Dataset Viewer
The dataset viewer is not available for this split.
Cannot extract the features (columns) for the split 'train' of the config 'default' of the dataset.
Error code: FeaturesError
Exception: ArrowInvalid
Message: JSON parse error: Column(/example) changed from string to object in row 43
Traceback: Traceback (most recent call last):
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/packaged_modules/json/json.py", line 160, in _generate_tables
df = pandas_read_json(f)
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/packaged_modules/json/json.py", line 38, in pandas_read_json
return pd.read_json(path_or_buf, **kwargs)
File "/src/services/worker/.venv/lib/python3.9/site-packages/pandas/io/json/_json.py", line 815, in read_json
return json_reader.read()
File "/src/services/worker/.venv/lib/python3.9/site-packages/pandas/io/json/_json.py", line 1025, in read
obj = self._get_object_parser(self.data)
File "/src/services/worker/.venv/lib/python3.9/site-packages/pandas/io/json/_json.py", line 1051, in _get_object_parser
obj = FrameParser(json, **kwargs).parse()
File "/src/services/worker/.venv/lib/python3.9/site-packages/pandas/io/json/_json.py", line 1187, in parse
self._parse()
File "/src/services/worker/.venv/lib/python3.9/site-packages/pandas/io/json/_json.py", line 1403, in _parse
ujson_loads(json, precise_float=self.precise_float), dtype=None
ValueError: Trailing data
During handling of the above exception, another exception occurred:
Traceback (most recent call last):
File "/src/services/worker/src/worker/job_runners/split/first_rows.py", line 228, in compute_first_rows_from_streaming_response
iterable_dataset = iterable_dataset._resolve_features()
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/iterable_dataset.py", line 3422, in _resolve_features
features = _infer_features_from_batch(self.with_format(None)._head())
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/iterable_dataset.py", line 2187, in _head
return next(iter(self.iter(batch_size=n)))
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/iterable_dataset.py", line 2391, in iter
for key, example in iterator:
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/iterable_dataset.py", line 1882, in __iter__
for key, pa_table in self._iter_arrow():
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/iterable_dataset.py", line 1904, in _iter_arrow
yield from self.ex_iterable._iter_arrow()
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/iterable_dataset.py", line 499, in _iter_arrow
for key, pa_table in iterator:
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/iterable_dataset.py", line 346, in _iter_arrow
for key, pa_table in self.generate_tables_fn(**gen_kwags):
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/packaged_modules/json/json.py", line 163, in _generate_tables
raise e
File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/packaged_modules/json/json.py", line 137, in _generate_tables
pa_table = paj.read_json(
File "pyarrow/_json.pyx", line 308, in pyarrow._json.read_json
File "pyarrow/error.pxi", line 154, in pyarrow.lib.pyarrow_internal_check_status
File "pyarrow/error.pxi", line 91, in pyarrow.lib.check_status
pyarrow.lib.ArrowInvalid: JSON parse error: Column(/example) changed from string to object in row 43Need help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.
Mathematics Formulas Dataset
A comprehensive collection of 183 essential mathematical formulas across 12 categories, formatted in JSONL for easy integration with educational software, study apps, and AI systems.
Dataset Overview
Total Formulas: 183
Categories: 12
Format: JSON Lines (.jsonl)
Size: ~45KB
Last Updated: October 2023
Categories Included
Algebra
Basic identities
Polynomial expansions
Quadratic formula
Exponential/logarithmic laws
Trigonometry
Fundamental identities
Angle formulas
Transformation formulas
Trigonometric laws
Calculus
Derivatives
Integrals
Special limits
Fundamental theorems
Geometry
Area/volume formulas
Coordinate geometry
Euler's formula
Vector operations
Probability & Statistics
Basic probability rules
Counting principles
Distribution formulas
Statistical measures
Complex Numbers
Algebraic operations
Polar form conversions
Exponential representation
Roots of unity
Vectors
Vector operations
Dot/cross products
Magnitude calculations
Geometric applications
Sequences & Series
Arithmetic/geometric sequences
Summation formulas
Financial applications
Logarithms
Logarithmic identities
Change of base
Special cases
Exponents
Exponent rules
Fractional exponents
Special cases
Radicals
Radical operations
Simplification rules
Exponent conversions
Logic
Logical equivalences
De Morgan's laws
Truth tables
JSONL Format Specification
Each line contains a complete JSON object with the following common fields:
json
{
"category": "Trigonometry",
"type": "Double Angle",
"formulas": [
"sin2θ = 2sinθcosθ",
"cos2θ = cos²θ - sin²θ"
],
"note": "Three equivalent forms for cosine",
"tags": ["angles", "identities"]
}
Standard Fields:
category: Primary subject area
type: Formula subcategory
formula(s): The mathematical expression(s)
variables: List of variables with descriptions (when applicable)
example: Worked examples (when provided)
note: Additional explanations
tags: Search keywords
Usage Examples
Python Integration
import json
with open('trigonometry.jsonl') as f:
for line in f:
formula = json.loads(line)
print(f"{formula['type']}: {formula['formulas'][0]}")
JavaScript Integration
const fs = require('fs');
const readline = require('readline');
const rl = readline.createInterface({
input: fs.createReadStream('algebra.jsonl'),
crlfDelay: Infinity
});
rl.on('line', (line) => {
const formula = JSON.parse(line);
console.log(formula.formulas[0]);
});
Applications
Educational Software: Power formula cheat sheets and auto-solving features
Flashcard Apps: Create spaced-repetition study decks
AI Training: Enhance math-solving language models
Reference Apps: Build comprehensive math handbooks
Tutoring Systems: Support step-by-step problem solving
Contribution Guidelines
Fork the repository
Add new formulas in the appropriate category file
Maintain consistent JSONL format
Include proper Unicode mathematical notation
License
This dataset is released under MIT License, allowing free use in both academic and commercial applications with attribution. Acknowledgements
Compiled by mathematics educators and formatted for machine readability.
owner :Sunny thakur
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