Variables from 3 to 81 consist on average of mean and standard deviation measurements from the "Human Activity Recognition Using Smartphones Data Set".
According to the study description, this variables from 3 to 81 can be read corresponding to the next description:
"The features selected for this database come from the accelerometer and gyroscope 3-axial raw signals tAcc-XYZ and tGyro-XYZ. These time domain signals (prefix 't' to denote time) were captured at a constant rate of 50 Hz. Then they were filtered using a median filter and a 3rd order low pass Butterworth filter with a corner frequency of 20 Hz to remove noise. Similarly, the acceleration signal was then separated into body and gravity acceleration signals (tBodyAcc-XYZ and tGravityAcc-XYZ) using another low pass Butterworth filter with a corner frequency of 0.3 Hz"
"Subsequently, the body linear acceleration and angular velocity were derived in time to obtain Jerk signals (tBodyAccJerk-XYZ and tBodyGyroJerk-XYZ). Also the magnitude of these three-dimensional signals were calculated using the Euclidean norm (tBodyAccMag, tGravityAccMag, tBodyAccJerkMag, tBodyGyroMag, tBodyGyroJerkMag)"
"Finally a Fast Fourier Transform (FFT) was applied to some of these signals producing fBodyAcc-XYZ, fBodyAccJerk-XYZ, fBodyGyro-XYZ, fBodyAccJerkMag, fBodyGyroMag, fBodyGyroJerkMag. (Note the 'f' to indicate frequency domain signals)"
"These signals were used to estimate variables of the feature vector for each pattern:
'-XYZ' is used to denote 3-axial signals in the X, Y and Z directions"
1 "subject"
Subject identificator: 1 to 30 (number of participants in the original study)
2 "activity"
Activity identificator:
1 walking
2 walking_upstair
3 walking_dowstairs
4 sitting
5 standing
6 laying
3 "tBodyAccmeanX"
4 "tBodyAccmeanY"
5 "tBodyAccmeanZ"
6 "tBodyAccstdX"
7 "tBodyAccstdY"
8 "tBodyAccstdZ"
9 "tGravityAccmeanX"
10 "tGravityAccmeanY"
11 "tGravityAccmeanZ"
12 "tGravityAccstdX"
13 "tGravityAccstdY"
14 "tGravityAccstdZ"
15 "tBodyAccJerkmeanX"
16 "tBodyAccJerkmeanY"
17 "tBodyAccJerkmeanZ"
18 "tBodyAccJerkstdX"
19 "tBodyAccJerkstdY"
20 "tBodyAccJerkstdZ"
21 "tBodyGyromeanX"
22 "tBodyGyromeanY"
23 "tBodyGyromeanZ"
24 "tBodyGyrostdX"
25 "tBodyGyrostdY"
26 "tBodyGyrostdZ"
27 "tBodyGyroJerkmeanX"
28 "tBodyGyroJerkmeanY"
29 "tBodyGyroJerkmeanZ"
30 "tBodyGyroJerkstdX"
31 "tBodyGyroJerkstdY"
32 "tBodyGyroJerkstdZ"
33 "tBodyAccMagmean"
34 "tBodyAccMagstd"
35 "tGravityAccMagmean"
36 "tGravityAccMagstd"
37 "tBodyAccJerkMagmean"
38 "tBodyAccJerkMagstd"
39 "tBodyGyroMagmean"
40 "tBodyGyroMagstd"
41 "tBodyGyroJerkMagmean"
42 "tBodyGyroJerkMagstd"
43 "fBodyAccmeanX"
44 "fBodyAccmeanY"
45 "fBodyAccmeanZ"
46 "fBodyAccstdX"
47 "fBodyAccstdY"
48 "fBodyAccstdZ"
49 "fBodyAccmeanFreqX"
50 "fBodyAccmeanFreqY"
51 "fBodyAccmeanFreqZ"
52 "fBodyAccJerkmeanX"
53 "fBodyAccJerkmeanY"
54 "fBodyAccJerkmeanZ"
55 "fBodyAccJerkstdX"
56 "fBodyAccJerkstdY"
57 "fBodyAccJerkstdZ"
58 "fBodyAccJerkmeanFreqX"
59 "fBodyAccJerkmeanFreqY"
60 "fBodyAccJerkmeanFreqZ"
61 "fBodyGyromeanX"
62 "fBodyGyromeanY"
63 "fBodyGyromeanZ"
64 "fBodyGyrostdX"
65 "fBodyGyrostdY"
66 "fBodyGyrostdZ"
67 "fBodyGyromeanFreqX"
68 "fBodyGyromeanFreqY"
69 "fBodyGyromeanFreqZ"
70 "fBodyAccMagmean"
71 "fBodyAccMagstd"
72 "fBodyAccMagmeanFreq"
73 "fBodyBodyAccJerkMagmean"
74 "fBodyBodyAccJerkMagstd"
75 "fBodyBodyAccJerkMagmeanFreq"
76 "fBodyBodyGyroMagmean"
77 "fBodyBodyGyroMagstd"
78 "fBodyBodyGyroMagmeanFreq"
79 "fBodyBodyGyroJerkMagmean"
80 "fBodyBodyGyroJerkMagstd"
81 "fBodyBodyGyroJerkMagmeanFreq"