 (34 ans)EsteponaNom de naissance Juan Paulo Branco LópezNationalités espagnole (depuis 1989)française (depuis le 31 mars 2010)Formation École normale supérieure (doctorat) (jusqu'en 2014)Université Paris-SorbonneUniversité Paris-I-Panthéon-SorbonneInstitut d'études politiques de ParisÉcole alsacienneActivités Avocat, essayistePère Paulo BrancoAutres informatio...

Caribbean island, part of the Cayman Islands Cayman BracCayman Brac from space, 3 March 2007Cayman BracShow map of Cayman IslandsCayman BracShow map of CaribbeanGeographyLocationCaribbeanCoordinates19°43′12″N 79°48′00″W / 19.72000°N 79.80000°W / 19.72000; -79.80000ArchipelagoGreater AntillesAdministration United KingdomTerritory Cayman IslandsLargest settlementWest EndDemographicsPopulation1995[1] (2021) Cayman Brac map. Cayman Brac is an ...

 

ملك فارس أرتحششتا الأول ملك فارس فترة الحكم465 إلى 424 ق م معلومات شخصية تاريخ الميلاد غير معروف الوفاة 424 ق مشوشان  مكان الدفن نقش رستم, بلاد فارس مشكلة صحية ورام ليفي عصبي  الزوجة الملكة داماسبياألوجني البابليةكوسمارتيدين البابليةأنديا البابلية الأولاد سجديانوسأحشوي...

 

منطقة لاندسهوت  علم شعار الاسم الرسمي (بالألمانية: Landkreis Landshut)‏(بالألمانية: Bezirksamt Landshut)‏    الإحداثيات 48°34′N 12°12′E / 48.56°N 12.2°E / 48.56; 12.2   [1] تاريخ التأسيس 1 يوليو 1862  تقسيم إداري  البلد ألمانيا[2]  التقسيم الأعلى بافاريا السفلى  العاص...

American baseball player Baseball player Wes LittletonLittleton with the Texas Rangers in 2008Relief pitcherBorn: (1982-09-02) September 2, 1982 (age 41)Hayward, California, U.S.Batted: RightThrew: RightMLB debutJuly 4, 2006, for the Texas RangersLast MLB appearanceSeptember 26, 2008, for the Texas RangersMLB statisticsWin–loss record5–3Earned run average3.69Strikeouts55 Teams Texas Rangers (2006–2008) Wes Avi Littleton (born September 2, 1982) is an A...

 

ロバート・デ・ニーロRobert De Niro 2011年のデ・ニーロ生年月日 (1943-08-17) 1943年8月17日(80歳)出生地 アメリカ合衆国・ニューヨーク州ニューヨーク市身長 177 cm職業 俳優、映画監督、映画プロデューサージャンル 映画、テレビドラマ活動期間 1963年 -配偶者 ダイアン・アボット(1976年 - 1988年)グレイス・ハイタワー(1997年 - )主な作品 『ミーン・ストリート』(1973年)...

 

Association football club in Aue-Bad Schlema, Germany Football clubErzgebirge AueFull nameFußball Club Erzgebirge Aue e.V.Nickname(s)Veilchen (Violets)Founded4 March 1946; 78 years ago (1946-03-04)GroundErzgebirgsstadionCapacity16,485PresidentHelge LeonhardtHead coachPavel DochevLeague3. Liga2022–233. Liga, 14th of 20WebsiteClub website Home colours Away colours Current season Fußball Club Erzgebirge Aue e.V., commonly known as simply FC Erzgebirge Aue or Erzgebirge Aue ...

ХристианствоБиблия Ветхий Завет Новый Завет Евангелие Десять заповедей Нагорная проповедь Апокрифы Бог, Троица Бог Отец Иисус Христос Святой Дух История христианства Апостолы Хронология христианства Раннее христианство Гностическое христианство Вселенские соборы Н...

 

Земская почтаУезды Алатырский Александрийский Ананьевский Ардатовский Арзамасский Аткарский Ахтырский Балашовский Бахмутский Бежецкий Белебеевский Белозерский Бердянский Бобровский Богородский Богучарский Борисоглебский Боровичский Бронницкий Бугульминский Бу�...

 

New York City Subway service CC (New York City Subway service) redirects here. For the shuttle service that also carried the CC designation, see Rockaway Park Shuttle. New York City Subway serviceEighth Avenue Local168th Street-bound C train of R179s at West Fourth StreetNorthern end168th StreetSouthern endEuclid AvenueStations40Rolling stockR46R179R211T[1][2](Rolling stock assignments subject to change)Depot207th Street Yard Pitkin YardStarted serviceSeptember&...

رمسيس الرابعرعمسيس الرابعفرعون مصرالحقبة1155-1149 ق.م, الأسرة المصرية العشرونسبقهرمسيس الثالثتبعهرمسيس الخامس الألقاب الملكية اسم التتويج: Usermaatre SetepenamunWsr-m3ˁ.t-Rˁ-stp.n-JmnRich in Maat like Ra, the chosen one of Amun After the second yearHeqamaatre SetepenamunḤq3-m3ˁ.t-Rˁ-stp.n-JmnRuler of the Maat like Ra, the chosen one of Amun الاسم الشخصي:&...

 

Dipartimento di ChimbasdipartimentoDepartamento Chimbas LocalizzazioneStato Argentina Provincia San Juan AmministrazioneCapoluogoVilla Paula Albarracín de Sarmiento TerritorioCoordinatedel capoluogo31°29′S 68°32′W / 31.483333°S 68.533333°W-31.483333; -68.533333 (Dipartimento di Chimbas)Coordinate: 31°29′S 68°32′W / 31.483333°S 68.533333°W-31.483333; -68.533333 (Dipartimento di Chimbas) Altitudine639 m s.l.m. Superficie6...

 

У этого термина существуют и другие значения, см. Стена (значения). Эту страницу предлагается переименовать в «Пограничные укрепления Украины».Пояснение причин и обсуждение — на странице Википедия:К переименованию/12 апреля 2019. Пожалуйста, основывайте свои аргументы н...

Extinct species of reptile DacentrurusTemporal range: Late Jurassic, - Early Cretaceous 154–140 Ma PreꞒ Ꞓ O S D C P T J K Pg N Holotype specimen (NHMUK OR 46013), Natural History Museum, London Scientific classification Domain: Eukaryota Kingdom: Animalia Phylum: Chordata Clade: Dinosauria Clade: †Ornithischia Clade: †Thyreophora Clade: †Stegosauria Family: †Stegosauridae Subfamily: †Dacentrurinae Genus: †DacentrurusLucas, 1902 Species: †D. armatus Binomial n...

 

Dari kiri ke kanan: Iron Man, Maria Hill, Carol Danvers, Captain America, dan Black Widow di San Diego Comic-con. Avengers adalah sebuah tim pahlawan super fiksi yang tampil dalam buku-buku komik Amerika yang diterbitkan oleh Marvel Comics. Tim tersebut membuat debutnya dalam The Avengers #1 (sampul tertanggal Sept. 1963), buatan penulis-penyunting Stan Lee dan artis Jack Kirby. Pranala luar Wikiquote memiliki koleksi kutipan yang berkaitan dengan: Avengers (komik). Avengers at the Superhero ...

 

American rapper (born 1974) For other uses, see Nelly (disambiguation). NellyNelly in 2007BornCornell Iral Haynes Jr. (1974-11-02) November 2, 1974 (age 49)Austin, Texas, U.S.EducationUniversity City High SchoolOccupations Rapper singer songwriter actor Years active1993–presentWorksDiscographyfilmographySpouse Ashanti ​(m. 2023)​Children4[a]Family City Spud (half-brother) Yomi Martin (cousin) AwardsFull listMusical careerOriginSt. Louis, Missou...

Not to be confused with Lie group. Algebraic structure → Group theoryGroup theory Basic notions Subgroup Normal subgroup Quotient group (Semi-)direct product Group homomorphisms kernel image direct sum wreath product simple finite infinite continuous multiplicative additive cyclic abelian dihedral nilpotent solvable action Glossary of group theory List of group theory topics Finite groups Cyclic group Zn Symmetric group Sn Alternating group An Dihedral group Dn Quaternion group Q Cauchy's t...

 

Genre of art and literature This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages) This article is written like a personal reflection, personal essay, or argumentative essay that states a Wikipedia editor's personal feelings or presents an original argument about a topic. Please help improve it by rewriting it in an encyclopedic style. (April 2018) (Learn how and when to remove this message) Thi...