------ %%Navigation: start %% Category: [[Glossary]] → [[Math_Operation]] %%-%% %%FindLinks: start %% | Inlinks <span style='font-size:smaller;color:var(--text-muted)'>(1) | Outlinks <span style='font-size:smaller;color:var(--text-muted)'>(2) | |---|---| | [${\color{blue}A}[\pu{m2},\pu{cm2},\pu{ft2}]$](Glossary/Variable/Area.md) | [[Math_Operation.md]] | | | [[Glossary.md]] | %%+%% -------- > [!multi-column|center] > > > [!metaBind]- # Parent Variable > > ```meta-bind > INPUT[inlineListSuggester(showcase, optionQuery("Glossary"), useLinks(partial)):mathLink-blocks["ParentVariable"]] > > ``` > > > [!metaBind]- # Definition > > ```meta-bind > INPUT[editor(showcase):definition] > >``` > ```ad-def title: Definition Integration of It is essentially the reverse process of differentiation and is used to determine the accumulation of quantities, such as areas under curves, total distance traveled, or the total amount of a substance over time. ``` ^definition # Main > [!metaBind]- > ```meta-bind INPUT[editor(showcase):mathLink] >``` $\int$ ^mathLink > [!multi-column|center] > > > [!metaBind]- ## Alternate Notation > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["AltNotation"]] > >``` > > > [!metaBind]- ## Alternate Notation1 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["AltNotation1"]] > >``` > > > [!metaBind]- ## Alternate Notation2 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["AltNotation2"]] > >``` > dv.page("Integration of")["mathLink-blocks"]["AltNotation"] ^AltNotation dv.page("Integration of")["mathLink-blocks"]["AltNotation1"] ^AltNotation1 dv.page("Integration of")["mathLink-blocks"]["AltNotation2"] ^AltNotation2 # Dimensions ## Dynamic > [!multi-column|center] > > > [!MetaBind]- Dimensions > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Dimensions"]] > >``` > > > [!MetaBind]- LinkedDimensions > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedDimensions"]] > >``` > [!theorem] Dynamic Dimensions > %% display: dv.page("Integration of")["mathLink-blocks"].Dimensions %% > <span class="center-align" style="display: block;">if (dv.page("Integration of").Type == "Dimension") {dv.page("Integration of")["mathLink-blocks"].Dimensions;} else {dv.page("Integration of")["mathLink-blocks"].LinkedDimensions;}</span> > > ^Dimensions if (dv.page("Integration of").Type == "Dimension") {dv.page("Integration of")["mathLink-blocks"].Dimensions;} else {dv.page("Integration of")["mathLink-blocks"].LinkedDimensions;} ^LinkedDimensions ## Static > [!multi-column|center] > > > [!metaBind]- StaticDimensions > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["StaticDimensions"]] > >``` > > > [!metaBind]- LinkedStaticDimensions > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedStaticDimensions"]] > >``` > > [!theorem] Static Dimensions > %% display: dv.page("Integration of")["mathLink-blocks"].StaticDimensions %% > <span class="center-align" style="display: block;">if (dv.page("Integration of").title == "Force") {dv.page("Integration of")["mathLink-blocks"].StaticDimensions;} else {dv.page("Integration of")["mathLink-blocks"].LinkedStaticDimensions;}</span> > > ^StaticDimensions if (dv.page("Integration of").title == "Force") {dv.page("Integration of")["mathLink-blocks"].StaticDimensions;} else {dv.page("Integration of")["mathLink-blocks"].LinkedStaticDimensions;} ^LinkedStaticDimensions ## Thermodynamic > [!multi-column|center] > > > [!metaBind]- ThermodynamicDimensions > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["ThermodynamicDimensions"]] > >``` > > > [!metaBind]- LinkedThermodynamicDimensions > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedThermodynamicDimensions"]] > >``` > > [!theorem] Thermodynamic Dimensions > %% display: dv.page("Integration of")["mathLink-blocks"].ThermodynamicDimensions %% > <span class="center-align" style="display: block;">if (dv.page("Integration of").title == "Energy") {dv.page("Integration of")["mathLink-blocks"].ThermodynamicDimensions;} else {dv.page("Integration of")["mathLink-blocks"].LinkedThermodynamicDimensions;}</span> > > ^ThermodynamicDimensions if (dv.page("Integration of").title == "Energy") {dv.page("Integration of")["mathLink-blocks"].ThermodynamicDimensions;} else {dv.page("Integration of")["mathLink-blocks"].LinkedThermodynamicDimensions;} ^LinkedStaticDimensions # Units > [!multi-column|center] > > > [!metaBind]- ## MKS > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["MKS"]] > >``` > > > [!metaBind]- ## CGS > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["CGS"]] > >``` > > > [!metaBind]- ## FPS > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["FPS"]] > >``` dv.page("Integration of")["mathLink-blocks"]["MKS"] ^MKS dv.page("Integration of")["mathLink-blocks"]["CGS"] ^CGS dv.page("Integration of")["mathLink-blocks"]["FPS"] ^FPS # Formulas > [!multi-column|center] > > > [!metaBind]- Formula > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Formula"]] > >``` > > > [!metaBind]- LinkedFormula > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedFormula"]] > >``` > > [!theorem] Formula > %% display: dv.page("Integration of")["mathLink-blocks"].Formula %% > <span class="center-align" style="display: block;">(() => { const page = dv.page("Integration of"); const type = page.Type; return ["Variable", "Sub_Variable", "Dimension", "Sub_Dimension", "Constant"].includes(type) ? page["mathLink-blocks"].LinkedFormula : page["mathLink-blocks"].Formula; })()</span> > > ^Formula (() => { const page = dv.page("Integration of"); const type = page.Type; return ["Variable", "Sub_Variable", "Dimension", "Sub_Dimension", "Constant"].includes(type) ? page["mathLink-blocks"].LinkedFormula : page["mathLink-blocks"].Formula; })() ^LinkedFormula ## 1 > [!multi-column|center] > > > [!metaBind]- Formula1 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Formula1"]] > >``` > > > [!metaBind]- LinkedFormula1 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedFormula1"]] > >``` > > [!theorem] Formula1 > %% display: dv.page("Integration of")["mathLink-blocks"].Formula1 %% > <span class="center-align" style="display: block;">(() => { const page = dv.page("Integration of"); const type = page.Type; return ["Variable", "Sub_Variable", "Dimension", "Sub_Dimension", "Constant"].includes(type) ? page["mathLink-blocks"].LinkedFormula1 : page["mathLink-blocks"].Formula1; })()</span> > > ^Formula1 (() => { const page = dv.page("Integration of"); const type = page.Type; return ["Variable", "Sub_Variable", "Dimension", "Sub_Dimension", "Constant"].includes(type) ? page["mathLink-blocks"].LinkedFormula1 : page["mathLink-blocks"].Formula1; })() ^LinkedFormula1 ## 2 > [!multi-column|center] > > > [!metaBind]- Formula2 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Formula2"]] > >``` > > > [!metaBind]- LinkedFormula2 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedFormula2"]] > >``` > > [!theorem] Formula2 > %% display: dv.page("Integration of")["mathLink-blocks"].Formula2 %% > <span class="center-align" style="display: block;">(() => { const page = dv.page("Integration of"); const type = page.Type; return ["Variable", "Sub_Variable", "Dimension", "Sub_Dimension", "Constant"].includes(type) ? page["mathLink-blocks"].LinkedFormula2 : page["mathLink-blocks"].Formula2; })()</span> > > ^Formula2 (() => { const page = dv.page("Integration of"); const type = page.Type; return ["Variable", "Sub_Variable", "Dimension", "Sub_Dimension", "Constant"].includes(type) ? page["mathLink-blocks"].LinkedFormula2 : page["mathLink-blocks"].Formula2; })() ^LinkedFormula2 ## 3 > [!multi-column|center] > > > [!metaBind]- Formula3 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Formula3"]] > >``` > > > [!metaBind]- LinkedFormula3 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedFormula3"]] > >``` > > [!theorem] Formula3 > %% display: dv.page("Integration of")["mathLink-blocks"].Formula3 %% > <span class="center-align" style="display: block;">(() => { const page = dv.page("Integration of"); const type = page.Type; return ["Variable", "Sub_Variable", "Dimension", "Sub_Dimension", "Constant"].includes(type) ? page["mathLink-blocks"].LinkedFormula3 : page["mathLink-blocks"].Formula3; })()</span> > > ^Formula3 (() => { const page = dv.page("Integration of"); const type = page.Type; return ["Variable", "Sub_Variable", "Dimension", "Sub_Dimension", "Constant"].includes(type) ? page["mathLink-blocks"].LinkedFormula3 : page["mathLink-blocks"].Formula3; })() ^LinkedFormula3 ## 4 > [!multi-column|center] > > > [!metaBind]- Formula4 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Formula4"]] > >``` > > > [!metaBind]- LinkedFormula4 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedFormula4"]] > >``` > > [!theorem] Formula4 > %% display: dv.page("Integration of")["mathLink-blocks"].Formula4 %% > <span class="center-align" style="display: block;">(() => { const page = dv.page("Integration of"); const type = page.Type; return ["Variable", "Sub_Variable", "Dimension", "Sub_Dimension", "Constant"].includes(type) ? page["mathLink-blocks"].LinkedFormula4 : page["mathLink-blocks"].Formula4; })()</span> > > ^Formula4 (() => { const page = dv.page("Integration of"); const type = page.Type; return ["Variable", "Sub_Variable", "Dimension", "Sub_Dimension", "Constant"].includes(type) ? page["mathLink-blocks"].LinkedFormula4 : page["mathLink-blocks"].Formula4; })() ^LinkedFormula4 ## 5 > [!multi-column|center] > > > [!metaBind]- Formula5 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Formula5"]] > >``` > > > [!metaBind]- LinkedFormula5 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedFormula5"]] > >``` > > [!theorem] Formula5 > %% display: dv.page("Integration of")["mathLink-blocks"].Formula5 %% > <span class="center-align" style="display: block;">(() => { const page = dv.page("Integration of"); const type = page.Type; return ["Variable", "Sub_Variable", "Dimension", "Sub_Dimension", "Constant"].includes(type) ? page["mathLink-blocks"].LinkedFormula5 : page["mathLink-blocks"].Formula5; })()</span> > > ^Formula5 (() => { const page = dv.page("Integration of"); const type = page.Type; return ["Variable", "Sub_Variable", "Dimension", "Sub_Dimension", "Constant"].includes(type) ? page["mathLink-blocks"].LinkedFormula5 : page["mathLink-blocks"].Formula5; })() ^LinkedFormula5