From 5649ee29f2e8a92d3dc1bc4836281b389d4ed4fd Mon Sep 17 00:00:00 2001 From: caes Date: Fri, 13 Jan 2017 03:30:24 -0500 Subject: [PATCH] error analysis stuff --- ...lysis in Experimental Physical Science.pdf | Bin Error Analysis/Practice | 5 ++++ Error Analysis/error propagation | 22 ++++++++++++++++++ error_analysis | 5 ---- 4 files changed, 27 insertions(+), 5 deletions(-) rename Error Analysis in Experimental Physical Science.pdf => Error Analysis/Error Analysis in Experimental Physical Science.pdf (100%) create mode 100644 Error Analysis/Practice create mode 100644 Error Analysis/error propagation delete mode 100644 error_analysis diff --git a/Error Analysis in Experimental Physical Science.pdf b/Error Analysis/Error Analysis in Experimental Physical Science.pdf similarity index 100% rename from Error Analysis in Experimental Physical Science.pdf rename to Error Analysis/Error Analysis in Experimental Physical Science.pdf diff --git a/Error Analysis/Practice b/Error Analysis/Practice new file mode 100644 index 0000000..eb47a5a --- /dev/null +++ b/Error Analysis/Practice @@ -0,0 +1,5 @@ +1) a) 9 ± 2.24, 9 ± 24.9% + b) 1 ± 2.24, 1 ± 224% + c) 15 ± 2.24, 15 ± 14.9%; if c had no error, then it comes to ± 2.2360, so I would still round that to ± 2.24 + +2) 120 \ No newline at end of file diff --git a/Error Analysis/error propagation b/Error Analysis/error propagation new file mode 100644 index 0000000..fa08206 --- /dev/null +++ b/Error Analysis/error propagation @@ -0,0 +1,22 @@ +Z = X + Y OR Z = X - Y + _________ +ΔZ = √ΔX² + ΔY² + + +Z = X * Y OR Z = X / Y + __________________ +_ΔZ_ = / ⎛_ΔX_⎞² + ⎛_ΔY_⎞² + Z √ ⎝ X ⎠ ⎝ Y ⎠ + + +Z = Xⁿ + +ΔZ = n X⁽ⁿ⁻¹⁾ ΔX, i.e. _ΔZ_ = n _ΔX_ + Z X + + +Z = 𝑓(X,Y,...) + +ΔZ² = ⎛_∂f(X,Y)_ ΔX⎞² + ⎛_∂f(X,Y)_ ΔY⎞² + ... + ⎝ ∂X ⎠ ⎝ ∂Y ⎠ + diff --git a/error_analysis b/error_analysis deleted file mode 100644 index 0e97f5c..0000000 --- a/error_analysis +++ /dev/null @@ -1,5 +0,0 @@ -1) a) 9 ± 3, 9 ± 33% - b) 1 ± 3, 1 ± 300% - c) 15 ± 3.2, 15 ± 21.3%; if c had no error, then, 15 ± 3, 15 ± 20% - -2) \ No newline at end of file