[Desktop-packages] [Bug 1161670] Re: Order of operations is incorrect for exponents and parentheses
The gcalctool in Ubuntu 12.04 "Precise Pangolin" is a transitional package for the GNOME desktop calculator. In Ubuntu 14.04 "Trusty Tahr" and later, GNOME desktop calculator is called gnome-calculator. gnome- calculator 1:3.10.3-0ubuntu0.1.1 in Ubuntu 14.04 "Trusty Tahr" evaluates all of your examples as you expect it to. ** Changed in: gcalctool (Ubuntu) Status: New => Fix Released -- You received this bug notification because you are a member of Desktop Packages, which is subscribed to gcalctool in Ubuntu. https://bugs.launchpad.net/bugs/1161670 Title: Order of operations is incorrect for exponents and parentheses Status in gcalctool package in Ubuntu: Fix Released Bug description: When using both parenteses and exponents, the calculator does not always follow standard order of operations. Order of operations: 1) Parentheses - simplify anything possible within grouping symbols 2) Exponents - unless grouping symbols are used, only the number directly following the carat should be treated as an exponent. 3) Multiplication or Division - whichever occurs first when reading from left to right. Parentheses are a mathematically accepted way of representing multiplication. 4) Addition or Subtraction - whichever occurs first when reading from left to right. Ex: 3^2*7 yields 63, yet 3^2(7) yields 4782969. Both * and ( ) are acceptable mathematical tools for multiplication, so they should not give two different results. Ex: 25000(1.01)^20 gives an inaccurate answer. Order of operations is invalid. The calculator multiplies the 25000 by the 1.01 before utilizing the exponent. Exponents come before multiplying, and thus 1.01 should be raised to the 20th power before multiplying by 25000. Ex: 3^2pi should yield 9pi because exponents trump multiplication. However, the calculator treats this as 3^(2pi), and yields 995.041644893 ProblemType: Bug DistroRelease: Ubuntu 12.04 Package: gcalctool 6.4.1.1-0ubuntu3 ProcVersionSignature: Ubuntu 3.2.0-39.62-generic 3.2.39 Uname: Linux 3.2.0-39-generic x86_64 NonfreeKernelModules: openafs ApportVersion: 2.0.1-0ubuntu17.1 Architecture: amd64 Date: Thu Mar 28 19:57:12 2013 MarkForUpload: True ProcEnviron: LANGUAGE=en_US.UTF-8 PATH=(custom, no user) LANG=en_US.UTF-8 SHELL=/bin/bash SourcePackage: gcalctool UpgradeStatus: Upgraded to precise on 2012-12-23 (95 days ago) To manage notifications about this bug go to: https://bugs.launchpad.net/ubuntu/+source/gcalctool/+bug/1161670/+subscriptions -- Mailing list: https://launchpad.net/~desktop-packages Post to : desktop-packages@lists.launchpad.net Unsubscribe : https://launchpad.net/~desktop-packages More help : https://help.launchpad.net/ListHelp
[Desktop-packages] [Bug 1161670] Re: Order of operations is incorrect for exponents and parentheses
Upon further reading, it seems your third example is valid. One must use parentheses if the entire exponent is 2π, as in 3^(2pi), otherwise 3^2pi should evaluate to 9pi as you said. Also from the same further reading, using your second example, if not wanting to simply write/enter 25000*1.01^20 we should use (25000)(1.01)^20. -- You received this bug notification because you are a member of Desktop Packages, which is subscribed to gcalctool in Ubuntu. https://bugs.launchpad.net/bugs/1161670 Title: Order of operations is incorrect for exponents and parentheses Status in gcalctool package in Ubuntu: New Bug description: When using both parenteses and exponents, the calculator does not always follow standard order of operations. Order of operations: 1) Parentheses - simplify anything possible within grouping symbols 2) Exponents - unless grouping symbols are used, only the number directly following the carat should be treated as an exponent. 3) Multiplication or Division - whichever occurs first when reading from left to right. Parentheses are a mathematically accepted way of representing multiplication. 4) Addition or Subtraction - whichever occurs first when reading from left to right. Ex: 3^2*7 yields 63, yet 3^2(7) yields 4782969. Both * and ( ) are acceptable mathematical tools for multiplication, so they should not give two different results. Ex: 25000(1.01)^20 gives an inaccurate answer. Order of operations is invalid. The calculator multiplies the 25000 by the 1.01 before utilizing the exponent. Exponents come before multiplying, and thus 1.01 should be raised to the 20th power before multiplying by 25000. Ex: 3^2pi should yield 9pi because exponents trump multiplication. However, the calculator treats this as 3^(2pi), and yields 995.041644893 ProblemType: Bug DistroRelease: Ubuntu 12.04 Package: gcalctool 6.4.1.1-0ubuntu3 ProcVersionSignature: Ubuntu 3.2.0-39.62-generic 3.2.39 Uname: Linux 3.2.0-39-generic x86_64 NonfreeKernelModules: openafs ApportVersion: 2.0.1-0ubuntu17.1 Architecture: amd64 Date: Thu Mar 28 19:57:12 2013 MarkForUpload: True ProcEnviron: LANGUAGE=en_US.UTF-8 PATH=(custom, no user) LANG=en_US.UTF-8 SHELL=/bin/bash SourcePackage: gcalctool UpgradeStatus: Upgraded to precise on 2012-12-23 (95 days ago) To manage notifications about this bug go to: https://bugs.launchpad.net/ubuntu/+source/gcalctool/+bug/1161670/+subscriptions -- Mailing list: https://launchpad.net/~desktop-packages Post to : desktop-packages@lists.launchpad.net Unsubscribe : https://launchpad.net/~desktop-packages More help : https://help.launchpad.net/ListHelp
[Desktop-packages] [Bug 1161670] Re: Order of operations is incorrect for exponents and parentheses
AFAIK and IIRC, parentheses are not the equivalent of a multiplication symbol. It is simply mathematical conventiont to omit the multiplication symbol between two variables, between a constant and a variable, and between a constant or variable and an operator such as ( or Σ. Note that your first two examples are resolved if you stop using parentheses where they are unnecessary. The fundamental issue here is the ambiguity caused by a lack of superscript. I've attached an example of what I'm talking about. ** Attachment added: "math.docx" https://bugs.launchpad.net/ubuntu/+source/gcalctool/+bug/1161670/+attachment/4755032/+files/math.docx -- You received this bug notification because you are a member of Desktop Packages, which is subscribed to gcalctool in Ubuntu. https://bugs.launchpad.net/bugs/1161670 Title: Order of operations is incorrect for exponents and parentheses Status in gcalctool package in Ubuntu: New Bug description: When using both parenteses and exponents, the calculator does not always follow standard order of operations. Order of operations: 1) Parentheses - simplify anything possible within grouping symbols 2) Exponents - unless grouping symbols are used, only the number directly following the carat should be treated as an exponent. 3) Multiplication or Division - whichever occurs first when reading from left to right. Parentheses are a mathematically accepted way of representing multiplication. 4) Addition or Subtraction - whichever occurs first when reading from left to right. Ex: 3^2*7 yields 63, yet 3^2(7) yields 4782969. Both * and ( ) are acceptable mathematical tools for multiplication, so they should not give two different results. Ex: 25000(1.01)^20 gives an inaccurate answer. Order of operations is invalid. The calculator multiplies the 25000 by the 1.01 before utilizing the exponent. Exponents come before multiplying, and thus 1.01 should be raised to the 20th power before multiplying by 25000. Ex: 3^2pi should yield 9pi because exponents trump multiplication. However, the calculator treats this as 3^(2pi), and yields 995.041644893 ProblemType: Bug DistroRelease: Ubuntu 12.04 Package: gcalctool 6.4.1.1-0ubuntu3 ProcVersionSignature: Ubuntu 3.2.0-39.62-generic 3.2.39 Uname: Linux 3.2.0-39-generic x86_64 NonfreeKernelModules: openafs ApportVersion: 2.0.1-0ubuntu17.1 Architecture: amd64 Date: Thu Mar 28 19:57:12 2013 MarkForUpload: True ProcEnviron: LANGUAGE=en_US.UTF-8 PATH=(custom, no user) LANG=en_US.UTF-8 SHELL=/bin/bash SourcePackage: gcalctool UpgradeStatus: Upgraded to precise on 2012-12-23 (95 days ago) To manage notifications about this bug go to: https://bugs.launchpad.net/ubuntu/+source/gcalctool/+bug/1161670/+subscriptions -- Mailing list: https://launchpad.net/~desktop-packages Post to : desktop-packages@lists.launchpad.net Unsubscribe : https://launchpad.net/~desktop-packages More help : https://help.launchpad.net/ListHelp
[Desktop-packages] [Bug 1161670] Re: Order of operations is incorrect for exponents and parentheses
Also see the first, second and fourth paragraphs of https://math.berkeley.edu/~gbergman/misc/numbers/ord_ops.html -- You received this bug notification because you are a member of Desktop Packages, which is subscribed to gcalctool in Ubuntu. https://bugs.launchpad.net/bugs/1161670 Title: Order of operations is incorrect for exponents and parentheses Status in gcalctool package in Ubuntu: New Bug description: When using both parenteses and exponents, the calculator does not always follow standard order of operations. Order of operations: 1) Parentheses - simplify anything possible within grouping symbols 2) Exponents - unless grouping symbols are used, only the number directly following the carat should be treated as an exponent. 3) Multiplication or Division - whichever occurs first when reading from left to right. Parentheses are a mathematically accepted way of representing multiplication. 4) Addition or Subtraction - whichever occurs first when reading from left to right. Ex: 3^2*7 yields 63, yet 3^2(7) yields 4782969. Both * and ( ) are acceptable mathematical tools for multiplication, so they should not give two different results. Ex: 25000(1.01)^20 gives an inaccurate answer. Order of operations is invalid. The calculator multiplies the 25000 by the 1.01 before utilizing the exponent. Exponents come before multiplying, and thus 1.01 should be raised to the 20th power before multiplying by 25000. Ex: 3^2pi should yield 9pi because exponents trump multiplication. However, the calculator treats this as 3^(2pi), and yields 995.041644893 ProblemType: Bug DistroRelease: Ubuntu 12.04 Package: gcalctool 6.4.1.1-0ubuntu3 ProcVersionSignature: Ubuntu 3.2.0-39.62-generic 3.2.39 Uname: Linux 3.2.0-39-generic x86_64 NonfreeKernelModules: openafs ApportVersion: 2.0.1-0ubuntu17.1 Architecture: amd64 Date: Thu Mar 28 19:57:12 2013 MarkForUpload: True ProcEnviron: LANGUAGE=en_US.UTF-8 PATH=(custom, no user) LANG=en_US.UTF-8 SHELL=/bin/bash SourcePackage: gcalctool UpgradeStatus: Upgraded to precise on 2012-12-23 (95 days ago) To manage notifications about this bug go to: https://bugs.launchpad.net/ubuntu/+source/gcalctool/+bug/1161670/+subscriptions -- Mailing list: https://launchpad.net/~desktop-packages Post to : desktop-packages@lists.launchpad.net Unsubscribe : https://launchpad.net/~desktop-packages More help : https://help.launchpad.net/ListHelp
