Txoj Cai Trapezoidal Ib Qhov Pom Thib Ob: qhov twg [a, b] muab faib ua n subintervals ntawm qhov sib npaug. CEEB TOOM: Txoj Cai Trapezoidal overestimates ib nkhaus uas yog concave thiab underestimates zog uas yog concave down.
Puas yog qhov nruab nrab txoj cai yog overestimate?
Yog tias daim duab yog concave rau lub trapezoid approximation yog ib qho overestimate thiab lub midpoint yog ib qho underestimate. Yog hais tias daim duab yog concave down ces trapezoids muab ib qho underestimatethiab qhov nruab nrab ntawm qhov overestimate.
Puas yog tus lej trapezoidal overestimate lossis underestimate?
Txoj cai trapezoidal tends to overestimate tus nqi ntawm ib qho tseem ceeb systematically nyob rau lub caij nyoog uas lub luag hauj lwm yog concave thiab kom underestimate tus nqi ntawm ib tug meej integral systematically nyob rau hauv lub intervals qhov twg muaj nuj nqi yog concave down.
Puas yog txoj cai trapezoidal tuaj yeem tsis zoo?
Nws ua raws li yog tias kev sib koom ua ke yog concave (thiab yog li muaj qhov zoo thib ob derivative), ces qhov yuam kev yog qhov tsis zoothiab txoj cai trapezoidal overestimates tus nqi tseeb.
txoj cai trapezoidal yog li cas?
Txoj cai trapezoidal siv cov txiaj ntsig muaj nuj nqis ntawm equispaced nodes. Nws yog yog qhov tseeb heev rau hauv- tegrals dhau lub caij nyoog, tab sis feem ntau yog qhov tsis raug hauv cov xwm txheej tsis raug.