Technical note
|
27 Aug 2025
Technical note |
|
27 Aug 2025
Technical note: General formulation for the distribution problem – prognostic assumed probability density function (PDF) approach based on the maximum-entropy principle and the Liouville equation
Jun-Ichi Yano , Vincent E. Larson , and Vaughan T. J. Phillips
Viewed
Total article views: 4,357 (including HTML, PDF, and XML)
HTML
PDF
XML
Total
BibTeX
EndNote
4,065
247
45
4,357
63
96
HTML: 4,065
PDF: 247
XML: 45
Total: 4,357
BibTeX: 63
EndNote: 96
Views and downloads (calculated since 23 Jan 2024)
Month
HTML
PDF
XML
Total
Jan 2024
74
22
2
98
Feb 2024
51
11
6
68
Mar 2024
29
6
3
38
Apr 2024
28
9
7
44
May 2024
44
14
5
63
Jun 2024
19
12
5
36
Jul 2024
22
7
2
31
Aug 2024
14
2
0
16
Sep 2024
17
9
1
27
Oct 2024
8
7
0
15
Nov 2024
12
1
0
13
Dec 2024
7
6
1
14
Jan 2025
10
6
0
16
Feb 2025
14
8
0
22
Mar 2025
10
10
1
21
Apr 2025
10
11
0
21
May 2025
5
8
1
14
Jun 2025
21
13
0
34
Jul 2025
7
17
0
24
Aug 2025
800
24
3
827
Sep 2025
2,644
17
6
2,667
Oct 2025
149
17
2
168
Nov 2025
70
10
0
80
Cumulative views and downloads
(calculated since 23 Jan 2024)
Month
HTML views
PDF downloads
XML downloads
Jan 2024
74
22
2
98
Feb 2024
125
33
8
166
Mar 2024
154
39
11
204
Apr 2024
182
48
18
248
May 2024
226
62
23
311
Jun 2024
245
74
28
347
Jul 2024
267
81
30
378
Aug 2024
281
83
30
394
Sep 2024
298
92
31
421
Oct 2024
306
99
31
436
Nov 2024
318
100
31
449
Dec 2024
325
106
32
463
Jan 2025
335
112
32
479
Feb 2025
349
120
32
501
Mar 2025
359
130
33
522
Apr 2025
369
141
33
543
May 2025
374
149
34
557
Jun 2025
395
162
34
591
Jul 2025
402
179
34
615
Aug 2025
1,202
203
37
1,442
Sep 2025
3,846
220
43
4,109
Oct 2025
3,995
237
45
4,277
Nov 2025
4,065
247
45
4,357
Total article views: 3,706 (including HTML, PDF, and XML)
HTML
PDF
XML
Total
BibTeX
EndNote
3,640
55
11
3,706
35
44
HTML: 3,640
PDF: 55
XML: 11
Total: 3,706
BibTeX: 35
EndNote: 44
Views and downloads (calculated since 27 Aug 2025)
Month
HTML
PDF
XML
Total
Aug 2025
777
11
3
791
Sep 2025
2,644
17
6
2,667
Oct 2025
149
17
2
168
Nov 2025
70
10
0
80
Cumulative views and downloads
(calculated since 27 Aug 2025)
Month
HTML views
PDF downloads
XML downloads
Aug 2025
777
11
3
Sep 2025
3,421
28
9
Oct 2025
3,570
45
11
Nov 2025
3,640
55
11
Total article views: 651 (including HTML, PDF, and XML)
HTML
PDF
XML
Total
BibTeX
EndNote
425
192
34
651
28
52
HTML: 425
PDF: 192
XML: 34
Total: 651
BibTeX: 28
EndNote: 52
Views and downloads (calculated since 23 Jan 2024)
Month
HTML
PDF
XML
Total
Jan 2024
74
22
2
98
Feb 2024
51
11
6
68
Mar 2024
29
6
3
38
Apr 2024
28
9
7
44
May 2024
44
14
5
63
Jun 2024
19
12
5
36
Jul 2024
22
7
2
31
Aug 2024
14
2
0
16
Sep 2024
17
9
1
27
Oct 2024
8
7
0
15
Nov 2024
12
1
0
13
Dec 2024
7
6
1
14
Jan 2025
10
6
0
16
Feb 2025
14
8
0
22
Mar 2025
10
10
1
21
Apr 2025
10
11
0
21
May 2025
5
8
1
14
Jun 2025
21
13
0
34
Jul 2025
7
17
0
24
Aug 2025
23
13
0
36
Sep 2025
0
Oct 2025
0
Nov 2025
0
Cumulative views and downloads
(calculated since 23 Jan 2024)
Month
HTML views
PDF downloads
XML downloads
Jan 2024
74
22
2
Feb 2024
125
33
8
Mar 2024
154
39
11
Apr 2024
182
48
18
May 2024
226
62
23
Jun 2024
245
74
28
Jul 2024
267
81
30
Aug 2024
281
83
30
Sep 2024
298
92
31
Oct 2024
306
99
31
Nov 2024
318
100
31
Dec 2024
325
106
32
Jan 2025
335
112
32
Feb 2025
349
120
32
Mar 2025
359
130
33
Apr 2025
369
141
33
May 2025
374
149
34
Jun 2025
395
162
34
Jul 2025
402
179
34
Aug 2025
425
192
34
Sep 2025
425
192
34
Oct 2025
425
192
34
Nov 2025
425
192
34
Viewed (geographical distribution)
Total article views: 4,357 (including HTML, PDF, and XML)
Thereof 4,343 with geography defined
and 14 with unknown origin.
Total article views: 3,706 (including HTML, PDF, and XML)
Thereof 3,706 with geography defined
and 0 with unknown origin.
Total article views: 651 (including HTML, PDF, and XML)
Thereof 637 with geography defined
and 14 with unknown origin.
Total:
0
HTML:
0
PDF:
0
XML:
0
Total:
0
HTML:
0
PDF:
0
XML:
0
Total:
0
HTML:
0
PDF:
0
XML:
0
Latest update: 19 Nov 2025