Kpeɖodzi yeye siwo ɖee fia be Cantor fi Dedekind?

Hoʋiʋli Si Trɔ Egbegbe Akɔntabubu

Le akɔntabubu ŋutinya ƒe ŋutinyagbalẽwo me la, ƒomedodo ʋɛ aɖewo koe ɖee fia be wodzia vi le nunya gome — alo nyaʋiʋli le wo me — abe esi le Georg Cantor kple Richard Dedekind dome ene. Woƒe lɛtaŋɔŋlɔ le ƒe 1870 kple 1880 ƒeawo katã me na nukpɔsusu siwo trɔ asi le wo ŋu wu le akɔntabubu ƒe gɔmeɖoanyiwo me dometɔ aɖewo vɛ, tso xexlẽdzesi ŋutɔŋutɔwo tutu sesĩe dzi va ɖo ɖeɖefia si gbɔgbɔtsixe tsia ame ƒo be seɖoƒemanɔmanɔ ƒe lolome le vovovo dzi. Gake nyabiase aɖe si nɔ ʋuʋum le akɔntabubu ŋutinyaŋlɔlawo dome ƒe alafa ɖeka kple edzivɔe nye sia la gaxɔ ŋusẽ yeye nyitsɔ laa: ɖe Cantor xɔ kafukafu geɖe wu alesi wòdze, eye ɖe Dedekind xɔ kafukafu si mede nenema kura oa? Agbalẽnyalagãwo ƒe numekuku yeye le woƒe ame ŋutɔ ƒe lɛtaŋɔŋlɔ, asinuŋɔŋlɔgbalẽ siwo woŋlɔ, kple woƒe agbalẽwo ƒe ɣeyiɣikɔntabubu pɛpɛpɛ ŋu le zizim ɖe akɔntabubulawo dzi be woagbugbɔ alé ŋku ɖe amesi dzi nukpɔsusu siwo míegblɔna fifia be Cantor ɖeɖeko gbɔe wòtso le ŋugbledede kloe me la me ake.

Esia menye agbalẽnyalawo ƒe nyaʋiʋli dzro aɖe ko le etenuŋɔŋlɔwo ŋu o. Nyabiase si nye be ɖe Cantor fi adzo — alo ne mede ɖeke o la, wometsɔ kafukafu na Dedekind wòsɔ o — la dze alesi míedea nunya ƒe aƒetɔ nyenye asi na amewo, alesi nuwɔwɔ aduadu me mekɔna o va zua nusiwo woatsɔ awɔ dɔe, kple nusita nuŋlɔɖiwo kple nusiwo gbɔ wòtso le vevie le go ɖesiaɖe me, tso akɔntabubu dzadzɛ dzi va ɖo egbegbe asitsatsa dzi.

Nusi Ŋutinya me Nuŋlɔɖi la Gblɔ Na Mí Xoxo

| Le ƒe 1872 me la, ŋutsu eveawo siaa ta xexlẽdzesi ŋutɔŋutɔwo ƒe xɔtutuwo le wo ɖokui si — Cantor zã nusi woyɔna fifia be Cauchy ƒe ɖoɖowo, eye Dedekind zã eƒe "lãɖeɖe" xɔŋkɔwo. Gake lɛtaawo ɖee fia be Dedekind to eƒe xɔtutu si wotso la vɛ le ƒe 1858 me ke, ƒe 14 blibo hafi wotae, esime wònɔ akɔntabubu fiam le Polytechnic le Zürich.

Nusi ŋutinyaŋlɔlawo nya tso gbaɖegbe ke enye be Cantor nɔ te ɖe Dedekind dzi vevie le set theory ƒe wɔwɔme ƒewo me. Le lɛta aɖe si Cantor ŋlɔ na Dedekind le ƒe 1873 me mee Cantor bia nya gbã be ɖe woate ŋu atsɔ xexlẽdzesi ŋutɔŋutɔawo ade ɖeka ɖeka me kple dzɔdzɔmexexlẽdzesiawo hã. Menye ɖeko Dedekind de numekukua ƒe dzi ƒo ko o, ke ewɔ nu vevi aɖe si le bɔbɔe na Cantor ƒe kpeɖodzi gbãtɔ be womate ŋu axlẽ nu ŋutɔŋutɔwo o. Ke hã esi Cantor ta emetsonu ɖedzesi sia ɖe Crelle ƒe Journal me le ƒe 1874 me la, womeƒo nu tso Dedekind ƒe nudzɔdzɔa ŋu o.

Nu sia si woɖe ɖa la menye nusi dzɔ zi ɖeka o. Le agbalẽ geɖe siwo wota le ƒe 1870 kple 1880 ƒeawo ƒe nuwuwu katã me la, Cantor to susu siwo ŋu ɖikeke mele o vɛ le eƒe asitɔtrɔ kple Dedekind — siwo dometɔ aɖewoe nye cardinality ƒe ɖoɖowɔwɔ gbãtɔwo, denumerability ƒe nukpɔsusu, kple point-set topology ƒe wɔwɔme — evɔ mena lɔlɔ̃ ɖe edzi si ƒomevi egbegbe sukudede ƒe dzidzenuwo abia o.

Kpeɖodzi Yeyea: Asiŋɔŋlɔ ƒe Ɣeyiɣikɔntabubu Kple Agbalẽ Siwo Wometa O

| Ŋutinyaŋlɔlawo de dzesi asinuŋɔŋlɔgbalẽ siwo woŋlɔ ɖe Dedekind si me siwo gblɔ ƒuƒoƒo-nukpɔsusu veviwo — siwo dometɔ aɖewoe nye nusi ava zu nukpɔsusu si nye be ƒuƒoƒo aɖe nye seɖoƒemanɔsitɔ nenye be woate ŋu atsɔe ade vovototodedeameme me kple eɖokui ƒe hatsotso sue aɖe si sɔ eye nenye be woate ŋu atsɔe ade vovototodedeameme me kple eya ŋutɔ ƒe hatsotso sue aɖe ko — si tso ɣeyiɣi siwo hafi Cantor ta emetsonu siwo sɔ kplii.

Ewɔ nuku ŋutɔe nye nuŋlɔɖi siwo wowɔ tso ƒe 1874 va ɖo ƒe 1877 me si me Dedekind ŋlɔ susuwo tso anyigbatatawo ŋu le "ŋusẽ" vovovowo ƒe hatsotsowo dome (nusi míeyɔna fifia be cardinalities). Nuŋlɔɖi siawo do ŋgɔ na Cantor ƒe agbalẽ si wòta tso nukpɔsusu mawo ke ŋu ƒe geɖe. Togbɔ be Dedekind tiae be yeaxe mɔ ɖe agbalẽtata nu — eƒe akpa aɖe tso eƒe blibodede didi si ŋu nya wogblɔna le xotutu me ta eye eƒe akpa aɖe tso esi wòse le eɖokui me be susuawo meɖo nɔnɔme si naa dzidzeme ame me haɖe o hã la — Cantor, amesi si susu siawo su to woƒe lɛtaŋɔŋlɔ me la, ʋu kabakaba be yeata agbalẽ.

Ɣeyiɣi ƒe ɖoɖoa nye fiƒode le eƒe tẽnyenye me. Agbalẽnyalagãwo wɔ anyigbatata na nudzɔdzɔ vovovo adre ya teti le ƒe 1873 kple 1885 dome afisi nukpɔsusu aɖe dze gbã le Dedekind ƒe ame ŋutɔ ƒe nuŋlɔɖiwo alo lɛta siwo wòŋlɔ na Cantor me, eye emegbe wòdze le Cantor ƒe agbalẽ siwo wòta me le ɣleti 6 va ɖo 18 me — nyayɔyɔ aɖeke manɔmee.

Afififi alo Nuwɔwɔ aduadu ƒe Afu?

Hafi míaƒu du abu fɔ Cantor la, ele vevie be míase ƒe alafa 19 lia me akɔntabubu ƒe nunya dekɔnuwo gɔme. Womewɔ ɖoɖo ɖe nyayɔyɔ kple nusiwo wogblɔ be wotso nya me ƒe dzidzenuwo ŋu le se nu kura o wu alesi wole egbea. Numekugbalẽ ƒe ɖoɖo siwo woɖo ɖe ɖoɖo nu menɔ anyi o, hatiwo ƒe numetoto ƒe ɖoɖo aɖeke menɔ anyi abe alesi míenya wo ene o, eye liƒo si le "dzeɖoɖo aɖe si ʋã" kple "susu aɖe si wodo" dome la me mekɔ tututu o. Akɔntanyalagãwo ma susuwo edziedzi le lɛtawo me kple gɔmesese si me kɔ be agbalẽtata ƒe gomenɔamesiwo nye amesiame si ŋlɔ agbalẽa tɔ.

ƒe nyawo

"Menye susuawo ŋutɔe hea vovototo si le nunya ƒe ŋusẽkpɔɖeamedzi kple nunya ƒe fififi dome o, ke boŋ nuŋlɔɖi ƒe mɔ si ƒo xlã woe. Ne nuŋlɔɖi siwo me kɔ meli o la, nyaʋiʋli siwo ku ɖe nusiwo wotsɔ ɖo nɔƒe gbãtɔ ŋu va zua gɔmeɖeɖe ƒe nya — eye zi geɖe la, gbeƒãɖela si dzideƒo wu la xɔa ŋutinya me kafukafua."

ƒe nyawo

Cantor ƒe taʋlilawo ʋlia nya be etrɔ Dedekind ƒe ŋkuléleɖenuŋu ƒe nu xoxowo wòzu nukpɔsusu si wowɔ ɖe ɖoɖo nu — be Dedekind na nukuwo, gake Cantor tu abɔa. Nyateƒe le esia me: Cantor ƒe ƒe 1895–1897 Beiträge zur Begründung der transfiniten Mengenlehre tsi tre ɖi na ŋkuɖodzinu gbogbo aɖewo siwo wotsɔ ƒo ƒui si yi ŋgɔ sasasã wu nusianu si Dedekind ŋlɔ. Gake kpeɖodzi yeyeawo ɖee fia be nukuawo wɔ bliboe wu alesi wokpɔe dze sii tsã, eye Cantor ƒe kpododonu le wo dzi xɔxɔ me nye, ne mede ɖeke o la, agbenyuinɔnɔ ƒe vodada ɖedzesi aɖe le ɣeyiɣi ɖesiaɖe ƒe dzidzenuwo nu.

Nusita Dedekind Nɔ Ðoɖoe

Ŋutinya sia ƒe akpa siwo doa dzidzɔ na ame wu dometɔ ɖekae nye Dedekind ŋutɔ ƒe ŋuɖoɖo — alo ne míagblɔe tututu la, eƒe ɖeka ƒe anyimanɔmanɔ. Togbɔ be kpeɖodzi geɖe nɔ Dedekind si be eya ŋutɔ tsɔe ɖo nɔƒe gbãtɔ hã la, metso Cantor nu le dutoƒo gbeɖe be efi fifi o. Nu geɖewo kpena ɖe ame ŋu be woaɖe mɔxexeɖedɔ sia me:

ƒe nyawo
• Dzidzedze ƒe vovototo: Dedekind nye ame si meɖea eɖokui ɖe aga o, ewɔa nu ŋudɔ nyuie, eye wònye ame ŋutɔ tɔ vevie. Cantor nye ame si di vevie be yeaxɔ ŋkɔ, ewɔa dɔ geɖe, eye wòdi vevie be woade dzesi ye le akɔntabubu ƒe dɔwɔƒe aɖe si gbea yeƒe dɔa zi geɖe.
• Dɔwɔƒe ƒe afɔku: Cantor zã eƒe dɔwɔwɔ ƒe akpa gãtɔ le Halle Yunivɛsiti, si nye dɔwɔƒe si le ɖoƒe evelia, eye wòdo go tsitretsiɖeŋu vɔ̃ɖi tso Leopold Kronecker gbɔ. Dedekind, si woɖo anyi bɔbɔe le Brunswick Polytechnic la, ate ŋu ase le eɖokui me be nyaʋiʋli aɖe si woatsɔ aɖo nɔƒe gbãtɔ anɔ ye te.
• Nuwɔwɔ ɖe wo nɔewo ŋu: Togbɔ be gaxɔgbalẽviwo meda sɔ o hã la, ŋutsu eveawo siaa de asixɔxɔ ƒomedodoa ŋu. Dedekind ƒe ƒe 1888 ƒe aɖaŋudɔ Was sind und was sollen die Zahlen? tu ɖe susu siwo woto vɛ ɖekae dzi, eye dutoƒonyaʋiʋli aɖe aƒo ɖi domenyinu eveawo siaa.
• Agbalẽtata ƒe xexemenunya: Dedekind xɔe se be ne woɖo nɔnɔme si me kɔ bliboe eye wode blibo me ko hafi woata susuwo. Etiae tẽ be yemata emetsonu geɖe siwo wòbu be wonye ɣeyiɣi kpui aɖe ƒe nuwɔna o. Le eƒe nukpɔsusu nu la, susu aɖe si womeɖe ɖe go haɖe o la mesu te na xexeame haɖe o.

ƒe nyawo

Ðewohĩ nya mamlɛtɔ siae nye esi wɔ dɔ ɖe ame dzi wu. Dedekind ŋutɔ ƒe blibodede didie na be ƒuƒlu si Cantor yɔ la va. Kpeɖodzi yeyeawo meɖea ame vɔ̃ɖi aɖe fiana boo o, ke boŋ eklẽna ɖe xɔtuɖaŋu ƒe kuxi aɖe dzi: ne nuŋlɔɖi ƒe ɖoɖo siwo me kɔ ƒe anyimanɔmanɔ me la, zi nenemae gbeƒãɖela si wɔa dɔ geɖe wu la xɔa kafukafua, eɖanye amesi si susua nɔ gbã o.

Nusi Esia Gblɔ na Nunya ƒe Nɔnɔme Egbea

Cantor-Dedekind ƒe nya la ɖina yi ŋgɔ sasasã wu akɔntabubu ƒe ŋutinya. Le nuwɔwɔ aduadu ƒe akpa ɖesiaɖe me — tso dzɔdzɔmeŋutinunya me numekuku dzi va ɖo kɔmpiutadziɖoɖowo wɔwɔ dzi va ɖo asitsatsa ƒe aɖaŋuɖoɖo dzi — nyabiase si nye amesi dzɔ susu aɖe vɛ kple amesi wɔe ko la gbɔ kpɔkpɔ gakpɔtɔ sesẽ ŋutɔ. Egbegbe sukudede ƒe ɖoɖoa wɔ ɖe edzi kple dzidzenu siwo le sesẽm ɖe edzi ƒo xlã nyayɔyɔ, agbalẽŋɔŋlɔ ɖekae, kple agbalẽ siwo wota do ŋgɔ siwo woate ŋu akpɔ le gaglãgbe. Gake le asitsatsa ƒe xexeame, afisi ƒuƒoƒowo wɔa dɔ aduadu gbesiagbe le dɔ siwo wowɔna ɖekae me la, kuxia gakpɔtɔ li.

Bu alesi asitsatsa ŋuti nyametsotso vevi geɖewo, adzɔnuwo ƒe nu yeyewo dodo ɖe ŋgɔ, kple aɖaŋu ƒe tɔtrɔwo dona tso dzeɖoɖo siwo womewɔ le ɖoɖo nu o me ŋu kpɔ — Slack gbedasi aɖe le afisia, whiteboard session le afima, nya aɖe si wogblɔ le kpekpe aɖe me. Ne womewɔ nuŋlɔɖi ɖe ɖoɖo nu o la, zi geɖe la, amesi ŋlɔa nyatakaka mamlɛtɔ alo gblɔa nuƒo mamlɛtɔa xɔa kafukafua, evɔ amesi he susua vɛ ya nu yina. Esia nye Dedekind ƒe kuxia le dɔwɔƒe ƒe nɔnɔme me.

Egbegbe mɔ̃wo abe Mewayz ene kpɔa kuxi sia gbɔ to ƒuƒoƒo ƒe nuwɔwɔ aduadu, dɔa ŋuti nuŋlɔɖiwo, kple dɔwɔwɔ ƒe ɖoɖowo yometiti ƒe ɖoɖowɔwɔ ɖe ɖoɖo ɖeka me. Esi wònye be modules 207 siwo wotsɔ wɔ ɖekae siwo ku ɖe CRM, dɔa dzikpɔkpɔ, ƒuƒoƒo ƒe kadodo, kple numekuku ŋu ta la, woŋlɔa nudzɔdzɔ ɖesiaɖe ƒe ŋkɔ, dea ɣeyiɣi ƒe dzesi, eye woate ŋu agblɔe tso eŋu. Ne ƒuƒoƒoa me tɔ aɖe do aɖaŋu aɖe ɖa le dɔa ŋuti nuŋlɔɖi aɖe me la, nuŋlɔɖi ma gakpɔtɔ nɔa anyi. Ne wotrɔ asi le dɔwɔwɔ ƒe ɖoɖo aɖe ŋu la, tɔtrɔ ŋutinyaa ɖea amesi wɔ asitɔtrɔa kple ɣekaɣie fiana. Vovototo si ƒomevi le attribution me si ɖe fu na Dedekind ƒe alafa ɖeka kple edzivɔ la va zua nusi mateŋu adzɔ le xɔtuɖoɖo me ne wotu nuŋlɔɖi ƒe xɔtuɖoɖoa ɖe mɔ̃a ŋutɔ me o.

Cantor ƒe Domenyinu Gbugbɔgadzro

Esiawo dometɔ aɖeke meɖea Georg Cantor ƒe nunya vavãtɔ dzi kpɔtɔna o. Eƒe nyaʋiʋli si le axadzi le ƒe 1891 me, eƒe xexlẽdzesi siwo le ɖoɖo nu kple esiwo seɖoƒe li na ƒe wɔwɔme, kple eƒe nukpɔsusu si nye continuum gakpɔtɔ nye dzidzedzekpɔkpɔ kɔkɔ siwo ŋu eƒe nuwɔwɔ ƒe dzesi tɔxɛ le. Nyabiase si kpeɖodzi yeyeawo fɔ ɖe te menye nenye be Cantor nye akɔntanyala gã aɖe o — ɖikeke mele eme o be enye akɔntanyala gã aɖe — ke boŋ nenye be woɖe ŋutinya me nuŋlɔɖia ɖe vovo madzemadzee.

Wova le dzesi dem Dedekind ƒe akpa siwo wòwɔ le akɔntabubu ƒe gɔmeɖoanyiwo me be wonye gɔmeɖoanyi le gɔmesese ŋutɔŋutɔ nu. Eƒe xexlẽdzesi ŋutɔŋutɔwo tutu to lãɖeɖe me gakpɔtɔ nye mɔnu si wozãna ɖaa le egbegbe numekuku gbalẽwo me. Eƒe xexlẽdzesiwo ŋuti nufiafia si le algebra me kpɔ ŋusẽ ɖe akɔntanyala ƒe dzidzimewo dzi tso Emmy Noether dzi va ɖo André Weil dzi. Eye eƒe set-theoretic insights, siwo woŋlɔ ɖi bliboe fifia to nudzraɖoƒe ƒe kpeɖodziwo dzi la, ɖe nuŋubula aɖe si menye Cantor ƒe nyadzɔdzɔŋlɔla dzro aɖe ko o ke boŋ eƒe nunya si sɔ kplii — eye, le go aɖewo me la, amesi do ŋgɔ nɛ la fia.

Menye domenyinu ɖeka gbãgbã be woatu bubu ɖo ŋue wogbugbɔa ŋku lé ɖe eŋu o. Eku ɖe alesi tɔtrɔ kpata ƒe susuwo tsina ŋutɔŋutɔe gɔmesese si sɔ wu gbɔ ɖoɖo ŋu: menye le nunya ƒe ɣeyiɣi siwo sa ɖe aga me o, ke boŋ to dzeɖoɖo si nɔa anyi ɖaa, ŋusẽkpɔɖeamedzi ɖe wo nɔewo dzi, kple nukpɔsusu siwo wozãna ɖekae ƒe asitɔtrɔ vivivi me. Nublanuinya lae nye be nuŋlɔɖi ƒe nuŋlɔɖia mebɔ akpa, eye agbalẽtata ƒe ɖoɖowo me mekɔ akpa o, be woate ŋu alé nuwɔwɔ aduadu ƒe nyateƒenya sia le ɣeyiɣi ŋutɔŋutɔ me.

Nusɔsrɔ̃wo na Xexeme si me Nuŋlɔɖi Gbãtɔ le

Cantor-Dedekind ƒe nyaʋiʋlia na nufiame sẽŋu aɖe si keke ta yi ŋgɔ wu agbalẽnyanya. Le ɣeyiɣi si me nunya ƒe nunɔamesiwo ŋuti nyaʋiʋliwo ate ŋu atso nya me le adzɔhawo kple dɔwɔɖuiwo ƒe dzɔgbese ŋu me la, womate ŋu agblɔ nuŋlɔɖi sesẽ siwo le ɣeyiɣi ŋutɔŋutɔ me ƒe vevienyenye wòagbɔ eme o. Nuwɔwɔ aduadu ɖesiaɖe hea susuwo vɛ, eye susu ɖesiaɖe ƒe dzɔtsoƒe le esi. Habɔbɔ siwo akpɔ dzidzedze la anye esiwo alé afisi wotso ma abe nusi dzɔna ɖaa ene — menye abe nusi ŋu wobu le emegbe ene o, ke boŋ abe alesi wowɔa dɔe ƒe nɔnɔme si wotsɔ de eme ene.

Le asitsaha 138,000 siwo zãa Mewayz xoxo tsɔ le woƒe dɔwɔnawo dzi kpɔm gome la, wotu gɔmeɖose sia ɖe gbesiagbedɔwo me. Asitsalawo ƒe kadodo ɖesiaɖe si woŋlɔ ɖe CRM la me, adzɔxegbalẽvi ɖesiaɖe si wowɔ, dɔa ƒe nu vevi ɖesiaɖe si wokplɔ ɖo la wɔa nuŋlɔɖi si nɔa anyi ɖaa, si woate ŋu adi le amesi tsɔ nusi kple ɣekaɣi la ŋu. Le gɔmesese aɖe nu la, enye xɔtuɖaŋu si menɔ Dedekind si kpɔ o — ɖoɖo si kpɔa egbɔ be nudzɔdzɔ siwo me nunya le mebu ɖe ame ŋutɔ ƒe nuŋlɔɖigbalẽwo me o, si le lalam ƒe alafa ɖeka kple edzivɔ be woakpɔe adze sii.

Ðewohĩ ŋutinya matso afia si ŋu kakaɖedzi le gbeɖe le nenye be Cantor fi Dedekind fifi ŋu o. Kpeɖodzi yeyeawo trɔa nudanuawo, gake nyateƒe bliboa le ƒe alafa 19 lia me xɔlɔ̃wɔwɔ aɖe si wowɔ to lɛta siwo woŋlɔ kple asi kple dzeɖoɖo ŋkume kple ŋkume si nudzraɖoƒe aɖeke mate ŋu agbugbɔ atu ɖo me o ƒe nusiwo menya kpɔna dzea sii bɔbɔe o la me. Gake nusi míate ŋu asrɔ̃ la me mekɔ o: woŋlɔ nusianu ɖi, nàdo ga na amewo dɔmenyotɔe, eye míatu ɖoɖo siwo ana be nusiwo gbɔ wòtso be woagblɔe le wo ɖokui si. Dedekind si kplɔe ɖo dze na nusi nyo wu.

Nyabiase Siwo Wobiana Enuenu

Kpeɖodzi kawoe ɖee fia be ɖewohĩ Cantor fi Dedekind?

| Ŋutinyaŋlɔlawo fia asi ɣeyiɣi ƒe vovototo siwo le Dedekind ƒe asinuŋɔŋlɔgbalẽ siwo wometa haɖe o kple Cantor ƒe agbalẽ siwo wòta emegbe dome, tsɔ kpe ɖe woƒe lɛtawo ƒe akpa aɖewo siwo me Dedekind gblɔ susu vevi siwo va dze emegbe le Cantor ƒe agbalẽa me evɔ womegblɔ be wotso wo gbɔ nyuie o.

Aleke Cantor kple Dedekind dome ƒomedodoa kpɔ ŋusẽ ɖe egbegbe akɔntabubu dzi?

Woƒe nuwɔwɔ aduadu kple hoʋiʋli ye trɔ asi le egbegbe akɔntabubu ƒe gɔmeɖoanyiwo ŋu vevie. Dedekind ƒe xexlẽdzesi ŋutɔŋutɔwo tutu sesĩe to lãɖeɖe me kple Cantor ƒe transfinite set theory toto vɛ ɖekae ɖo ɖoɖo si dzi egbegbe akɔntabubuwo katã kloe nɔ te ɖo. Woƒe asitɔtrɔ le seɖoƒemanɔmanɔ, nusiwo yia edzi, kple akɔntabubu ƒe nuwo ƒe nɔnɔme ƒe nukpɔsusu ŋu he nyaʋiʋli siwo yi edzi le numekuku wɔm le susuŋudɔwɔwɔ, akɔntabubu ƒe xexemenunya, kple gɔmeɖoanyi nusɔsrɔ̃wo me egbea.

Nukatae adzodada ŋuti nyaʋiʋlia gafɔ ɖe te fifia?

| Nuŋɔŋlɔwo me dzodzro ƒe dɔwɔnu deŋgɔwo kple cross-referencing mɔnuwo hã na wòle bɔbɔe be woadi nukpɔsusuwo ƒe sisi le akɔntanyala eveawo dome. Nu yeye siawo siwo ŋu woke ɖo la gade dzo agbalẽnyalawo ƒe ɖetsɔleme me eye wòna wota agbalẽ geɖe siwo me woto hatiwo me gbugbɔ lé ŋku ɖe Cantor ƒe nudzɔdzɔwo ƒe gɔmedzedze ŋu.

Afikae mateŋu akpɔ nyati siwo de to wu tso akɔntabubu kple nunya ŋutinya ŋu?

Sukunyawo ŋuti magazinewo, yunivɛsiti ƒe nudzraɖoƒewo, kple dijitaal agbalẽdzraɖoƒe siwo wodzra ɖo nye gɔmedzedze nyuiwo na numekuku si me wowɔa nu goglowo le. Le eŋutinunyalawo kple nyatakakawo wɔlawo siwo le didim be yewoata yewo ŋutɔ yewoƒe hehenana nyatakakawo ahakpɔ wo dzi nyuie gome la, Mewayz naa asitsatsa ƒe OS si me module 207 le si dzea egɔme tso $19/mo si me blogg, SEO dɔwɔnuwo, kple nyaselawo dzikpɔkpɔ le — nusianu si hiã be woatu sidzedze ƒe mɔnu si ŋu ŋusẽ le.