Finding error in following difference table?
$begingroup$
I've been trying to solve a question on my book on finding error in the following difference table:
My teacher told me to expand the difference table until I find the proper Binomial coefficients, hence I've expanded the difference table to y5.
According to my solution, the error is originating from 6th entry of the table.
In the y5 column, I am using Binomial factors to find the error.
Error = Largest value in a column / Corresponding coefficient of ε in that column
Error = $.095/4 = 0.02375$
Since my teacher told me that the error will always be subtracted from orginal entry
Corrected Value = $ 0.589 - 0.02375 = 0.56525 $
but in my book, the answer is: $0.598$
Where am I missing?
numerical-methods finite-differences error-propagation
asked Dec 17 '16 at 14:21
HQuserHQuser
142212
$endgroup$
add a comment |
$begingroup$
I've been trying to solve a question on my book on finding error in the following difference table:
My teacher told me to expand the difference table until I find the proper Binomial coefficients, hence I've expanded the difference table to y5.
According to my solution, the error is originating from 6th entry of the table.
In the y5 column, I am using Binomial factors to find the error.
Error = Largest value in a column / Corresponding coefficient of ε in that column
Error = $.095/4 = 0.02375$
Since my teacher told me that the error will always be subtracted from orginal entry
Corrected Value = $ 0.589 - 0.02375 = 0.56525 $
but in my book, the answer is: $0.598$
Where am I missing?
numerical-methods finite-differences error-propagation
asked Dec 17 '16 at 14:21
HQuserHQuser
142212
$endgroup$
add a comment |
$begingroup$
I've been trying to solve a question on my book on finding error in the following difference table:
My teacher told me to expand the difference table until I find the proper Binomial coefficients, hence I've expanded the difference table to y5.
According to my solution, the error is originating from 6th entry of the table.
In the y5 column, I am using Binomial factors to find the error.
Error = Largest value in a column / Corresponding coefficient of ε in that column
Error = $.095/4 = 0.02375$
Since my teacher told me that the error will always be subtracted from orginal entry
Corrected Value = $ 0.589 - 0.02375 = 0.56525 $
but in my book, the answer is: $0.598$
Where am I missing?
numerical-methods finite-differences error-propagation
asked Dec 17 '16 at 14:21
HQuserHQuser
142212
$endgroup$
I've been trying to solve a question on my book on finding error in the following difference table:
My teacher told me to expand the difference table until I find the proper Binomial coefficients, hence I've expanded the difference table to y5.
According to my solution, the error is originating from 6th entry of the table.
In the y5 column, I am using Binomial factors to find the error.
Error = Largest value in a column / Corresponding coefficient of ε in that column
Error = $.095/4 = 0.02375$
Since my teacher told me that the error will always be subtracted from orginal entry
Corrected Value = $ 0.589 - 0.02375 = 0.56525 $
but in my book, the answer is: $0.598$
Where am I missing?
numerical-methods finite-differences error-propagation
numerical-methods finite-differences error-propagation
asked Dec 17 '16 at 14:21
HQuserHQuser
142212
asked Dec 17 '16 at 14:21
HQuserHQuser
142212
edited Dec 18 '16 at 4:27
HQuser
asked Dec 17 '16 at 14:21
HQuserHQuser
142212
asked Dec 17 '16 at 14:21
HQuserHQuser
142212
asked Dec 17 '16 at 14:21
HQuserHQuser
142212
142212
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
The corresponding coefficient of $varepsilon$ in that column for $0.095$ is $-10$.
So error will be $-0.0095$. And hence Corrected Value $=0.589+0.0095=0.5985$
edited Feb 11 '18 at 7:06
mucciolo
1,9721819
answered Feb 11 '18 at 6:07
bharat dubeybharat dubey
1
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2062307%2ffinding-error-in-following-difference-table%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
The corresponding coefficient of $varepsilon$ in that column for $0.095$ is $-10$.
So error will be $-0.0095$. And hence Corrected Value $=0.589+0.0095=0.5985$
edited Feb 11 '18 at 7:06
mucciolo
1,9721819
answered Feb 11 '18 at 6:07
bharat dubeybharat dubey
1
$endgroup$
add a comment |
$begingroup$
The corresponding coefficient of $varepsilon$ in that column for $0.095$ is $-10$.
So error will be $-0.0095$. And hence Corrected Value $=0.589+0.0095=0.5985$
edited Feb 11 '18 at 7:06
mucciolo
1,9721819
answered Feb 11 '18 at 6:07
bharat dubeybharat dubey
1
$endgroup$
add a comment |
$begingroup$
The corresponding coefficient of $varepsilon$ in that column for $0.095$ is $-10$.
So error will be $-0.0095$. And hence Corrected Value $=0.589+0.0095=0.5985$
edited Feb 11 '18 at 7:06
mucciolo
1,9721819
answered Feb 11 '18 at 6:07
bharat dubeybharat dubey
1
$endgroup$
The corresponding coefficient of $varepsilon$ in that column for $0.095$ is $-10$.
So error will be $-0.0095$. And hence Corrected Value $=0.589+0.0095=0.5985$
edited Feb 11 '18 at 7:06
mucciolo
1,9721819
answered Feb 11 '18 at 6:07
bharat dubeybharat dubey
1
edited Feb 11 '18 at 7:06
mucciolo
1,9721819
edited Feb 11 '18 at 7:06
mucciolo
1,9721819
edited Feb 11 '18 at 7:06
mucciolo
1,9721819
1,9721819
answered Feb 11 '18 at 6:07
bharat dubeybharat dubey
1
answered Feb 11 '18 at 6:07
bharat dubeybharat dubey
1
answered Feb 11 '18 at 6:07
bharat dubeybharat dubey
1
1
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2062307%2ffinding-error-in-following-difference-table%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
