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No implementation found for style `epstopdf'

No number for "Simpleharmonicoscillation:<SPANCLASS="MATH">$x=a,cos(omega,t-phi)$
</SPAN>."

No number for "Simpleharmonicoscillation:<SPANCLASS="MATH">$x=a,cos(2pi,t/T-phi)$
</SPAN>.Thesolid,short-dashed,andlong-dashedcurvescorrespondto<SPANCLASS="MATH">
</SPAN>,<SPANCLASS="MATH">
</SPAN>,and<SPANCLASS="MATH">
</SPAN>,respectively."

No number for "Simpleharmonicoscillation:<SPANCLASS="MATH">$x=a,cos(omega,t-phi)$
</SPAN>.Thesolid,short-dashed,andlong-dashedcurvesshow<SPANCLASS="MATH">
</SPAN>,<SPANCLASS="MATH">
</SPAN>,and<SPANCLASS="MATH">
</SPAN>,respectively."

No number for "Simpleharmonicoscillation:<SPANCLASS="MATH">$x=a,cos(omega,t-phi)$
</SPAN>.Theshort-dashed,long-dashed,andsolidcurvesshow<SPANCLASS="MATH">
</SPAN>,<SPANCLASS="MATH">
</SPAN>,and<SPANCLASS="MATH">
</SPAN>,respectively."

No number for "Simpleharmonicoscillation:<SPANCLASS="MATH">$I=hat{I},cos(omega,t-phi)$
</SPAN>,<SPANCLASS="MATH">
</SPAN>,<SPANCLASS="MATH">
</SPAN>.Theshort-dashed,long-dashed,andsolidcurvesshow<SPANCLASS="MATH">
</SPAN>,<SPANCLASS="MATH">
</SPAN>,and<SPANCLASS="MATH">
</SPAN>,respectively."

No number for "Timeevolutionofthephysicalcoordinatesofthetwo-degree-of-freedomLCcircuitpicturedinFigure3.4.Theinitialconditionsare<SPANCLASS="MATH">$I_1=0.9,I_0$
</SPAN>,<SPANCLASS="MATH">
</SPAN>,<SPANCLASS="MATH">
</SPAN>.Thesolidcurvecorrespondsto<SPANCLASS="MATH">
</SPAN>,andthedashedcurveto<SPANCLASS="MATH">
</SPAN>.Here,<SPANCLASS="MATH">
</SPAN>,and<SPANCLASS="MATH">
</SPAN>."

No number for "Timeevolutionofthenormalcoordinatesofthetwo-degree-of-freedomLCcircuitpicturedinFigure3.4.Theinitialconditionsare<SPANCLASS="MATH">$I_1=0.9,I_0$
</SPAN>,<SPANCLASS="MATH">
</SPAN>,<SPANCLASS="MATH">
</SPAN>.Thesolidcurvecorrespondsto<SPANCLASS="MATH">
</SPAN>,andthedashedcurveto<SPANCLASS="MATH">
</SPAN>.Here,<SPANCLASS="MATH">
</SPAN>,and<SPANCLASS="MATH">
</SPAN>."

No number for "Normalmodesofabeadedstringwitheightequally-spacedbeads.Themodesareallshownattheinstancesintimewhentheyattaintheirmaximumamplitudes:inotherwords,at<SPANCLASS="MATH">$omega_n,t-phi_n=0$
</SPAN>."

No number for "Firsteightnormalmodesofauniformstring.Themodesareallshownattheinstancesintimewhentheyattaintheirmaximumamplitudes;namely,at<SPANCLASS="MATH">$omega_n,t-phi_n=0$
</SPAN>."

No number for "Normalmodesofasystemofeightspring-coupledmasseswiththeleftendfree,andtherightendfixed.Themodesareallplottedattheinstancesintimewhentheyattaintheirmaximumamplitudes:namely,when<SPANCLASS="MATH">$cos(omega_n,t-phi_n)=1$
</SPAN>."

No number for "Calculatedandmeasuredlongitudinalwavespeedsinthinrodsmadeupofcommonmetals.<SPANCLASS="SPAN">Sources:HaynesandLide2011c,Wikipediacontributors2018.</SPAN>"

No number for "FirstfewzerosoftheBesselfunction<SPANCLASS="MATH">$J_0(z)$
</SPAN>.<SPANCLASS="SPAN">Source:AbramowitzandStegun1965.</SPAN>"

No number for "Far-fieldinterference/diffractionpatternproducedbyarectangularapertureforwhich<SPANCLASS="MATH">$b=2,a$
</SPAN>.Darkregionsindicatehighlightintensity."

No number for "Thefunction<SPANCLASS="MATH">$2,J_1(z)/z$
</SPAN>."

No number for "Firstfewzerosofthefunction<SPANCLASS="MATH">$2,J_1(z)/z$
</SPAN>.<SPANCLASS="SPAN">Source:AbramowitzandStegun1965.</SPAN>"

No number for "Thecurves<SPANCLASS="MATH">$tany$
</SPAN>(solid)and<SPANCLASS="MATH">
</SPAN>(dashed),calculatedfor<SPANCLASS="MATH">
</SPAN>.Thelattercurvetakesthevalue<SPANCLASS="MATH">0</SPAN>when<SPANCLASS="MATH">
</SPAN>."

No number for "Thecurves<SPANCLASS="MATH">$tany$
</SPAN>(solid)and<SPANCLASS="MATH">
</SPAN>(dashed),calculatedfor<SPANCLASS="MATH">
</SPAN>."

No number for "Transmission(solidcurve)andreflection(dashedcurve)probabilitiesforasquarepotentialbarrierofwidth<SPANCLASS="MATH">$a=1.25,lambda$
</SPAN>,where<SPANCLASS="MATH">
</SPAN>isthefree-spacedeBrogliewavelength,asafunctionoftheratiooftheheightofthebarrier,<SPANCLASS="MATH">
</SPAN>,totheenergy,<SPANCLASS="MATH">
</SPAN>,oftheincidentparticle."

No number for "Transmission(solidcurve)andreflection(dashedcurve)probabilitiesforasquarepotentialbarrierofwidth<SPANCLASS="MATH">$a=0.5,lambda$
</SPAN>,where<SPANCLASS="MATH">
</SPAN>isthefree-spacedeBrogliewavelength,asafunctionoftheratiooftheenergy,<SPANCLASS="MATH">
</SPAN>,oftheincomingparticletotheheight,<SPANCLASS="MATH">
</SPAN>,ofthebarrier."

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