Jump to navigation Jump to search

General

Display information for equation id:math.287274.4 on revision:287274

* Page found: Reliability (psychometrics) (eq math.287274.4)

(force rerendering)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: e8640387578cc5e9096be4e8a792fea3

TeX (original user input):

R(t) = \exp(-\lambda t).

TeX (checked):

R(t)=\exp(-\lambda t).

LaTeXML (experimental; uses MathML) rendering

MathML (3.01 KB / 633 B) :

R ( t ) = exp ( - λ t ) . R t λ t {\displaystyle R(t)=\exp(-\lambda t).}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle R(t)=\exp(-\lambda t).}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">
      <mrow id="p1.1.m1.1.13a" xref="p1.1.m1.1.13.cmml">
        <mrow id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">
          <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">R</mi>
          <mo id="p1.1.m1.1.13.1.1" xref="p1.1.m1.1.13.1.1.cmml"></mo>
          <mrow id="p1.1.m1.1.13.1.2">
            <mo stretchy="false" id="p1.1.m1.1.2">(</mo>
            <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">t</mi>
            <mo stretchy="false" id="p1.1.m1.1.4">)</mo>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">=</mo>
        <mrow id="p1.1.m1.1.13.2.2" xref="p1.1.m1.1.13.2.1.cmml">
          <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">exp</mi>
          <mo id="p1.1.m1.1.13.2.2a" xref="p1.1.m1.1.13.2.1.cmml"></mo>
          <mrow id="p1.1.m1.1.13.2" xref="p1.1.m1.1.13.2.1.cmml">
            <mo stretchy="false" id="p1.1.m1.1.7" xref="p1.1.m1.1.13.2.1.cmml">(</mo>
            <mrow id="p1.1.m1.1.13.2.2.1" xref="p1.1.m1.1.13.2.1.cmml">
              <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">-</mo>
              <mrow id="p1.1.m1.1.13.2.2.1.1" xref="p1.1.m1.1.13.2.1.cmml">
                <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">λ</mi>
                <mo id="p1.1.m1.1.13.2.2.1.1.1" xref="p1.1.m1.1.13.2.2.1.1.1.cmml"></mo>
                <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">t</mi>
              </mrow>
            </mrow>
            <mo stretchy="false" id="p1.1.m1.1.11" xref="p1.1.m1.1.13.2.1.cmml">)</mo>
          </mrow>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.13b" xref="p1.1.m1.1.13.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">
        <eq id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
        <apply id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">
          <times id="p1.1.m1.1.13.1.1.cmml" xref="p1.1.m1.1.13.1.1"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">R</ci>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">t</ci>
        </apply>
        <apply id="p1.1.m1.1.13.2.1.cmml" xref="p1.1.m1.1.13.2.2">
          <exp id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
          <apply id="p1.1.m1.1.13.2.2.1.cmml" xref="p1.1.m1.1.13.2.2">
            <minus id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
            <apply id="p1.1.m1.1.13.2.2.1.1.cmml" xref="p1.1.m1.1.13.2.2">
              <times id="p1.1.m1.1.13.2.2.1.1.1.cmml" xref="p1.1.m1.1.13.2.2.1.1.1"/>
              <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">λ</ci>
              <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">t</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle R(t)=\exp(-\lambda t).}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (7.331 KB / 2.832 KB) :

upper R times left-parenthesis t right-parenthesis equals exp left-parenthesis minus lamda times t right-parenthesis period

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple: R*(t)= exp(- lambda*t)

Information about the conversion process:

\exp: Exponential function; Example: \exp@@{z}

Will be translated to: exp($0)

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.2#E19

Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=exp



Translation to Mathematica

In Mathematica: R*(t)= Exp[- \[Lambda]*t]

Information about the conversion process:

\exp: Exponential function; Example: \exp@@{z}

Will be translated to: Exp[$0]

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.2#E19

Mathematica: https://reference.wolfram.com/language/ref/Exp.html



Similar pages

Calculated based on the variables occurring on the entire Reliability (psychometrics) page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results