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An image that renders the following text: Lemma 7.4. Let h 1 , h 2 , g 1 , g 2 , Cs 24 be as in Definition 7.3. Then: 1. The group Cs 24 is a group of automorphisms of ˆ S 4 that preserve the conic bundle ( ˆ S 4 , π ) , i.e. Cs 24 ⊂ Aut( ˆ S 4 , π ) . 2. The action of g 1 and g 2 on the set of irreducible rational curves of negative self-intersection is respectively: ( f E 1 g D 23 )( E 2 D 12 )( E 3 D 13 )( E 4 E 5 )( D 14 D 15 ) , ( f E 1 g D 23 )( E 2 D 13 )( E 3 D 12 )( E 4 D 14 )( E 5 D 15 ) . In particular, both g 1 and g 2 twist the conic bundle ( ˆ S 4 , π ) . 3. Both g 1 and g 2 are elements of order 4 and ( h 1 ) 2 = ( h 2 ) 2 = ( x : y : z ) 7→ ( − x : y : z ) . Thus ( g 1 ) 2 = ( g 2 ) 2 ∈ ker π is an automorphism of ˆ S 4 which leaves every divisor of negative self-intersection invariant. 4. The group Cs 24 is isomorphic to Z / 2 Z × Z / 4 Z and the action on the basis of the fibration π yields the exact sequence 1 → < ( h 1 ) 2 > ∼ = Z / 2 Z → Cs 24 π → < π ( h 2 ) > ∼ = ( Z / 2 Z ) 2 → 1 . π ( h 1 ) , 5. The group Cs 24 contains no involution that twists the conic bundle ( ˆ S 4 , π ) . In particular, no element of Cs 24 fixes a curve of positive genus. 6. The pair ( Cs 24 , ˆ S 4 ) and the triple ( Cs 24 , ˆ S 4 , π ) are both minimal. Proof. Observe first that h 1 and h 2 preserve the pencil of lines of P 2 passing through the point A 1 = (1 : 0 : 0), so g 1 , g 2 are birational transformations of ˆ S 4 that send a general fibre of π on another fibre. Then, we compute ( h 1 ) 2 = ( h 2 ) 2 = ( x : y : z ) 7→ ( − x : y : z ). This implies that both h 1 and h 2 are birational maps of order 4. Note that the lift of h 1 on the surface S 6 is the automorphism κ 1 , − 1 : u0000 ( x : y : z ) , ( u : v : w ) u0001 7→ u0000 ( u : w : − v ) , ( x : z : − y ) u0001 (see Example 4.5). Since this automorphism permutes A 4 and A 5 , its lift on ˆ S 4 is biregular. The action on the divisors with negative self-intersection is deduced from that of κ 1 , − 1 (see Lemma 4.6). Compute the involution h 3 = h 1 h 2 = ( x : y : z ) 99K ( x ( y + z ) : z ( y − z ) : − y ( y − z )) . Its linear system is { ax ( y + z ) + ( by + cz )( y − z ) = 0 | ( a : b : c ) ∈ P 2 } , 24
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This portrayal has What House? Awards 2012, and notes what,house?,AWARDS,2012,with,athouse,.co.uk.
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We find Darling A Beautiful Thing depicted, and darling,,beautiful,a,is,thing,never,perfect present.
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A 512x512 white background image. The image features a layout where the image and text are interspersed, with the image and text appearing separately. And the text will be positioned around it based on the given bounding boxes.
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1. The image shows a modern building with large glass windows and a contemporary design. People are walking around the plaza in front of the building, which features a mix of glass and wooden elements. There is a sign with a person's face in the foreground. Bbox [207, 190, 506, 489]
For text elements should be displayed independently in font Garamond:
1. "International Convention Centre Sydney The International Convention Centre Sydney is an" in size 78, Bbox [5, 3, 506, 178]
2. "The International Convention Centre Sydney (ICC" in size 83, Bbox [5, 194, 232, 487]
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A dimly lit study with a sleek desk, a warm lamp casting soft shadows, and a stack of books, all under the serene glow of the text : ''Amidst a dimly lit, minimalist study, a single, perfectly placed piece of pure crimson paper exudes elegance, its subtle nuances enhanced by a warm, soft glow and the soothing ambiance of a serene environment''.
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A 512x512 white background image. The image features a layout where the image and text are interspersed, with the image and text appearing separately. And the text will be positioned around it based on the given bounding boxes.
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1. The image shows a person with their eyes closed, and a green hand is gently touching their head. The background is a solid orange color. Bbox [307, 85, 506, 284]
2. The image is a book cover for Mrs. Caliban by Rachel Ingalls. It features a woman with her eyes closed and hands covering her face, set against a red background. The cover also includes a quote from The New Yorker and the author's name. Bbox [332, 290, 506, 464]
For text elements should be displayed independently in font TimesNewRomanPS-ItalicMT:
1. "He looked exactly like the statues of" in size 69, Bbox [5, 5, 505, 44]
2. "gods, except that his head was" in size 70, Bbox [5, 85, 291, 166]
3. "slightly larger and rounder than it" in size 70, Bbox [5, 290, 264, 371]
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A 512x512 text image with the following settings: font_size 65, font_color [16, 21, 31] displaying the text: Now Marlana is happy. Marlana now has full custody of his baby daughter and couldn't be happier.
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An image that renders the following text: a general property: both susceptibilities are proportional to the static fluctuations. In our case, M = M s < cos ( ϕ ) > is the equilibrium mean value of the magnetization (projected over the wire axis). We have M = 2 πM s R π 0 cos ( ϕ ) e − V ( H,ϕ ) /kT sinϕdϕ /Z , where Z ( H, T ) is the partition function and V ( ⃗ H, ϕ ) is composed by an anisotropy term Ksin 2 ( ϕ ) and the Zeeman term − ⃗ M. ⃗ H (Eq. (2)). The thermal susceptibility writes: χ T = − HM s kT 2 ( ⟨ cos ( ϕ ) cos ( θ − ϕ ) ⟩−⟨ cos ( ϕ ) ⟩⟨ cos ( θ − ϕ ) ⟩ ) kT 2 u0000 ⟨ cos ( ϕ ) sin 2 ( ϕ ) ⟩−⟨ sin 2 ϕ ⟩⟨ cos ( ϕ ) ⟩ u0001 (11) + K On the other hand, the field susceptibility writes: χ H = M s kT ( ⟨ cos ( ϕ ) cos ( θ − ϕ ) ⟩−⟨ cos ( ϕ ) ⟩⟨ cos ( θ − ϕ ) ⟩ ) (12) The following relation between the susceptibilities is obtained: χ T = − H T χ H + K kT 2 u0000 ⟨ cos 3 ϕ ⟩−⟨ cos 2 ϕ ⟩⟨ cosϕ ⟩ u0001 (13) It is hence possible to identify the contributions due to the field susceptibility (first term in the right hand side in Eq. (13), and the correction due to the fluctuations of higher order. In Fig. 6, both profiles are superimposed : the contribution ( H.χ H /T ) is deduced from the measured AMR (red dashed line) and a 3 /I is measured with our protocol. The deviation is due to the contribution of the fluctuations of higher order, that tends to reduce the apparent anisotropy (the minima are pushed toward zero). This observation will be useful in order to understand the effect of high current injection in the next section. C. Ferromagnetic Entropy and spin-transfer It has been shown that the spin-transfer effect occurs in these samples while injecting a DC current (or pulsed current) with a density of the order of 10 7 A/cm 2 [12, 14, 15]. The spin-transfer is evidenced by the shift of the switching field, i.e. the shift of the position of the irreversible jump, proportional to the current above a given threshold of the order of 10 7 A/cm 2 . A decrease of the switching field by a factor up to 50 % [15] has been observed. The after-effect measurements (or ferromagnetic relaxation) show that the effect 13
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The frame shows Daredevil: Road Warrior Infinite Comic #3 (of 4), and DAREDEG,WARRIOR,ROAD,NFINITE,MARVEL,003,comics as well.
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A 512x512 text image with the following settings: font_size 80 , font_color [29, 40, 59] displaying the text: there are plenty of other ways to do that outside of a conference setting.
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An image that renders the following text: of the Urbach’s tail in the absorption edge was neglected [9]. Therefore, the exponential tail of the direct absorption edge could have been considered as a part of the fundamental absorption, leading to a different characterization of the band-gap and an underestimation of its energy. Recently, Betancourt et al. have studied the optical properties of Cd 1-x Mn x In 2 S 4 alloys for different samples with x < 0.2 [16], being all the studied samples direct band-gap materials. An extrapolation of the band-gap energies (E g ) reported in Ref. [16] to x = 0 (i.e. for CdIn 2 S 4 ) yields E g = 2.45 eV, which confirms our conclusions giving additional support to the hypothesis that E g was underestimated in Ref. [9]. In Figs. 1(a) and 2(a) it can be seen that the absorption spectra of the spinel phase of CdIn 2 S 4 and MgIn 2 S 4 move towards higher energies under compression up to near 10 GPa and 8.5 GPa, respectively. However, in Fig. 3(a) it can be observed that spinel MnIn 2 S 4 shows an absorption edge that slightly moves towards higher energies only up to near 3 GPa and beyond this pressure it starts to move towards lower energies up to 7.2 GPa. A sudden red-shift jump of the absorption edge is observed in the three compounds at 10 GPa (CdIn 2 S 4 ), 8.5 GPa (MgIn 2 S 4 ), and 7.2 GPa (MnIn 2 S 4 ). This jump in the absorption edge occurs together with a color change of the samples, suggesting the occurrence of a pressure-induced band-gap collapse which could be indicative of a pressure-induced phase transition. The measured absorption spectra of the three spinels have been analyzed assuming that the band-gap is of direct type and that the absorption edge obeys the Urbach’s rule U g E h E e A /) ( 0 ν α − − = [15]. In this equation E U is the Urbach’s energy, which is related to the steepness of the absorption tail, and 0 U A k E = for a direct band-gap [15], being k a characteristic parameter of each material. In order to simplify the interpretation of our experimental results, we assumed k to be pressure-independent 5
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A 512x512 text image with the following settings: font_size 37, font_type helveti, rotation_degree -37, font_color [17, 100, 142], alignment center, displaying the text: The music was composed by Vidyasagar with cinematography by Sevilo Raja and editing by Jeyakumar. Upon release
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A 512x512 text image with the following settings: font_size 294 , font_type The_Dark_Jackal , font_color [157, 35, 59] displaying the text: In 2015
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A 512x512 text image with the following settings: font_size 367 , font_color [78, 167, 187] displaying the text: me too.
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A 512x512 text image with the following settings: font_size 62, font_type helveti, rotation_degree 23, font_color [0, 0, 0], alignment center, displaying the text: Talisa receives his salary. Talisa receives his salary and is very happy.
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A 512x512 white background image. The image features a layout where the image and text are interspersed, with the image and text appearing separately. And the text will be positioned around it based on the given bounding boxes.
For image elements:
1. Two basketball players, one in white and one in red, are on a court. The player in white is jumping, while the player in red is on the ground, seemingly after a fall. The white player is wearing the number 10, and the red player is wearing the number 9. Bbox [5, 245, 209, 494]
For text elements should be displayed independently in font LucidaHandwritingStd-Black:
1. "Kobe Bryant" in size 120, Bbox [77, -13, 946, 151]
2. "Kobe Bean Bryant was an American professional" in size 65, Bbox [5, 81, 506, 165]
3. "National team career" in size 77, Bbox [5, 185, 506, 239]
4. "Bryant declined to play in the 2000 Olympics" in size 83, Bbox [215, 240, 495, 497]
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Present is We Back Tour Summer 2020, and accompanying JASONALDEAN,WE,BACK,TOUR,VIP,EXPERIENCE,SUMMER,2020.
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A 512x512 white background image. The image features a layout where the image and text are interspersed, with the image and text appearing separately. And the text will be positioned around it based on the given bounding boxes.
For image elements:
1. The image shows a white BYD electric car parked in front of a building with Chinese text on the walls. The car has a modern design with a sleek front grille and headlights. Bbox [207, 85, 506, 384]
For text elements should be displayed independently in font ComicSansMS:
1. "BYD F0" in size 90, Bbox [11, -17, 326, 108]
2. "The BYD F0, formerly known as BYD F1, is a city Its 1.0 litre petrol engine produces 50 kW" in size 90, Bbox [5, 77, 493, 498]
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The scene: give blood and have a life magnet, with give, Life, andJave, Life, giftef, the, give included.
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A 512x512 white background image. The image features a layout where the image and text are interspersed, with the image and text appearing separately. And the text will be positioned around it based on the given bounding boxes.
For image elements:
1. The image shows a tall, modern office building with numerous windows, located in an urban area. The building is surrounded by other structures and a traffic light is visible on the right side. Bbox [5, 245, 229, 506]
For text elements should be displayed independently in font Arial-BoldItalicMT:
1. "List of tallest buildings in Calgary" in size 62, Bbox [5, 0, 506, 35]
2. "At a municipal population of 1,267,344 as of" in size 82, Bbox [5, 85, 506, 180]
3. "Buildings" in size 82, Bbox [318, 190, 506, 236]
4. "This list ranks buildings in Calgary that stand" in size 87, Bbox [235, 245, 487, 503]
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A 512x512 text image with the following settings: font_size 108, font_color [116, 76, 18] displaying the text: held May 27, 28 and 29 2016 featured
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This portrayal: the greater smithtown chamber of commerce logo, with GREATER, THE, SMITHTO, MERCE, CHAM, COM, BER, OF displayed.
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This image illustrates Tortured Skye (The Hawke Family, #2) | Gwyn McNamee |, and we notice TORTURED,SKYE,NOVEL,FAMILY,AHAWKE,GWYN,MCNAMEE written.
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A 512x512 text image with the following settings: font_size 52, font_type helveti, rotation_degree 25, font_color [111, 131, 110], alignment center, displaying the text: as its primordial abundance is more reliable than that of other light isotopes ( @xmath1 in particular ).
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An image that renders the following text: arXiv:0704.0167v1 [hep-ph] 2 Apr 2007 Low Energy Aspects of Heavy Meson Decays . ∗ Jan O. Eeg Department of Physics, University of Oslo, P.O.Box 1048 Blindern, N-0316 Oslo, Norway I discuss low energy aspects of heavy meson decays, where there is at least one heavy meson in the final state. Examples are B − B mixing, B → D D , B → Dη ′ , and B → Dγ . The analysis is performed in the heavy quark limit within heavy-light chiral perturbation theory. Coefficients of 1 /N c suppressed chiral Lagrangian terms (beyond factorization) have been estimated by means of a heavy-light chiral quark model. PACS numbers: PACS numbers 13.20.Hw , 12.39.St , 12.39.Fe , 12.39.Hg 1. Introduction In this paper we consider non-leptonic “heavy meson to heavy meson(s)” transitions, for instance B − B -mixing [1], B → D ¯ D [2] and with only one D -meson in the final state, like B → Dη ′ [3] and B → γ D ∗ [4, 5, 6]. The methods [7] used to describe heavy to light tansitions like B → ππ and B → Kπ are not suited for the decays we consider. We use heavy-light chiral perturbation theory (HL χ PT). Lagrangian terms corresponding to factorization are then determined to zeroth order in 1 /m Q , where m Q is the mass of the heavy quark ( b or c ). For B − B -mixing we have also calculated 1 /m b corrections [1]. Colour suppressed 1 /N c terms beyond factorization can be written down, but their coefficients are unknown. However, these coefficients can be cal- culated within a heavy-light chiral quark model (HL χ QM) [8] based on the heavy quark effective theory (HQEFT) [9] and HL χ PT [10]. The 1 /N c suppressed non-factorizable terms calculated in this way will typically be proportional to a model dependent gluon condensate [1, 2, 3, 6, 8, 11]. ∗ Presented at the Euridice meeting in Kazimierz, Poland, 24-27th of august 2006 (1)
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A 512x512 text image with the following settings: font_size 87, font_color [101, 122, 105] displaying the text: and since 2003 also at the University of Frankfurt (Germany).
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The image is a table that illustrates the concept of the mathematical constant ( e ), which is approximately equal to 2.71828. The table is titled Existence of e and includes a reference to Appendix B at the top. The table is structured with two columns and six rows, excluding the header row. The columns are labeled ( n ) and ( left(1 + frac{1}{n}right)^n ).nnHere is the table in markdown format:nn```markdownn| n | (left(1 + frac{1}{n}right)^n
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A 512x512 text image with the following settings: font_size 149, font_type Meadgold-DOXM3, rotation_degree 18, font_color [19, 30, 17], alignment right, displaying the text: ""It's going to be alright.
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The view shows Men's Spring/Summer Collection 2018, and we see Men',S,Summer,Spring,Collection,2018,RhondoLynette.
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A 512x512 text image with the following settings: font_size 222, font_type ZooeysDiary, rotation_degree -1, font_color [103, 97, 102], alignment left, displaying the text: That's the most important thing.
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A 512x512 text image with the following settings: font_size 57, font_type helveti, rotation_degree -11, font_color [202, 37, 203], alignment center, displaying the text: "He also added that dogs that are born of a mixed breed between the Molossian and the Laconian dogs are remarkable for courage and endurance of hard labor.
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Here is Computer Literacy Foundations of Information Systems Infrastructure, and we see Computer,literacy,foundations,of,information,systems,infrastructure.
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A 512x512 text image with the following settings: font_size 50 , font_type CalligraphyBrillian-X3mEg , font_color [176, 48, 118] displaying the text: using the freedson equation the cut - off point of 4 mets equated to a mean activity count of 1834 countsmin at baseline
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We note Action Verbs and Descriptive Adjectives Poster Bundle, and we can see POWER,VERBS,ADJECTIVES,POWER,POSTERS!,AP,YOURADJECTIVED!.
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A 512x512 text image with the following settings: font_size 35, font_type helveti, rotation_degree 2, font_color [25, 32, 31], alignment left, displaying the text: She told him that he needed to work harder if he wanted to succeed in life.
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A 512x512 text image with the following settings: font_size 121, font_type helveti, rotation_degree -36, font_color [58, 6, 12], alignment right, displaying the text: the dam leaked
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A 512x512 text image with the following settings: font_size 72displaying the text: exclaimed Mr. Mathew, "they will take some time to reload such pieces. "
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A 512x512 text image with the following settings: font_size 61, font_type helveti, rotation_degree 31, font_color [8, 22, 99], alignment center, displaying the text: It was my fault and I'll fix it. Thank you for taking responsibility
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The picture: Theory and Technology of Sheet Rolling: Numerical Analysis and Applications, and Theory,and,Technology,Sheet,of,Rolling,and as text.
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This snapshot reveals Cengage Learning Music Theory For Computer Musicians, and music,theory,for,computer,musicians,hewitt,michael text.
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The image is a slide from a presentation, titled Example 1. The slide contains a mathematical problem related to the distance formula. The problem is stated as follows:nn4. Use the distance formula utilizing this point on the line and the point not on the line.n(1, 5), (-2, 2)nnThe slide is dated Thursday, January 5, 2012, at the bottom left corner.nn### Analysis and DescriptionnnThe problem presented on the slide involves the application of the distance formula in a coordinate plane. The distance formula is given by:nn[ d = sqrt{(x_2
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A 512x512 text image with the following settings: font_size 26, font_color [136, 133, 149] displaying the text: Three angels with their heads behind a band of cloud appear on either side of the centre line as do the Sun and the Moon (which signify the cosmological significance of the scene), Mary and John Longinus with the lance and Stephaton with the vinegar sponge, and finally the blessed who rise from sarcophagi in pairs. In the scene below the cross the angel mediates between the empty tomb on the left with two sleeping guards next to it and the three women approaching with anointing vessels at right. The back cover is an image of the enthroned Pope Gregory the Great in "Opus interrasile".
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In the picture, How To Make Money On Instagram ($100 - $250 PER DAY 2018) is present, and so is the text MONEY,MAKE,WITH,INSTAGRAM,$$55,$100,/DAY).
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A representation capturing a set of three vertical banners with a modern design, featuring geometric patterns and abstract shapes in blue and white against a black background. The text: 'COVER DESICNTEMPLATE HEAD ROLLUP STAND design shutterstock.com1121428265.'
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COVER DESICNTEMPLATE HEAD ROLLUP STAND design shutterstock.com1121428265
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A 512x512 text image with the following settings: font_size 91, font_color [23, 171, 133] displaying the text: It's so good to see you, buddy! You too, man.
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The depiction: the cover of waste, with tomatoes on it, with Tristra, Stuart, WASTE, the, Global, Uncovering, Food, Scandal inscribed.
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The scene: Wayne's Way Plumbing Heating and Air Conditioning, with W,Way,ayne's,Conditioning,Air,Plumbing,Heating,and present.
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A 512x512 text image with the following settings: font_size 87, font_type estirada, rotation_degree -1, font_color [118, 121, 142], alignment center, displaying the text: it is prudent for clinicians to be aware of the characteristics of space closure devices in order to make a good choice.
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We see Massage Therapists Do It With Healing hands Poster, and MASSAGE,THERAPISTS,With,It,Do,Healing,Hands displayed as well.
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A 512x512 white background image. The image features a layout where the image and text are interspersed, with the image and text appearing separately. And the text will be positioned around it based on the given bounding boxes.
For image elements:
1. The image depicts a formal room with a central table, benches, and a chandelier. The room features arched windows, paneled walls, and a curved ceiling. Bbox [5, 245, 304, 506]
For text elements should be displayed independently in font CourierNewPS-BoldMT:
1. "George Mason" in size 120, Bbox [74, 4, 506, 72]
2. "George Mason IV was an American planter, From burgess to rebel" in size 79, Bbox [5, 88, 506, 238]
3. "Little is known of Mason's political views prior" in size 72, Bbox [310, 247, 506, 507]
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The scene shows John Pearse - Nickel Wound Electric, 10-46 Super EZ Bend, and #500,Set,ELECTRIC,BEND,EZ,Wound,Nickel is shown.
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The image displays a weather forecast for various UK cities, with temperatures and conditions listed. The background shows a snowy landscape. The text is organized in a black box overlaying the image. Starting from the top-left, it reads: "the text : 'Liverpool, UK: Thunderstorm, 16°C ~ 16°C'," followed by "the text : 'Bristol, UK: Thunderstorm, 19°C ~ 22°C'," and "the text : 'Manchester, UK: Thunderstorm, 20°C ~ 29°C'." Other cities listed include Leicester, Newcastle, Edinburgh, Glasgow, Coventry, Plymouth, and Leeds, each with their respective weather conditions and temperatures. The bottom of the image advises dressing in layers for changing temperatures.
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A 512x512 text image with the following settings: font_size 84 , font_type DancingScript-Bold , font_color [10, 32, 108] displaying the text: losing just one game against Raymonde Messier of St. Hilaire.
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A 512x512 text image with the following settings: font_size 37displaying the text: Derwin Abrahams Derwin Abrahams (1903–1974) was an American film director. He directed four serials in the 1940s for Columbia Pictures, including "Hop Harrigan", "Chick Carter Detective", "Tex Granger" and "Son of the Guardsman", followed by "The Great Adventures of Captain Kidd" in 1953.
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A 512x512 text image with the following settings: font_size 249 , font_type Deliged-JRD4a , alignment right, font_color [52, 7, 27] displaying the text: for this reason
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A 512x512 text image with the following settings: font_size 88, font_type Masculine-7BM9B, rotation_degree -14, font_color [59, 11, 96], alignment right, displaying the text: ((citation needed)) Tamil and Malayalam are spoken by the people.
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A 512x512 text image with the following settings: font_size 73 , font_color [108, 93, 126] displaying the text: You're my everything. Sometimes I feel like I can't breathe without you. That's how I feel about you too.
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A 512x512 text image with the following settings: font_size 43displaying the text: In December shore parties burned the salt works on Harbor Creek and destroyed Confederate batteries and magazines on Bull's Island. In late January 1863 after 13 months of duty "Restless" sailed north for docking and repairs. By mid-June
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A 512x512 text image with the following settings: font_size 70 , font_color [113, 63, 79] displaying the text: later used to run the wishbone system (the backs forming a letter Y or a resemblance to a wishbone)
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A book cover for American Islam: Growing Up Muslim in America; Richard Wormser; Teen & Young Adult;
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A 512x512 text image with the following settings: font_size 114 , font_color [20, 21, 21] displaying the text: I'm sorry I didn't make it to your event. It's okay
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A 512x512 white background image. The image features a layout where the image and text are interspersed, with the image and text appearing separately. And the text will be positioned around it based on the given bounding boxes.
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1. The image shows a modern building with a unique, stepped pyramid-like design. The structure is made of light-colored tiles, and there is a circular emblem in the center of the base. The sky is clear and blue. Bbox [232, 190, 506, 464]
For text elements should be displayed independently in font Papyrus-Condensed:
1. "California Department of General Services" in size 76, Bbox [10, -2, 1011, 116]
2. "The California Department of General Services is" in size 83, Bbox [5, 83, 488, 197]
3. "The California Department of General Services" in size 101, Bbox [5, 188, 226, 448]
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We find Zen in the Art of Archery, and Zen,the,in,of,Art,Archery,EUGEN,HERRIGEL appears in view.
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This image reveals Duality: The Center and the Edge by Cash Creek, plus CREEK,CASH,Duality,The,Edge,The,Center.
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An image that renders the following text: 10 The range of p T of the detected hadron is set high enough for the applicability of pQCD. In this paper, the lower bound is set at p T = 6 GeV. This choice is essen- tially dictated by the regime where recombination [70] begins to contribute to the yield. The upper limit is set at p T = 20 GeV which represents the highest p T for which experimental data exist. The focus in this paper will essentially be on two different centralities of ⟨ b ⟩ = 2 . 4 fm which represents the rather central collisions with a centrality in the range from 0 − 6% and a somewhat more peripheral event with a ⟨ b ⟩ = 7 . 5 fm which corresponds to the 20 − 30% range of centrality. 3. AMY The strength of the transition rate in pQCD is con- trolled by the strong coupling constant α s ( T ), tempera- ture T and the flow parameter ⃗ β (the velocity of thermal medium) relative to the jet’s path. The value for the coupling constant used (along with the assumption of a thermalized partonic medium) may be related to the transport coefficient ˆ q as derived from computations in HT or ASW by either a direct computation of the oper- ator product in Eq. (9), or a computation of the mean transverse momentum squared per unit length as gained by a jet which propagates through the medium without radiation. In a 3D expanding medium, the transition rate is first evaluated in the local frame of the thermal medium, then boosted into the laboratory frame, 1 PHENIX 0 - 5% AMY, b = 2.4 fm, α s = 0.33 0.8 HT, b = 2.4 fm, q ^ 0 = 1.9 GeV 2 /fm, c HG = 0.2 0.6 R AA ASW, b = 2.4 fm, K = 3.6 0.4 d Γ( p, k, t ) lab = (1 − ⃗v j · ⃗ β ) d Γ( p 0 , k 0 , t 0 ) local , (20) 0.2 dkdt dk 0 dt 0 0 PHENIX 20 - 30% AMY, b = 7.5 fm, α s = 0.33 where k 0 = k (1 − ⃗v j · ⃗ β ) / p 1 − β 2 and t 0 = t p 0.8 1 − β 2 are momentum and the proper time in the local frame. As jets propagate in the medium, the temperature and the flow parameters depend on the time and the po- sitions of jets, and the 3D hydrodynamical calculation [30] is utilized to determine the temperature and flow profiles. The energy loss mechanism is applied at time τ 0 = 0 . 6 fm/c, when the medium reaches thermal equi- librium, and switched offwhen the medium reaches the hadronic phase. HT, b = 7.5 fm, q ^ 0 = 1.9 GeV 2 /fm, c HG = 0.2 0.6 R AA ASW, b = 7.5 fm, K = 3.6 0.4 0.2 0 6 8 10 12 14 16 18 20 p T (GeV/c) FIG. 5: (Color online) Nuclear modification factor R AA in Au - Au collisions at 0-5% (top) and 20-30% (bottom) central- ity calculated in the ASW, HT and AMY approaches com- pared to data from PHENIX [71]. IV. APPLICATION TO RHIC DATA Figure 5 shows the nuclear modification factor R AA as a function of p T in Au - Au collisions at 0-5% (top) and 20- 30% (bottom) centrality calculated in the ASW, HT and AMY approaches compared to data from PHENIX [71]. The parameters for the respective calculations are fixed to one data point in the 0-5% centrality calculation – the dependence on p T and centrality of the nuclear col- lision are then predictions by the respective energy-loss calculations. As can be seen, the parameters for all three approaches (initial maximal value for the transport co- efficient ˆ q 0 or coupling constant α s in the AMY case) can be adjusted such that the approaches are able to describe the centrality dependence of the nuclear modi- fication factor reasonably well. For a gluon jet, the val- ues are ˆ q 0 ≈ 4 . 3 GeV 2 /fm for the HT approach, ˆ q 0 ≈ 18 . 5 GeV 2 /fm for the ASW formalism and α s ≈ 0 . 33 for the AMY approach, which can be converted into a value of ˆ q 0 ≈ 4 . 1 GeV 2 /fm. While values of ˆ q 0 , have been presented up to the first decimal point, one should note that the error involved is never less than the exper- imental error (See Sec. V for further discussion on this issue). Beyond this, there remain the usual uncertain- ties related to using a leading order hard scattering cross section, e.g., the choice of the appropriate scale for the In the preceding sections, a description of the theoret- ical setup underlying each of the three schemes as well as the phenomenological connection between them and the RFD simulations was expounded upon. In this section, we present the results of our numerical calculations. The primary quantity of interest will be the nuclear modifi- cation factor ( R AA ) defined as dσ AA ( b min ,b max ) dyd 2 p T R AA = dyd 2 p T , (21) R b max b min d 2 bT AA ( b ) dσ pp ( p T ,y ) dσ AA ( ⟨ b ⟩ ) d 2 bdyd 2 p T ≃ dyd 2 p T , T AA ( ⟨ b ⟩ ) dσ pp ( p T ,y ) where, T AA represents the nuclear overlap function which is proportional to the number of binary collisions at the mean impact parameter ⟨ b ⟩ . The mean impact parameter for a given range of centrality is essentially set by the RFD simulation used to calculate the soft observables. The R AA is calculated both integrated as defined above or as function of the angle with respect to the reaction plane.
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A 512x512 white background image. The image features a layout where the image and text are interspersed, with the image and text appearing separately. And the text will be positioned around it based on the given bounding boxes.
For image elements:
1. An older man with a mustache is sitting in a chair, holding a book titled Cien años de soledad by Gabriel García Márquez. He is wearing a dark jacket and appears to be reading or signing the book. The background shows shelves filled with books. Bbox [5, 85, 179, 259]
2. Two men are seated together, one wearing a green military-style jacket and hat, and the other in a red and black plaid shirt. They appear to be engaged in conversation. Bbox [5, 265, 229, 489]
For text elements should be displayed independently in font CourierNewPS-BoldMT:
1. "Magic Steeped In The Real" in size 66, Bbox [5, 7, 506, 45]
2. "Real" in size 75, Bbox [185, 88, 275, 130]
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An image that renders the following text: Emergent Universe and Phantom Tachyon Model Ujjal Debnath ∗ Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711 103, India. (Dated: November 22, 2018) In this work, I have considered that the universe is filled with normal matter and phantom field (or tachyonic field). If the universe is filled with scalar field, Ellis et al have shown that emergent scenario is possible only for k = +1 i.e. for closed universe and here I have shown that the emergent scenario is possible for closed universe if the universe contains normal tachyonic field. But for phantom field (or tachyonic field), the negative kinetic term can generate the emergent scenario for all values of k (= 0 , ± 1). From recently developed statefinder parameters, the behaviour of different stages of the evolution of the emergent universe have been studied. The static Einstein universe and the stability analysis have been briefly discussed for both phantom and tachyon models. arXiv:0808.2379v1 [gr-qc] 18 Aug 2008 PACS numbers: Recently, Ellis and Maartens [1] have considered a cosmological model where inflationary cosmologies exist in which the horizon problem is solved before inflation begins, there is no big-bang singularity, no exotic physics is involved and the quantum gravity regime can even be avoided. The inflationary universe emerges from a small static state that has within it the seeds for the development of the microscopic universe and it is called Emergent Universe scenerio (i.e., modern version and extension of the Lemaitre-Eddington universe). They have shown that the emergent scenario is possible only for k = +1 i.e., for closed model. The universe has a finite initial size, with a finite amount of inflation occurring over an infinite time in the past and with inflation then coming to an end via reheating in the standard way. There are several features for the emergent universe: (i) the universe is almost static at the finite past ( t →−∞ ) and isotropic, homogeneous at large scales, (ii) It is ever existing and there is no timelike singularity, (iii) the universe is always large enough so that the classical description of space-time is adequate, (iv) the universe may contain exotic matter so that the energy conditions may be violated, (v) the universe is accelerating, etc. An interesting example of this scenario is given by Ellis et al [2] for a closed universe model with a minimally coupled scalar field φ and special form of potential V ( φ ) with energy density ρ = 1 2 ˙ φ 2 − V ( φ ) and possibly some ordinary matter with equation of state p = wρ where − 1 2 ˙ φ 2 + V ( φ ) and pressure p = 1 3 ≤ w ≤ 1. There are several works on emergent universe scenarios [3 - 5]. Mukherjee et al [6] have considered a general framework for emergent universe model contains a fluid which has an EOS p = Aρ − B √ ρ where A and B are constants. Also Campo et al [7] have studied an emergent universe model in the context of self-interacting Brans-Dicke theory. Very recently Banerjee et al [8] have been obtained emergent universe in brane world scenario. In this work, I have considered that the universe is filled with normal matter and phantom field [9] (or tachyonic field [10]) instead of normal scalar field. The Lagrangian of the tachyonic field φ with potential V ( φ ) can be written as L = − V ( φ ) q 1 − ǫ ˙ φ 2 [10]. Phantom field [9] has the property that it has negative kinetic term so that the ratio between pressure and energy density is always less than − 1. Here ǫ = +1 represents normal tachyon and ǫ = − 1 represents phantom tachyon [10]. So my main motivation is that if the universe is filled with phantom field (or tachyonic field) instead of normal scalar field, the emergent scenario is possible for flat, open and closed models. For a FRW spacetime, the line element is ds 2 = − dt 2 + a 2 ( t ) u0014 dr 2 1 − kr 2 + r 2 ( dθ 2 + sin 2 θdφ 2 ) u0015 (1) where a ( t ) is the scale factor and k (= 0 , ± 1) is the curvature scalar. Now consider the Hubble parameter ( H ) and the deceleration parameter ( q ) in terms of scale factor as ∗ [email protected] , [email protected]
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The image presents Today is the perfect day to be | TGH Magazine, and we read today,the,is,day,perfect,be,to,happy.
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We find Infographic: How to Keep Your Resolutions This Year, and How,to,Your,Keep,Resolutions,This,Year text stands out.
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A 512x512 text image with the following settings: font_size 73 , font_type Antam-2OvPo , font_color [110, 112, 112] displaying the text: c3 was able to deliver 200 gr force with minimum elongation in comparison with the other types.
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This snapshot displays Jesus Christ Our Lord - By: John F. Walvoord, plus visible words JESUS,CHRIST,OUR,LORD,John,Walvoord,F..
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A 512x512 text image with the following settings: font_size 173 , font_type Greetings-8MDPJ , alignment center, font_color [104, 119, 117] displaying the text: ( [ deltae_lamb ] )
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The image contains a text in Russian, which translates to NAME = {elements} in English. The text is centered on a white background. The text is written in a serif font, and the word NAME is in uppercase, while the word {elements} is enclosed in curly brackets and also in uppercase. The curly brackets are used to denote a placeholder or a variable, indicating that the actual elements will be inserted into this placeholder. nnIn the bottom right corner of the image, there is a logo with the text КВАНТОР in red and white. The logo appears to be associated with the content of
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A 512x512 text image with the following settings: font_size 36, font_type NukaMono, rotation_degree -30, font_color [90, 122, 122], alignment right, displaying the text: Let's take a look around and see if we can find anything that might help. Okay. Do you have any idea what kind of medicine you're looking for? No
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A 512x512 text image with the following settings: font_size 91, font_color [97, 109, 21] displaying the text: Now Jarrod is pleased with the result. Hey, Mom.
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The image places The Fairytale Hairdresser and Rapunzel alongside Hairdresser,and,RAPUNZEL,Beard,Lauren,Abie,ongstaff text.
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A 512x512 text image with the following settings: font_size 66displaying the text: But it's important to keep your head on straight especially in today's world.
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A 512x512 text image with the following settings: font_size 279 , alignment centerdisplaying the text: Smaller pieces
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A 512x512 text image with the following settings: font_size 197 , alignment center, font_color [10, 11, 6] displaying the text: also @xcite ).
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The picture frames Most Wonderful Time 5x7 Flat Card, with visible H'stre,MOST,WONDERFUL,TIME,YEAR,OF,THE.
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The picture: Sports MP3 Player Mini Mobile Music Speaker Portable Sound box Boombox with TF Card reader USB + FM Radio -UK2, and the text says MP3,Speaker,Sports,FM,Radio,Store,No.
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A 512x512 text image with the following settings: font_size 87 , font_type Yellowi , font_color [7, 87, 77] displaying the text: I'm sure you'll do well in the race. Thanks, Jesse.
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A 512x512 white background image. The image features a layout where the image and text are interspersed, with the image and text appearing separately. And the text will be positioned around it based on the given bounding boxes.
For image elements:
1. A lighthouse stands on a wooden platform in the middle of a body of water, with houses and trees in the background and a boat on the right. Bbox [282, 5, 506, 229]
2. A lighthouse stands on a wooden platform in a body of water, with houses and trees in the background under a clear sky. Bbox [21, 235, 245, 459]
3. A wooden dock extends into a body of water, with a small shed and a flagpole displaying an American flag. The sky is partly cloudy. Bbox [266, 235, 490, 459]
For text elements should be displayed independently in font Arial-ItalicMT:
1. "Fall River is home to Borden Flats" in size 65, Bbox [5, 5, 265, 80]
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A 512x512 text image with the following settings: font_size 62, font_type helveti, rotation_degree 31, font_color [220, 161, 20], alignment right, displaying the text: How long have you had her? I've had her since she was a kitten.
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A 512x512 white background image. The image features a layout where the image and text are interspersed, with the image and text appearing separately. And the text will be positioned around it based on the given bounding boxes.
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1. A man wearing a white hoodie, green cap, black pants, and blue sneakers walks through a crowd. Bbox [282, 5, 506, 229]
2. A person wearing a hoodie and a cap is singing into a microphone, with a crowd of people in the background, some of whom are raising their hands. Bbox [307, 235, 506, 434]
For text elements should be displayed independently in font Verdana-Bold:
1. "Tyler, The Creator Admits He Was" in size 80, Bbox [5, 1, 236, 193]
2. "Driving Justin Bieber's Ferrari" in size 80, Bbox [5, 231, 187, 423]
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A 512x512 white background image. The image features a layout where the image and text are interspersed, with the image and text appearing separately. And the text will be positioned around it based on the given bounding boxes.
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1. The image shows a dialog box on a smartphone screen with options to duplicate a Live Photo or duplicate it as a still photo. The selected option is Duplicate as Still Photo. Bbox [5, 85, 229, 309]
2. The image shows a computer screen with a software interface, likely for managing digital photos. The interface includes a menu bar, a toolbar with various icons, and a main area displaying thumbnail images of photos. A dialog box is open, indicating a warning or notification. Bbox [54, 315, 228, 489]
3. The image shows a computer file explorer window with a folder named photos containing a single file named MACOSX.BAK. The window also displays other folders and files in the directory structure. Bbox [283, 315, 457, 489]
For text elements should be displayed independently in font TimesNewRomanPS-ItalicMT:
1. "How to Save Live Photos as JPG Photos" in size 62, Bbox [5, 5, 415, 77]
2. "on PC Live Photos are being touted as" in size 70, Bbox [235, 85, 503, 166]
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An image that renders the following text: Lemma 3.3. Assume M ≤ 1 − w . For all K ≥ 1 , if ω ∈{ 1 } × [ w, M ] Z + satisfies ω 0 = 1 and b n ( ω ) →∞ , then for all n ∈ N such that b n ( ω ) ≥ 2 K , and all x ∈ Z , x ≥− b n + K , the distribution of ξ ( n, b n + x ) with respect to P ω is stochastically dominated by the distribution ν ( K ) ( K ) → of ξ ( n, K ) with respect to P ω ( K ) [ · | X 0 = K ] . Further, ν (0) for K →∞ . The proof of Lemma 3.3 is similar to the proof of Lemma 3.2. The last statement follows from (3.12). ν ( K ) ( K ) ≤ ν (0) + ε Let ε > 0. Choose K such that 2 . Since ( X n ) is a positive recurrent Markov chain with respect to P ω ( K ) [ · | X 0 = K ], we have ω ( K ) h · X 0 = K i - a.s. , lim n →∞ ξ ( n, K ) ν ( K ) ( K ) P n = and ω ( K ) u0014 ξ ( n, K ) ν ( K ) ( K ) + ε X 0 = K u0015 ≤ e − C ( ε ) n , (3.13) P n ≥ where C ( ε ) is a strictly positive constant depending only on ε , and on K . For P -a.a. ω , K P choose n 0 ( ω ) such that for n ≥ n 0 ( ω ), b n ( ω ) ≥ 2 K and 1 x =0 ξ ( n, x ) ≤ ε 4 , P ω -a.s. (this is n K P x =0 ξ ( n, x ) → 0, P -a.s. for possible since b n ( ω ) increases to ∞ , P -a.s. for n →∞ , and 1 n n →∞ since P ω is null-recurrent for P -a.a. ω ). We then have P -a.s. for n ≥ n 0 ( ω ) u0014 ξ ∗ ( n ) ν (0) + ε u0015 ≤ P ω u0014 ξ ∗ ( n ) u0015 ν ( K ) ( K ) + ε P ω n ≥ n ≥ 2 u0014 ξ ( n, b n + x ) u0015 n X ν ( K ) ( K ) + ε ≤ x = − b n + K P ω n ≥ 4 ω ( K ) u0014 ξ ( n, K ) X 0 = K u0015 ν ( K ) ( K ) + ε ≤ (2 n + 1) P n ≥ 4 ≤ (2 n + 1) e − C ( ε/ 4) n , (3.14) 16
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This image shows Lucy and Tom at the Seaside (Red: Shirley Hughes, with Shirley,Hughes,TOM,LUCY,Seaside,the,At words.
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Depicting Christmas Holly SVG File Free, with textual SVG,PNG,EPS,DXF,FREE,CUTTHATDESIGN,COM,www. present.
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The picture has moomin and midsummer moose, with words Moomin, and, Midsummer, Madness, With, the, Here.
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The image: The Survivors Club: A Thriller by Lisa Gardner audiobook, and words LISA,ACTIONST,GARDNER,SURVIVORS,CLUB,FIELDS,BYANNA,READ visible.
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A 512x512 text image with the following settings: font_size 40displaying the text: Her platform was learning disabilities, which she chose because she had a learning disability and was told that she would never graduate from high school or go to college. Her talent was Lyrical Ballet. She placed in the Top 15 at the Miss America 2003 pageant.
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This snapshot has Britain and Portuguese Timor 1941-1976, and text AND,BRITAIN,TIMOR,PORTUGUESE,1976,1941,TARLING,NICHOLAS visible.
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A 512x512 text image with the following settings: font_size 66displaying the text: Agricultural Extension Service Weather Bureau and Internal Revenue Service.
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A 512x512 text image with the following settings: font_size 162, font_color [49, 49, 49] displaying the text: Shado ws of Almia
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A 512x512 text image with the following settings: font_size 77, font_color [66, 67, 66] displaying the text: Currawang, was laid by The Venerable Archdeacon Puddicombe of Goulburn.
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A 512x512 text image with the following settings: font_size 35, font_color [23, 8, 38] displaying the text: ". According to Jamelle Bouie, writing in "The American Prospect", the magazine planned to correct accusation s that the Tea Party was racist and sexist, but failed to do so because it followed a familiar pattern under which, according to Bouie, "when conservatives need to show their diversity, they trot out the craziest brown people they can find.
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A 512x512 text image with the following settings: font_size 56, font_type OhDeeSee, rotation_degree 12, font_color [63, 60, 62], alignment left, displaying the text: Now Marisa feels lucky. Marisa's wealth allows her to travel wherever she wants and buy whatever she desires.
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The image is a slide from a presentation titled 2/ Know The Context. The slide is divided into three sections, each focusing on a different aspect of market analysis and understanding the competitive landscape. The sections are as follows:nn1. **Market Sizing**n - **Description**: This section discusses the size of the market and whether the revenue opportunities justify the R&D cost and investments.n - **Content**: It asks questions such as How big is this market? and Do the revenue opportunities justify the R&D cost and the investments?nn2. **Market Landscape**n - **Description**: This section aims to understand the context
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A large tornado touching down in a field with houses in the background, under a dark, stormy sky. The words are: "CGTN the text : 'Multiple Tornadoes Touch Down in Oklahoma City Metro Area Today' the text : 'New Technology Aims to Improve Quality of Life for Elderly People'." The words are in the bottom left corner.
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