(window.webpackJsonp=window.webpackJsonp||[]).push([[44],{144:function(a,e,t){"use strict";t.r(e),t.d(e,"frontMatter",(function(){return c})),t.d(e,"metadata",(function(){return p})),t.d(e,"rightToc",(function(){return r})),t.d(e,"default",(function(){return j}));var s=t(2),m=t(6),n=(t(0),t(166)),b=t(167),c={id:"rateLimiter",title:"Limitador de taxa",sidebar_label:"Limitador de taxa"},p={id:"rateLimiter",isDocsHomePage:!1,title:"Limitador de taxa",description:"Os blocos de limite de taxa t\xeam como objetivo conter a taxa de crescimento ou decrescimento da sua entrada a valores inseridos pelo usu\xe1rio. A taxa de varia\xe7\xe3o \xe9 calculada a partir dos valores de entrada atual e passado e, caso seja violada, ser\xe1 definida uma sa\xedda que respeite essas taxas (de crescimento ou decrescimento).",source:"@site/docs\\rateLimiter.md",permalink:"/PSP/docs/rateLimiter",editUrl:"https://github.com/Thales1330/PSP/tree/master/docusaurus/docs/rateLimiter.md",sidebar_label:"Limitador de taxa",sidebar:"docs",previous:{title:"Limitador absoluto",permalink:"/PSP/docs/limiter"},next:{title:"Constante",permalink:"/PSP/docs/const"}},r=[{value:"Formul\xe1rio de edi\xe7\xe3o de dados do Limitador de taxa",id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-do-limitador-de-taxa",children:[]}],O={rightToc:r};function j(a){var e=a.components,t=Object(m.a)(a,["components"]);return Object(n.b)("wrapper",Object(s.a)({},O,t,{components:e,mdxType:"MDXLayout"}),Object(n.b)("link",{rel:"stylesheet",href:Object(b.a)("katex/katex.min.css")}),Object(n.b)("p",null,"Os blocos de limite de taxa t\xeam como objetivo conter a taxa de crescimento ou decrescimento da sua entrada a valores inseridos pelo usu\xe1rio. A taxa de varia\xe7\xe3o \xe9 calculada a partir dos valores de entrada atual e passado e, caso seja violada, ser\xe1 definida uma sa\xedda que respeite essas taxas (de crescimento ou decrescimento)."),Object(n.b)("p",null,"A taxa (",Object(n.b)("span",Object(s.a)({parentName:"p"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/1998/Math/MathML"}),Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"r")),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"r")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.02778em"}}),"r"))))),") \xe9 calculada de acordo com a equa\xe7\xe3o:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",Object(s.a)({parentName:"div"},{className:"katex-display"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/1998/Math/MathML"}),Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"r"),Object(n.b)("mo",{parentName:"mrow"},"="),Object(n.b)("mfrac",{parentName:"mrow"},Object(n.b)("mrow",{parentName:"mfrac"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"u"),Object(n.b)("mi",{parentName:"msub"},"n")),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"y"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"n"),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("mn",{parentName:"mrow"},"1")))),Object(n.b)("mi",{parentName:"mfrac"},"h"))),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"r = \\frac{u_n - y_{n-1}}{h}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.43056em",verticalAlign:"0em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.02778em"}}),"r"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"="),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"1.9463300000000001em",verticalAlign:"-0.686em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen nulldelimiter"})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mfrac"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.26033em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.314em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"h"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.23em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"frac-line",style:{borderBottomWidth:"0.04em"}}))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.677em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"u"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"n")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"y"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.301108em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"n"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin mtight"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"1"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.208331em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.686em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"})))))))),Object(n.b)("p",null,"Em que:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/1998/Math/MathML"}),Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"u"),Object(n.b)("mi",{parentName:"msub"},"n"))),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"u_n")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.58056em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"u"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"n")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))))))),"\t\xe9 a entrada atual do bloco"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/1998/Math/MathML"}),Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"y"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"n"),Object(n.b)("mo",{parentName:"mrow"},"\u2212"),Object(n.b)("mn",{parentName:"mrow"},"1")))),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"y_{n-1}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.638891em",verticalAlign:"-0.208331em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.03588em"}}),"y"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.301108em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.03588em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"n"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin mtight"}),"\u2212"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),"1"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.208331em"}}),Object(n.b)("span",{parentName:"span"})))))))))),"\t\xe9 o valor de sa\xedda anterior do bloco"),Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/1998/Math/MathML"}),Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mi",{parentName:"mrow"},"h")),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"h")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.69444em",verticalAlign:"0em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"h"))))),"\t\xe9 o passo de integra\xe7\xe3o")),Object(n.b)("p",null,"Obtida a taxa, o bloco ir\xe1 resultar em um valor calculado pelas seguintes condi\xe7\xf5es:"),Object(n.b)("div",{className:"math math-display"},Object(n.b)("span",Object(s.a)({parentName:"div"},{className:"katex-display"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/1998/Math/MathML"}),Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("mo",Object(s.a)({parentName:"mrow"},{fence:"true"}),"{"),Object(n.b)("mtable",Object(s.a)({parentName:"mrow"},{rowspacing:"0.3599999999999999em",columnalign:"left left",columnspacing:"1em"}),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",Object(s.a)({parentName:"mtd"},{scriptlevel:"0",displaystyle:"false"}),Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow"},"h"),Object(n.b)("mo",{parentName:"mrow"},"\xd7"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"R"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"c"),Object(n.b)("mi",{parentName:"mrow"},"r"),Object(n.b)("mi",{parentName:"mrow"},"e"))),Object(n.b)("mo",Object(s.a)({parentName:"mrow"},{separator:"true",lspace:"0em",rspace:"0em"}),",")))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",Object(s.a)({parentName:"mtd"},{scriptlevel:"0",displaystyle:"false"}),Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mtext",{parentName:"mrow"},"se\xa0"),Object(n.b)("mi",{parentName:"mrow"},"r"),Object(n.b)("mo",{parentName:"mrow"},">"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"R"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"c"),Object(n.b)("mi",{parentName:"mrow"},"r"),Object(n.b)("mi",{parentName:"mrow"},"e"))))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",Object(s.a)({parentName:"mtd"},{scriptlevel:"0",displaystyle:"false"}),Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"u"),Object(n.b)("mi",{parentName:"msub"},"n")),Object(n.b)("mo",Object(s.a)({parentName:"mrow"},{separator:"true",lspace:"0em",rspace:"0em"}),",")))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",Object(s.a)({parentName:"mtd"},{scriptlevel:"0",displaystyle:"false"}),Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mtext",{parentName:"mrow"},"se\xa0"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"R"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mi",{parentName:"mrow"},"c"))),Object(n.b)("mo",{parentName:"mrow"},"\u2264"),Object(n.b)("mi",{parentName:"mrow"},"r"),Object(n.b)("mo",{parentName:"mrow"},"\u2264"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"R"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"c"),Object(n.b)("mi",{parentName:"mrow"},"r"),Object(n.b)("mi",{parentName:"mrow"},"e"))))))),Object(n.b)("mtr",{parentName:"mtable"},Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",Object(s.a)({parentName:"mtd"},{scriptlevel:"0",displaystyle:"false"}),Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mi",{parentName:"mrow"},"h"),Object(n.b)("mo",{parentName:"mrow"},"\xd7"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"R"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mi",{parentName:"mrow"},"c"))),Object(n.b)("mo",Object(s.a)({parentName:"mrow"},{separator:"true",lspace:"0em",rspace:"0em"}),",")))),Object(n.b)("mtd",{parentName:"mtr"},Object(n.b)("mstyle",Object(s.a)({parentName:"mtd"},{scriptlevel:"0",displaystyle:"false"}),Object(n.b)("mrow",{parentName:"mstyle"},Object(n.b)("mtext",{parentName:"mrow"},"se\xa0"),Object(n.b)("mi",{parentName:"mrow"},"r"),Object(n.b)("mo",{parentName:"mrow"},"<"),Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"R"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mi",{parentName:"mrow"},"c"))))))))),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"\\begin{cases} h \\times R_{cre}{,} & \\text{se } r > R_{cre} \\\\ u_n{,} & \\text{se } R_{dec} \\le r \\le R_{cre}\\\\ h \\times R_{dec}{,} & \\text{se } r < R_{dec} \\end{cases}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"4.32em",verticalAlign:"-1.9099999999999997em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"minner"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mopen"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"delimsizing mult"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"2.35002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.19999em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"delimsizinginner delim-size4"}),Object(n.b)("span",{parentName:"span"},"\u23a9"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.19499em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"delimsizinginner delim-size4"}),Object(n.b)("span",{parentName:"span"},"\u23aa"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.20499em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"delimsizinginner delim-size4"}),Object(n.b)("span",{parentName:"span"},"\u23aa"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-3.15001em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"delimsizinginner delim-size4"}),Object(n.b)("span",{parentName:"span"},"\u23a8"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-4.2950099999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"delimsizinginner delim-size4"}),Object(n.b)("span",{parentName:"span"},"\u23aa"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-4.30501em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"delimsizinginner delim-size4"}),Object(n.b)("span",{parentName:"span"},"\u23aa"))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-4.60002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"delimsizinginner delim-size4"}),Object(n.b)("span",{parentName:"span"},"\u23a7")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.8500199999999998em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mtable"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"col-align-l"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"2.41em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-4.41em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.008em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"h"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\xd7"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.00773em"}}),"R"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"c"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}}),"r"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"e"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mpunct"}),",")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.97em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.008em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"u"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"0em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"n")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mpunct"}),",")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-1.5300000000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.008em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault"}),"h"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mbin"}),"\xd7"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2222222222222222em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.00773em"}}),"R"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"e"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"c"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mpunct"}),","))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.9099999999999997em"}}),Object(n.b)("span",{parentName:"span"}))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"arraycolsep",style:{width:"1em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"col-align-l"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"2.41em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-4.41em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.008em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord text"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"se\xa0")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.02778em"}}),"r"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),">"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.00773em"}}),"R"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"c"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}}),"r"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"e"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.97em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.008em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord text"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"se\xa0")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.00773em"}}),"R"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"e"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"c"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"\u2264"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.02778em"}}),"r"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"\u2264"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.00773em"}}),"R"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"c"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}}),"r"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"e"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-1.5300000000000002em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"3.008em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord text"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),"se\xa0")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.02778em"}}),"r"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mrel"}),"<"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mspace",style:{marginRight:"0.2777777777777778em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.00773em"}}),"R"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"e"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"c"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"}))))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"1.9099999999999997em"}}),Object(n.b)("span",{parentName:"span"}))))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mclose nulldelimiter"})))))))),Object(n.b)("p",null,"Em que:"),Object(n.b)("ul",null,Object(n.b)("li",{parentName:"ul"},Object(n.b)("span",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/1998/Math/MathML"}),Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"R"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"c"),Object(n.b)("mi",{parentName:"mrow"},"r"),Object(n.b)("mi",{parentName:"mrow"},"e")))),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"R_{cre}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.00773em"}}),"R"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.151392em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"c"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight",style:{marginRight:"0.02778em"}}),"r"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"e"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"}))))))))))," e ",Object(n.b)("span",Object(s.a)({parentName:"li"},{className:"math math-inline"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-mathml"}),Object(n.b)("math",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/1998/Math/MathML"}),Object(n.b)("semantics",{parentName:"math"},Object(n.b)("mrow",{parentName:"semantics"},Object(n.b)("msub",{parentName:"mrow"},Object(n.b)("mi",{parentName:"msub"},"R"),Object(n.b)("mrow",{parentName:"msub"},Object(n.b)("mi",{parentName:"mrow"},"d"),Object(n.b)("mi",{parentName:"mrow"},"e"),Object(n.b)("mi",{parentName:"mrow"},"c")))),Object(n.b)("annotation",Object(s.a)({parentName:"semantics"},{encoding:"application/x-tex"}),"R_{dec}")))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"katex-html","aria-hidden":"true"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"base"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"strut",style:{height:"0.83333em",verticalAlign:"-0.15em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault",style:{marginRight:"0.00773em"}}),"R"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"msupsub"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-t vlist-t2"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.33610799999999996em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{style:{top:"-2.5500000000000003em",marginLeft:"-0.00773em",marginRight:"0.05em"}}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"pstrut",style:{height:"2.7em"}})),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"sizing reset-size6 size3 mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mtight"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"d"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"e"),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"mord mathdefault mtight"}),"c"))))),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-s"}),"\u200b")),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist-r"}),Object(n.b)("span",Object(s.a)({parentName:"span"},{className:"vlist",style:{height:"0.15em"}}),Object(n.b)("span",{parentName:"span"})))))))))),"\ts\xe3o as taxas de crescimento e decaimento, respectivamente")),Object(n.b)("h2",{id:"formul\xe1rio-de-edi\xe7\xe3o-de-dados-do-limitador-de-taxa"},"Formul\xe1rio de edi\xe7\xe3o de dados do Limitador de taxa"),Object(n.b)("p",null,"A figura abaixo apresenta o formul\xe1rio de edi\xe7\xe3o de dados do bloco limitador de taxa."),Object(n.b)("div",null,Object(n.b)("center",null,Object(n.b)("img",{src:Object(b.a)("images/rateLimitForm.png"),alt:"Formul\xe1rio de edi\xe7\xe3o de dados do bloco limitador de taxa no PSP-UFU",title:"Formul\xe1rio de edi\xe7\xe3o de dados do bloco limitador de taxa no PSP-UFU"}))),Object(n.b)("p",null,"Esse bloco \xe9 definido pelo ",Object(n.b)("strong",{parentName:"p"},"limite superior (taxa de crescimento m\xe1xima) e inferior (taxa de decrescimento m\xe1xima)"),", inseridos pelo usu\xe1rio."),Object(n.b)("div",{className:"admonition admonition-info alert alert--info"},Object(n.b)("div",Object(s.a)({parentName:"div"},{className:"admonition-heading"}),Object(n.b)("h5",{parentName:"div"},Object(n.b)("span",Object(s.a)({parentName:"h5"},{className:"admonition-icon"}),Object(n.b)("svg",Object(s.a)({parentName:"span"},{xmlns:"http://www.w3.org/2000/svg",width:"14",height:"16",viewBox:"0 0 14 16"}),Object(n.b)("path",Object(s.a)({parentName:"svg"},{fillRule:"evenodd",d:"M7 2.3c3.14 0 5.7 2.56 5.7 5.7s-2.56 5.7-5.7 5.7A5.71 5.71 0 0 1 1.3 8c0-3.14 2.56-5.7 5.7-5.7zM7 1C3.14 1 0 4.14 0 8s3.14 7 7 7 7-3.14 7-7-3.14-7-7-7zm1 3H6v5h2V4zm0 6H6v2h2v-2z"})))),"Informa\xe7\xe3o")),Object(n.b)("div",Object(s.a)({parentName:"div"},{className:"admonition-content"}),Object(n.b)("p",{parentName:"div"},"Esses blocos s\xe3o \xfateis para limitar varia\xe7\xf5es bruscas na entrada que possam comprometer o controle ou limites f\xedsicos de modelos de turbina, por exemplo."))))}j.isMDXComponent=!0},165:function(a,e,t){"use strict";var s=t(0),m=t(35);e.a=function(){return Object(s.useContext)(m.a)}},166:function(a,e,t){"use strict";t.d(e,"a",(function(){return j})),t.d(e,"b",(function(){return i}));var s=t(0),m=t.n(s);function n(a,e,t){return e in a?Object.defineProperty(a,e,{value:t,enumerable:!0,configurable:!0,writable:!0}):a[e]=t,a}function b(a,e){var t=Object.keys(a);if(Object.getOwnPropertySymbols){var s=Object.getOwnPropertySymbols(a);e&&(s=s.filter((function(e){return Object.getOwnPropertyDescriptor(a,e).enumerable}))),t.push.apply(t,s)}return t}function c(a){for(var e=1;e<arguments.length;e++){var t=null!=arguments[e]?arguments[e]:{};e%2?b(Object(t),!0).forEach((function(e){n(a,e,t[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(a,Object.getOwnPropertyDescriptors(t)):b(Object(t)).forEach((function(e){Object.defineProperty(a,e,Object.getOwnPropertyDescriptor(t,e))}))}return a}function p(a,e){if(null==a)return{};var t,s,m=function(a,e){if(null==a)return{};var t,s,m={},n=Object.keys(a);for(s=0;s<n.length;s++)t=n[s],e.indexOf(t)>=0||(m[t]=a[t]);return m}(a,e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(a);for(s=0;s<n.length;s++)t=n[s],e.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(a,t)&&(m[t]=a[t])}return m}var r=m.a.createContext({}),O=function(a){var e=m.a.useContext(r),t=e;return a&&(t="function"==typeof a?a(e):c(c({},e),a)),t},j=function(a){var e=O(a.components);return m.a.createElement(r.Provider,{value:e},a.children)},l={inlineCode:"code",wrapper:function(a){var e=a.children;return m.a.createElement(m.a.Fragment,{},e)}},N=m.a.forwardRef((function(a,e){var t=a.components,s=a.mdxType,n=a.originalType,b=a.parentName,r=p(a,["components","mdxType","originalType","parentName"]),j=O(t),N=s,i=j["".concat(b,".").concat(N)]||j[N]||l[N]||n;return t?m.a.createElement(i,c(c({ref:e},r),{},{components:t})):m.a.createElement(i,c({ref:e},r))}));function i(a,e){var t=arguments,s=e&&e.mdxType;if("string"==typeof a||s){var n=t.length,b=new Array(n);b[0]=N;var c={};for(var p in e)hasOwnProperty.call(e,p)&&(c[p]=e[p]);c.originalType=a,c.mdxType="string"==typeof a?a:s,b[1]=c;for(var r=2;r<n;r++)b[r]=t[r];return m.a.createElement.apply(null,b)}return m.a.createElement.apply(null,t)}N.displayName="MDXCreateElement"},167:function(a,e,t){"use strict";t.d(e,"a",(function(){return n}));var s=t(165),m=t(168);function n(a,{forcePrependBaseUrl:e=!1,absolute:t=!1}={}){const{siteConfig:{baseUrl:n="/",url:b}={}}=Object(s.a)();if(!a)return a;if(e)return n+a;if(!Object(m.a)(a))return a;const c=n+a.replace(/^\//,"");return t?b+c:c}},168:function(a,e,t){"use strict";function s(a){return!1===/^(https?:|\/\/|mailto:|tel:)/.test(a)}t.d(e,"a",(function(){return s}))}}]);