We introduce and investigate the Henstock-Kurzweil (HK) integral for
Riesz-space-valued functions on time scales. Some basic properties of the HK
delta integral for Riesz-space-valued functions are proved. Further, we prove
uniform and monotone convergence theorems.Comment: This is a preprint of a paper whose final and definite form is with
  'J. Nonlinear Sci. Appl.', ISSN 2008-1898 (Print) ISSN 2008-1901 (Online).
  Article Submitted 17-Jan-2017; Revised 17-Apr-2017; Accepted for publication
  19-Apr-2017. See [http://www.tjnsa.com

Brown, André EX

Ch'ng, Quee-Lim

Currie, Michael

Grundy, Laura J

Hokanson, Jim

Javer, Avelino

Kerr, Rex

Lee, Chee Wai

Li, Chris

Li, Kezhi

Schafer, William R

Yemini, Eviatar

English

arXiv

This experiment is part of the C.elegans behavioural database. For more information and the complete collection of experiments visit http://movement.openworm.org



preview link : https://www.youtube.com/watch?v=c3unfpIj2f4
strain : N2
timestamp : 2011-03-09T11:58:06+00:00
gene : -N/A-
chromosome : -N/A-
allele : -N/A-
strain_description : Schafer Lab N2 (Bristol, UK)
sex : hermaphrodite
stage : adult
ventral_side : anticlockwise
media : NGM agar low peptone
arena :   
  style : petri
  size : 35
  orientation : away
  

food : OP50
habituation : 30m wait
who : Laura Grundy
protocol : Method in E. Yemini et al. doi:10.1038/nmeth.2560. Worm transferred to arena 30 minutes before recording starts.
lab :   
  name : William R Schafer
  location : MRC Laboratory of Molecular Biology, Hills Road, Cambridge, CB2 0QH, UK
  

software :   
  name : tierpsy (https://github.com/ver228/tierpsy-tracker)
  version : cbfc23eb4f1ac2f29be75ade7a937eed58a5b219
  featureID : @OMG
  

base_name : N2 on food R_2011_03_09__11_58_06___6___3
total time (s) : 899.033
frames per second : 30.03
video micrometers per pixel : 4.52262
number of segmented skeletons : 2684

ZENODO

N2 Schafer Lab N2 (Bristol, UK) | 2011-03-09T11:58:06+00:00

<blockquote>
This experiment is part of the C.elegans behavioural database. For more information and the complete collection of experiments visit http://movement.openworm.org
</blockquote>

<ul>
<li>preview link : https://www.youtube.com/watch?v=VcpkaTL5IZg</li>
<li>strain : N2</li>
<li>timestamp : 2009-11-18T10:12:18+00:00</li>
<li>gene : -N/A-</li>
<li>chromosome : -N/A-</li>
<li>allele : -N/A-</li>
<li>strain_description : Schafer Lab N2 (Bristol, UK)</li>
<li>sex : hermaphrodite</li>
<li>stage : adult</li>
<li>ventral_side : clockwise</li>
<li>media : NGM agar low peptone</li>
<li>arena : <ul>
 <li>style : petri</li>
 <li>size : 35</li>
 <li>orientation : away</li>
 </ul>
</li>
<li>food : OP50</li>
<li>habituation : 30m wait</li>
<li>who : Laura Grundy</li>
<li>protocol : Method in E. Yemini et al. doi:10.1038/nmeth.2560. Worm transferred to arena 30 minutes before recording starts.</li>
<li>lab : <ul>
 <li>name : William R Schafer</li>
 <li>location : MRC Laboratory of Molecular Biology, Hills Road, Cambridge, CB2 0QH, UK</li>
 </ul>
</li>
<li>software : <ul>
 <li>name : tierpsy (https://github.com/ver228/tierpsy-tracker)</li>
 <li>version : cbfc23eb4f1ac2f29be75ade7a937eed58a5b219</li>
 <li>featureID : @OMG</li>
 </ul>
</li>
<li>base_name : N2 on food L_2009_11_18__10_12_18___4___1</li>
<li>total time (s) : 898.48</li>
<li>frames per second : 26.1097</li>
<li>video micrometers per pixel : 4.69255</li>
<li>number of segmented skeletons : 20068</li>
</ul

Javer, Avelino (5398151)

Currie, Michael (5398160)

Hokanson, Jim (5398172)

Lee, Chee Wai (5398145)

Li, Kezhi (5398157)

Yemini, Eviatar (5398169)

Grundy, Laura J (5398148)

Li, Chris (5398175)

Ch'ng, Quee-Lim (5398154)

Schafer, William R (5398166)

Kerr, Rex (5398163)

Brown, André EX (5398142)

FigShare

N2 Schafer Lab N2 (Bristol, UK) | 2009-11-18T10:12:18+00:00

This experiment is part of the C.elegans behavioural database. For more information and the complete collection of experiments visit http://movement.openworm.org



preview link : https://www.youtube.com/watch?v=u2MgrjHEiiE
strain : N2
timestamp : 2012-02-09T11:16:00+00:00
gene : -N/A-
chromosome : -N/A-
allele : -N/A-
strain_description : Schafer Lab N2 (Bristol, UK)
sex : hermaphrodite
stage : adult
ventral_side : clockwise
media : NGM agar low peptone
arena :   
  style : petri
  size : 35
  orientation : away
  

food : OP50
habituation : 30m wait
who : Laura Grundy
protocol : Method in E. Yemini et al. doi:10.1038/nmeth.2560. Worm transferred to arena 30 minutes before recording starts.
lab :   
  name : William R Schafer
  location : MRC Laboratory of Molecular Biology, Hills Road, Cambridge, CB2 0QH, UK
  

software :   
  name : tierpsy (https://github.com/ver228/tierpsy-tracker)
  version : cbfc23eb4f1ac2f29be75ade7a937eed58a5b219
  featureID : @OMG
  

base_name : N2 on food L_2012_02_09__11_16___3___3
total time (s) : 898.139
frames per second : 21.3675
video micrometers per pixel : 4.43159
number of segmented skeletons : 1525

N2 Schafer Lab N2 (Bristol, UK) | 2012-02-09T11:16:00+00:00

This experiment is part of the C.elegans behavioural database. For more information and the complete collection of experiments visit http://movement.openworm.org



preview link : https://www.youtube.com/watch?v=sVuMUgVrbJE
strain : N2
timestamp : 2012-02-09T10:54:00+00:00
gene : -N/A-
chromosome : -N/A-
allele : -N/A-
strain_description : Schafer Lab N2 (Bristol, UK)
sex : hermaphrodite
stage : adult
ventral_side : clockwise
media : NGM agar low peptone
arena :   
  style : petri
  size : 35
  orientation : away
  

food : OP50
habituation : 30m wait
who : Laura Grundy
protocol : Method in E. Yemini et al. doi:10.1038/nmeth.2560. Worm transferred to arena 30 minutes before recording starts.
lab :   
  name : William R Schafer
  location : MRC Laboratory of Molecular Biology, Hills Road, Cambridge, CB2 0QH, UK
  

software :   
  name : tierpsy (https://github.com/ver228/tierpsy-tracker)
  version : cbfc23eb4f1ac2f29be75ade7a937eed58a5b219
  featureID : @OMG
  

base_name : N2 on food L_2012_02_09__10_54_00___2___2
total time (s) : 898.967
frames per second : 30.03
video micrometers per pixel : 4.38947
number of segmented skeletons : 2657

N2 Schafer Lab N2 (Bristol, UK) | 2012-02-09T10:54:00+00:00

<blockquote>
This experiment is part of the C.elegans behavioural database. For more information and the complete collection of experiments visit http://movement.openworm.org
</blockquote>

<ul>
<li>preview link : https://www.youtube.com/watch?v=QlMW2rjQPfA</li>
<li>strain : N2</li>
<li>timestamp : 2011-03-15T12:40:21+00:00</li>
<li>gene : -N/A-</li>
<li>chromosome : -N/A-</li>
<li>allele : -N/A-</li>
<li>strain_description : Schafer Lab N2 (Bristol, UK)</li>
<li>sex : hermaphrodite</li>
<li>stage : adult</li>
<li>ventral_side : clockwise</li>
<li>media : NGM agar low peptone</li>
<li>arena : <ul>
 <li>style : petri</li>
 <li>size : 35</li>
 <li>orientation : away</li>
 </ul>
</li>
<li>food : OP50</li>
<li>habituation : 30m wait</li>
<li>who : Laura Grundy</li>
<li>protocol : Method in E. Yemini et al. doi:10.1038/nmeth.2560. Worm transferred to arena 30 minutes before recording starts.</li>
<li>lab : <ul>
 <li>name : William R Schafer</li>
 <li>location : MRC Laboratory of Molecular Biology, Hills Road, Cambridge, CB2 0QH, UK</li>
 </ul>
</li>
<li>software : <ul>
 <li>name : tierpsy (https://github.com/ver228/tierpsy-tracker)</li>
 <li>version : cbfc23eb4f1ac2f29be75ade7a937eed58a5b219</li>
 <li>featureID : @OMG</li>
 </ul>
</li>
<li>base_name : N2 on food L_2011_03_15__12_40_21__5</li>
<li>total time (s) : 899.0</li>
<li>frames per second : 30.03</li>
<li>video micrometers per pixel : 4.45319</li>
<li>number of segmented skeletons : 26649</li>
</ul

N2 Schafer Lab N2 (Bristol, UK) | 2011-03-15T12:40:21+00:00

This experiment is part of the C.elegans behavioural database. For more information and the complete collection of experiments visit http://movement.openworm.org



preview link : https://www.youtube.com/watch?v=QlMW2rjQPfA
strain : N2
timestamp : 2011-03-15T12:40:21+00:00
gene : -N/A-
chromosome : -N/A-
allele : -N/A-
strain_description : Schafer Lab N2 (Bristol, UK)
sex : hermaphrodite
stage : adult
ventral_side : clockwise
media : NGM agar low peptone
arena :   
  style : petri
  size : 35
  orientation : away
  

food : OP50
habituation : 30m wait
who : Laura Grundy
protocol : Method in E. Yemini et al. doi:10.1038/nmeth.2560. Worm transferred to arena 30 minutes before recording starts.
lab :   
  name : William R Schafer
  location : MRC Laboratory of Molecular Biology, Hills Road, Cambridge, CB2 0QH, UK
  

software :   
  name : tierpsy (https://github.com/ver228/tierpsy-tracker)
  version : cbfc23eb4f1ac2f29be75ade7a937eed58a5b219
  featureID : @OMG
  

base_name : N2 on food L_2011_03_15__12_40_21__5
total time (s) : 899.0
frames per second : 30.03
video micrometers per pixel : 4.45319
number of segmented skeletons : 2664

This experiment is part of the C.elegans behavioural database. For more information and the complete collection of experiments visit http://movement.openworm.org



preview link : https://www.youtube.com/watch?v=aR1t3vwcq_Q
strain : N2
timestamp : 2011-05-26T11:29:27+01:00
gene : -N/A-
chromosome : -N/A-
allele : -N/A-
strain_description : Schafer Lab N2 (Bristol, UK)
sex : hermaphrodite
stage : adult
ventral_side : clockwise
media : NGM agar low peptone
arena :   
  style : petri
  size : 35
  orientation : away
  

food : OP50
habituation : 30m wait
who : Laura Grundy
protocol : Method in E. Yemini et al. doi:10.1038/nmeth.2560. Worm transferred to arena 30 minutes before recording starts.
lab :   
  name : William R Schafer
  location : MRC Laboratory of Molecular Biology, Hills Road, Cambridge, CB2 0QH, UK
  

software :   
  name : tierpsy (https://github.com/ver228/tierpsy-tracker)
  version : cbfc23eb4f1ac2f29be75ade7a937eed58a5b219
  featureID : @OMG
  

base_name : N2 5 on food L_2011_05_26__11_29_27__1
total time (s) : 898.967
frames per second : 30.03
video micrometers per pixel : 4.45319
number of segmented skeletons : 2621

N2 Schafer Lab N2 (Bristol, UK) | 2011-05-26T11:29:27+01:00

<blockquote>
This experiment is part of the C.elegans behavioural database. For more information and the complete collection of experiments visit http://movement.openworm.org
</blockquote>

<ul>
<li>preview link : https://www.youtube.com/watch?v=3M4dedP2C3w</li>
<li>strain : N2</li>
<li>timestamp : 2011-03-15T12:02:45+00:00</li>
<li>gene : -N/A-</li>
<li>chromosome : -N/A-</li>
<li>allele : -N/A-</li>
<li>strain_description : Schafer Lab N2 (Bristol, UK)</li>
<li>sex : hermaphrodite</li>
<li>stage : adult</li>
<li>ventral_side : clockwise</li>
<li>media : NGM agar low peptone</li>
<li>arena : <ul>
 <li>style : petri</li>
 <li>size : 35</li>
 <li>orientation : away</li>
 </ul>
</li>
<li>food : OP50</li>
<li>habituation : 30m wait</li>
<li>who : Laura Grundy</li>
<li>protocol : Method in E. Yemini et al. doi:10.1038/nmeth.2560. Worm transferred to arena 30 minutes before recording starts.</li>
<li>lab : <ul>
 <li>name : William R Schafer</li>
 <li>location : MRC Laboratory of Molecular Biology, Hills Road, Cambridge, CB2 0QH, UK</li>
 </ul>
</li>
<li>software : <ul>
 <li>name : tierpsy (https://github.com/ver228/tierpsy-tracker)</li>
 <li>version : cbfc23eb4f1ac2f29be75ade7a937eed58a5b219</li>
 <li>featureID : @OMG</li>
 </ul>
</li>
<li>base_name : N2 on food L_2011_03_15__12_02_45___6___3</li>
<li>total time (s) : 899.033</li>
<li>frames per second : 30.03</li>
<li>video micrometers per pixel : 4.52262</li>
<li>number of segmented skeletons : 26999</li>
</ul

N2 Schafer Lab N2 (Bristol, UK) | 2011-03-15T12:02:45+00:00

<blockquote>
This experiment is part of the C.elegans behavioural database. For more information and the complete collection of experiments visit http://movement.openworm.org
</blockquote>

<ul>
<li>preview link : https://www.youtube.com/watch?v=3Itzr8p32ss</li>
<li>strain : N2</li>
<li>timestamp : 2010-11-09T16:37:00+00:00</li>
<li>gene : -N/A-</li>
<li>chromosome : -N/A-</li>
<li>allele : -N/A-</li>
<li>strain_description : Schafer Lab N2 (Bristol, UK)</li>
<li>sex : hermaphrodite</li>
<li>stage : adult</li>
<li>ventral_side : anticlockwise</li>
<li>media : NGM agar low peptone</li>
<li>arena : <ul>
 <li>style : petri</li>
 <li>size : 35</li>
 <li>orientation : away</li>
 </ul>
</li>
<li>food : OP50</li>
<li>habituation : 30m wait</li>
<li>who : Laura Grundy</li>
<li>protocol : Method in E. Yemini et al. doi:10.1038/nmeth.2560. Worm transferred to arena 30 minutes before recording starts.</li>
<li>lab : <ul>
 <li>name : William R Schafer</li>
 <li>location : MRC Laboratory of Molecular Biology, Hills Road, Cambridge, CB2 0QH, UK</li>
 </ul>
</li>
<li>software : <ul>
 <li>name : tierpsy (https://github.com/ver228/tierpsy-tracker)</li>
 <li>version : cbfc23eb4f1ac2f29be75ade7a937eed58a5b219</li>
 <li>featureID : @OMG</li>
 </ul>
</li>
<li>base_name : N2 on food R_2010_11_09__16_37___3___12</li>
<li>total time (s) : 898.967</li>
<li>frames per second : 30.03</li>
<li>video micrometers per pixel : 4.7302</li>
<li>number of segmented skeletons : 26484</li>
</ul

N2 Schafer Lab N2 (Bristol, UK) | 2010-11-09T16:37:00+00:00

https://figshare.com/articles/N2_Schafer_Lab_N2_Bristol_UK_2012-02-09T10_54_00_00_00/6912095

On the Henstock-Kurzweil Integral for Riesz-space-valued Functions on Time Scales

Abstract

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