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Table 2 Detailed information of each 1st level unit

From: Automated labeling of PDF mathematical exercises with word N-grams VSM classification

Unit Name

Part

English translation of the Unit Name

\(n\left({L}_{{l}_{2}}\right)\)

\(n({Q}_{l})\)

\(\stackrel{-}{n({T}_{l})}\)

\({s}_{{T}_{l}}\)

数と式

I

Number and formula

18

125

51.8

43.3

集合と命題

I

Set theory

9

60

124.9

79.4

二次関数

I

Quadratic function

15

200

123.3

42.6

図形と計量

I

Measuring graphics

10

85

78.7

49.7

データ分析

I

Data analysis

3

25

107.0

60.2

式と証明

II

Formulas and proofs

10

95

50.3

40.9

複素数と方程式

II

Complex numbers and equations

12

115

66.5

45.1

図形と方程式

II

Geometric equations

16

135

88.1

62.2

三角関数

II

Trigonometric function

11

90

87.7

42.6

指数関数と対数関数

II

Exponential or logarithmic function

8

70

84.1

44.1

微分法

II

Differentiation

6

100

125.0

51.9

積分法

II

Integration

6

70

92.3

41.6

複素数平面

III

Complex plane

8

100

111.7

59.5

極限

III

Limit

12

120

83.2

43.0

式と曲線

III

Equations and curves

18

175

145.2

64.9

微分法応用

III

High-leveled differentiation

17

175

110.1

46.2

積分法応用

III

High-leveled integration

18

200

91.6

54.6

場合

A

Number of cases

13

120

121.9

104.3

確率

A

Probability

11

90

115.3

74.9

図形性質

A

Geometric properties

16

110

87.4

54.6

整数性質

A

Properties of integers

16

160

81.8

61.7

平面上ベクトル

B

Two-dimensional vector

16

125

89.0

52.5

空間ベクトル

B

Three-dimensional vector

10

95

104.4

47.8

数列

B

Sequence

18

135

114.3

57.9

All exercises

  

297

2775

98.5

61.4