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The dataset generation failed
Error code: DatasetGenerationError
Exception: CastError
Message: Couldn't cast
messages: list<item: struct<role: string, content: string>>
child 0, item: struct<role: string, content: string>
child 0, role: string
child 1, content: string
dfm8_transform_expansion: bool
dfm8_transform_family: string
dfm8_transform_source_file: string
to
{'messages': List({'role': Value('string'), 'content': Value('string')})}
because column names don't match
Traceback: Traceback (most recent call last):
File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1816, in _prepare_split_single
for key, table in generator:
^^^^^^^^^
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 613, in wrapped
for item in generator(*args, **kwargs):
~~~~~~~~~^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 343, in _generate_tables
self._cast_table(pa_table, json_field_paths=json_field_paths),
~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 132, in _cast_table
pa_table = table_cast(pa_table, self.info.features.arrow_schema)
File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2369, in table_cast
return cast_table_to_schema(table, schema)
File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2297, in cast_table_to_schema
raise CastError(
...<3 lines>...
)
datasets.table.CastError: Couldn't cast
messages: list<item: struct<role: string, content: string>>
child 0, item: struct<role: string, content: string>
child 0, role: string
child 1, content: string
dfm8_transform_expansion: bool
dfm8_transform_family: string
dfm8_transform_source_file: string
to
{'messages': List({'role': Value('string'), 'content': Value('string')})}
because column names don't match
The above exception was the direct cause of the following exception:
Traceback (most recent call last):
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1369, in compute_config_parquet_and_info_response
parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
~~~~~~~~~~~~~~~~~~~~~~~~~^
builder, max_dataset_size_bytes=max_dataset_size_bytes
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
)
^
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 948, in stream_convert_to_parquet
builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1683, in _prepare_split
for job_id, done, content in self._prepare_split_single(
~~~~~~~~~~~~~~~~~~~~~~~~~~^
gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
):
^
File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1869, in _prepare_split_single
raise DatasetGenerationError("An error occurred while generating the dataset") from e
datasets.exceptions.DatasetGenerationError: An error occurred while generating the datasetNeed help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.
messages list |
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[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] In many object-oriented languages, an instance of Human is created with the new operator. For instance, [2] declares that there exists an abstract class called Human. A Human has one fie... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] An instance of the machine architecture is an RDF virtual machine (RVM). The purpose of the RVM is to represent its state (stacks, program counter, etc.) in the same RDF network as the t... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] prefix owl: <http://www.w3.org/2002/07/owl>; prefix xsd: <http://www.w3.org/2001/XMLSchema>; prefix demo: <http://neno.lanl.gov/demo>; [2] While the Human class declaration in Java and i... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] In order to create a new object, the constructor of a class is called using the new operator. For example, [2] Constructors and destructors are used in object-oriented languages to creat... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] xsd:integer x = \"1\"^^xsd:integer; if(x > 2) { xsd:integer y = x; } else{ xsd:integer y = x; } [2] Examples of these super classes are itemized below.141414Conditions are unique in that... |
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{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $\\mathfrak{M}=\\mathfrak{M}_{{\\mathcal{F}}}\\oplus\\mathfrak{M}_{{\\mathcal{F}}^{\\bot}}$ with $\\mathfrak{M}_{{\\mathcal{F}}}={\\mathcal{F}}\\ominus(\\mathfrak{M}_{00}\\oplus\\mathfra... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] In the important particular case $\\|P_{\\mathcal{F}}-P_{\\mathcal{G}}\\|<1$, subspaces ${\\mathcal{F}}$ and ${\\mathcal{G}}$ are isometric and Riesz and Sz.-Nagy [31, §VII.105] explicit... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Using Theorem 2.6(7) twice: first for ${\\mathcal{F}}$ and ${\\mathcal{G}}$, next for ${\\mathcal{G}}$ and ${\\mathcal{F}}$, and then intersecting them gives (2). Interchanging ${\\mathc... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] ${\\mathcal{U}}$ and ${\\mathcal{V}}$ is a pair of strictly nondegenerate principal invariant subspaces for subspaces ${\\mathcal{F}}$ and ${\\mathcal{G}}$; [2] ${\\mathcal{U}}$ and ${\\... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $\\rm dist(\\Sigma((P_{{\\mathcal{F}}}A)|_{{\\mathcal{F}}}),\\,\\Sigma((P_{{\\mathcal{G}}}A)|_{{\\mathcal{G}}}))\\leq(\\max\\\\{\\Sigma(A)\\\\}-\\min\\\\{\\Sigma(A)\\\\})\\,\\rm gap({\\m... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $\\left\\|\\left.({P_{\\mathcal{F}}P_{\\mathcal{G}}})\\right|_{\\mathcal{F}}\\right\\|=\\cos^{2}\\theta(f,g)=(\\beta(1-\\alpha))/(\\alpha(1-\\beta))<1,$ [2] $1-\\cos\\theta(f,g)=2\\sin^{... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] (8) $\\displaystyle R_{n}^{m}(x)$ $\\displaystyle=$ $\\displaystyle\\sum_{s=0}^{(n-m)/2}\\frac{(-1)^{s}(n-s)!}{s![(n+m)/2-s]![(n-m)/2-s]!}x^{n-2s}$ (9) $\\displaystyle=$ $\\displaystyle\... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] (50) $1+\\frac{\\Delta x}{2}\\frac{f^{\\prime\\prime}(x)}{f^{\\prime}(x)}+\\frac{(\\Delta x)^{2}}{6}\\frac{f^{\\prime\\prime\\prime}(x)}{f^{\\prime}(x)}\\approx 0,$ [2] from which the br... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] HypergAugmRatio implements (46). HypergRatio implements (45). ZernikePrratio implements (44). Zernike2Prratio implements (47). Zernike3Prratio implements (43). ZernikeRoot implements (1)... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] The randomized Integer-Division functions mapping $n$-grams to $[0,2^{L})$ are not pairwise independent. However, for some values of $B$ and $n$, they are uniform. [2] For $B$ odd, we se... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Considering speed and pairwise independence, we recommend Cyclic—after discarding $n-1$ consecutive bits. If we require only uniformity, Randomized Integer-Division is twice as fast. [2]... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Theorems B and C are due to Green when $k=1$. For $k>1$, the ideas used in the proofs can be found in the existing literature on supercuspidal representations of $\\mathrm{GL}_{n}(F)$, t... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] It results in an action of $G_{(k-r)^{n}}$ on the set of all characters of $M_{n}(\\mathfrak{o}_{k-r})$. [2] Now suppose that $\\rho$ is an irreducible representation of $G_{k^{n}}$ on a... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] In the above definition, one says that an orbit is irreducible if the matrices in it are irreducible, i.e., they do not leave any non-trivial proper subspaces of $\\mathfrak{o}_{1}^{n}$ ... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] There exists a unique irreducible representation $\\sigma^{\\prime}_{\\omega}$ of $N_{l^{\\prime}}L$ whose restriction to $N_{l}L$ is $\\sigma_{\\omega}$ isotypic. This representation ha... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] an irreducible representation of $G$ is a component of an infinitesimally induced representation if and only if it is a component of $\\mathrm{Ind}_{U_{(2,1^{3})\\hookrightarrow 2^{4}}}^... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] so this number is zero if and only if $\\langle\\rho|_{G(\\psi_{\\beta_{1}})\\cap\\hskip 1.0pt{\\vphantom{U_{2,2}}}^{x}U_{2,2}},\\mathbf{1}\\rangle=0$ for each $x\\in G$. Assume that $\\... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] The proof of Proposition 8.1 with $\\beta_{1}$ replaced by $\\beta_{2}$, goes through up to the point where (under the assumption that $\\pi$ is not cuspidal) we get $\\bar{x}p\\in C_{G_... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] The Gauss–Berezin operators are introduced in Section 4. Our main construction is the canonical one-to-one correspondence between super-linear relations and Gauss–Berezin operators, whic... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $2^{\\circ}$. The image $\\mathop{\\rm im}\\nolimits P\\subset W$ is the projection of $P$ onto $0\\oplus W$. [2] In fact, the multiplication of linear relations extends the usual matrix... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] A Lagrangian subspace111111Mostly, the term ’Lagrangian subspace’ is used for spaces equipped with a skew-symmetric bilinear forms; however, my usage is a common slang. Also, in the supe... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] 6.7. Elementary reflections. Now we repeat considerations of Subsection 1. We define elementary reflections $\\sigma[e_{i}]$, $\\sigma[f_{j}]$ in $\\mathcal{A}^{2p|2q}$ by [2] We denote ... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $\\frac{\\partial}{\\partial z_{i}}\\varphi(z,\\xi)=0,\\quad\\frac{\\partial}{\\partial\\xi_{i}}\\varphi(z,\\xi)=0.$ [2] In fact, for fixed $i_{1}$, …, $i_{k}$ all vectors of the form (8... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $\\ln Z(\\beta,z)=\\int_{0}^{\\infty}{\\tilde{\\rho}}(\\epsilon)\\ln y_{p}\\left(z\\rme^{-\\beta\\epsilon}\\right)\\,\\rmd\\epsilon,$ (1) [2] In the cases $p=0$ and $p=1$, substituting $... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $\\ln Z(\\beta,z,l,s)=\\frac{1}{\\beta}\\int_{\\beta s}^{\\beta l}\\ln y_{p}\\left(z\\rme^{-\\epsilon}\\right)\\,\\rmd\\epsilon,$ (12) [2] It is evident from (9) and (10), that $\\Phi_{\... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] where $b(p)$ is given in (14) and (20). Thus, from (28), $\\rho_{p}(E)=\\rho_{p}(E,l\\rightarrow\\infty)\\sim\\exp[2b(p)\\sqrt{E}]$ to leading order for large $E$, which is the generaliz... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $S_{E,l}(\\beta)=\\beta E+\\frac{1}{\\beta}\\int_{0}^{\\beta l}\\ln y_{p}\\left(\\rme^{-\\epsilon}\\right)\\,\\rmd\\epsilon.$ (22) [2] where $\\gamma$ is a real constant chosen such that... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] What if the integral of ${\\bf E}^{2}$ is taken over a finite region? Can ${\\bf E}^{2}/8\\pi$ be considered an energy density? It is clear from Eq. (25) that this is not the case unless... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $U_{\\mbox{\\boldmath$\\mu$}}=-{\\bf\\mbox{\\boldmath$\\mu$}\\mbox{\\boldmath$\\cdot$}B_{0}}.$ (45) [2] This has the opposite sign from the energy expression for a classical current loop... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $\\displaystyle(S_{0},S_{0})$ $\\displaystyle=$ $\\displaystyle 0,$ (17) $\\displaystyle 2(S_{0},S_{1})$ $\\displaystyle=$ $\\displaystyle 0,$ (18) $\\displaystyle 2(S_{0},S_{2})+(S_{1},... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] In Fig. 2, we show $S_{Le}^{(\\alpha,\\beta;\\gamma)}$ and $\\langle S_{Le}^{(2;1)}\\rangle$ as functions of the scaled time $T=\\frac{2Et}{\\Delta m_{12}^{2}}$. The mixing angles $\\the... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $\\displaystyle\\Delta_{T}^{\\alpha,\\beta}$ $\\displaystyle=$ $\\displaystyle P_{\\nu_{\\alpha}\\rightarrow\\nu_{\\beta}}(t)-P_{\\nu_{\\beta}\\rightarrow\\nu_{\\alpha}}(t)$ (14) $\\disp... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] In the next section, we prove a supporting lemma for later use. In Section 4 we complete the proof of Theorem 7. In Section 5 we mention some ideas for future investigation. [2] The key ... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] We need the following claim, which roughly says that every string $w$ is interchangeable with the representative string $r[f_{w}(q_{0})]$. We know they are interchangeable when they are ... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Globularity. This is the main condition. It relate the sets that are obtained by duble application of $\\gamma$ and $\\delta$. They are [2] $\\gamma\\delta(\\beta)-\\delta\\delta(\\beta)... |
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{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Then there are $a,c\\in\\delta(\\beta_{i_{0}})$ such that $\\gamma(a_{p})=\\gamma(a)\\in\\delta(c)$ (NB. $a=a_{p}$ if $i_{0}=0$ and $a=\\gamma(\\beta_{i_{0}-1})$ otherwise). In particula... |
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{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Proof. In all the above equations the inclusion $\\supseteq$ is obvious. So in each case we need to check the inclusion $\\subseteq$ only. [2] Ad 1. Let $s\\in\\iota(S_{k+1})$, i.e. ther... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $<^{(S\\cup T)_{l},+}=\\left\\\\{\\begin{array}[]{ll}<^{S_{l},+}+<^{T_{l},+}&\\mbox{for $l>k$,}\\\\\\ <^{S_{l},+}+_{(S_{k}-\\delta(S_{k+1}))}<^{T_{l},+}&\\mbox{for $l=k$,}\\\\\\ <^{S_{l}... |
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{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Ad I. First we will consider two saddle faces $a,x\\in Sd(X)$ of different dimension $k=dim(x)<dim(a)=m$. Using Lemma 8.4 we have [2] So let assume that for positive face substructures o... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] For every $n\\in{\\omega}$, the functor $(-)^{\\sharp,n}$ is well defined, full, faithful, and it preserves existing pushouts. Moreover, for $S$ in ${\\bf wFs}^{+/1}_{n}$ we have $S^{*}=... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Let $P$ be the truncation of $\\widetilde{F}$ in ${\\bf Comma}^{+/1}_{n}$, i.e. $P=\\widetilde{F}^{\\natural,n}$. We shall show that $\\widetilde{F}_{n}$ is in a bijective correspondence... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] ${\\mbox{\\boldmath$;$}}_{\\mbox{\\tiny{\\framebox(0.0,0.0)[bl]{${}_{k\\\\!+\\\\!1}$}}}}(X)=\\left\\\\{\\begin{array}[]{ll}X\\cup\\\\{{\\bf r}_{k+1},{\\bf q}_{k}\\\\}&\\mbox{if $X\\cap\\... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Thus, we assume that $F:({{\\cal C}types}^{+/1}_{\\omega})^{op}\\longrightarrow Set$ is a special pullback preserving functor, and that $P$ a principal positive face structure of dimensi... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Ad 5. Since special pullbacks involve only the outer morphisms (i.e. those that comes from ${\\bf Fs}^{+/1}$), and $Q$ preserves special pullbacks so does $C$. [2] Ad 6. Finally, we shal... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] which forgets the structure of compositions and identities at the top level. This functor has a left adjoint [2] The category of positive-to-one $(n+1)$-computads ${{\\bf Comp}^{+/1}_{n+... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $G_{0}(x)=\\frac{1}{4\\pi}\\,\\frac{\\Gamma(\\nu)}{\\pi^{\\nu}}\\,\\frac{1}{(x^{2})^{\\nu}}\\,,\\qquad\\nu={\\textstyle\\frac{1}{2}}d-1\\,,$ (2.2) [2] We here discuss for the purposes of... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $\\displaystyle W^{Z}_{1}=\\sum_{r\\geq 2}\\frac{1}{2r!}$ $\\displaystyle\\int{\\rm d}^{d}x_{1}\\,{\\rm d}^{d}x_{2}\\,\\Big{\\\\{}Z^{(r)}(\\varphi_{1})(\\partial\\varphi_{1})^{2}\\,G_{0}... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $(n-1)^{2}H_{2n}(x)+\\sum_{m}(4n-2m)a_{m}H_{m}(x)=c_{n}H_{2n}{\\\\!}^{\\prime}(x)^{2}\\,,$ (3.18) [2] $2(n-1)^{2}c_{n}N_{2n}=2nc_{n}{\\\\!}^{2}\\,G_{2n\\,2n\\,2n}\\quad\\Rightarrow\\quad... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] It is also in accord with the second-order result, (5.15). Relabelling $s=2n-p$, [2] $f_{2n-1}(x)=v^{\\prime}_{*}(x)\\,,\\qquad\\hat{\\lambda}_{2n-1}=\\frac{d+2}{d-2}\\,.$ (5.24) [3] Exp... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] We note that $b_{0}$ is not constrained by (6.6). Nevertheless $b_{0}$ may be determined by imposing $z_{*}(0)=0$ [28]. This ensures that (6.5a), (6.5b) have well defined solutions for a... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] should vanish. Although in the case where it arises here $n$ is even $S=0$ for any $n$. To show this directly we note that [2] In the discussion of critical exponents in Section 5 consis... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] This result directly implies (8.24). For $l=0,1$ the coefficients obtained in (C.9) correspond exactly to the pole terms in dimensional regularisation in (2.7a), (2.7b). [2] for $S_{d}={... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] where $cd_{b-1,s}$ is the _minimum delay_ of bus $b$ at stop $s$. If $c=0$, then buses are never allowed to be early (and the delay $d_{b,s}$ is never negative), and we have schedule-bas... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] It can be shown that, as long as $d_{b,1}>0$ for both cases, the $c=0$ case in Eq. 25 reaches zero faster than the $c=1$ case: this means that schedule-based holding allows the buses to ... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] 1.2. Lemma. Let $f:{\\mathbb{D}}\\to{\\mathbb{D}}$ be an analytic function with $f(0)=0\\,.$ Then $|f(z)|\\leq|z|$, $z\\in{\\mathbb{D}}\\,.$ [2] Let $G\\subset{\\mathbb{R}}^{2}$ be a dom... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $j_{G}(x,y)=\\log(1+r_{G}(x,y))=\\log(1+\\frac{|x-y|}{\\mathrm{min}\\\\{{d}(x),{d}(y)\\\\}})\\,$ [2] 2.3. The quasihyperbolic and distance ratio metrics . Let $G\\subset\\mathbb{R}^{n}$ ... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $f$ satisfies the local uniform boundedness property, but $f$ is not quasiconformal on $V$ . [2] From now on we consider the restriction of $f$ to $V=\\\\{z=x+iy:x>1,0<y<1\\\\}$. Then $f... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] holds a.e. in $G$ is called the inner dilatation of $f$ and denoted by $K\\,_{I}(f)$. The maximal dilatation of $f$ is the number $K(f)=\\max\\\\{\\,K\\,_{I}(f),\\,K\\,_{O}(f)\\,\\\\}$. ... |
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{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Suppose that $G$ and $G^{\\prime}$ are domains in $\\mathbb{R}^{n}$: If $f:G\\rightarrow G^{\\prime}$ is $K$\\- quasiconformal; by the distortion property we find $m_{f}(x,r)\\geq a(x)r^... |
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{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $\\\\{f,g\\\\}_{PB}=\\omega^{i\\bar{\\jmath}}(\\partial_{i}f\\bar{\\partial}_{\\bar{\\jmath}}g-\\partial_{i}g\\bar{\\partial}_{\\bar{\\jmath}}f),\\qquad f,g\\in C^{\\infty}(M),$ [2] In t... |
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{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] define a foliation by Lagrangian submanifolds. One can recover such commutation relations as the classical limit of $n$ commuting self-adjoint operators on the Hilbert space ${\\cal H}_{... |
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{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $\\displaystyle D_{\\rm(3.vi)}=(iR_{i\\bar{m}k\\bar{o}})(iR_{n\\bar{\\jmath}p\\bar{l}})\\big{(}-ig^{i\\bar{\\jmath}}\\big{)}\\big{(}-ig^{k\\bar{l}}\\big{)}\\int_{{\\mathbb{R}}^{3}}{dp_{1... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] The existence of the marking $m$ follows from the construction preceding [3, Lemma 6.1]. [2] There is a constant ${\\sf c_{1}}={\\sf c_{1}}(S)$ with the following property. Suppose that ... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] for all $i$ and $n$ the center of the centralizer, $Z(C(g_{i}^{n}))$, is cyclic, and [2] Now, closely following Ivanov [12, Section 2], we essay an algebraic characterization of twists o... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] The rank of a group is the size of a minimal generating set. The algebraic rank of a group $G$, $\\operatorname{rank}(G)$, is the maximum of the ranks of free abelian subgroups $H<G$. No... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] where the $N_{i}$’s correspond to the distance layers in a breadth-first- search begun from $x$, and the $T(N_{i})$’s are their modular decomposition trees. [2] The algorithm begins in a... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] In the proof of lemma 2.4 we observed that if $M\\cap N_{i}\\neq\\emptyset$ for some $i>1$, then $M=V$. As such, we’ll assume $T^{\\prime}_{j}$ is composed of vertices in $N_{1}$. If $T^... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Proposition 2.3. _If $C$ is a co-component of $G[N_{0}]$ and $M$ is a strong module containing $x$, then either $C\\subset M$ or $C\\cap M=\\emptyset$. Similarly for $C$ a component of $... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] Based on the above bracketing we can now construct the tree according to the procedure outlined in the paper, the result of which is clearly the tree of figure 1. [2] Again, we first try... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $X_{i_{1}i_{1}^{\\prime},i_{2}i_{2}^{\\prime}}\\,=\\,tr(\\rho_{i_{1}i_{1}^{\\prime}}\\rho_{i_{2}i_{2}^{\\prime}}^{\\dagger})\\,=\\,\\sum_{j,j^{\\prime}}^{m}p_{i_{1}i_{1}^{\\prime},jj^{\\... |
[
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] where the expanding coefficients $\\\\{\\rho_{ii^{\\prime}}\\\\}$ can be written as follows: [2] $\\rho_{ii^{\\prime}}\\,=\\,\\sum_{j,j^{\\prime}=1}^{m}p_{ii^{\\prime},jj^{\\prime}}|B_{j... |
End of preview.
common-pile-paragraph-reordering
Chat-template-ready English paragraph reordering examples derived from selected Common Pile components. This upload contains only judge-accepted rows from a larger generated Common Pile export.
Contents
- Format: gzip-compressed JSON Lines under
data/*.jsonl.gz - Schema:
{"messages": [{"role": "user", "content": "..."}, {"role": "assistant", "content": "..."}]} - Files:
16 - Rows:
86,328 - Task: English paragraph reordering
Sources
Accepted rows by source family:
| Source family | Accepted rows |
|---|---|
common-pile/arxiv_papers_filtered |
42,717 |
common-pile/project_gutenberg_filtered |
43,611 |
Effective source files:
| Source file | Accepted rows |
|---|---|
common-pile/arxiv_papers_filtered/arxiv-papers-0000.parquet |
5,419 |
common-pile/arxiv_papers_filtered/arxiv-papers-0001.parquet |
5,437 |
common-pile/arxiv_papers_filtered/arxiv-papers-0002.parquet |
5,397 |
common-pile/arxiv_papers_filtered/arxiv-papers-0003.parquet |
5,254 |
common-pile/arxiv_papers_filtered/arxiv-papers-0004.parquet |
5,405 |
common-pile/arxiv_papers_filtered/arxiv-papers-0005.parquet |
5,402 |
common-pile/arxiv_papers_filtered/arxiv-papers-0006.parquet |
5,239 |
common-pile/arxiv_papers_filtered/arxiv-papers-0007.parquet |
5,164 |
common-pile/project_gutenberg_filtered/project_gutenberg-dolma-0000.parquet |
6,336 |
common-pile/project_gutenberg_filtered/project_gutenberg-dolma-0001.parquet |
6,375 |
common-pile/project_gutenberg_filtered/project_gutenberg-dolma-0002.parquet |
6,315 |
common-pile/project_gutenberg_filtered/project_gutenberg-dolma-0003.parquet |
6,351 |
common-pile/project_gutenberg_filtered/project_gutenberg-dolma-0004.parquet |
4,889 |
common-pile/project_gutenberg_filtered/project_gutenberg-dolma-0005.parquet |
6,429 |
common-pile/project_gutenberg_filtered/project_gutenberg-dolma-0006.parquet |
5,806 |
common-pile/project_gutenberg_filtered/project_gutenberg-dolma-0007.parquet |
1,110 |
Example
{
"messages": [
{
"role": "user",
"content": "Restore the original order of the paragraphs. Reply with the text in the correct order. [1] $\\left\\|\\left.({P_{\\mathcal{F}}P_{\\mathcal{G}}})\\right|_{\\mathcal{F}}\\right\\|=\\cos^{2}\\theta(f,g)=(\\beta(1-\\alpha))/(\\alpha(1-\\beta))<1,$ [2] $1-\\cos\\theta(f,g)=2\\sin^{2}(\\theta(f,g)/2),\\,1,\\,1+\\cos\\theta(f,g)=2\\cos^{2}(\\theta(f,g)/2),\\text{ and }2,$ [3] In the additive DDM the error is determined by (6.4) and the spectrum of $A$, the sum of two orthoprojectors, by analogy with Theorem 2.18 consists of four eigenvalues, [4] which approaches one when the overlap $\\alpha-\\beta$ becomes small. At the same time, however, the CG method described, e.g., in [4, 38], converges at most in two iterations, since the spectrum of $A$ in (6.2) consists of only two eigenvalues, $1-\\cos^{2}\\theta(f,g)=\\sin^{2}\\theta(f,g)$ and $1.$"
},
{
"role": "assistant",
"content": "$\\left\\|\\left.({P_{\\mathcal{F}}P_{\\mathcal{G}}})\\right|_{\\mathcal{F}}\\right\\|=\\cos^{2}\\theta(f,g)=(\\beta(1-\\alpha))/(\\alpha(1-\\beta))<1,$ which approaches one when the overlap $\\alpha-\\beta$ becomes small. At the same time, however, the CG method described, e.g., in [4, 38], converges at most in two iterations, since the spectrum of $A$ in (6.2) consists of only two eigenvalues, $1-\\cos^{2}\\theta(f,g)=\\sin^{2}\\theta(f,g)$ and $1.$ In the additive DDM the error is determined by (6.4) and the spectrum of $A$, the sum of two orthoprojectors, by analogy with Theorem 2.18 consists of four eigenvalues, $1-\\cos\\theta(f,g)=2\\sin^{2}(\\theta(f,g)/2),\\,1,\\,1+\\cos\\theta(f,g)=2\\cos^{2}(\\theta(f,g)/2),\\text{ and }2,$"
}
]
}
Filtering
Rows were judged with google/gemma-4-31B-it.
| Outcome | Rows |
|---|---|
| Audited | 182,122 |
| Accepted/uploaded | 86,328 |
| Rejected | 95,794 |
Main rejection reasons: response-mismatch, incoherent-or-ocr, arbitrary-order, task-not-meaningful. Machine-readable counts are in audit_summary.json.
The larger generated export had 277,029 rows; this upload keeps only rows with an explicit accepted audit decision.
Recreate
recreate_dataset.py can regenerate a similar dataset from local Parquet files:
python recreate_dataset.py \
--input-root /path/to/source-parquet-root \
--output-root data
The script also includes audit and filter subcommands for rerunning the judge/filter workflow with an OpenAI-compatible endpoint.
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