Ko te āhuatanga o te taupū kōaro, ranei mīharo - i muri ki ...

puta te hiahia mō te rorohiko tangata i roto i tonu,, no te i taea e ki te ine i te taonga a tawhio noa ia ia. Ka taea te riro te reira e te arorau aro mātai ine āta arahina ki te te hiahia "tāpiri-tango" mo te momo o te tātaitanga. Ēnei kaupae ohie e rua he kī te tīmatanga - atu whawhe katoa ki tau mohiotia rite whakareatanga, wehenga, taupūtanga , me ētahi atu - he "mechanization" ohie o te tahi mau hātepe tātai, e hāngai ana ki tauhanga ohie - "korukoru-tango". Ko nga mea katoa i reira, engari ko te hanga o hātepe mō te rorohiko ko te paetae nui o whakaaro, a ake ake ka ratou kaituhi waiho ratou tohu i roto i te mahara o te taata nei.

E ono e whitu ranei mau tenetere i ma'iri i roto i te mara o te moana whakatere me te tātai arorangi kua nui haere te hiahia mō ngā moni nui o tātaitanga, e kore te mea maere e, mai Kei te mohiotia te reira ki te anotau Middle te whanaketanga o te whakatere me te tātai arorangi. I roto i te haapa'oraa i ki te "supply ahu tono" parau i rave rahi mathematicians te whakaaro - ki te whakakapi i te mahi tino mahi-kaha o whakanuia e rua tau te ohie tua (dually whakaaro te whakaaro ki te whakakapi i te wehenga i te tangohanga). whakaturia te putanga mahi o te pūnaha rorohiko hou i roto i te 1614 i roto i te mahi o Dzhona Nepera ki te taitara rawa faahiahia "Whakaahuatanga o te tepu mīharo o te taupū kōaro." O te akoranga, ka haere te whakapai ake o te pūnaha hou i runga i a i runga i, engari whakaturia nga āhuatanga taketake o te taupū kōaro i roto atu Ahuriri. Ko te whakaaro o te tātai pūnaha whakamahi i taupū kōaro i e ki te hanga i te raupapa o ngā tau i te haereraa āhuahanga, i whai ahua ai ano ratou taupū kōaro i te haereraa, engari tātai. I roto i te aroaro o nga tepu i mua-hangaia māmā tikanga hou o te whakataunga te tātaitanga, me te tuatahi ture kiriata (1620 tau) i pea tātaitai tawhito, me te tino pai tuatahi - he taputapu engineering mahuinga ia.

Hoki te painia i te ara tonu ki te kōruarua. I te tīmatanga, ko te taupū kōaro o te turanga kua tangohia pai, ka ko iti te tika tātaitanga, engari kua i roto i 1624 te tepu parakore ki te turanga ira i whakaputaina. E ahu mai ana te āhuatanga o te taupū kōaro i tino whakatau: taupū kōaro o te b - C ko te tau e, ka te tohu o te turanga taupū kōaro (tau A), hua i roto i te maha o te b. titiro Classic kōwhiringa tuhi rite: logA (b) = C - e lau e whai ake: b taupū kōaro, ki te turanga A, ko te maha o C. I roto i te tikanga ki te mahi i tētahi mahi mā te whakamahi i te kore e tino noa, te tau taupū kōaro, e hiahia ana koe ki te mohio i te huinga o ngā ture, e mohiotia ana ko "ngā āhuatanga taupū kōaro. " I roto i te parau tumu, ture katoa i te kupuroto noa - me pehea ki te tāpiri, tango, me te tahuri taupū kōaro. Na tatou e matau me pehea ki te mahi i reira.

kore taupū kōaro, me te kotahi

1. logA (1) = 0, he rite ki te 0 mō tetahi take te taupū kōaro o te maha o 1 - he hua tika o te tau whakaarahia ki te kore tohu.

2. logA (A) = 1, te taua taupū kōaro ki tau turanga ko 1 - Kei te hoki pai mohiotia pono mo tetahi maha o te mana tuatahi.

Addition me tango o te taupū kōaro

3. logA (m) + logA (n) = logA (m * n) - te moni o te taupū kōaro ko te taupū kōaro o te maha tau o mahi.

4. logA (m) - logA (n) = logA (m / n) - te rerekētanga o te taupū kōaro o te tau, rite ki te tetahi o mua, he rite ki te taupū kōaro o te ōwehenga o enei tau.

5. logA (1 / n) = - logA (n), he rite ki te "tango" te taupū kōaro o te kōaro o te taupū kōaro o tenei tau. Ko reira ngāwari ki te kite e ko te hua o te faaiteraa o mua 4 mō te m = 1 tenei.

Ko reira ohie ki te kite e rapua e te ture 3-5 i runga i ngā taha e rua o te turanga rangitaki taua.

Ko te taupū roto i ngā pānga pākoki

6. logA (MN) = n * logA (m), he rite ki te taupū kōaro o tenei tau, whakanuia e te n taupū te taupū kōaro o te maha o te tohu n.

7. roko (Ac) (b) = (1 / c) * logA (b), ko lau rite "te taupū kōaro o te b, ki te he te turanga te puka Ac, rite ki te hua o te taupū kōaro ki turanga b me He maha o whakamuri c».

taui Tātai turanga taupū kōaro

8. logA (b) = - logC (b) / logc (A), tātai kōaro o b ki te turanga A i te whakawhitinga ki te turanga C kei te rite te huawehe o te taupū kōaro ki turanga b C me C i te taupū kōaro ki te tau turanga rite ki te he turanga o mua, ai ki te tohu "tango".

Ko te taupū kōaro i runga, me o ratou āhuatanga tukua hoki ki te tono tika faaohie te tātaitanga o te huānga nui tau, reira whakaiti te wa o nga tātaitanga tau, me te whakarato tika manakohia.

Ehara i te mea maere e i roto i te pūtaiao, me te engineering āhuatanga o te taupū kōaro e whakamahia mo te kanohi tūturu ake o ari tinana. Hei tauira, whānuitia mohiotia ki te whakamahi i ngā uara whanaunga - waeoro ka whanganga kaha tangi, me te marama i roto i te ahupūngao, te nui tino i roto i te tātai arorangi i pH i roto i te matū me ētahi atu.

Miramira tätaitanga taupū kōaro ngāwari tirohia ki te tango, hei tauira, me ki tini tau e rima-mati 3 "ā" (i roto i te tīwae), mā te whakamahi i tepu o te taupū kōaro i runga i te pepa o te pepa, me te ture kiriata. Kati te reira ki te mea e i roto i te take whakamutunga, ka tango i te tātaitanga i runga i te kaha o te 10 hēkona aha te mea tino mīharo ko te meka e i roto i te tātaitai hou enei tātaitanga tango wa, e kore e iti iho.