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string
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list
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list
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
[]
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
[]
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[ "<thought>\nThe cut occurs mid-sum, specifically in the term $\\underset{k_1\\not= k_2}{\\sum_{k_1=1}}$, which is part of a double summation index in the second term of an expression for the limiting distribution of the scaled Frobenius norm. The next token must be the continuation of the summation index specificat...
[ 0 ]
[ false ]
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[ -69.12796783447266 ]
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false
003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
[]
[]
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null
[]
[]
false
003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
[]
[]
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[]
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false
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[]
[]
[]
[]
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
[]
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003884d9-86be-462c-a20b-8f7186a96e70
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
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[]
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false
003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
[]
[]
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null
[]
[]
false
003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
[]
[]
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null
[]
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false
003884d9-86be-462c-a20b-8f7186a96e70
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[ "<thought>\nThe text is mid-sentence inside an integrand of the second term in a sum, following a comma and an unbalanced opening bracket. The next few tokens must continue the expression inside the integrand, most likely completing the inner product and potentially starting a new bracketed term or continuing the i...
[ 0 ]
[ false ]
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[ -24.714176177978516 ]
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false
003884d9-86be-462c-a20b-8f7186a96e70
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
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null
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[ "<thought>\nThe next 8 tokens must continue the clause defining $d_*$, which is currently incomplete and ends with the condition \"if $\\theta>1$\". The next content is likely the value assigned to $d_*$ in that case, followed by punctuation or a closing brace. Given the preceding structure, the most plausible imme...
[ 0 ]
[ false ]
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[ -21.11092758178711 ]
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false
003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
[]
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null
[]
[]
true
003884d9-86be-462c-a20b-8f7186a96e70
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[ "<thought>\nThe next 8 tokens are likely to be \"large $\\alpha$\" or \"sufficiently large $\\alpha$\" given the context of asymptotic behavior and the previous mention of $\\alpha < 2$. The sentence is continuing to describe the dominance of off-diagonal terms under certain conditions on $\\alpha$, and the mathema...
[ 0 ]
[ false ]
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[ -42.43107223510742 ]
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false
003884d9-86be-462c-a20b-8f7186a96e70
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
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[]
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[]
[]
false
003884d9-86be-462c-a20b-8f7186a96e70
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[ "<thought>\nThe text cuts off mid-sentence, mid-way through the statement of Theorem \\label{thm:FrobScen.mid}. The next token must be the continuation of the clause beginning with \"Suppose that $2<\\alpha<2\\theta$\", likely specifying an additional condition or assumption on the parameters, possibly involving th...
[ 0 ]
[ false ]
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[ -65.99205017089844 ]
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false
003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
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[]
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true
003884d9-86be-462c-a20b-8f7186a96e70
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[ "<thought>\nThe next 8 tokens must complete the phrase \"Suppose that 2<α<2θ and that the sequence of levels satisfies\" by introducing a reference to an equation label, likely \"\\eqref{e:level.usual}\". Since the sentence is mid-phrase, the next tokens will be the continuation of the mathematical condition, start...
[ 0 ]
[ false ]
-28.905848
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[ -23.751054763793945 ]
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false
003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
[]
[]
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null
[]
[]
false
003884d9-86be-462c-a20b-8f7186a96e70
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4,000
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[]
[]
[]
[]
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null
[]
[]
false
003884d9-86be-462c-a20b-8f7186a96e70
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4,032
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[]
[]
[]
[]
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null
[]
[]
false
003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
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null
[]
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003884d9-86be-462c-a20b-8f7186a96e70
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[]
[]
[]
[]
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null
[]
[]
false
00475f44-4431-4bae-a73c-d9e82f2e283f
0
0
32
31
[]
[]
[]
[]
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null
[]
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00475f44-4431-4bae-a73c-d9e82f2e283f
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32
64
32
[]
[]
[]
[]
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null
[]
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true
00475f44-4431-4bae-a73c-d9e82f2e283f
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[ "<thought>\nThe cut occurs at the start of a new environment, immediately following the `\\begin` command. Given the preceding `\\end{enumerate}`, the most likely next token is an environment-defining macro such as `\\section`, `\\subsection`, or another list or math environment like `\\begin{align}` or `\\begin{th...
[ 0 ]
[ false ]
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[ -75.40652465820312 ]
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false
00475f44-4431-4bae-a73c-d9e82f2e283f
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[]
[]
[]
[]
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null
[]
[]
false
00475f44-4431-4bae-a73c-d9e82f2e283f
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128
160
32
[]
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[]
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null
[]
[]
false
00475f44-4431-4bae-a73c-d9e82f2e283f
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160
192
32
[]
[]
[]
[]
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null
[]
[]
false
00475f44-4431-4bae-a73c-d9e82f2e283f
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192
224
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[]
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[]
[]
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null
[]
[]
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00475f44-4431-4bae-a73c-d9e82f2e283f
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[]
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null
[]
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false
00475f44-4431-4bae-a73c-d9e82f2e283f
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288
32
[]
[]
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[]
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null
[]
[]
false
00475f44-4431-4bae-a73c-d9e82f2e283f
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288
320
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[]
[]
[]
[]
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null
[]
[]
false
00475f44-4431-4bae-a73c-d9e82f2e283f
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320
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[]
[]
[]
[]
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null
[]
[]
false
00475f44-4431-4bae-a73c-d9e82f2e283f
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384
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[]
[]
[]
[]
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null
[]
[]
true
00475f44-4431-4bae-a73c-d9e82f2e283f
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[ "<thought>\nThe cut occurs in the middle of a sentence describing a figure, specifically after \"The training points are marked in red\". The next 8 tokens will most likely complete this sentence by specifying the visual representation of the training points, such as the color or symbol used, or possibly introduce ...
[ 0 ]
[ false ]
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[ -86.5152587890625 ]
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false
00475f44-4431-4bae-a73c-d9e82f2e283f
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[]
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00475f44-4431-4bae-a73c-d9e82f2e283f
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480
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null
[]
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false
00475f44-4431-4bae-a73c-d9e82f2e283f
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480
512
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[]
[]
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[]
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null
[]
[]
false
00475f44-4431-4bae-a73c-d9e82f2e283f
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512
544
32
[]
[]
[]
[]
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null
[]
[]
false
00475f44-4431-4bae-a73c-d9e82f2e283f
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544
576
32
[]
[]
[]
[]
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null
[]
[]
false
00475f44-4431-4bae-a73c-d9e82f2e283f
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576
608
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[]
[]
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[]
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null
[]
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true
00475f44-4431-4bae-a73c-d9e82f2e283f
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608
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[ "<thought>\nThe cut occurs mid-image width specification in the second figure environment, specifically in the middle of the LaTeX command `\\includegraphics[width`. The next 8 tokens will almost certainly complete the width parameter, likely as `\\columnwidth` again or a similar macro, followed by a closing bracke...
[ 0 ]
[ false ]
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[ "<thought>\nThe cut occurs mid-caption in the second figure, specifically after \"pnml\" in the caption text. The next 8 tokens will most likely continue the caption, likely naming the figure's label in the format \"fig:pnml_...\" or continuing the caption description, such as \"regret comparison\" or \"analytical ...
[ 0 ]
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[ -21.520200729370117 ]
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false
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[ "<thought>\nThe text cuts off mid-sentence during the phrase \"performance on synthetic,\" which is a prepositional phrase typically followed by a noun or noun phrase. Given the context of \"synthetic,\" the next word is most likely \"data,\" as this is a standard term in experimental setups in machine learning. Th...
[ 0 ]
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[ -2.888357162475586 ]
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true
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[ "<thought>\nThe cut occurs in the middle of a sentence that begins \"In addition, we\". The sentence is introducing further experimental contributions. The next 8 tokens will most likely complete this clause, possibly listing additional tasks or datasets, such as \"evaluate the method on benchmark datasets\" or \"c...
[ 0 ]
[ false ]
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[ -15.08906078338623 ]
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[ "<thought>\nThe cut occurs mid-sentence, immediately after \"These points are\". The next tokens will almost certainly complete the clause by specifying the properties or construction of the points, likely mentioning whether they are randomly sampled, evenly spaced, or generated via some function or noise model. Gi...
[ 0 ]
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[ "<thought>\nThe cut occurs mid-sentence, in the middle of a description of a figure reference. The current sentence is \"These points are shown in \\figref{fig:pnml_syntetic_analytical_vs_empirical} (top) as\" — it is clearly introducing the visual representation of the training points. The next 8 tokens must conti...
[ 0 ]
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false
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[ "<thought>\nThe cut occurs at the end of the equation environment opening tag and the matrix identifier $X_{N}[$, suggesting the next tokens will define the structure of the data matrix using a subscripted bracket notation. The next few tokens will likely include a closing bracket or a specification of indices, pos...
[ 0 ]
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[ "<thought>\nThe cut occurs mid-sentence in the definition of the data matrix $X_N$, specifically mid-variable name \"M\" and mid-phrase \"and $N$ are the number of\". The next 8 tokens must continue this grammatical clause, likely introducing what $M$ and $N$ represent. Given the context, $M$ likely refers to the n...
[ 0 ]
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[ -33.17073059082031 ]
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false
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