Kev daws ntawm kev tsis sib npaug

Ib qho khoos kas hauv tsev kawm ntawv hauv kev ua lej nrog rau cov khoom sib xws ntawm kev tsis sib npaug. Lawv ncig lub tsev kawm ntawv txhua qhov: nyob rau hauv cov qauv, algebraic axioms thiab teeb meem. Kev tsis sib xws thiab kev daws cov teeb meem zoo li cas?

Kev tsis sib npaug yog tias nws muaj qhov sib txawv ntawm ob qho ntawm qhov kev qhia. Nyob rau hauv tag nrho, muaj ob hom: nruj thiab tsis nruj. Cov kev tsis sib npaug uas tsis yog yooj yim tso cai xaiv qhov uas lawv qhov sib npaug (qhov no, cov cim "ntau dua los yog sib npaug" thiab "tsawg dua los yog sib npaug"). Kev sib tw tsis sib xws tsis pub siv cov lus teb uas lawv qhov sib npaug. Hauv qhov no, kev daws teeb meem ntawm qhov sib npaug yog muaj cov cim "ntau dua", "tsawg" thiab "tsis sib npaug".

Feem ntau, qhov tsis sib npaug muaj ntau yam tseem ceeb hauv cov lus teb, xws li tag nrho ob qho tib si thiab ntau cov feem tsawg. Txhawm rau muab lo lus teb kom tiav thiab tsis muaj tseeb, sau tsis tau qhov tseem ceeb, tab sis lawv cov sij hawm. Txoj kev daws teeb meem ntawm kev tsis sib xws tshwm sim feem ntau los ntawm txoj kev ntawm cov kev sib txawv, qhov twg nws tau xyuas tias qhov twg ntawm qhov chaw sib koom tes ua tiav tag nrho cov kev cai uas tsim nyog los tsim qhov tseeb tsis sib xws. Cov lus teb tau muab sau rau hauv daim ntawv "tsis paub uas yog ib feem ntawm qhov chaw nrog cov cheeb tsam". Ib qho piv txwv ntawm cov ntaub ntawv teev lus teb yog x 7 (7; 10), qhov twg qhov parenthesis qhia txog kev sib txig sib luag, thiab cov ntsiab lus square qhia tias tsis yog nruj (uas yog, 10 yog ib qho ntawm cov lus teb tau tshwm sim, thiab 7 tsis yog.) Yog tias muaj ntau txoj kev daws teeb meem mus rau qhov tsis sib haum xeeb mus rau infinity Qhov kos npe ntawm infinity nyob rau hauv cov lus teb yog ib txwm faib nrog ib tug parenthesis.

Cov tsis sib npaug yog ntau yam, tab sis cov lus nug feem ntau tshwm sim nyob rau hauv ob qho: ob qho no yog kev daws teeb meem ntawm qhov tsis sib txig sib luag.

Yuav ua li cas yog irrational inequality? Qhov kev tsis sib xws, ib qho ntawm nws qhov chaw yog lub hauv paus ntawm txoj haujlwm. Nws zoo li qhov kev sib txig sib luag no tsis yooj yim rau ib tus tub ntxhais kawm tsis paub, thiab rau ntau tus tub ntxhais kawm ntawm cov chav kawm zauv. Txawm li cas los xij, txoj kev daws teeb meem ntawm qhov tsis sib npaug yog yooj yim heev: nws yog qhov tsim nyog kom tsa tag nrho cov kev tsis ncaj ncees rau lub hwj chim ntawm lub hauv paus uas yog ib feem ntawm nws qhov chaw. Nws yog ib qhov tsim nyog yuav tau ua tib zoo saib ib txoj cai: yog tias ib qho ntawm cov dej num tsis zoo, kev coj ua rau ib qho tseem ceeb ua rau tsis sib haum thiab ua kom txawv ntawm qhov qub los ntawm nws qhov tseem ceeb. Yog li ntawd, kev daws qhov tsis sib npaug yog ib qho ntawm lub sij hawm uas tus tsov ntxhuav txoj kev sib faib ntawm cov menyuam kawm ntawv thiab cov menyuam kawm ntawv tau yuam kev.

Kev daws ntawm qhov tsis sib npaug yog qhov tseem ceeb heev. Ib qhov tsis sib npaug yog ib qho ntawm ib qho ntawm qhov feem yog ib feem. Yuav ua li cas thiaj ua tau qhov kev txiav txim siab zoo ntawm cov feem sib npaug (fractional inequalities)? Tsuas pub ob sab ntawm qhov tsis sib xws los ntawm tus denominator ntawm ib qho ntawm cov dej num. Qhov no yuav coj qhov kev ua hauj lwm rau hauv daim ntawv yooj yim, uas tso cai rau koj kom sai thiab tsis muaj ntau yam dag zog los xam qhov muaj tseeb ntawm cov kev daws rau qhov tsis sib npaug.

Muaj ntau ntau hom kev sib npaug, thiab cov kev daws teeb meem ntawm ntau ntawm lawv sib txawv. Koj yuav tsum paub thiab muab qhov tseeb txoj kev daws lawv txhua txhua tus yuav tsum tau competently ua ib tug mob, sau cov lus teb thiab tau qhab nias rau kev ua hauj lwm. Dab tsi yog qhov kev daws teeb meem ntawm qhov tsis sib npaug thiab feem me? Ua ntej tshaj plaws, qhov tseeb tias kev simplification yog siv los daws cov teeb meem ntawm kev ua kom tsis muaj teeb meem (nyob rau hauv ib rooj plaub - hauv paus, nyob rau hauv lub thib ob - tus denominator ntawm cov kev ua). Yog li no, txhua tus menyuam kawm ntawv thiab tub ntxhais kawm ntawv yuav tsum nco ntsoov tias pom tsis pom zoo ntawm qhov tsis sib xws hauv paus los yog ib tus neeg ua lag luam, nws yuav tsum ua li cas thiab tsa ob feem ntawm qhov tsis sib haum xeeb rau qhov xav tau, los yog kom ob tog neeg tsis sib xws los ntawm tus denominator. Txoj kev daws txoj hauv kev no feem ntau ua haujlwm, tsuas yog rau kev ua haujlwm ntawm qhov tsis yooj yim (uas, los ntawm txoj kev, muaj tsawg kawg). Yog li ntawd, nws yuav hais tau tseeb nrog txoj kev daws teeb meem mus rau qhov sib npaug ntawm cov lus qhia saum toj no yuav muaj tseeb nyob rau hauv yuav luag ib puas feem pua ntawm cov neeg mob. Hmoov zoo ntawm koj cov kev tshawb fawb!