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Multiplying and Dividing Fractions DIGITAL TASK CARDS BUNDLE Multiplying and Dividing Fractions DIGITAL TASK CARDS BUNDLE Grade Levels Common Core Standards Product Rating File Type This TpT Bundle may contain a variety of file types. Please read through the product description of both the bundle and the individual ...
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Weighted Moving Average Weighted Moving Average (WMA) is one of the configurations of simple moving average which accounts not only for price values but also their weight. Calculated as per formula: weighted_moving_average1   where: Pi — price value for the number of i-periods, (today i =1), Wi — weight value for ...
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The 99 Club   The 99 Club is a mental-oral starter at Thirsk Community Primary School which aims to raise standards in maths through encouraging pupils to improve their mental calculations when attempting quick-fire multiplication and division problems. The idea is that with repeated practice, the scheme should resu...
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viernes, 24 de febrero de 2012 Resumen capitulo 2 Transformaciones geométricas. Habitualmente un paquete gráfico permite al usuario especificar que parte de una imagen definida se debe de visializar y donde esta parte se debe colocar en el dispositivo del visualización. Se compone por coodenadas. Transformaciones ...
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[HOME] MAM2000 (Dimension) [Prev][Up][Next] Dot Product in Three Dimensions Geometrically, we know that two vectors are perpendicular if the Pythagorean Theorem holds, i.e. the square of the length of (a,b,c) plus the square of the length of (x,y,z) equals the square of the length of (a,b,c) - (x,y,z) = (a-x,b-y,c-z)...
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Find answers, ask questions, and connect with our community around the world. Activity Discussion Math Maths Tagged: , • Aashutosh Member May 30, 2021 at 10:46 pm Helpful Up 0 Down Not Helpful :: A circle is a set of all those points that lie in a plane that is equidistant fro...
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Unexpectedly Intriguing! February 6, 2007 Although we don't go there often, we're not ones to shy away from personal topics here at Political Calculations. We are, after all, the only blog out there that gets into your paycheck, goes into your house to see if you should switch to compact fluorescents and helps you fig...
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Plateforme N°1 de soutien en mathématique Post-bac Prépa Résolution du problème suivant : Bases mathématiques-Opérations-entre-ensembles-Partitions-MPSI Ali Mkhida Ali Mkhida Dr. Agrégé en Mathématique & fondateur de Qoosmo. Chapitre mentionné dans l'article : Bases mathématiques-Opérations-entre-ensembles-Parti...
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being a math tutor Right now in my geometry class, I have an A+, but friend is failing that class. I offered to be her math tutor, to possibly meet in the library after school 3 days a week. Does anybody have any ideas on how to make our study sessions more productive (I haven't started yet -- maybe sometime next week...
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 Mandelbrot ... but with no main cardioid! • 6 Replies • 572 Views 0 Members and 1 Guest are viewing this topic. Offline quadralienne • * • Fractal Fanatic • *** • Posts: 26 • infinite border, finite area « on: June 20, 2019, 09:34:19 PM » Once upon a time I stumbled across https://commons.wikimedia....
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Resultado de 3(2x+1)-4=11 Solución simple y rápida para la ecuación 3(2x+1)-4=11. Nuestra respuesta es comprensible y explicada paso a paso. Si no es lo que está buscando, escriba sus propios datos. Resultado de 3(2x+1)-4=11: 3(2x+1)-4=11 Movemos todos los personajes a la izquierda: 3(2x+1)-4-(11)=0 Sumamos todos...
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mersenneforum.org   Go Back   mersenneforum.org > Great Internet Mersenne Prime Search > Math Reply   Thread Tools Old 2009-06-13, 19:11   #1 ATH Einyen   ATH's Avatar   Dec 2003 Denmark 2·7·227 Posts Default Mersenne primes have highly composite p-1? http://www.mersenneforum.org/showpos...6&postcount=85 Quote: Or...
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For the Students of Hindu Vedic Astrology by Dr. A. Shanker Recent Posts 20130205 Encyclopedia of Vedic Astrology: Tajik Shastra and Annual Horoscopy: The Muntha, Chapter XI, Part - 1 Dr. Shanker Adawal The Muntha Part 1 1. The Muntha & its Progression: The Muntha is an important mathematical concept in Vars...
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Slow Sum – Revisited Good morning. I received a comment from Dmytro regarding the post Slow Sum suggesting the use of a priority queue instead of a stream. I appreciate the comment and suggestion. Suppose we have a list of N numbers, and repeat the following operation until we're left with only a single number: Cho...
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• Support PF! Buy your school textbooks, materials and every day products Here! Find the values of k so that lines are perpendicular using symetric equations • Thread starter soulja101 • Start date • #1 62 0 Homework Statement Line 1: x-3/3k+1=Y+6/2=Z+3/2K Line 2: x+7/3=y+8/-2k=z+9/-3 Homework Equations ...
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Wednesday May 4, 2016 Homework Help: smallest of 3 integers Posted by Anonymous on Wednesday, June 27, 2012 at 1:15pm. The sum of the reciprocals of three consecutive positive integers is equal to 47 divided by the product of the integers. What is the smallest of the three integers? Answer This Question First Name...
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login The OEIS is supported by the many generous donors to the OEIS Foundation.   Logo Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A121523 Number of up steps starting at an even level in all nondecreasing Dyck paths of semilength n. A nondecreasing Dyck path is a Dyck path for which the sequ...
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18.100B.PracticeFinal 18.100B.PracticeFinal - 18.100B/C Practice Final Exam... Info iconThis preview shows pages 1–4. Sign up to view the full content. View Full Document Right Arrow Icon Info iconThis preview has intentionally blurred sections. Sign up to view the full version. View Full DocumentRight Arrow Icon ...
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whatisconvert Search Unit Converter Convert 146 Acres to Square Feet To calculate 146 Acres to the corresponding value in Square Feet, multiply the quantity in Acres by 43560 (conversion factor). In this case we should multiply 146 Acres by 43560 to get the equivalent result in Square Feet: 146 Acres x 43560 = 6359...
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Dismiss Notice Join Physics Forums Today! The friendliest, high quality science and math community on the planet! Everyone who loves science is here! Acceleration as a function of displacement 1. Nov 13, 2014 #1 In one my classes my lecturer showed us the following derivation of acceleration as a function of di...
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Number 38500 [ thirty-eight thousand five hundred ] Properties of number 38500 Cross Sum: Factorization: 2 * 2 * 5 * 5 * 5 * 7 * 11 Divisors: 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 125, 140, 154, 175, 220, 250, 275, 308, 350, 385, 500, 550, 700, 770, 875, 1100, 1375, 1540, 175...
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0c090d63199a0a01e3b08e4a255778a0
End of preview. Expand in Data Studio

🧮 Taxonomy Math w/ FM

🏆 Website | 🖥️ Code | 📖 Paper

A high-quality mathematics dataset curated from web data using taxonomy-based filtering, containing 34 billion tokens of mathematical content.

🎯 Dataset Overview

This dataset is part of the Essential-Web project, which introduces a new paradigm for dataset curation using expressive metadata and simple semantic filters. Unlike traditional math datasets that require complex domain-specific pipelines, our approach leverages a 12-category taxonomy to efficiently identify and extract high-quality mathematical content.

🔬 Taxonomy Math w/ FM (34B tokens): Documents labeled as 51 - Mathematics in our taxonomy, with all 116M recalled documents then scored by the FineMath classifier and filtered to the top 34B tokens.

🏆 Performance

Our taxonomy-based approach achieves competitive results with significantly less curation effort:

Dataset GSM8K MATH MMLU-Math Curation Complexity
FineMath 3+ 26.4% ± 1.4 11.7% ± 0.4 32.3% ± 1.5 Complex domain pipeline
OpenWebMath 14.6% ± 1.1 9.3% ± 0.4 29.9% ± 1.5 Complex domain pipeline
MegaMath Web (Top 10%) 9.8% ± 0.9 7.9% ± 0.3 29.9% ± 1.5 Complex domain pipeline
DCLM-baseline 4.8% ± 0.7 4.4% ± 0.3 27.0% ± 1.4 Standard baseline
EAI-Taxonomy Top Math 21.3% ± 1.3 11.0% ± 0.4 30.5% ± 1.5 Simple semantic filter
EAI-Taxonomy Math w/ FM 22.4% ± 1.3 11.5% ± 0.4 30.9% ± 1.5 + FineMath classifier

Results show our EAI-Taxonomy datasets perform within 15% of SOTA on GSM8K while requiring minimal domain-specific tuning. On MATH and MMLU-Math, EAI-Taxonomy Math w/ FM performs within standard error of the leading FineMath 3+ dataset.

✨ Key Features

  • 🎯 Direct Distribution Targeting: Leverage existing taxonomy labels to target math content from web-scale data without training custom high-recall classifiers
  • 🚀 Rapid Curation: Skip the expensive classifier training phase and go straight to content selection
  • 💰 Cost Effective: Avoid the need to train high-recall domain-specific classifiers for content discovery
  • 🔍 Two-Stage Approach: Use taxonomy for recall, then apply existing quality classifiers for selection
  • 🌐 Web-Scale: Access to math content identified across 23.6B web documents

🛠️ Curation Method

Our approach simplifies math dataset creation:

  1. Traditional Method: Train high-recall classifiers → Run on billions of documents
  2. Our Method: Query taxonomy metadata for 51 - Mathematics → Apply FineMath classifier to all recalled documents → Select top-scoring content

Dataset Schema Documentation

Overview

This dataset contains web-crawled text data with comprehensive metadata, quality signals, and taxonomic classifications. Each record represents a document extracted from web archives with detailed provenance tracking and quality assessment metrics.

Core Fields

Field Type Description Path
id Int64 Unique identifier based on document hash id
text String The main textual content of the document text

EAI Taxonomy Classification

Comprehensive hierarchical classification system with primary and secondary labels - the most important feature of this dataset. The taxonomy is designed to provide detailed subject categorization, document type identification, content quality assessment, and extraction quality indicators.

Free Decimal Correspondence (FDC)

A Dewey Decimal-inspired classification system with 3-level hierarchical labels. The FDC provides nested categories where each successive level refines its parent category. It's designed to be compatible with the Dewey Decimal System for library cataloging.

Level Structure:

  • Level 1: Top-level categories (0-9) covering broad subject areas like General works, Philosophy, Religion, Social Sciences, etc.
  • Level 2: Sub-divisions (00-99) that refine Level 1 categories
  • Level 3: Specific categories (000-999) that further refine Level 2 categories
Component Description Path
Primary Code Main classification code eai_taxonomy.free_decimal_correspondence.primary.code
Primary Level 1 Top-level category (0=General works, 1=Philosophy, 2=Religion, 3=Social Sciences, 4=Language, 5=Science, 6=Technology, 7=Arts, 8=Literature, 9=History/Geography) eai_taxonomy.free_decimal_correspondence.primary.labels.level_1
Primary Level 2 Mid-level category eai_taxonomy.free_decimal_correspondence.primary.labels.level_2
Primary Level 3 Specific category eai_taxonomy.free_decimal_correspondence.primary.labels.level_3
Secondary Code Alternative classification code eai_taxonomy.free_decimal_correspondence.secondary.code
Secondary Level 1 Alternative top-level category eai_taxonomy.free_decimal_correspondence.secondary.labels.level_1
Secondary Level 2 Alternative mid-level category eai_taxonomy.free_decimal_correspondence.secondary.labels.level_2
Secondary Level 3 Alternative specific category eai_taxonomy.free_decimal_correspondence.secondary.labels.level_3

We recommend this viewer for easily navigating the FDC categories when curating filters: https://www.librarything.com/mds

Bloom's Taxonomy Integration

Based on Anderson and Krathwohl's 2001 revision of Bloom's Taxonomy of Educational Objectives, providing two complementary categorization dimensions for educational content analysis.

Knowledge Domain

Categorizes the type of knowledge demonstrated in the document:

Component Description Path
Primary Code Main knowledge domain code eai_taxonomy.bloom_knowledge_domain.primary.code
Primary Label Main knowledge domain label eai_taxonomy.bloom_knowledge_domain.primary.label
Secondary Code Alternative knowledge domain code eai_taxonomy.bloom_knowledge_domain.secondary.code
Secondary Label Alternative knowledge domain label eai_taxonomy.bloom_knowledge_domain.secondary.label

Possible Values:

Code Label Description
-1 Abstain Unable to determine
1 Factual Basic elements to learn or solve problems
2 Conceptual Interrelationships between basic elements within larger context
3 Procedural Methods and techniques in the discipline
4 Metacognitive Awareness of how learning works in relation to oneself

Cognitive Processing Level

Assesses the learning and thinking skill levels demonstrated by the document author:

Component Description Path
Primary Code Main cognitive process code eai_taxonomy.bloom_cognitive_process.primary.code
Primary Label Main cognitive process label eai_taxonomy.bloom_cognitive_process.primary.label
Secondary Code Alternative cognitive process code eai_taxonomy.bloom_cognitive_process.secondary.code
Secondary Label Alternative cognitive process label eai_taxonomy.bloom_cognitive_process.secondary.label

Possible Values:

Code Label Description
-1 Abstain Unable to determine
1 Remember Retrieve relevant knowledge from memory
2 Understand Determine meaning of instructional messages
3 Apply Use a procedure in a given situation
4 Analyze Break materials into components and determine relationships
5 Evaluate Make judgments based on criteria and standards
6 Create Create new or original work
Document Characteristics

Document Type v1

In-house classification of common web document types and formats:

Component Description Path
Primary Code Main document type code eai_taxonomy.document_type_v1.primary.code
Primary Label Main document type label eai_taxonomy.document_type_v1.primary.label
Secondary Code Alternative document type code eai_taxonomy.document_type_v1.secondary.code
Secondary Label Alternative document type label eai_taxonomy.document_type_v1.secondary.label

Possible Values:

Code Label Examples
-1 Abstain Unable to classify
1 News/Editorial CNN articles, opinion columns
2 Academic/Research ArXiv papers, research articles
3 Reference/Encyclopedic/Educational FAQs, Wikipedia entries
4 Code/Software GitHub repos, code examples
5 Social/Forum Conversation threads, Q&A boards
6 Promotional/Advertisement Product pages, calls to action
7 Search/Directory/Bibliography Link pages, search results
8 Adult/Pornographic Adult content
9 Personal/Misc Blogs, user profiles
10 Machine-Generated Lorem ipsum, garbled text
11 Legal/Regulatory Contracts, terms of service
12 Government/Political Legislation, press releases
13 Literary/Creative Poems, short stories
14 Reviews/Critiques Film critiques, product reviews
15 E-Commerce/Marketplace eBay listings, Amazon pages
16 Images/Videos/Audio YouTube videos, Imgur pages
17 Other/Unclassified Documents that resist classification

Document Type v2

Updated classification based on WebOrganizer taxonomy with refined categories for improved document classification accuracy:

Component Description Path
Primary Code Main document type code (v2) eai_taxonomy.document_type_v2.primary.code
Primary Label Main document type label (v2) eai_taxonomy.document_type_v2.primary.label
Secondary Code Alternative document type code (v2) eai_taxonomy.document_type_v2.secondary.code
Secondary Label Alternative document type label (v2) eai_taxonomy.document_type_v2.secondary.label

Complete Value Mapping:

Code Label Examples
-1 Abstain Documents requiring human review
1 About (Org.) Company about pages, mission statements
2 About (Personal) Personal bios, LinkedIn profiles
3 Academic Writing Research papers, abstracts, dissertations
4 Audio Transcript Interview transcripts, court records, captions
5 Comment Section Reddit threads, blog comments
6 Content Listing Site maps, product catalogs, directory listings
7 Creative Writing Song lyrics, novel excerpts, poetry
8 Documentation API docs, README files, user manuals
9 FAQ FAQ pages, Q&A lists
10 Knowledge Article Wikipedia articles, Britannica entries
11 Legal Notices Privacy policies, license agreements, terms of service
12 Listicle Buzzfeed-style articles, "Top 10" lists
13 News (Org.) Government blog posts, corporate announcements
14 News Article Newspaper articles, CNN content, breaking news
15 Nonfiction Writing Editorials, obituaries, memoirs, opinion pieces
16 Personal Blog Personal journals, diary entries, lifestyle blogs
17 Product Page Product descriptions, course offerings, sales pages
18 Q&A Forum Quora posts, Stack Exchange discussions
19 Spam / Ads SEO keyword stuffing, promotional spam
20 Structured Data Datasheets, glossaries, JSON files, databases
21 Customer Support Help articles, troubleshooting guides
22 Truncated Paywalled sites, image galleries, partial content
23 Tutorial Cooking recipes, WikiHow pages, step-by-step guides
24 User Review Yelp reviews, TripAdvisor feedback, product reviews
25 Other/Unclassified Miscellaneous documents not fitting other categories

Extraction Artifacts

Assessment of technical extraction quality, identifying issues from HTML-to-text conversion:

Component Description Path
Primary Code Main extraction artifact code eai_taxonomy.extraction_artifacts.primary.code
Primary Label Main extraction artifact label eai_taxonomy.extraction_artifacts.primary.label
Secondary Code Alternative extraction artifact code eai_taxonomy.extraction_artifacts.secondary.code
Secondary Label Alternative extraction artifact label eai_taxonomy.extraction_artifacts.secondary.label

Possible Values:

Code Label Description
-1 Abstain Unable to determine
0 No Artifacts Clean text with no leftover HTML or irrelevant elements
1 Leftover HTML HTML/code artifacts remaining after extraction
2 Text Extraction Errors Broken math expressions, encoding errors, improperly parsed tables
3 Irrelevant Content Headers, footers, nav menus extracted by mistake
4 Indeterminate Insufficient content to judge

Missing Content

Assessment of content completeness and extraction success:

Component Description Path
Primary Code Main missing content code eai_taxonomy.missing_content.primary.code
Primary Label Main missing content label eai_taxonomy.missing_content.primary.label
Secondary Code Alternative missing content code eai_taxonomy.missing_content.secondary.code
Secondary Label Alternative missing content label eai_taxonomy.missing_content.secondary.label

Possible Values:

Code Label Description
-1 Abstain Unable to determine
0 No Missing Content Complete and coherent text
1 Truncated Snippets Obvious "...", incomplete paragraphs, cut-off text
2 Click Here References "Download here", "Click here" without linked content
3 Incoherent Flow Unreadable or illogical flow due to missing context
4 Missing Images or Figures Placeholders or references to missing visual content
5 Missing Referenced Data References to absent tables/datasets (e.g., "See Table 3")
6 Indeterminate Insufficient content to judge

Text Structure Information

Field Type Description Path
Line Start Indices List[Int32] Starting indices of each line line_start_n_end_idx.line_start_idx
Line End Indices List[Int32] Ending indices of each line line_start_n_end_idx.line_end_idx
Content Quality Dimensions

Quality assessment inspired by NaturalReasoning and FineWeb efforts to categorize web data by information sophistication.

Reasoning Depth

Assesses the complexity and sophistication of logical reasoning in the document:

Component Description Path
Primary Code Main reasoning depth code eai_taxonomy.reasoning_depth.primary.code
Primary Label Main reasoning depth label eai_taxonomy.reasoning_depth.primary.label
Secondary Code Alternative reasoning depth code eai_taxonomy.reasoning_depth.secondary.code
Secondary Label Alternative reasoning depth label eai_taxonomy.reasoning_depth.secondary.label

Possible Values:

Code Label Description
-1 Abstain Unable to determine
1 No Reasoning Facts present but no evidence of reasoning
2 Basic Reasoning Basic analysis with minimal explanation and summarization
3 Intermediate Reasoning Some logical steps connecting ideas and structured thinking
4 Advanced Reasoning Multi-step reasoning and thorough analysis with well-developed explanations
5 Exceptional Reasoning Novel abstractions, theoretical frameworks, long chain-of-thought, original insights, or proofs
6 Indeterminate Insufficient context to judge

Technical Correctness

Evaluates the accuracy and precision of technical information:

Component Description Path
Primary Code Main technical correctness code eai_taxonomy.technical_correctness.primary.code
Primary Label Main technical correctness label eai_taxonomy.technical_correctness.primary.label
Secondary Code Alternative technical correctness code eai_taxonomy.technical_correctness.secondary.code
Secondary Label Alternative technical correctness label eai_taxonomy.technical_correctness.secondary.label

Possible Values:

Code Label Description
-1 Abstain Unable to determine
1 Technically Flawed Significant errors undermining content validity
2 Partially Correct Some correctness but contains flaws, omissions, or errors
3 Mostly Correct Technical correctness with minor flaws or incomplete explanations
4 Highly Correct High technical correctness with precise definitions and clear explanations
5 Exceptionally Correct Exceptional technical correctness with formal proofs and flawless content
6 Not Applicable/Indeterminate No technical content or insufficient context

Education Level

Assesses the appropriate educational background required to comprehend the content:

Component Description Path
Primary Code Main education level code eai_taxonomy.education_level.primary.code
Primary Label Main education level label eai_taxonomy.education_level.primary.label
Secondary Code Alternative education level code eai_taxonomy.education_level.secondary.code
Secondary Label Alternative education level label eai_taxonomy.education_level.secondary.label

Possible Values:

Code Label Description
-1 Abstain Unable to determine
1 General Audience Accessible to anyone with basic literacy; simple terms
2 High School Level Requires high school education; specialized terminology explained for non-experts
3 Undergraduate Level Requires college education; uses specialized terminology and assumes background knowledge
4 Graduate/Expert Level Requires graduate education or domain expertise; assumes deep background knowledge
5 Indeterminate Insufficient content to judge educational level
Metadata

Metadata Structure

The metadata field contains a nested structure with web archive information:

Field Type Description Path
URL Information
URL String Original URL of the document metadata.url
Source Domain String Domain name of the source metadata.source_domain
Snapshot ID String Identifier for the web archive snapshot metadata.snapshot_id
WARC Metadata WARC (Web ARChive) format metadata
Content Length String Size of the content metadata.warc_metadata.Content-Length
Content Type String MIME type of the content metadata.warc_metadata.Content-Type
Block Digest String Checksum of the WARC block metadata.warc_metadata.WARC-Block-Digest
Concurrent To String Related WARC records metadata.warc_metadata.WARC-Concurrent-To
Date String Timestamp of the crawl metadata.warc_metadata.WARC-Date
IP Address String Source server IP address metadata.warc_metadata.WARC-IP-Address
Payload Type String Identified content type metadata.warc_metadata.WARC-Identified-Payload-Type
Payload Digest String Checksum of the payload metadata.warc_metadata.WARC-Payload-Digest
Record ID String Unique WARC record identifier metadata.warc_metadata.WARC-Record-ID
Target URI String Original target URL metadata.warc_metadata.WARC-Target-URI
Truncated String Truncation status metadata.warc_metadata.WARC-Truncated
Type String WARC record type metadata.warc_metadata.WARC-Type
Warcinfo ID String Associated warcinfo record metadata.warc_metadata.WARC-Warcinfo-ID
Additional Info
WARC Info String Additional WARC information metadata.warc_info
Quality Signals

The dataset includes two comprehensive quality assessment frameworks:

Red Pajama v2 Quality Metrics

Text quality indicators derived from the Red Pajama v2 filtering pipeline:

Content Structure Metrics

Metric Description Path
Original Length Original document length quality_signals.red_pajama_v2.ccnet_original_length
Original Lines Number of lines in original document quality_signals.red_pajama_v2.ccnet_original_nlines
Sentence Count Total sentence count quality_signals.red_pajama_v2.rps_doc_num_sentences
Word Count Total word count quality_signals.red_pajama_v2.rps_doc_word_count
Mean Word Length Average word length quality_signals.red_pajama_v2.rps_doc_mean_word_length

Language Quality Metrics

Metric Description Path
Stop Word Fraction Proportion of stop words quality_signals.red_pajama_v2.rps_doc_stop_word_fraction
Unique Words Fraction Fraction of unique words quality_signals.red_pajama_v2.rps_doc_frac_unique_words
All Caps Words Fraction of words in all capitals quality_signals.red_pajama_v2.rps_doc_frac_all_caps_words
Non-Alphabetic Words Fraction of non-alphabetic words quality_signals.red_pajama_v2.rps_doc_frac_no_alph_words
Unigram Entropy Entropy measure of word distribution quality_signals.red_pajama_v2.rps_doc_unigram_entropy

Content Pattern Analysis

Metric Description Path
Curly Bracket Density Curly bracket density (code indicator) quality_signals.red_pajama_v2.rps_doc_curly_bracket
Symbol-to-Word Ratio Symbol-to-word ratio quality_signals.red_pajama_v2.rps_doc_symbol_to_word_ratio
Ellipsis Line Endings Lines ending with ellipsis quality_signals.red_pajama_v2.rps_doc_frac_lines_end_with_ellipsis
Lorem Ipsum Detection Lorem ipsum text detection quality_signals.red_pajama_v2.rps_doc_lorem_ipsum
Offensive Content Potentially offensive content detection quality_signals.red_pajama_v2.rps_doc_ldnoobw_words
UT1 Blacklist UT1 blacklist filtering score quality_signals.red_pajama_v2.rps_doc_ut1_blacklist

Duplication Detection

Metric Description Path
5-gram Duplication Character-level duplication for 5-grams quality_signals.red_pajama_v2.rps_doc_frac_chars_dupe_5grams
6-gram Duplication Character-level duplication for 6-grams quality_signals.red_pajama_v2.rps_doc_frac_chars_dupe_6grams
7-gram Duplication Character-level duplication for 7-grams quality_signals.red_pajama_v2.rps_doc_frac_chars_dupe_7grams
8-gram Duplication Character-level duplication for 8-grams quality_signals.red_pajama_v2.rps_doc_frac_chars_dupe_8grams
9-gram Duplication Character-level duplication for 9-grams quality_signals.red_pajama_v2.rps_doc_frac_chars_dupe_9grams
10-gram Duplication Character-level duplication for 10-grams quality_signals.red_pajama_v2.rps_doc_frac_chars_dupe_10grams
Top 2-gram Coverage Most frequent 2-gram coverage quality_signals.red_pajama_v2.rps_doc_frac_chars_top_2gram
Top 3-gram Coverage Most frequent 3-gram coverage quality_signals.red_pajama_v2.rps_doc_frac_chars_top_3gram
Top 4-gram Coverage Most frequent 4-gram coverage quality_signals.red_pajama_v2.rps_doc_frac_chars_top_4gram

Domain Importance Scores

Metric Description Path
Books Importance Similarity to book content quality_signals.red_pajama_v2.rps_doc_books_importance
Books Importance (Length Corrected) Length-corrected books similarity quality_signals.red_pajama_v2.rps_doc_books_importance_length_correction
OpenWebText Importance Similarity to OpenWebText quality_signals.red_pajama_v2.rps_doc_openwebtext_importance
OpenWebText Importance (Length Corrected) Length-corrected OpenWebText similarity quality_signals.red_pajama_v2.rps_doc_openwebtext_importance_length_correction
Wikipedia Importance Similarity to Wikipedia quality_signals.red_pajama_v2.rps_doc_wikipedia_importance
Wikipedia Importance (Length Corrected) Length-corrected Wikipedia similarity quality_signals.red_pajama_v2.rps_doc_wikipedia_importance_length_correction

FastText Classification Scores

Domain and content type classification probabilities:

Metric Description Path
DCLM Score DataComp-LM classifier score quality_signals.fasttext.dclm
English Confidence English language confidence quality_signals.fasttext.english
Educational Content Educational content approximation quality_signals.fasttext.fineweb_edu_approx
General Math General mathematics content quality_signals.fasttext.eai_general_math
Web Math OWM Web-based mathematics content quality_signals.fasttext.eai_open_web_math
Code Content Code content detection quality_signals.fasttext.eai_web_code

How to Load the Dataset

This section provides examples of how to load the EssentialAI/eai-taxonomy-math-w-fm dataset using different Python libraries and frameworks.

Using Hugging Face Datasets (Standard Method)

The simplest way to load the dataset is using the Hugging Face datasets library:

from datasets import load_dataset

# Load the entire dataset
dataset = load_dataset("EssentialAI/eai-taxonomy-math-w-fm")

# View dataset structure
print(dataset)
print(f"Number of examples: {len(dataset['train'])}")

You can also load the dataset in streaming mode to avoid downloading the entire dataset at once:

from datasets import load_dataset

# Load in streaming mode
dataset = load_dataset("EssentialAI/eai-taxonomy-math-w-fm", streaming=True)
data_stream = dataset["train"]

# Iterate through examples
for example in data_stream.take(5):
    print(example)

Using PySpark

For large-scale distributed processing, you can load the dataset using PySpark with the pyspark_huggingface library:

# First install the required library:
# pip install pyspark_huggingface

import pyspark_huggingface
from pyspark.sql import SparkSession

# Initialize Spark session
spark = SparkSession.builder.appName("EAI-Taxonomy-Math").getOrCreate()

# Load the dataset using the "huggingface" data source
df = spark.read.format("huggingface").load("EssentialAI/eai-taxonomy-math-w-fm")

# Basic dataset exploration
print(f"Dataset shape: {df.count()} rows, {len(df.columns)} columns")
df.show(10)
df.printSchema()

# Load only specific columns for efficiency
df_subset = (
    spark.read.format("huggingface")
    .option("columns", '["column1", "column2"]')  # Replace with actual column names
    .load("EssentialAI/eai-taxonomy-math-w-fm")
)

# Run SQL queries on the dataset
df.createOrReplaceTempView("eai_math_dataset")
result = spark.sql("""
    SELECT COUNT(*) as total_examples
    FROM eai_math_dataset
""")
result.show()

Using Daft

Daft provides a modern DataFrame library optimized for machine learning workloads. You can load the dataset directly from Hugging Face:

import daft

# Load the entire dataset
df = daft.read_parquet("hf://datasets/EssentialAI/eai-taxonomy-math-w-fm")

# Basic exploration
print("Dataset schema:")
df.schema()

print("First 5 rows:")
df.show(5)

If you need to access private datasets or use authentication:

import daft
from daft.io import IOConfig, HTTPConfig

io_config = IOConfig(http=HTTPConfig(bearer_token="your_token"))
df = daft.read_parquet("hf://datasets/EssentialAI/eai-taxonomy-math-w-fm", io_config=io_config)

Installation Requirements

Make sure you have the required libraries installed:

# For Hugging Face datasets
pip install datasets

# For PySpark with Hugging Face integration
pip install pyspark_huggingface

# For Daft
pip install daft

📜 License

Essential-Web-v1.0 contributions are made available under the ODC attribution license; however, users should also abide by the Common Crawl - Terms of Use. We do not alter the license of any of the underlying data.

🎓 Citation

If you use this dataset, please cite our EssentialWeb paper:

@misc{ai2025essentialwebv1024ttokens,
      title={Essential-Web v1.0: 24T tokens of organized web data}, 
      author={Essential AI and : and Andrew Hojel and Michael Pust and Tim Romanski and Yash Vanjani and Ritvik Kapila and Mohit Parmar and Adarsh Chaluvaraju and Alok Tripathy and Anil Thomas and Ashish Tanwer and Darsh J Shah and Ishaan Shah and Karl Stratos and Khoi Nguyen and Kurt Smith and Michael Callahan and Peter Rushton and Philip Monk and Platon Mazarakis and Saad Jamal and Saurabh Srivastava and Somanshu Singla and Ashish Vaswani},
      year={2025},
      eprint={2506.14111},
      archivePrefix={arXiv},
      primaryClass={cs.CL},
      url={https://arxiv.org/abs/2506.14111}, 
}
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