Qhov Tseem Ceeb Qhov txawv - Topology vs Topography
Topology thiab topography yog ob lo lus uas feem ntau siv los ntawm ntau tus neeg hais lus Askiv. Txawm hais tias ob lo lus no zoo ib yam, lawv muaj lub ntsiab lus sib txawv heev. Topology muaj kev txhawj xeeb nrog cov khoom geometrical thiab spatial kev sib raug zoo uas tsis cuam tshuam los ntawm kev hloov pauv tsis tu ncua ntawm cov duab lossis qhov loj ntawm cov duab. Topography muaj kev txhawj xeeb nrog kev npaj ntawm lub ntuj thiab dag lub cev nta ntawm ib cheeb tsam. Qhov sib txawv tseem ceeb ntawm topology thiab topography yog qhov topology yog ib thaj chaw hauv kev ua lej whereas topography yog ib thaj chaw hauv thaj chaw.
Topology yog dab tsi?
Topology yog ib ceg hauv kev ua lej uas cuam tshuam nrog cov khoom ntawm qhov chaw uas tsis cuam tshuam los ntawm elastic deformations xws li ncab lossis twisting. Piv txwv li, lub voj voog yog topologically sib npaug rau lub ellipse vim nws tuaj yeem deformed los ntawm ncab. Nws kuj muaj kev txhawj xeeb txog kev kawm txog spatial nta xws li qhov chaw, nkhaus, thiab qhov chaw uas hu ua lub ntug.
Txoj haujlwm no hauv kev ua lej yog tsim los ntawm geometry thiab teeb tsa txoj kev xav, los ntawm kev txheeb xyuas cov ntsiab lus xws li qhov chaw, qhov ntev, thiab kev hloov pauv. Leonhard Euler's 1736 daim ntawv ntawm Xya Choj ntawm Königsberg yog suav tias yog ib qho ntawm thawj qhov kev siv ntawm topology.
Topology tseem muaj ntau qhov subfields xws li algebraic topology, general topology, differential topology, thiab geometrical topology.
Xya Choj ntawm Königsberg:
Lub nroog qub ntawm Königsberg muaj xya tus choj. Koj tuaj yeem taug kev hla lub nroog li cas, mus saib txhua lub nroog
thiab hla txhua tus choj tsuas yog ib zaug xwb?
Topography yog dab tsi?
Topography yog ib ceg ntawm thaj chaw, uas cuam tshuam nrog kev kawm ntawm cov yam ntxwv ntawm lub ntiaj teb thiab lwm yam khoom siv astronomical xws li hnub, hli, thiab cov ntiaj chaw. Cov kab lus topography ntawm ib cheeb tsam yog hais txog lub ntuj thiab dag lub cev nta ntawm ib cheeb tsam.
Lub hom phiaj tseem ceeb ntawm topography yog txhawm rau txheeb xyuas qhov tshwj xeeb ntawm thaj chaw, paub txog cov qauv hauv av ib txwm, thiab txiav txim siab txoj haujlwm ntawm txhua qhov tshwj xeeb siv latitudes, longitudes, thiab altitudes.
Hauv kev nkag siab nqaim, thaj chaw tsuas yog suav nrog kev nyem lossis thaj av, thaj av tshwj xeeb thiab thaj chaw peb sab. Daim ntawv qhia topographic yog daim ntawv qhia uas qhia txog cov yam ntxwv saum toj no. Cov yam ntxwv zoo li no tau sawv cev rau ntawm daim ntawv qhia siv ntau yam kev kawm nrog rau kev kho kom zoo nkauj, cov kab contour, thiab hypsometric tints. Muab hauv qab no yog ib qho piv txwv ntawm daim duab qhia chaw.
Qhov txawv ntawm Topology thiab Topography yog dab tsi?
Field:
Topology is a field of lej.
Topography yog thaj chaw ntawm thaj chaw.
Definition:
Topology yog kev kawm txog cov khoom geometrical thiab spatial kev sib raug zoo tsis cuam tshuam los ntawm kev hloov pauv tsis tu ncua ntawm cov duab lossis qhov loj ntawm cov duab.
Topography yog kev kawm txog kev npaj ntawm lub cev thiab khoom tsim lub cev ntawm ib cheeb tsam.
map:
Topology feem ntau tsis siv daim ntawv qhia.
Topography feem ntau siv daim ntawv qhia.
