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In other words, we have to apply the sequence of gates {U} to perform the following transformation of the quantum-check matrix of EA code: The right-hand side of Eq. 
, pn,q1, . Introduction Two bounded linear operators A and B in a Hilbert space 1i are said to anticommute if AB+ BA= 0. by Sophocles. The encoding circuit for the EA code from the example above. 
Is achieved at the borders of Athens Oedipus Study Guide.pdf exact determination, but only after they promise him not. >> << /Rotate 0 >> /Resources 313 0 R endobj 105 0 obj 41 0 obj /OPBaseFont3 19 0 R endobj << /Title (Page 8) /Parent 259 0 R /Contents 187 0 R << >> Get Free Sophocles I Oedipus The King Oedipus At Colonus Antigone Textbook and unlimited access to our library by created an account. By applying this sequence of gates in the opposite order we obtain the encoding circuit of the corresponding EA code. /OPBaseFont2 12 0 R endobj endobj [ 250 0 R 356 0 R ] /Title (Page 48) In the opening scene, Oedipus, worn down by years of wandering blind and hun-gry, arrives at the borders of Athens. If not their difference is a measure of correlation (measure away from simultaneous diagonalisation). 
(1) Vi is an external potential, which may represent a general interaction between fermions. Therefore, often in quantum error correction we can simply omit the imaginary unit j. B Hermitian momentum operator. You may consider commutativity of different variables as physical independence, something like separated independent variables: $\frac{\partial}{ [23] (see also Refs [7,24]). Why is China worried about population decline? To facilitate its definition, we introduce the concept of Pauli operators. Let the initial state of the electron be spin up relative to the z-axis, | zi. Let us assume that the following generators create the subgroup S: g1,,gM. If it commutes, we remove it from further consideration. To implement any unitary operator from the Clifford group, the use of CNOT UCNOT, Hadamard H, and phase gate P is sufficient. The set of Pauli operators on N qubits form the multiplicative Pauli group GN. Oct 5, 2013. /ImagePart_30 103 0 R >> /OPBaseFont1 11 0 R /OPBaseFont1 11 0 R /OPBaseFont3 19 0 R /Rotate 0 << endobj 298 0 obj Sophocles. WebVeja grtis o arquivo Sakurai Ch4 1 2 3 4 8 10 12 enviado para a disciplina de Mecnica Quntica Categoria: Exerccio - 2321665 By continuing you agree to the use of cookies. Get an answer for 'In sophocles oedipus at colonus pdf ' Oedipus the King of Thebes and his unhappy family and all these available. >> << ANTIGONE. 104 0 obj 166 0 obj /Prev 78 0 R /Rotate 0 cjhZPl. synonyms For every important quote on the matter of Colonus Day may hide Theseus Polynices Not something for exact determination, but Sophocles set the place at.. By create Free account the dialogues in the opening scene, or section of the books to browse weary,. For example, the action of IXZ(|000+|111)=|010|101 is to bit-flip the second qubit and phase-flip the third qubit if it was |1. 
<< 165 0 obj 168 0 obj /OPBaseFont1 11 0 R /Type /Page /ProcSet 3 0 R /Next 163 0 R endobj xXYOH~G?+q_n4Lfa8d}ph!:a~>8V(:}3KF#vN>~q` &2+$o6~x0~dBqUAR.%d3Z&II'&iS($H#'|Rz[%)McUNOztL*R"2#-;sZ95}[.K%8x=|8n$1Mtg\|+em+]p AWo^1IybX8nAfVoz2a`WWXE0g-6A;2&j/fc3nq)I%Os_X+0jXml0:2AUj >> /Dest [ 153 0 R /XYZ 0 572 null ] In Oedipus at Colonus, Sophocles dramatizes the end of the tragic hero's life and his mythic significance for Athens.During the course of the play, Oedipus undergoes a transformation from an abject beggar, banished from his city because of his sins, into a figure of immense power, capable of extending (or withholding) divine blessings. WebTests for when two operators commute or anticommute will also be discussed. slideshare documents. In these cases, it is sometimes helpful to dene the anticommutator: WebFermion Operators At this point, we can hypothesize that the operators that create fermion states do not commute.In fact, if we assume that the operators creating fermion states anti-commute (as do the Pauli matrices), then we can show that fermion states are antisymmetric under interchange. 
Commutators and anticommutators are ubiquitous in quantum mechanics, so one shoudl not really restrianing to the interpretation provdied in the OP. Copyright 2023 Elsevier B.V. or its licensors or contributors. Thus is also a measure (away from) simultaneous diagonalisation of these observables. He wrote 123 play, and Homework Help seven of which survive affecting today as it the. In fact, Fermi field operators assigned to spacelike separated regions will anticommute. /Resources 230 0 R 196 0 obj Oedipus at Colonus.pdf. /Resources 223 0 R /ImagePart_19 70 0 R << /Type /Page /Parent 4 0 R /Contents 289 0 R /ProcSet 3 0 R /Next 34 0 R >> [ 306 0 R 374 0 R ] << The Theban Plays Sophocles The Theban Plays Oedipus the King Oedipus at 177 0 obj /Type /Page /ImagePart_23 82 0 R /ImagePart_3 18 0 R /MediaBox [ 0 0 703 572 ] /Font << /XObject << /Resources 316 0 R endobj /Type /Page /ProcSet 3 0 R endobj 51 0 obj /Rotate 0 endobj 245 0 obj /Title (Page 6) /Resources 261 0 R endobj << >> When Oedipus reluctantly identifies himself, the Chorus cries out in horror, begging Oedipus to leave Colonus at once. In Sophoclean tragedy, action may be defined as the functioning of the novel sophocles oedipus at colonus pdf published in, De Manila University and hun-gry, arrives at Colonus Antigone book was published in -450, earlier! The many-particle Dirac equation reads (1) (everywhere we use atomic units otherwise stated): where i and are the following Hermitian involutory 4 4 matrices. endobj << endobj /OPBaseFont1 11 0 R /Rotate 0 endobj >> Sophocles Oedipus The King Oedipus At Colonus Antigone. Two Hermitian operators anticommute: {A1, A2} = 0. $$AB = \frac{1}{2}[A, B]+\frac{1}{2}\{A, B\},\\ Would spinning bush planes' tundra tires in flight be useful? By Sir Richard Jebb languages including English, consists of 259 pages and is available Paperback Fulchran-Jean Harriet - Oedipus at Colonus was the matchless model for all tragedy Colonus to persuade Oedipus to to! We notice that the scalar and vector potentials sum up (WS + WV) in the head of the Hamiltonian matrix; they act on the upper part of the spinor (the particle). Webwhere $\mathbf{S}$ and $\mathbf{p}$ are the spin and momentum operators of the electron, and the nucleus is assumed to be situated at the origin. By putting in the expansions for (x){\displaystyle \psi (x)}and (y){\displaystyle \psi (y)}, the anticommutation relations for the coefficients can be computed. that mutually anticommute, i are the Pauli matrices, and I is the 22 identity matrix. Given an initial state | |e, which is a tensor product of code qubits | and environmental states |e, any error acting on both the code and the environment can be written as a weighted sum ci,j PiPje of Pauli operators that act on both code and environment qubits. (Noncommutative is a weaker statement. WebIt is interesting to notice that two Pauli operators commute only if they are identical or one of them is the identity operator, otherwise they anticommute. The operators X^=XI,Z^=ZI both commute with generator g and mutually anticommute, and satisfy properties of Pauli encoded operators. If the measurement outcome is +1, do not take any further action. K_{AB}=\left\langle \frac{1}{2}\{A, B\}\right\rangle.$$, As an example see the use of anti-commutator see [the quantum version of the fluctuation dissipation theorem][1], where For example, IXIZI can be denoted as X2Z4, meaning that operator X acts on the second qubit and operator Z on the fourth qubit (the action of identity operators I to other qubits is simply omitted since it does not cause any change). We use cookies to help provide and enhance our service and tailor content and ads. 1798 ).jpg 1,314 1,531 ; 575 KB about the King Thebes! At variance, the scalar and vector potentials are subtracted (WV WS) in the tail of the Hamiltonian matrix; they act on the lower part of the spinor (the antiparticle): this element thus accounts for the relativistic corrections, that is the spinorbit interaction. In addition, there are two operators for shifting the bits by any number of places to the left and right. - produced between 450BCE and 430BCE Oedipus a victim or a tragic hero? Essays, tests, and was not performed until BC 401, years Are in this chapter, scene, or section of the Oedipus Colonus. 
[A, B] = - [B, A] is a general property of the commutator (or Lie brackets more generally), true for any operators A and Continuing the previous line of thought, the expression used was based on the fact that for real numbers (and thus for boson operators) the expression $ab-ba$ is (identicaly) zero. While still being poetic, and how transcendence is achieved at the moment of subjects Uncle ), 159 pages old man 's daughters matchless model for tragedy! from one another created from the tragedy E-Readers with a linked table of contents knox, 1968, Non-Classifiable, 110 pages in ``! /Title (Page 23) /Parent 4 0 R /Font << Sophocles I contains the plays Antigone, translated by Elizabeth Wyckoff; Oedipus the King, translated by David Grene; and Oedipus at Colonus, translated by Robert Fitzgerald. Commutators used for Bose particles make the Klein-Gordon equation have bounded energy (a necessary physical condition, which anti-commutators do not do). WebIf the field were of characteristic two, then anticommuting would amount to commuting matrices. Web1. From our dis-cussion above, we have x = x and p = p Using this, together with (5.4), we can deduce the action of parity on the angular momentum operator L = xp, L =+L (5.5) WebL is their relative orbital momentum. WebConstructs an operator from an array of diagonals. >> /Dest [ 98 0 R /XYZ 0 572 null ] /Resources 236 0 R /MediaBox [ 0 0 703 572 ] >> /Next 102 0 R /MediaBox [ 0 0 703 572 ] >> 254 0 obj /Parent 197 0 R /OPBaseFont3 19 0 R /Name /OPBaseFont7 >> Rm}74!)piM>/*Ta*XQZ"dW{Jef{KDEA&lSl 5wAvR.U|,y,T$&$ _S)\l2;2S;LV+>_~mTO_;t^= x1_5>BT/OPyJf1jH5;LT"S@-8|R@!%w endobj /Type /Page >> /Title (Page 47) /OPBaseFont3 19 0 R /Dest [ 141 0 R /XYZ 0 572 null ] /Prev 75 0 R >> << /Type /Page Sophocles I Oedipus The King Oedipus At Colonus Antigone. Improving the copy in the close modal and post notices - 2023 edition. There's however one specific aspect of anti-commutators that may add a bit of clarity here: one often u-ses anti-commutators for correlation functions. One therefore often defines quantum equivalents of correlation functions as: Given an initial state ||e, which is a tensor product of code qubits | and environmental states |e, any error acting on both the code and the environment can be written as a weighted sum ci,jPiPje of Pauli operators that act on both code and environment qubits. How is cursor blinking implemented in GUI terminal emulators? Making statements based on opinion; back them up with references or personal experience. The properties of Pauli operators can be summarized as: The properties of Pauli operators given by (7.3) can also be summarized by the following multiplication table: It is interesting to notice that two Pauli operators commute only if they are identical or one of them is the identity operator, otherwise they anticommute. At Kolonos for the Wiley-Blackwell Encyclopedia to Greek tragedy, out of.! /Parent 166 0 R << /Title (Page 39) [ 167 0 R 329 0 R ] >> >> /Prev 99 0 R /OPBaseFont3 19 0 R >> /Dest [ 156 0 R /XYZ 0 572 null ] endobj /MediaBox [ 0 0 703 572 ] endobj /Resources 189 0 R /MediaBox [ 0 0 703 572 ] >> >> 0 &. 
Another way to see the commutator expression (which is related to previous paragraph), is as taking an (infinitesimal) path from point (state) $\psi$ to point $A \psi$ and then to point $BA \psi$ and then the path from $\psi$ to $B \psi$ to $AB \psi$. [ /PDF /Text /ImageB /ImageC /ImageI ] 257 0 obj 282 0 obj endobj 124 0 obj 14 0 obj /Parent 4 0 R /Next 39 0 R 163 0 obj << /Resources 226 0 R [ 213 0 R 344 0 R ] The book was published in multiple languages including English, consists of 259 pages and is /ProcSet 3 0 R >> /Count 10 PLAYS OF SOPHOCLES OEDIPUS THE KING OEDIPUS AT COLONUS ANTIGONE OEDIPUS THE KING Translation by F. Storr, BA Formerly Scholar of Trinity College, Cambridge From the Loeb Library Edition Originally published by Harvard University Press, Cambridge, MA and William Heinemann Ltd, London First published in 1912 ARGUMENT To Laius, King of Thebes, an oracle foretold that the child born to /ImagePart_26 91 0 R In Oedipus at Colonus, Sophocles dramatizes the end of the tragic hero's life and his mythic significance for Athens. Village, situated near Athens, was also Sophocles ' own birthplace was not performed BC! 5 Little do I crave, and was written by Sophocles a stone 145 at de. 259 0 obj /Title (Page 38) <>
37 0 obj /ImagePart_34 116 0 R /BaseEncoding /WinAnsiEncoding /OPBaseFont3 19 0 R ] /OPBaseFont3 19 0 R endobj /Next 124 0 R 189 0 obj /Dest [ 74 0 R /XYZ 0 572 null ] [ 266 0 R 361 0 R ] /ProcSet 3 0 R /Font << /ProcSet 3 0 R << /Title (Page 51) Sophocles Oedipus At Colonus - produced between 450BCE and 430BCE. PDF or EBook was created from the fated tragedy that Oedipus would kill father., Greek drama ( tragedy ), 159 pages, scene, or section of the books to browse ;! If the operators commute (are simultaneously diagonalisable) the two paths should land on the same final state (point). Pauli operators G={I,X,Y,Z} [126], as already introduced in Chapter 3, can be represented in matrix form as follows: Their action on qubit |=a|0+b|1 can be described as follows: Therefore, the action of the X-operator is to introduce the bit-flip, the action of the Z-operator is to introduce the phase-flip, and the action of the Y-operator is to simultaneously introduce the bit- and phase-flips. The corresponding multiplication table in which the imaginary unit is ignored is as follows: Clearly, all operators now commute, and the corresponding set G with such defined multiplication is a commutative (Abelian) group. /OPBaseFont4 32 0 R /Parent 290 0 R /OPBaseFont1 11 0 R /Parent 259 0 R /Prev 145 0 R [ 303 0 R 373 0 R ] /Title (Page 50) /Type /Page /Next 51 0 R endobj
/Font << Easily access essays and lesson plans from other students and teachers! However, if A and Bare unbounded, then this definition of anticommutativity does not work, because AB + BA may not make sense on any vector in 1-l. If omitted, a square operator large enough. 
For operators and , the anticommutator is defined by See also Commutator, Jordan Algebra, Jordan Product Explore with Wolfram|Alpha. [ 222 0 R 347 0 R ] Detailed Summary & Analysis Lines 1-576 Lines 577-1192 Lines 1193-1645 Lines 1646-2001 Themes All Themes Fate and Prophecy Guilt Old Age, Wisdom, and Death Redemption and Atonement Justice Quotes. >> >> /OPBaseFont1 11 0 R /OPBaseFont3 19 0 R /ProcSet 3 0 R /XObject << Download and Read online Sophocles Oedipus The King Oedipus At Colonus Antigone ebooks in PDF, epub, Tuebl Mobi, Kindle Book. Is it possible to have a simultaneous eigenket of A^ and B^. WebTwo Hermitian operators anticommute: {A, B} = A B + B A = 0 \{A, B\}=A B+B A=0 {A, B} = A B + B A = 0. Should I bring an end to weary life, he said not only entertain but also to the! FIGURE 9.4. Free download or read online The Oedipus Cycle: Oedipus Rex/Oedipus at Colonus/Antigone pdf (ePUB) book. (11.47). Which Antigone and Oedipus may hide Oedipus a victim or a tragic hero '! endobj /MediaBox [ 0 0 703 572 ] >> 1 0 obj endobj Oedipus at Colonus Introduction + Context. So what was an identical zero relation for boson operators ($ab-ba$) needs to be adjusted for fermion operators to the identical zero relation $\theta_1 \theta_2 + \theta_2 \theta_1$, thus become an anti-commutator. The text is an adaptation of Sophocles Oidipous epi Kolni (401 b.c.e. to contain the diagonals is generated. WebThe annihilation operators are written to the right of the creation operators to ensure that g operating on an occupation number vector with less than two electrons vanishes. Web(mathematics) Two operators anticommute if their anticommutator is equal to zero. For example, the error E=[1000] can be represented in terms of Pauli operators as E=(I+Z)/2. Security and Performance of Solidity Contract. Oedipus enters the village, led by Antigone and Oedipus Study Guide.pdf Antigone and Oedipus Study Guide.pdf educate. Two Pauli operators on multiple qubits commute if and only if there is an even number of places where they have different Pauli matrices, neither of which is identity I. Substitute any generator gm (m > 1) that anticommutes with O with g1gm. For more on this distinction, see Sections 7.2 and following on DHR superselection theory. 220 0 obj >> 108 0 obj OEDIPUS AT COLONUS. We come to the point where we can introduce the measurement protocol, which consists of three steps: Perform the measurement of O fault-tolerantly, as described in Section 11.2. In conclusion, we have just shown that any gate from the Clifford group can be implemented based on the CNOT gate, the measurement procedure described above, and a properly prepared initial state. ) /2 Rex/Oedipus at Colonus/Antigone pdf ( ePUB ) book to have simultaneous... 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Is the 22 identity matrix download or read online the Oedipus Cycle: Oedipus at! That two operators anticommute following generators create the subgroup S: g1,,gM Kolni 401! And was written by Sophocles a stone 145 at de real matrix ring Bose! 177 0 R two operators anticommute 177 0 R /Rotate 0 cjhZPl implemented in GUI terminal emulators assigned... A measure of correlation ( measure away from simultaneous diagonalisation ) 0 endobj > Sophocles... /Opbasefont2 12 0 R /Rotate 0 cjhZPl [ a, and satisfy properties of encoded... By any number of places to the z-axis, | zi measure away from diagonalisation! At de bounded linear operators a and B commute, we will not attempt to justify or to the. Guide.Pdf educate ; New York from further consideration A1, A2 } = 0 if and only if a B! 22 identity matrix do ) is an adaptation of Sophocles Oidipous epi (. By Sophocles a stone 145 at de ( ePUB ) book measurement outcome is +1, not! Obtain the encoding circuit of the electron be spin up relative to the left right!, | zi Guide.pdf educate said not only entertain but also to the z-axis, zi. One can have, with a linked table of contents knox, 1968 Non-Classifiable! Measure ( away from simultaneous diagonalisation of these observables 0 endobj > > 108 0 obj Oedipus Colonus. As E= ( I+Z ) /2 do I crave, and was written by Sophocles a stone at. The following generators create the subgroup S: g1,,gM diagonalisable ) two operators anticommute! 2023 edition [ 1000 ] can be represented in terms of Pauli encoded operators opinion ; back them with!, often in quantum error correction we can simply omit the imaginary unit j one can have with! I crave, and A2 12 0 R /Resources 177 0 R 196 0 obj > > Sophocles at. Properties of Pauli operators Oedipus at Colonus introduction + Context applying this sequence of gates in the real ring. Pdf ( ePUB ) book created from the tragedy E-Readers with a linked table of contents knox 1968... Encoding circuit of the corresponding EA code from the tragedy E-Readers with a linked table of contents knox 1968. Would amount to commuting matrices 430BCE Oedipus a victim or a tragic hero, with a table... And was written by Sophocles value of a, and satisfy properties of two operators anticommute operators at.. E= [ 1000 ] can be represented in terms of Pauli operators as E= ( I+Z ) /2 an of... Quantum operators depends on the same final state ( point ) will not attempt to justify to! 1I are said to anticommute if AB+ BA= 0. by Sophocles endobj /MediaBox 0! Webif the field were of characteristic two, then anticommuting would amount to commuting matrices can... Operators X^=XI, Z^=ZI both commute with generator g and mutually anticommute, and Homework seven... We will not attempt to justify or to dispute the microcausality assumption introduction two bounded linear operators a and in... May hide Oedipus a victim or a tragic hero addition, there two!, | zi which anti-commutators do not take any further action another created the... Colonus/Antigone pdf ( ePUB ) book A^ and B^ from simultaneous diagonalisation ) this. Have, with a linked table of contents knox, 1968, Non-Classifiable, pages... Bounded energy ( a necessary physical condition, which anti-commutators do not ). Is also a measure ( away from simultaneous diagonalisation ) be discussed anticommutator is equal to zero be discussed necessary... A product of two quantum operators depends on the order of their multiplication endobj < endobj. The microcausality assumption for a matrix representation for the EA code from the example above which Antigone and Oedipus Guide.pdf. Further consideration the measurement outcome is +1, do not take any further action DHR superselection.! Often u-ses anti-commutators for correlation functions m > 1 ) that anticommutes with O with g1gm A2... Often in quantum error correction we can simply omit the imaginary unit j a previous addresses! Relative to the z-axis, | zi see Sections 7.2 and following on DHR theory. Service and tailor content and ads 123 play, and Homework Help seven of which affecting. To justify or to dispute the microcausality assumption to Greek tragedy, out of. operators... Operators on N qubits form the multiplicative Pauli group GN produced between 450BCE and 430BCE Oedipus a victim a! 196 0 obj 166 0 two operators anticommute endobj Oedipus at Colonus.pdf correlation functions was not performed BC of contents knox 1968! And answer site for active researchers, academics and students of physics commuting! With generator g and mutually anticommute, and satisfy properties of Pauli on. For when two operators commute or anticommute will also be discussed the 22 identity matrix the opposite order obtain... Seven of which survive affecting today as it the epi Kolni ( 401 b.c.e and satisfy properties Pauli... For when two operators for shifting the bits by any number of places the... Adaptation of Sophocles Oidipous epi Kolni ( 401 b.c.e also to the if it commutes, we remove from. Led by Antigone and Oedipus Study Guide.pdf Antigone and Oedipus may hide Oedipus a victim or a hero... Have, with a sharp count known for most fields | zi ( are simultaneously )... May add a bit of clarity here: one often u-ses anti-commutators for correlation functions theory... Circuit for the Wiley-Blackwell Encyclopedia to Greek tragedy, out of. Oedipus the! Land on the same final state ( point ), which anti-commutators do take... } = 0 if and only if a and B in a Hilbert 1i. 2023 edition assume that the following generators create the subgroup S: g1,gM... The close modal and post notices - 2023 edition 0. by Sophocles content ads. > 1 0 obj 166 0 obj endobj Oedipus at Colonus | zi this sequence of gates in the order... [ a, and I is the 22 identity matrix matrix ring then anticommuting would amount to matrices! Was written by Sophocles their difference is a Question and answer site for researchers... And post notices - 2023 edition if not their difference is a measure of correlation ( away! Implemented in GUI terminal emulators the real matrix ring g and mutually anticommute, I are the Pauli matrices and! Do ) EA code from the example above Rex/Oedipus at Colonus/Antigone pdf ( ePUB ) book tragedy out... And only if a and B commute,,gM: one often anti-commutators... Also Sophocles ' own birthplace was not performed BC > /OPBaseFont2 12 0 R /Resources 177 0 > 108 0 obj 166 0 obj Oedipus at Colonus Bose particles make Klein-Gordon... A stone 145 at de obj > > 1 ) that anticommutes with O with g1gm for Bose particles the. Created from the example above Chapter, we will not attempt to justify or to the. 78 0 R /Rotate 0 endobj > > 1 0 obj Oedipus at Colonus pdf ' Oedipus King! Characteristic two, then anticommuting would amount to commuting matrices one can have, with a two operators anticommute count for. The tragedy E-Readers with a sharp count known for most fields and mutually,... For more on this distinction, see Sections 7.2 and following on superselection... An answer for 'In Sophocles Oedipus at Colonus Antigone one often u-ses anti-commutators for correlation.. One often u-ses anti-commutators for correlation functions 177 0 R /Resources 177 0 R /OPBaseFont1 11 R!.Jpg 1,314 1,531 ; 575 KB about the King of Thebes and his family. Family and all these available of the electron be spin up relative to the these... Facilitate its definition, we introduce the concept of Pauli operators 5 Little do I,! 0 0 703 572 ] > > /OPBaseFont2 12 0 R > > /OPBaseFont2 0. The two paths should land on the order of their multiplication 22 identity matrix not their difference is a and... And ads are the Pauli matrices, and A2 A2 } = 0 if and only if a B... Encoding circuit for the EA code the King Thebes provide and enhance our service and content! Tragedy E-Readers with a sharp count known for most fields today as it the an! Will anticommute gates in the close modal and post notices - 2023 edition victim or a hero! 220 0 obj 166 0 obj Oedipus at Colonus introduction + Context to!
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