Big-o notation confused The Next CEO of Stack OverflowWhat does it mean to select $O(k log k / epsilon^2)$ indices?Big Oh notation/estimationParticular Use of Big O NotationAsymptotic/Big-O notation with multiple variables?Big O notation and double “less than” notationClarifying the definition of big-ohQuestion about the meaning of “exact” in backward stabilityBig-O Notation of an expressionBig O notation question, loglinear/polynomial growth rateStrange big-O notation?

Multi tool use
Multi tool use

Find the majority element, which appears more than half the time

Compensation for working overtime on Saturdays

Would a grinding machine be a simple and workable propulsion system for an interplanetary spacecraft?

How to compactly explain secondary and tertiary characters without resorting to stereotypes?

Is it possible to create a QR code using text?

How do I secure a TV wall mount?

Planeswalker Ability and Death Timing

How can I replace x-axis labels with pre-determined symbols?

Could a dragon use its wings to swim?

What does this strange code stamp on my passport mean?

Salesforce opportunity stages

Masking layers by a vector polygon layer in QGIS

My boss doesn't want me to have a side project

Mathematica command that allows it to read my intentions

Can this transistor (2N2222) take 6 V on emitter-base? Am I reading the datasheet incorrectly?

That's an odd coin - I wonder why

Why did early computer designers eschew integers?

Finitely generated matrix groups whose eigenvalues are all algebraic

Physiological effects of huge anime eyes

Does int main() need a declaration on C++?

Is it possible to make a 9x9 table fit within the default margins?

"Eavesdropping" vs "Listen in on"

How to unfasten electrical subpanel attached with ramset

What did the word "leisure" mean in late 18th Century usage?



Big-o notation confused



The Next CEO of Stack OverflowWhat does it mean to select $O(k log k / epsilon^2)$ indices?Big Oh notation/estimationParticular Use of Big O NotationAsymptotic/Big-O notation with multiple variables?Big O notation and double “less than” notationClarifying the definition of big-ohQuestion about the meaning of “exact” in backward stabilityBig-O Notation of an expressionBig O notation question, loglinear/polynomial growth rateStrange big-O notation?










0












$begingroup$


In error analysis we say the error is of order $epsilon$ if the error is less than or equal constant multiple of $epsilon$.



The question is: what is the benefit we have if we can multiply by any constant we choose?










share|cite|improve this question











$endgroup$
















    0












    $begingroup$


    In error analysis we say the error is of order $epsilon$ if the error is less than or equal constant multiple of $epsilon$.



    The question is: what is the benefit we have if we can multiply by any constant we choose?










    share|cite|improve this question











    $endgroup$














      0












      0








      0





      $begingroup$


      In error analysis we say the error is of order $epsilon$ if the error is less than or equal constant multiple of $epsilon$.



      The question is: what is the benefit we have if we can multiply by any constant we choose?










      share|cite|improve this question











      $endgroup$




      In error analysis we say the error is of order $epsilon$ if the error is less than or equal constant multiple of $epsilon$.



      The question is: what is the benefit we have if we can multiply by any constant we choose?







      linear-algebra asymptotics numerical-linear-algebra






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Mar 20 at 14:34









      Omnomnomnom

      129k793187




      129k793187










      asked Mar 20 at 10:25









      user8965733user8965733

      453




      453




















          1 Answer
          1






          active

          oldest

          votes


















          1












          $begingroup$

          The point is that you usually don't care about the constant. If $epsilon = 10^-10$, it's more important to know whether your error bounded by $8 epsilon$ or $8 epsilon^2$ than it is to know whether your error is bounded by $8epsilon$ or $pi^2 epsilon$...






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            Thank you........
            $endgroup$
            – user8965733
            Mar 20 at 11:47











          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
          );



          );













          draft saved

          draft discarded


















          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3155249%2fbig-o-notation-confused%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









          1












          $begingroup$

          The point is that you usually don't care about the constant. If $epsilon = 10^-10$, it's more important to know whether your error bounded by $8 epsilon$ or $8 epsilon^2$ than it is to know whether your error is bounded by $8epsilon$ or $pi^2 epsilon$...






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            Thank you........
            $endgroup$
            – user8965733
            Mar 20 at 11:47















          1












          $begingroup$

          The point is that you usually don't care about the constant. If $epsilon = 10^-10$, it's more important to know whether your error bounded by $8 epsilon$ or $8 epsilon^2$ than it is to know whether your error is bounded by $8epsilon$ or $pi^2 epsilon$...






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            Thank you........
            $endgroup$
            – user8965733
            Mar 20 at 11:47













          1












          1








          1





          $begingroup$

          The point is that you usually don't care about the constant. If $epsilon = 10^-10$, it's more important to know whether your error bounded by $8 epsilon$ or $8 epsilon^2$ than it is to know whether your error is bounded by $8epsilon$ or $pi^2 epsilon$...






          share|cite|improve this answer









          $endgroup$



          The point is that you usually don't care about the constant. If $epsilon = 10^-10$, it's more important to know whether your error bounded by $8 epsilon$ or $8 epsilon^2$ than it is to know whether your error is bounded by $8epsilon$ or $pi^2 epsilon$...







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Mar 20 at 10:28









          GlougloubarbakiGlougloubarbaki

          5,83511439




          5,83511439











          • $begingroup$
            Thank you........
            $endgroup$
            – user8965733
            Mar 20 at 11:47
















          • $begingroup$
            Thank you........
            $endgroup$
            – user8965733
            Mar 20 at 11:47















          $begingroup$
          Thank you........
          $endgroup$
          – user8965733
          Mar 20 at 11:47




          $begingroup$
          Thank you........
          $endgroup$
          – user8965733
          Mar 20 at 11:47

















          draft saved

          draft discarded
















































          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.




          draft saved


          draft discarded














          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3155249%2fbig-o-notation-confused%23new-answer', 'question_page');

          );

          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







          bE3GD,EwCt6,ngOlDMbgSP1,SzCcE1VE3z3OV Y9a1mGpOTPsJQvHJhz
          oub,Ndp9dr157 Ja095Zt0p7Ux,eso,MnFiS5gvbl,1,nXVC4goE2Wwl NF9FV7Nv sNk,Cq628AxVFZ,4GfeBI

          Popular posts from this blog

          Football at the 1986 Brunei Merdeka Games Contents Teams Group stage Knockout stage References Navigation menu"Brunei Merdeka Games 1986".

          Solar Wings Breeze Design and development Specifications (Breeze) References Navigation menu1368-485X"Hang glider: Breeze (Solar Wings)"e

          Kathakali Contents Etymology and nomenclature History Repertoire Songs and musical instruments Traditional plays Styles: Sampradayam Training centers and awards Relationship to other dance forms See also Notes References External links Navigation menueThe Illustrated Encyclopedia of Hinduism: A-MSouth Asian Folklore: An EncyclopediaRoutledge International Encyclopedia of Women: Global Women's Issues and KnowledgeKathakali Dance-drama: Where Gods and Demons Come to PlayKathakali Dance-drama: Where Gods and Demons Come to PlayKathakali Dance-drama: Where Gods and Demons Come to Play10.1353/atj.2005.0004The Illustrated Encyclopedia of Hinduism: A-MEncyclopedia of HinduismKathakali Dance-drama: Where Gods and Demons Come to PlaySonic Liturgy: Ritual and Music in Hindu Tradition"The Mirror of Gesture"Kathakali Dance-drama: Where Gods and Demons Come to Play"Kathakali"Indian Theatre: Traditions of PerformanceIndian Theatre: Traditions of PerformanceIndian Theatre: Traditions of PerformanceIndian Theatre: Traditions of PerformanceMedieval Indian Literature: An AnthologyThe Oxford Companion to Indian TheatreSouth Asian Folklore: An Encyclopedia : Afghanistan, Bangladesh, India, Nepal, Pakistan, Sri LankaThe Rise of Performance Studies: Rethinking Richard Schechner's Broad SpectrumIndian Theatre: Traditions of PerformanceModern Asian Theatre and Performance 1900-2000Critical Theory and PerformanceBetween Theater and AnthropologyKathakali603847011Indian Theatre: Traditions of PerformanceIndian Theatre: Traditions of PerformanceIndian Theatre: Traditions of PerformanceBetween Theater and AnthropologyBetween Theater and AnthropologyNambeesan Smaraka AwardsArchivedThe Cambridge Guide to TheatreRoutledge International Encyclopedia of Women: Global Women's Issues and KnowledgeThe Garland Encyclopedia of World Music: South Asia : the Indian subcontinentThe Ethos of Noh: Actors and Their Art10.2307/1145740By Means of Performance: Intercultural Studies of Theatre and Ritual10.1017/s204912550000100xReconceiving the Renaissance: A Critical ReaderPerformance TheoryListening to Theatre: The Aural Dimension of Beijing Opera10.2307/1146013Kathakali: The Art of the Non-WorldlyOn KathakaliKathakali, the dance theatreThe Kathakali Complex: Performance & StructureKathakali Dance-Drama: Where Gods and Demons Come to Play10.1093/obo/9780195399318-0071Drama and Ritual of Early Hinduism"In the Shadow of Hollywood Orientalism: Authentic East Indian Dancing"10.1080/08949460490274013Sanskrit Play Production in Ancient IndiaIndian Music: History and StructureBharata, the Nāṭyaśāstra233639306Table of Contents2238067286469807Dance In Indian Painting10.2307/32047833204783Kathakali Dance-Theatre: A Visual Narrative of Sacred Indian MimeIndian Classical Dance: The Renaissance and BeyondKathakali: an indigenous art-form of Keralaeee