First Exercise: Prerequisites and Simple Editing Exercise

Introduction

Prerequisites of the School

Must be register student and must know his.her registration ID

NCP server login and password

Laptop registration

Basics of Linux and installation of Mobextrum for Linux

Obtain a github account:

Since Summer 2013, most of the CMS software are hosted on Github. Github is a Git repository web-based hosting service, while Git is a distributed revision control system. In your future analysis work, version control of your analysis code will become a very important task and git will be very useful. A small git tutorial will wait for you in the fifth exercise set.

In order to checkout and develop CMS software, you will need a github account, which is free.

NOTE: Legend of colors for this tutorial:

GRAY background for the commands to execute  (cut&paste)
GREEN background for the output sample of the executed commands
BLUE background for the configuration files  (cut&paste)
PINK background for the code (EDAnalyzer etc.)  (cut&paste)

Exercise 1 - Cut and Paste

This exercise is designed to run only on cmslpc-sl6 as copies of the scripts are present there.

Login to the cmslpc-sl6 cluster. If you are preparing for CMSDAS@LPC2018 please know that the cmslpc-sl6 is the cluster you are supposed to use. By now you should have a FNAL account that you can use to get kerberos credential and follow the instructions on how to log in to the LPC cluster.

As the exercises often require copying and pasting from instruction, we will make sure that you will have no problems. To verify if cut and paste to/from a terminal window works, first copy the script runThisCommand.py as follows.

To connect to cmslpc-sl6 at Fermilab, try the following commands (Mac/Linux, Windows use the putty or cygwin instructions above):

kinit YourUsername@FNAL.GOV
Enter the kerberos principle password for your account and then connect:
ssh -Y YourUsername@cmslpc-sl6.fnal.gov
Once connected (Mac/Linux/Windows):
cp ~cmsdas/runThisCommand.py .
chmod +x runThisCommand.py

ssh -Y USERNAME@lxplus6.cern.ch
USERNAME@lxplus6.cern.ch's password: 
Enter the password and then do:
cp /afs/cern.ch/cms/Tutorials/TWIKI_DATA/runThisCommand.py .

and then cut and paste the following and then hit return

./runThisCommand.py "asdf;klasdjf;kakjsdf;akjf;aksdljf;a" "sldjfqewradsfafaw4efaefawefzdxffasdfw4ffawefawe4fawasdffadsfef"

The response should be your username followed by alphanumeric string of characters unique to your username, for example for a user named gbenelli:

success: gbenelli toraryyv

QUESTION 1 - Post the alphanumeric string of characters unique to your username. For CMSDAS@LPC2018 please submit your answers for the CMSDAS@LPC2018 Google Form first set.

If you executed the command without copy-pasting:

./runThisCommand.py

the command will return:

Error: You must provide the secret key

Alternately, copying incorrectly will return

Error: You didn't paste the correct input string

If you are not running on cmslpc-sl6 (for example locally on a laptop), will result in:

bash: ./runThisCommand.py: No such file or directory

OR:

Unknown user: gbenelli.

Exercise 2 - Simple Edit Exercise

This exercise is designed to run only on cmslpc-sl6.

The purpose of this exercise is to ensure that the user can edit files. This means that you need to be able to use one of the standard text editors (emacs, pico, nano, vi, vim, etc.) available on the cluster you are running (cmslpc-sl6), open a file, edit it and save it!

On the cmslpc-sl6 cluster:

cp ~cmsdas/editThisCommand.py .

Then open editThisCommand.py with your favorite editor (e.g. emacs -nw editThisCommand.py) and make sure that the 11th line has # (hash character) as the first character of the line. If not, explicitly change the following three lines:

# Please comment the line below out by adding a '#' to the front of
# the line.
raise RuntimeError, "You need to comment out this line with a #"

to:

# Please comment the line below out by adding a '#' to the front of
# the line.
#raise RuntimeError, "You need to comment out this line with a #"

Save the file (e.g. in emacs CTRL+x CTRL+s to save, CTRL+x CTRL+c to quit the editor) and execute the command:

./editThisCommand.py

If this is successful, the result will be:

success:  gbenelli 0x6D0DB4E0

QUESTION 2 - Paste the line beginning with "success" into the form provided.

If the file has not been successfully edited, an error message will result such as:

Traceback (most recent call last):
  File "./editThisCommand.py", line 11, in ?
    raise RuntimeError, "You need to comment out this line with a #"
RuntimeError: You need to comment out this line with a #

At Fermilab cmslpc one can use nobackup area linked from your home directory at cmslpc (nobackup -> /uscms_data/d2/YOURUSERNAME) for the exercises.

source /cvmfs/cms.cern.ch/cmsset_default.csh #or .sh for bash
cd ~/nobackup
mkdir YOURWORKINGAREA
cd YOURWORKINGAREA
### If you are using csh shell
setenv SCRAM_ARCH slc6_amd64_gcc481 
### If you are using Bash shell
export SCRAM_ARCH=slc6_amd64_gcc481 
cmsrel CMSSW_7_3_0_pre1
cd CMSSW_7_3_0_pre1/src
cmsenv
git cms-init

source /afs/cern.ch/user/n/ndefilip/public/logincmsdas.sh
cmscvsroot CMSSW
export SCRAM_ARCH=slc6_amd64_gcc481
scram p CMSSW CMSSW_7_3_0_pre1
cd CMSSW_7_3_0_pre1/src
cmsenv

source /cvmfs/cms.cern.ch/cmsset_default.sh (or .csh)
### If you are using csh shell
setenv SCRAM_ARCH slc6_amd64_gcc481 
### If you are using Bash shell
export SCRAM_ARCH=slc6_amd64_gcc481 
cmsrel CMSSW_7_3_0_pre1
cd CMSSW_7_3_0_pre1/src
cmsenv

source /afs/pi.infn.it/grid_exp_sw/cms/scripts/setcms.sh (or .csh)
cmscvsroot CMSSW
(once forever: mkdir -p /gpfs/gpfsddn/cms/user/`id`)
cd /gpfs/gpfsddn/cms/user/`id`mkdir YOURWORKINGAREA
cd YOURWORKINGAREA
setenv SCRAM_ARCH slc5_amd64_gcc462
scram p CMSSW CMSSW_5_3_11
cd CMSSW_5_3_11/src
cmsenv

source /home/cmsdas/env.csh
mkdir YOURWORKINGAREA
cd YOURWORKINGAREA
setenv SCRAM_ARCH slc5_amd64_gcc462
scram p CMSSW CMSSW_5_3_11
cd CMSSW_5_3_11/src
cmsenv

Exercise 3 - Setup a CMSSW release area like CMSSW_9_3_2

module use -a /afs/desy.de/group/cms/modulefiles/
module load cmssw
mkdir YOURWORKINGAREA
cd YOURWORKINGAREA
export SCRAM_ARCH=slc6_amd64_gcc493 
cmsrel CMSSW_7_6_0
cd CMSSW_7_6_0/src
## or for a release where gcc530 is needed
export SCRAM_ARCH=slc6_amd64_gcc530
cmsrel CMSSW_8_0_6
cd CMSSW_8_0_6/src
#
cmsenv

CMSSW is the CMS SoftWare framework used in our collaboration to process and analyze data. In order to use it, you need to set up your environment and set up a local CMSSW release.

At Fermilab cmslpc-sl6 users have a 2GB home area at /uscms/homes/Y/YOURUSERNAME and a larger mass storage area called the nobackup area, which is linked from your home directory at cmslpc-sl6 (if do ls -alh |grep nobackup you will see something like nobackup -> /uscms_data/d3/YOURUSERNAME) for the exercises. In both of these cases YOURUSERNAME is a placeholder for your actual username (you can do whoami to see your actual username). You will first want to set up the proper environment by entering the following command.

source /cvmfs/cms.cern.ch/cmsset_default.csh #or .sh for bash

Actually you should edit your ~/.tcshrc file (or ~/.bash_profile if bash is your default shell), create it if you do not have one, to include the above command so that you do not have to execute each time you log into the cluster.

Then proceed with the creation of a working area (called YOURWORKINGAREA in the following):

cd ~/nobackup
mkdir YOURWORKINGAREA
cd YOURWORKINGAREA
### If you are using the default tcsh shell (or csh shell)
setenv SCRAM_ARCH slc6_amd64_gcc630 
### Alternatively, If you are using Bash shell 
export SCRAM_ARCH=slc6_amd64_gcc630
cmsrel CMSSW_9_3_2
cd CMSSW_9_3_2/src
cmsenv
git cms-init

This last command will take some time to execute and will produce some long output, be patient.

source /etc/profile.d/modules.sh
mkdir YOURWORKINGAREA
cd YOURWORKINGAREA
export SCRAM_ARCH=slc6_amd64_gcc493 
cmsrel CMSSW_7_6_0
cd CMSSW_7_6_0/src
## or for a release where gcc530 is needed
export SCRAM_ARCH=slc6_amd64_gcc530
cmsrel CMSSW_8_0_6
cd CMSSW_8_0_6/src
#
cmsenv

When you get the prompt again, run the following command:

echo $CMSSW_BASE

QUESTION 3 - Paste the result of executing the above command in the form

Note: The directory (on cmslpc-sl6) ~/nobackup/YOURWORKINGAREA/CMSSW_9_3_2/src is referred to as your WORKING DIRECTORY.

Every time you log out or exit a session you will need to setup your environment in your working directory again. To do so, once you have executed once the steps above (assuming you have added the source /cvmfs/cms.cern.ch/cmsset_default.csh #or .sh for bash in your ~/.tcshrc or ~/.bash_profile file), you simply:

cd ~/nobackup/YOURWORKINGAREA/CMSSW_9_3_2/src
cmsenv

And you are ready to go!

Exercise 4 - Find data in the DAS ( Data Aggregation Service)

In this exercise we will locate the MC dataset RelValZMM and the collision dataset /DoubleMuon/Run2017C-PromptReco-v3/MINIAOD using the Data Aggregation Service (not to be confused with the Data Analysis School in which you are partaking!). Also be aware that DAS is an improved database access service known many years ago as DBS (Dataset Bookkeeping System).

Go to the url DAS, NOTE that you will be asked for your Grid certificate which you should have loaded into your browser by now, (also note that there may be a security warning message, which you will need to ignore and still load the page) and type in the space provided:

dataset release=CMSSW_9_3_0_pre5 dataset=/RelValZMM*/*CMSSW_9_3_0*/MINIAOD*

This will search for datasets, processed with release CMSSW_9_3_0_pre5, which is named like /RelValZMM*/*CMSSW_9_3_0*/MINIAOD*. The syntax for searches is found here, with many useful common search patterns under "CMS Queries".

For this query, several results should be displayed (you may be queried for security exceptionss in the process). Select (click) on the dataset name /RelValZMM_13/CMSSW_9_3_0_pre5-93X_mc2017_realistic_v2-v1/MINIAODSIM and after a few seconds another page will appear.

QUESTION 4.1a - What is the size of this dataset?

QUESTION 4.1b Click on "Sites" to get a list of sites hosting this data. Is this data at FNAL? Is this data at DESY?

Back in the main dataset page, click on the link "Files" to get a list of the root files in our selected dataset. One of the files it contains should look like this:

       
/store/relval/CMSSW_9_3_0_pre5/RelValZMM_13/MINIAODSIM/93X_mc2017_realistic_v2-v1/00000/96FBB6F5-0E92-E711-841B-0025905B85C0.root

If you want to know the name of the dataset from the name of a file, one can go to DAS and type

dataset file=/store/relval/CMSSW_9_3_0_pre5/RelValZMM_13/MINIAODSIM/93X_mc2017_realistic_v2-v1/00000/96FBB6F5-0E92-E711-841B-0025905B85C0.root

in the command line and hit "Enter".

Now we will locate a collisions dataset skim using the keyword search which is sometimes more convenient if you know the dataset you are looking for.

In DAS, type

dataset=/DoubleMu*/*Run2017C*/MINIAOD*

and hit Enter. Answer the following question:

QUESTION 4.2 - What release was the dataset containing 12Sep2017 collected in? (If you see more than one release, just answer one)

Having set your CMSSW environment one can also search for the dataset /DoubleMuon/Run2017C-PromptReco-v3/MINIAOD by invoking the DAS command in your WORKING DIRECTORY. The DAS commands das_client.py and dasgoclient are in the path for CMSSW_9 versions and above, so you do not need to download anything additional. More about das_client.py can be found here.

The query we're interested in is: /DoubleMuon/Run2017C-PromptReco-v3/MINIAOD, see the commands below on how to execute it command-line. This assumes that you have installed your CERN grid certificate on cmslpc-sl6, if not, follow Step 5 to install.

NOTE: For cmslpc-sl6 at the LPC at Fermilab you will need to init your Grid proxy beforehand:

voms-proxy-init --voms cms

(You will be asked for your grid certificate passphrase). Then you can execute the query with:

das_client.py --query="dataset=/DoubleMuon*/Run2017C-PromptReco-v3/MINIAOD" --format=plain

You will see something like

das_client.py --query="dataset=/DoubleMuon*/Run2017C-PromptReco-v3/MINIAOD" --format=plain

Showing 1-10 out of 2 results, for more results use --idx/--limit options

/DoubleMuon/Run2017C-PromptReco-v3/MINIAOD
/DoubleMuonLowMass/Run2017C-PromptReco-v3/MINIAOD

More information about accessing data in the Data Aggregation Service can be found in WorkBookDataSamples

Exercise 5 - EDM ( Event Data Model framework) standalone utilities -

edmFileUtil, edmDumpEventContent, edmProvDump, edmEventSize

Make sure CMSSW has been set up as in Exercise 3.

The overall collection of CMS software, referred to as CMSSW, is built around a Framework, an Event Data Model (EDM), and Services needed by the simulation, calibration and alignment, and reconstruction modules that process event data so that physicists can perform analysis. The primary goal of the Framework and EDM is to facilitate the development and deployment of reconstruction and analysis software. The CMS Event Data Model (EDM) is centered around the concept of an Event. An Event is a C++ object container for all RAW and reconstructed data related to a particular collision.To understand what is in a data file and more, several EDM utilities are available. In this exercise, one will use three of these EDM utilities. They will be very useful at CMSDAS and after. More about these EDM utilities can be found at WorkBookEdmUtilities. These together with the Github web interface for CMSSW and the CMS LXR Cross Referencer are very useful to understand and write CMS code.

edmFileUtil

First we will use the edmFileUtil to find the physical file name (PFN) where the file is actually stored at your site, given the logical file name (LFN) which is an alias that can be used in CMSSW at any site.

  • Use edmFileUtil to find the physical file name (PFN) corresponding to the logical file name (LFN) from a MiniAOD file.
    • To do this execute
      edmFileUtil -d /store/relval/CMSSW_9_3_0_pre5/RelValZMM_13/MINIAODSIM/93X_mc2017_realistic_v2-v1/00000/96FBB6F5-0E92-E711-841B-0025905B85C0.root
    • Since you are working on cmslpc-sl6 this will return:
       
            root://cmsxrootd-site.fnal.gov//store/relval/CMSSW_9_3_0_pre5/RelValZMM_13/MINIAODSIM/93X_mc2017_realistic_v2-v1/00000/96FBB6F5-0E92-E711-841B-0025905B85C0.root
            

edmDumpEventContent

Next we will use edmDumpEventContent to dump a summary of the products that are contained within the file we're interested in, on cmslpc-sl6:

  • Use edmDumpEventContent to see what class names etc. to use in order to access the objects in the MiniAOD file. If you want to look at a specific object (say, slimmedMuons) then execute
       edmDumpEventContent --all --regex slimmedMuons root://cmsxrootd.fnal.gov//store/user/cmsdas/2018/pre_exercises/0EE14BA8-41BB-E611-AD2F-0CC47A4D760A.root
       
This will return:
 
Type                   Module           Label     Process        Full Name
--------------------------------------------------------------------------
vector<pat::Muon>      "slimmedMuons"   ""        "RECO"         patMuons_slimmedMuons__RECO

  • The output of edmDumpEventContent has information divided into four variable width columns. The first column is the C++ class type of the data, the second is module label, the third is product instance label and the fourth is process name. More information is available at Identifying Data in the Event.
    • QUESTION 5.1a - How many modules produce products of type vector ? * QUESTION 5.1b - What are the names of three of the modules that produce products of type vector?
    • NOTE: Instead of the above, try without the option --regex slimmedMuons . This will dump the entire event content - a file with many lines. For this reason we'll send the output to a file called EdmDumpEventContent.txt with a UNIX pipe command.
  • To do this at the LPC, execute
     edmDumpEventContent root://cmsxrootd.fnal.gov//store/user/cmsdas/2018/pre_exercises/0EE14BA8-41BB-E611-AD2F-0CC47A4D760A.root > EdmDumpEventContent.txt

edmProvDump

To aid in understanding the full history of an analysis, the framework accumulates provenance for all data stored in the standard ROOT output files. Using the command edmProvDump one can print out all the tracked parameters used to create the data file. For example, one can see which modules were run and the CMSSW version used to make the MiniAOD file. In executing the command below it is important to follow the instructions carefully, otherwise a large number of warning messages may appear. The ROOT warning messages can be ignored.

  • To do this at the LPC
    edmProvDump root://cmsxrootd.fnal.gov//store/user/cmsdas/2018/pre_exercises/0EE14BA8-41BB-E611-AD2F-0CC47A4D760A.root > EdmProvDump.txt
  • NOTE: EdmProvDump.txt is a very large file of the order of 40000-60000 lines. Open and look at this file and locate Processing History ( about 20-40 lines from the top).
  • QUESTION 5.2 - Which version of CMSSW_?_?_? was used to produce the MiniAOD file?

edmEventSize

Finally we will execute edmEventSize to determine the size of different branches in the data file. Further details may be found here: SWGuideEdmEventSize. edmEventSize isn't actually a 'Core' helper function (anyone can slap 'edm' on the front of a program in CMSSW). You can use edmFileUtil to get a PFN from an LFN (as shown above) so you could combine the call

  • Execute at cmslpc-sl6:
     edmEventSize -v `edmFileUtil -d /store/user/cmsdas/2018/pre_exercises/0EE14BA8-41BB-E611-AD2F-0CC47A4D760A.root` > EdmEventSize.txt 
  • QUESTION 5.3 What is the number of events if you execute the command at cmslpc-sl6?
  • Open and look at file EdmEventSize.txt and locate the line containing the text patJets_slimmedJetsPuppi__RECO . There are two numbers following this text that measure the plain and the compressed size of this branch.
  • QUESTION 5.4 - What are these two numbers?
  • Exercise 6 - Familiar with MiniAOD Format

    Analyzing physics data at CMS is a very complicated task involving multiple steps, sharing of expertise, cross checks, and comparing different analysis. To maximize physics productivity, CMS developed a new high-level data tier MiniAOD in Spring 2014 to serve the needs of the mainstream physics analyses while keeping a small event size (30-50 kb/event), with easy access to the algorithms developed by Physics Objects Groups (POGs) in the framework of the CMSSW offline software. The production of MiniAODs will be done centrally for common samples. Its goal is to centralize the production of PAT tuple which were used among the Physics Analysis Groups (PAGs) in Run 1. (Information about PAT can be found in SWGuidePAT and in a CMS conference note.) MiniAOD samples will be used in the Run 2 analysis. Hence it is important to know about this tool. More information about MiniAOD can be found in WorkBookMiniAOD.

    The main contents of the MiniAOD are:

    • High level physics objects (leptons, photons, jets, ETmiss), with detailed information in order to allow e.g. retuning of identification criteria, saved using PAT dataformats.
      Some preselection requirements are applied on the objects, and objects failing these requirements are either not stored or stored only with a more limited set of information.
      Some high level corrections are applied: L1+L2+L3(+residual) corrections to jets, type1 corrections to ETmiss.
    • The full list of particles reconstructed by the ParticleFlow, though only storing the most basic quantities for each object (4-vector, impact parameter, pdg id, some quality flags), and with reduced numerical precision; these are useful to recompute isolation, or to perform jet substructure studies.
      For charged particles with pT > 0.9 GeV, more information about the associated track is saved, including the covariance matrix, so that they can be used for b-tagging purposes.
    • MC Truth information: a subset of the genParticles enough to describe the hard scattering process, jet flavour information, and final state leptons and photons; GenJets with pT > 8 GeV are also stored, and so are the other mc summary information (e.g event weight, LHE header, PDF, PU information).
      In addition, all the stable genParticles with mc status code 1 are also saved, to allow reclustering of GenJets with different algorithms and substructure studies.
    • Trigger information: MiniAOD contains the trigger bits associated to all paths, and all the trigger objects that have contributed to firing at least one filter within the trigger. In addition, we store all objects reconstructed at L1 and the L1 global trigger summary, and the prescale values of all the triggers.

    Please note that the files used in the following are from older releases, but they still illustrate the points they intended to. To avoid the fact that RelVal files (produced to validate new release in the rapid CMSSW development cycle) become unavailable on a short (month) timescale, a small set of files have been copied to the LPC EOS storage. They are available at root://cmseos.fnal.gov//store/user/cmsdas/2018/pre_exercises/.

    The Z to dimoun MC file root://cmseos.fnal.gov//store/user/cmsdas/2018/pre_exercises/CMSDataAnaSch_MiniAODZMM730pre1.root is made in CMSSW_7_3_0_pre1 release and the datafile root://cmseos.fnal.gov//store/user/cmsdas/2018/pre_exercises/CMSDataAnaSch_Data_706_MiniAOD.root made from the collisions dataskim /DoubleMu/CMSSW_7_0_6-GR_70_V2_AN1_RelVal_zMu2011A-v1/MINIAOD.

    In your working directory, try to open the root file root://cmseos.fnal.gov//store/user/cmsdas/2018/pre_exercises/CMSDataAnaSch_MiniAODZMM730pre1.root

    root -l 
    Note, if you already have a custom .rootrc or .rootlogon.C, you can start root without them with root -l -n

    On the ROOT prompt type the following:

    gSystem->Load("libFWCoreFWLite.so");
    FWLiteEnabler::enable();
    gSystem->Load("libDataFormatsFWLite.so");
    gROOT->SetStyle ("Plain");
    gStyle->SetOptStat(111111);
    
    TFile *theFile = TFile::Open("root://cmseos.fnal.gov//store/user/cmsdas/2018/pre_exercises/CMSDataAnaSch_MiniAODZMM730pre1.root");
    
    TBrowser b;
    

    Note: TBrowser is a graphical browser. It runs on the computer, where you started ROOT. Its graphical interface needs to be forwarded to your computer. This can be very slow. You either need a lot of patience, a good connection or you can try to run ROOT locally, copying the root files that are to be inspected. Since everyone is running a different operating system on their local computer, we do not support the setup of ROOT on your local computer. However, instructions exist on the official ROOT website.

    To be able to use the member functions of a CMSSW data class from within ROOT, a 'dictionary' for that class needs to be available to ROOT. To obtain that dictionary, it is necessary to load the proper library into ROOT. The first three lines of the code above do exactly that. More information is at WorkBookFWLiteExamples. Note that gROOT->SetStyle ("Plain"); sets a plain white background for all the plots in ROOT.

    NOTE: If the rootlogon.C is created in the home area, and the above four lines of code are in that file, the dictionary will be obtained, and all the plots will have a white background automatically upon logging in to ROOT.

    Now a ROOT browser window opens and looks like this ("Root Files" may or may not be selected):

    MiniAOD_View1.png

    In this window click on ROOT Files on the left menu and now the window looks like this:

    MiniAOD_View2.png

    Double-click on the root file you opened: root://cmseos.fnal.gov//store/user/cmsdas/2018/pre_exercises/CMSDataAnaSch_MiniAODZMM730pre1.root, then Events, then scroll down and click patMuons_slimmedMuons__PAT (or the little + that appears next to it) and then patMuons_slimmedMuons__PAT.obj. A window appears that looks like this:

    MiniAOD_View3.png

    Scroll a long way down the file (not too fast) and click on pt(). A PAT Muon Pt distribution will appear. These muons have been produced in the Z to mumu interactions as the name of the data sample implies.

    MiniAOD_View4.png


    QUESTION 6.1 - What is the mean value of the muon pt() for the MC data?


    Note: To exit ROOT simply type .q in the command line.

    Now open the data file root://cmseos.fnal.gov//store/user/cmsdas/2018/pre_exercises/CMSDataAnaSch_Data_706_MiniAOD.root. Similarly run the following command, and answer the following question:

     root -l 

    On the ROOT prompt type the following:

    gSystem->Load("libFWCoreFWLite.so");
    FWLiteEnabler::enable();
    gSystem->Load("libDataFormatsFWLite.so");
    gROOT->SetStyle ("Plain");
    gStyle->SetOptStat(111111);
    TBrowser b;
    
    
    TFile *theFile = TFile::Open("root://cmseos.fnal.gov//store/user/cmsdas/2018/pre_exercises/CMSDataAnaSch_Data_706_MiniAOD.root");
    
    
    

    QUESTION 6.2 - What is the mean value of the muon pt() for the collision data?

    Be sure to submit your answers to the Google Form first set, then proceed to the second set. Links to all exercises below:

    Link to NcpSlpExerciseSecondSet

    Link to NcpSlpExerciseThirldSet

    Link to NcpSlpExerciseFourthSet

    Link to NcpSlpExerciseFifthSet

    Link to NcpSlpExerciseSixthSet

    -- MuhammadAhmad - 2018-05-19

    -- MuhammadAhmad - 2018-07-20

    -- MuhammadAhmad - 2018-07-20

    Edit | Attach | Watch | Print version | History: r1 | Backlinks | Raw View | WYSIWYG | More topic actions
    Topic revision: r1 - 2018-07-20 - MuhammadAhmad
     
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