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id
int64
1
300
x1
float64
-9.95
9.99
x2
float64
-9.89
9.89
x3
float64
1.03
20
x4
float64
0.15
4.99
x5
float64
-5
5
x6
float64
1.05
10
addition
float64
-18.52
18.6
subtraction
float64
-18.19
16.1
multiplication
float64
-82.48
86
division
float64
-222.58
26.5
sin_x1
float64
-1
1
cos_x1
float64
-1
1
tan_x1
float64
-229.54
189
log_x3
float64
0.03
2.99
sqrt_x3
float64
1.02
4.47
quadratic
float64
-16.19
114
exp_x4
float64
1.16
147
circle_area
float64
0.07
78.1
rectangle_area
float64
-82.48
86
triangle_area
float64
-41.24
43
mean
float64
-9.26
9.28
std_dev
float64
0.01
9.1
hypotenuse
float64
0.83
13.1
dot_product
float64
-103.13
103
vector_magnitude
float64
1.99
13.2
complex_operation
float64
-9.21
62.7
x1_scaled
float64
-1.79
1.72
x2_scaled
float64
-1.71
1.69
x3_scaled
float64
-1.82
1.77
x4_scaled
float64
-1.85
1.75
x5_scaled
float64
-1.75
1.7
x6_scaled
float64
-1.69
1.76
x1_squared
float64
0.01
99.7
x2_squared
float64
0
97.9
x1_x2_interaction
float64
-82.48
86
1
2.7885
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6.2256
1.1937
2.3647
7.0903
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1.8287
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16.1048
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57.0358
1.5721
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78.0813
1.7752
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6.2062
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53.3487
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1.5479
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2.4149
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130.0953
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28.2229
14.1114
5.3686
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7.6708
19.9614
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4.5363
1.041892
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1.660704
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2.7137
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2.0619
14.131
39.3589
42.3766
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0.389
3.6783
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11
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27.4133
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End of preview. Expand in Data Studio

πŸ“Š Mathematical Feature Engineering Dataset

This repository provides a synthetic dataset with 200+ rows, created for testing, learning, and experimenting with feature engineering, mathematical transformations, and machine learning pipelines.

πŸ“‚ Dataset Overview

Each row contains 6 initial variables (x1 … x6) and multiple derived features generated through arithmetic, trigonometric, logarithmic, exponential, statistical, and geometric operations.

Columns Description

  • Base Features

    • x1 … x6 β†’ Random continuous variables
  • Basic Arithmetic

    • addition β†’ x1 + x2
    • subtraction β†’ x1 - x2
    • multiplication β†’ x1 Γ— x2
    • division β†’ x1 Γ· x2
  • Trigonometric

    • sin_x1, cos_x1, tan_x1
  • Logarithmic & Roots

    • log_x3 β†’ natural log of x3
    • sqrt_x3 β†’ square root of x3
  • Polynomial & Exponential

    • quadratic β†’ quadratic transformation of x1
    • exp_x4 β†’ exponential of x4
  • Geometric

    • circle_area β†’ Ο€ Γ— (x1)Β²
    • rectangle_area β†’ x1 Γ— x2
    • triangle_area β†’ 0.5 Γ— x1 Γ— x2
  • Statistical

    • mean β†’ average of selected features
    • std_dev β†’ standard deviation
    • hypotenuse β†’ √(x1Β² + x2Β²)
    • dot_product β†’ dot product of vectors
    • vector_magnitude β†’ magnitude of vector [x1 … x6]
  • Advanced / Engineered

    • complex_operation β†’ custom nonlinear combination
    • x1_scaled … x6_scaled β†’ normalized values
    • x1_squared, x2_squared β†’ polynomial features
    • x1_x2_interaction β†’ interaction between x1 and x2

🎯 Use Cases

  • Practicing feature engineering
  • Machine learning model experimentation
  • Data transformation testing
  • Educational material for:
    • Linear algebra
    • Trigonometry
    • Statistics
    • Geometry

πŸ“œ License

This dataset is open source under the Apache 2.0 License.

Note: This dataset was developed and released by Eris Dataworks, a part of Berinspa.


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