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R 语言 Linux 情况 安装 说明

2017-12-04 08:00 星期一 所属: 其他教程 浏览:779

一. 用YUM办理依赖包问题


R 下载地点:


http://www.r-project.org/


Linux 下的R 安装需要如下rpm包:


[root@rac1 linux_rpm]# ls


libRmath-2.10.0-2.el5.x86_64.rpm R-core-2.10.0-2.el5.x86_64.rpm


libRmath-devel-2.10.0-2.el5.x86_64.rpm R-devel-2.10.0-2.el5.x86_64.rpm


R-2.10.0-2.el5.x86_64.rpm


[root@rac1 linux_rpm]# ll


total 32086


-rwxr-xr-x. 1 root root 104394 Mar 4 12:18 libRmath-2.10.0-2.el5.x86_64.rpm


-rwxr-xr-x. 1 root root 151494 Mar 4 12:18 libRmath-devel-2.10.0-2.el5.x86_64.rpm


-rwxr-xr-x. 1 root root 14688 Mar 4 12:18 R-2.10.0-2.el5.x86_64.rpm


-rwxr-xr-x. 1 root root 32495231 Mar 4 12:30 R-core-2.10.0-2.el5.x86_64.rpm


-rwxr-xr-x. 1 root root 88663 Mar 4 12:18 R-devel-2.10.0-2.el5.x86_64.rpm


可是安装这些包会牵涉到许多依赖的包,我们可以利用YUM 来办理这个问题,yum的设置参考:


Linux 利用光盘搭建 当地 YUM 处事器 http://www.linuxidc.com/Linux/2012-02/55466.htm


用YUM 办理依赖包:


[root@rac1 linux_rpm]# yum install pcre-devel


Loaded plugins: refresh-packagekit


Setting up Install Process


Resolving Dependencies


–> Running transaction check


—> Package pcre-devel.x86_640:7.8-3.1.el6 will be installed


–> Finished Dependency Resolution



Dependencies Resolved



====================================================================================================


Package Arch Version Repository Size


====================================================================================================


Installing:


pcre-devel x86_64 7.8-3.1.el6 dave 317 k



Transaction Summary


====================================================================================================


Install 1 Package(s)



Total download size: 317 k


Installed size: 954 k


Is this ok [y/N]: y


Downloading Packages:


Running rpm_check_debug


Running Transaction Test


Transaction Test Succeeded


Running Transaction


Warning: RPMDB altered outside of yum.


Installing : pcre-devel-7.8-3.1.el6.x86_64 1/1



Installed:


pcre-devel.x86_64 0:7.8-3.1.el6



Complete!


[root@rac1 linux_rpm]# yum install tcl-devel


Loaded plugins: refresh-packagekit


Setting up Install Process


Resolving Dependencies


–> Running transaction check


—> Package tcl-devel.x86_641:8.5.7-6.el6 will be installed


–> Processing Dependency: tcl =1:8.5.7-6.el6 for package: 1:tcl-devel-8.5.7-6.el6.x86_64


–> Processing Dependency:libtcl8.5.so()(64bit) for package: 1:tcl-devel-8.5.7-6.el6.x86_64


–> Running transaction check


—> Package tcl.x86_64 1:8.5.7-6.el6will be installed


–> Finished Dependency Resolution



Dependencies Resolved



====================================================================================================


Package Arch Version Repository Size


====================================================================================================


Installing:


tcl-devel x86_64 1:8.5.7-6.el6 dave 161 k


Installing for dependencies:


tcl x86_64 1:8.5.7-6.el6 dave 1.9 M



Transaction Summary


====================================================================================================


Install 2 Package(s)



Total download size: 2.1 M


Installed size: 5.1 M


Is this ok [y/N]: y


Downloading Packages:


—————————————————————————————————-


Total 16 MB/s | 2.1 MB 00:00


Running rpm_check_debug


Running Transaction Test


Transaction Test Succeeded


Running Transaction


Installing : 1:tcl-8.5.7-6.el6.x86_64 1/2


Installing : 1:tcl-devel-8.5.7-6.el6.x86_64 2/2



Installed:


tcl-devel.x86_64 1:8.5.7-6.el6



Dependency Installed:


tcl.x86_64 1:8.5.7-6.el6



Complete!


You have new mail in /var/spool/mail/root


[root@rac1 linux_rpm]# yum install zlib-devel


Loaded plugins: refresh-packagekit


Setting up Install Process


Resolving Dependencies


–> Running transaction check


—> Package zlib-devel.x86_640:1.2.3-25.el6 will be installed


–> Finished Dependency Resolution



Dependencies Resolved



====================================================================================================


Package Arch Version Repository Size


====================================================================================================


Installing:


zlib-devel x86_64 1.2.3-25.el6 dave 43 k



Transaction Summary


====================================================================================================


Install 1 Package(s)



Total download size: 43 k


Installed size: 115 k


Is this ok [y/N]: y


Downloading Packages:


Running rpm_check_debug


Running Transaction Test


Transaction Test Succeeded


Running Transaction


Installing : zlib-devel-1.2.3-25.el6.x86_64 1/1



Installed:


zlib-devel.x86_64 0:1.2.3-25.el6



Complete!


[root@rac1 linux_rpm]# yum install bzip2-devel


Loaded plugins: refresh-packagekit


Setting up Install Process


Resolving Dependencies


–> Running transaction check


—> Package bzip2-devel.x86_640:1.0.5-7.el6_0 will be installed


–> Finished Dependency Resolution



Dependencies Resolved



====================================================================================================


Package Arch Version Repository Size


====================================================================================================


Installing:


bzip2-devel x86_64 1.0.5-7.el6_0 dave 250 k



Transaction Summary


====================================================================================================


Install 1 Package(s)



Total download size: 250 k


Installed size: 412 k


Is this ok [y/N]: y


Downloading Packages:


Running rpm_check_debug


Running Transaction Test


Transaction Test Succeeded


Running Transaction


Installing : bzip2-devel-1.0.5-7.el6_0.x86_64 1/1



Installed:


bzip2-devel.x86_640:1.0.5-7.el6_0



Complete!


[root@rac1 linux_rpm]# yum install libX11-devel


Loaded plugins: refresh-packagekit


Setting up Install Process


Resolving Dependencies


–> Running transaction check


—> Package libX11-devel.x86_640:1.3-2.el6 will be installed


–> Processing Dependency:pkgconfig(xcb) >= 1.1.92 for package: libX11-devel-1.3-2.el6.x86_64


–> Processing Dependency: libXau-develfor package: libX11-devel-1.3-2.el6.x86_64


–> Processing Dependency:pkgconfig(kbproto) for package: libX11-devel-1.3-2.el6.x86_64


–> Processing Dependency:pkgconfig(xcb) for package: libX11-devel-1.3-2.el6.x86_64


–> Processing Dependency:libXdmcp-devel for package: libX11-devel-1.3-2.el6.x86_64


–> Processing Dependency:pkgconfig(xproto) for package: libX11-devel-1.3-2.el6.x86_64


–> Running transaction check


—> Package libXau-devel.x86_640:1.0.5-1.el6 will be installed


—> Package libXdmcp-devel.x86_640:1.0.3-1.el6 will be installed


—> Package libxcb-devel.x86_640:1.5-1.el6 will be installed


—> Package xorg-x11-proto-devel.noarch0:7.4-35.el6 will be installed


–> Finished Dependency Resolution



Dependencies Resolved



====================================================================================================


Package Arch Version Repository Size


====================================================================================================


Installing:


libX11-devel x86_64 1.3-2.el6 dave 1.0 M


Installing for dependencies:


libXau-devel x86_64 1.0.5-1.el6 dave 13 k


libXdmcp-devel x86_64 1.0.3-1.el6 dave 9.1 k


libxcb-devel x86_64 1.5-1.el6 dave 138 k


xorg-x11-proto-devel noarch 7.4-35.el6 dave 249 k



Transaction Summary


====================================================================================================


Install 5 Package(s)



Total download size: 1.4 M


Installed size: 4.5 M


Is this ok [y/N]: y


Downloading Packages:


—————————————————————————————————-


Total 10 MB/s | 1.4 MB 00:00


Running rpm_check_debug


Running Transaction Test


Transaction Test Succeeded


Running Transaction


Installing : xorg-x11-proto-devel-7.4-35.el6.noarch 1/5


Installing : libXau-devel-1.0.5-1.el6.x86_64 2/5


Installing : libxcb-devel-1.5-1.el6.x86_64 3/5


Installing : libXdmcp-devel-1.0.3-1.el6.x86_64 4/5


Installing : libX11-devel-1.3-2.el6.x86_64 5/5



Installed:


libX11-devel.x86_64 0:1.3-2.el6



Dependency Installed:


libXau-devel.x86_64 0:1.0.5-1.el6 libXdmcp-devel.x86_640:1.0.3-1.el6


libxcb-devel.x86_64 0:1.5-1.el6 xorg-x11-proto-devel.noarch0:7.4-35.el6



Complete!


You have new mail in /var/spool/mail/root



[root@rac1 linux_rpm]# yum install tk-devel


Loaded plugins: refresh-packagekit


Setting up Install Process


Resolving Dependencies


–> Running transaction check


—> Package tk-devel.x86_641:8.5.7-5.el6 will be installed


–> Processing Dependency: tk =1:8.5.7-5.el6 for package: 1:tk-devel-8.5.7-5.el6.x86_64


–> Processing Dependency: libXft-develfor package: 1:tk-devel-8.5.7-5.el6.x86_64


–> Processing Dependency:libtk8.5.so()(64bit) for package: 1:tk-devel-8.5.7-5.el6.x86_64


–> Running transaction check


—> Package libXft-devel.x86_640:2.1.13-4.1.el6 will be installed


–> Processing Dependency:fontconfig-devel >= 2.2-1 for package: libXft-devel-2.1.13-4.1.el6.x86_64


–> Processing Dependency:freetype-devel >= 2.1.9-2 for package: libXft-devel-2.1.13-4.1.el6.x86_64


–> Processing Dependency:pkgconfig(xrender) for package: libXft-devel-2.1.13-4.1.el6.x86_64


–> Processing Dependency:pkgconfig(freetype2) for package: libXft-devel-2.1.13-4.1.el6.x86_64


–> Processing Dependency:pkgconfig(fontconfig) for package: libXft-devel-2.1.13-4.1.el6.x86_64


–> Processing Dependency: libXrender-develfor package: libXft-devel-2.1.13-4.1.el6.x86_64


—> Package tk.x86_64 1:8.5.7-5.el6will be installed


–> Running transaction check


—> Package fontconfig-devel.x86_640:2.8.0-3.el6 will be installed


—> Package freetype-devel.x86_640:2.3.11-6.el6_0.2 will be installed


—> Package libXrender-devel.x86_640:0.9.5-1.el6 will be installed


–> Finished Dependency Resolution



Dependencies Resolved



====================================================================================================


Package Arch Version Repository Size


====================================================================================================


Installing:


tk-devel x86_64 1:8.5.7-5.el6 dave 496 k


Installing for dependencies:


fontconfig-devel x86_64 2.8.0-3.el6 dave 209 k


freetype-devel x86_64 2.3.11-6.el6_0.2 dave 362 k


libXft-devel x86_64 2.1.13-4.1.el6 dave 18 k


libXrender-devel x86_64 0.9.5-1.el6 dave 15 k


tk x86_64 1:8.5.7-5.el6 dave 1.4 M



Transaction Summary


====================================================================================================


Install 6 Package(s)



Total download size: 2.5 M


Installed size: 7.4 M


Is this ok [y/N]: y


Downloading Packages:


—————————————————————————————————-


Total 13 MB/s | 2.5 MB 00:00


Running rpm_check_debug


Running Transaction Test


Transaction Test Succeeded


Running Transaction


Installing : freetype-devel-2.3.11-6.el6_0.2.x86_64 1/6


Installing : fontconfig-devel-2.8.0-3.el6.x86_64 2/6


Installing : 1:tk-8.5.7-5.el6.x86_64 3/6


Installing : libXrender-devel-0.9.5-1.el6.x86_64 4/6


Installing : libXft-devel-2.1.13-4.1.el6.x86_64 5/6


Installing : 1:tk-devel-8.5.7-5.el6.x86_64 6/6



Installed:


tk-devel.x86_641:8.5.7-5.el6



Dependency Installed:


fontconfig-devel.x86_64 0:2.8.0-3.el6 freetype-devel.x86_640:2.3.11-6.el6_0.2


libXft-devel.x86_64 0:2.1.13-4.1.el6 libXrender-devel.x86_640:0.9.5-1.el6


tk.x86_64 1:8.5.7-5.el6



Complete!



[root@rac1 linux_rpm]# yum install tetex-latex


Loaded plugins: refresh-packagekit


Setting up Install Process


Resolving Dependencies


–> Running transaction check


—> Package texlive-latex.x86_640:2007-56.el6 will be installed


–> Processing Dependency: texlive-dvips= 2007-56.el6 for package: texlive-latex-2007-56.el6.x86_64


–> Processing Dependency: texlive-texmf-errata= 2007 for package: texlive-latex-2007-56.el6.x86_64


–> Processing Dependency: texlive =2007-56.el6 for package: texlive-latex-2007-56.el6.x86_64


–> Processing Dependency: texlive-utils= 2007-56.el6 for package: texlive-latex-2007-56.el6.x86_64


–> Processing Dependency:texlive-texmf-latex = 2007 for package: texlive-latex-2007-56.el6.x86_64


–> Processing Dependency:/usr/bin/fmtutil-sys for package: texlive-latex-2007-56.el6.x86_64


–> Processing Dependency:/usr/bin/fmtutil for package: texlive-latex-2007-56.el6.x86_64


–> Processing Dependency: netpbm-progsfor package: texlive-latex-2007-56.el6.x86_64


–> Processing Dependency:/usr/bin/texconfig-sys for package: texlive-latex-2007-56.el6.x86_64


–> Running transaction check


—> Package netpbm-progs.x86_640:10.47.05-11.el6 will be installed


–> Processing Dependency: netpbm =10.47.05-11.el6 for package: netpbm-progs-10.47.05-11.el6.x86_64


–> Processing Dependency:libnetpbm.so.10()(64bit) for package: netpbm-progs-10.47.05-11.el6.x86_64


—> Package texlive.x86_640:2007-56.el6 will be installed


–> Processing Dependency:texlive-texmf-fonts = 2007 for package: texlive-2007-56.el6.x86_64


–> Processing Dependency: texlive-texmf= 2007 for package: texlive-2007-56.el6.x86_64


–> Processing Dependency:libkpathsea.so.4()(64bit) for package: texlive-2007-56.el6.x86_64


—> Package texlive-dvips.x86_640:2007-56.el6 will be installed


–> Processing Dependency:texlive-texmf-dvips = 2007 for package: texlive-dvips-2007-56.el6.x86_64


–> Processing Dependency: psutils forpackage: texlive-dvips-2007-56.el6.x86_64


—> Package texlive-texmf-errata.noarch0:2007-7.1.el6 will be installed


—> Package texlive-texmf-latex.noarch0:2007-35.el6 will be installed


–> Processing Dependency:texlive-texmf-errata-latex = 2007 for package:texlive-texmf-latex-2007-35.el6.noarch


–> Processing Dependency: tex-previewfor package: texlive-texmf-latex-2007-35.el6.noarch


—> Package texlive-utils.x86_640:2007-56.el6 will be installed


–> Running transaction check


—> Package kpathsea.x86_640:2007-56.el6 will be installed


—> Package netpbm.x86_640:10.47.05-11.el6 will be installed


—> Package psutils.x86_640:1.17-34.el6 will be installed


—> Package tex-preview.noarch 0:11.85-10.el6will be installed


—> Package texlive-texmf.noarch0:2007-35.el6 will be installed


—> Package texlive-texmf-dvips.noarch0:2007-35.el6 will be installed


–> Processing Dependency:texlive-texmf-errata-dvips = 2007 for package: texlive-texmf-dvips-2007-35.el6.noarch


—> Packagetexlive-texmf-errata-latex.noarch 0:2007-7.1.el6 will be installed


—> Package texlive-texmf-fonts.noarch0:2007-35.el6 will be installed


–> Processing Dependency:texlive-texmf-errata-fonts = 2007 for package: texlive-texmf-fonts-2007-35.el6.noarch


–> Running transaction check


—> Packagetexlive-texmf-errata-dvips.noarch 0:2007-7.1.el6 will be installed


—> Packagetexlive-texmf-errata-fonts.noarch 0:2007-7.1.el6 will be installed


–> Finished Dependency Resolution



Dependencies Resolved



====================================================================================================


Package Arch Version Repository Size


====================================================================================================


Installing:


texlive-latex x86_64 2007-56.el6 dave 82 k


Installing for dependencies:


kpathsea x86_64 2007-56.el6 dave 117 k


netpbm x86_64 10.47.05-11.el6 dave 802 k


netpbm-progs x86_64 10.47.05-11.el6 dave 1.7 M


psutils x86_64 1.17-34.el6 dave 46 k


tex-preview noarch 11.85-10.el6 dave 49 k


texlive x86_64 2007-56.el6 dave 1.8 M


texlive-dvips x86_64 2007-56.el6 dave 193 k


texlive-texmf noarch 2007-35.el6 dave 2.8 M


texlive-texmf-dvips noarch 2007-35.el6 dave 237 k


texlive-texmf-errata noarch 2007-7.1.el6 dave 4.8 k


texlive-texmf-errata-dvips noarch 2007-7.1.el6 dave 4.8 k


texlive-texmf-errata-fonts noarch 2007-7.1.el6 dave 5.0 k


texlive-texmf-errata-latex noarch 2007-7.1.el6 dave 4.9 k


texlive-texmf-fonts noarch 2007-35.el6 dave 48 M


texlive-texmf-latex noarch 2007-35.el6 dave 5.3 M


texlive-utils x86_64 2007-56.el6 dave 253 k



Transaction Summary


====================================================================================================


Install 17 Package(s)



Total download size: 62 M


Installed size: 162 M


Is this ok [y/N]: y


Downloading Packages:


—————————————————————————————————-


Total 38 MB/s | 62 MB 00:01


Running rpm_check_debug


Running Transaction Test


Transaction Test Succeeded


Running Transaction


Installing : texlive-texmf-errata-2007-7.1.el6.noarch 1/17


Installing : texlive-texmf-2007-35.el6.noarch 2/17


Installing : kpathsea-2007-56.el6.x86_64 3/17


Installing : texlive-texmf-errata-fonts-2007-7.1.el6.noarch 4/17


Installing : netpbm-10.47.05-11.el6.x86_64 5/17


Installing : netpbm-progs-10.47.05-11.el6.x86_64 6/17


Installing : texlive-texmf-errata-dvips-2007-7.1.el6.noarch 7/17


Installing : texlive-texmf-dvips-2007-35.el6.noarch 8/17


Installing : texlive-texmf-fonts-2007-35.el6.noarch 9/17


Installing : texlive-2007-56.el6.x86_64 10/17


Installing : texlive-texmf-errata-latex-2007-7.1.el6.noarch 11/17


Installing : psutils-1.17-34.el6.x86_64 12/17


Installing : texlive-dvips-2007-56.el6.x86_64 13/17


Installing : texlive-utils-2007-56.el6.x86_64 14/17


Installing : texlive-texmf-latex-2007-35.el6.noarch 15/17


Installing : texlive-latex-2007-56.el6.x86_64 16/17


Installing : tex-preview-11.85-10.el6.noarch 17/17



Installed:


texlive-latex.x86_64 0:2007-56.el6



Dependency Installed:


kpathsea.x86_64 0:2007-56.el6 netpbm.x86_640:10.47.05-11.el6


netpbm-progs.x86_640:10.47.05-11.el6 psutils.x86_64 0:1.17-34.el6


tex-preview.noarch 0:11.85-10.el6 texlive.x86_640:2007-56.el6


texlive-dvips.x86_64 0:2007-56.el6 texlive-texmf.noarch0:2007-35.el6


texlive-texmf-dvips.noarch 0:2007-35.el6 texlive-texmf-errata.noarch0:2007-7.1.el6


texlive-texmf-errata-dvips.noarch 0:2007-7.1.el6texlive-texmf-errata-fonts.noarch 0:2007-7.1.el6


texlive-texmf-errata-latex.noarch 0:2007-7.1.el6texlive-texmf-fonts.noarch 0:2007-35.el6


texlive-texmf-latex.noarch 0:2007-35.el6 texlive-utils.x86_640:2007-56.el6



Complete!


You have new mail in /var/spool/mail/root


[root@rac1 linux_rpm]#


二.开始安装R
 
2.1 安装llibRmath包
 
这2个包没什么依赖,好安装
 
[root@rac1 linux_rpm]# rpm -ivhlibRmath-2.10.0-2.el5.x86_64.rpm


 


 


 



warning: libRmath-2.10.0-2.el5.x86_64.rpm:Header V3 DSA/SHA1 Signature, key ID 97d3544e: NOKEY
 
Preparing…                ###########################################[100%]
 
  1:libRmath              ########################################### [100%]
 
[root@rac1 linux_rpm]# rpm -ivhlibRmath-devel-2.10.0-2.el5.x86_64.rpm


warning:libRmath-devel-2.10.0-2.el5.x86_64.rpm: Header V3 DSA/SHA1 Signature, key ID97d3544e: NOKEY
 
Preparing…               ########################################### [100%]
 
  1:libRmath-devel        ########################################### [100%]
 
[root@rac1 linux_rpm]#
 
 
 
2.2 安装R-core,这个要先安装:
 
[root@rac1 linux_rpm]# rpm -Uvh R-core-2.10.0-2.el5.x86_64.rpm


warning: R-core-2.10.0-2.el5.x86_64.rpm:Header V3 DSA/SHA1 Signature, key ID 97d3544e: NOKEY
 
error: Failed dependencies:
 
       libtcl8.4.so()(64bit) is needed by R-core-2.10.0-2.el5.x86_64
 
       libtk8.4.so()(64bit) is needed by R-core-2.10.0-2.el5.x86_64
 
       perl(File::Copy::Recursive) is needed by R-core-2.10.0-2.el5.x86_64
 
–这里安装报错,说要8.4 的tcl 包,实际我们已经通过yum安装了8.5的,所以这里我们可以强制安装。
 
 
 
[root@rac1 linux_rpm]# rpm -qa|grep tcl
 
tcl-devel-8.5.7-6.el6.x86_64
 
tcl-8.5.7-6.el6.x86_64
 
 
 
强制安装R-core:
 
[root@rac1 linux_rpm]# rpm -Uvh R-core-2.10.0-2.el5.x86_64.rpm –force –nodeps
 
warning: R-core-2.10.0-2.el5.x86_64.rpm:Header V3 DSA/SHA1 Signature, key ID 97d3544e: NOKEY
 
Preparing…                ###########################################[100%]
 
  1:R-core                ########################################### [100%]
 
 
 
2.3 安装R-devel
 
[root@rac1 linux_rpm]# rpm -ivh R-devel-2.10.0-2.el5.x86_64.rpm


warning: R-devel-2.10.0-2.el5.x86_64.rpm:Header V3 DSA/SHA1 Signature, key ID 97d3544e: NOKEY
 
Preparing…               ########################################### [100%]
 
  1:R-devel               ########################################### [100%]
 
 
 
2.4 最后安装R
 
[root@rac1 linux_rpm]# rpm -ivh R-2.10.0-2.el5.x86_64.rpm


warning: R-2.10.0-2.el5.x86_64.rpm: HeaderV3 DSA/SHA1 Signature, key ID 97d3544e: NOKEY
 
Preparing…               ########################################### [100%]
 
  1:R                     ########################################### [100%]
 
You have new mail in /var/spool/mail/root
 
[root@rac1 linux_rpm]#
 
 
 
至此,R 情况安装完毕。
 
 
 
三.测试
 
 
 
继承Windows 下的测试用例:
 
 
 
[root@rac1 ~]# xhost +
 
access control disabled, clients canconnect from any host
 
 
 
[root@rac1 ~]# R
 
 
 
R version 2.10.0 (2009-10-26)
 
Copyright (C) 2009 The R Foundation forStatistical Computing
 
ISBN 3-900051-07-0
 
 
 
R is free software and comes withABSOLUTELY NO WARRANTY.
 
You are welcome to Redistribute it undercertain conditions.
 
Type ‘license()’ or ‘licence()’ fordistribution details.
 
 
 
 Natural language support but running in an English locale
 
 
 
R is a collaborative project with manycontributors.
 
Type ‘contributors()’ for more informationand
 
‘citation()’ on how to cite R or R packagesin publications.
 
 
 
Type ‘demo()’ for some demos, ‘help()’ foron-line help, or
 
‘help.start()’ for an HTML browserinterface to help.
 
Type ‘q()’ to quit R.
 
 
 
>vol=trees[[“Girth”]]^2*trees[[“Height”]]/(4*pi)
 
> hist(vol,col=1)
 
>
 
 
 
然后弹出窗口:
 
 


 

 

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