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> Nizovi Brojeva..., ..ipak je forum Matematicke gimnazije...

Kipar
post May 8 2007, 08:27 PM
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nJetacno


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Grashak
post May 8 2007, 09:02 PM
Post #22





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QUOTE(Kipar @ May 8 2007, 08:27 PM)
nJetacno
*



lazes


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tijana
post May 8 2007, 11:04 PM
Post #23





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pa izgleda da laze...mada sve je moguce kad mu je ilija brat


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Iva
post May 9 2007, 07:50 AM
Post #24





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QUOTE
a to sa trouglovima je trivijalno! iva pobogu, da si slepac u mraku u crnoj sobi i trazis crnu macku koja zapravo uopste nije tamo provalio bi da je 58!

Zasto onda niko na forumu nije odgovorio?

I hajde zamislimo da sam slepac (nebitno da li je dan ili noc, ionako ne vidim), i da trazim crnu macku (kad shvatim kako ce mi pomoci u ovom trenutku). Sada te molim da me prosvetlis kako bih videla da je to 58..


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FootyStOrM
post Aug 3 2007, 10:39 PM
Post #25





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QUOTE(ser_fanky Lj@B @ Apr 30 2007, 10:33 AM)
4 8 15 16 23 42


XD.gif , da vas vidim  smile.gif
*


ovaj sam gledao minut i sinulo mi 94...(ali verovatno ne valja)

QUOTE(Kipar @ May 3 2007, 09:29 PM)
ko nastavi ovaj niz stvarno je keva... aj da vas vidim

1 8 17 23 47 42 54
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stvarno ste pavijani, ovde je sledeci 57 (ili 66 po drugoj logici) cool.gif , osim ako nema 23 resenja.... dry.gif


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Iva
post Aug 14 2007, 09:07 AM
Post #26





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No, pa hajde, da vidimo pravo resenje rolleyes.gif..


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Devojka sa mesecom u očima
post Aug 14 2007, 11:50 PM
Post #27





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I ja se prikljuchujem. Da vidimo to reshenje!!!!! eek.gif


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Thank goodness there are people like you in the world! You are tolerant and conscious of others, and people are generally drawn to your kind open demeanor. You give help when it is needed and enjoy the happiness of others. Sometimes you may have bad days, but you try not to take it out on other people. Your goodness inspires people to be the same way, and you know that your friends will do the same things for you that you do for them.
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Iva
post Aug 18 2007, 06:49 PM
Post #28





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Khm, rolleyes.gif, hajde, Kipre..


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Devojka sa mesecom u očima
post Aug 18 2007, 07:41 PM
Post #29





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Eeee pa nema nam Kipra vec nako vreme... bar ga ja ne vidjam na forumu. Mora da se mimoilazimo XD.gif


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Thank goodness there are people like you in the world! You are tolerant and conscious of others, and people are generally drawn to your kind open demeanor. You give help when it is needed and enjoy the happiness of others. Sometimes you may have bad days, but you try not to take it out on other people. Your goodness inspires people to be the same way, and you know that your friends will do the same things for you that you do for them.
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^_NiN0_^
post Aug 18 2007, 08:09 PM
Post #30


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Rekao je da nece dolaziti neko vreme. E, da bio je danas i post mu je izgledao ovako :
"xe xe xe xe" smile.gif


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Devojka sa mesecom u očima
post Aug 18 2007, 09:31 PM
Post #31





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Pametno nema shta... biggrin.gif


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Thank goodness there are people like you in the world! You are tolerant and conscious of others, and people are generally drawn to your kind open demeanor. You give help when it is needed and enjoy the happiness of others. Sometimes you may have bad days, but you try not to take it out on other people. Your goodness inspires people to be the same way, and you know that your friends will do the same things for you that you do for them.
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Iva
post Aug 19 2007, 10:36 AM
Post #32





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E.. ja kazem da je sledeci 58 (dakle ne 50).. ali posto ionako niko ne cita, nema potrebe da obrazlazem logiku, je l' da? rolleyes.gif.

I ajde vise Kipre..


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Iva
post Aug 28 2007, 03:30 PM
Post #33





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RESILA!!!

Elem, ... 54 58 75 78 93 95 115 116


I ajd sad da cujem da nije tacno!! il sam keva ili sam majstor za pronalazenje glupih tzv "slucajnosti"...

Ctrez u pripremi smile.gif tongue.gif


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Iva
post Aug 28 2007, 06:26 PM
Post #34





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Ne mogu da nađem edit button za prethodni post...

Elem:

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Opet crtam trouglove, kao i prvi put, s tim da ovde uočavam mnogo više pravilnosti nego ranije. U pitanju su totalno zapanjujuće pravilnosti, pa ko voli – nek izvoli.
Krećem s objašnjenjima od početka za slučaj da se neko tek sad priključuje i jer je tako jednostavnije. Dakle, brojeve sam složila na /\/\/\/\/ način, i povukla sam dve paralelne linije koje prolaze kroz tačke spajanja / i \ (iznad i ispod). Tako su nastali trouglovi.
Prvo posmatrajmo trouglove kod kojih se teme nalazi gore a osnovica dole (verovatno je matematički nepravilno rečeno, ali sad je bitno da se razume). Na krake tih trouglova sam upisala broj koji dobijemo kad se od drugog broja oduzme prvi (krećući od prvog broja u nizu idući ka napred, dakle prvi broj bi bio 17 i drugi 23, a razlika koja se upisuje na stranicu je 5). U osnovicu sam stavila broj koji se dobija kad se broj iz levog temena oduzme od onog iz desnog. Na taj način sam dobila zelene brojeve.
Ali dobro, idemo dalje. Prelazim sad na ljubičaste brojeve. Sada posmatramo „naopake“ trouglove, tj. one kod kod kojih se teme nalazu dole a stranica gore. Ljubičasti brojevi predstavljaju broj koji dobijamo kad od desnog broja oduzmemo levi (kao i kod prvih trouglova). Kod ovih brojeva primećujem jednu zanimljivu karakteristiku, a najlakše ćete razumeti šta je u pitanju ako pogledate drugi crtež.
user posted image
Treći trougao je nastao tako što sam za temena na osnovici uzela ljubičaste brojeve koji se nalaze jedni kraj drugih, a teme pri vrhu, tj. narandžasti broj je zbir ta dva ljubičasta broja iz temena. Kod narandžastih brojeva je zanimljivo to što su u to uzastopni brojevi, počev od 34 (dakle 34, 35, 36 etc).
Zatim sam povukla tirkiznu liniju koja spaja brojeve u osnovicama „suprotnih“ („gornjeg“ i „donjeg“) trouglova (linija koja prolazi kroz 16 9 15, 30 24 19 etc). Na linije sam između svaka dva broja napisala njihovu razliku, i to su tirkizni brojevi. Kod njih se primećuje sledeća pravilnost: drugi broj na prvoj liniji jednak je prvom broju na drugoj liniji, samo što je predznak suprotan (dakle ako imamo -6 na kraju prve, na početku druge imamo +6).
Ali, čak ni ovo nije sve! Ako pogledamo tamno crvene linije videćemo da one spajaju iste brojeve (doduše različitog predznaka). Zatim, jedva vidljiva svetlo žuta linija povezuje unatrag uzastopne pozitivne brojeve, dok tamno žuta linija pokazuje uzastopne negativne brojeve. Međutim, kod obe linije imamo iznimku: kod druge tamno crvene linije su brojevi suprotnog predznaka od ostalih u žutim nizovima.
Mislim da je to to, ali kako je krenulo vrlo verovatno postoji još nekih zanimljivosti smile.gif.

Konačno rešenje niza jeste, dakle:
1 8 17 23 47 42 54 58 75 78 93 115 116

E i još,
@all: zadržavam copyright © i autorska prava za ovo tongue.gif. E i, znam da nije baš najlepše nacrtano ali služi svrsi blush.gif

@Kipar: ajde sad još reci da nije tačno.. sleep.gif

@Grashak: kako bi ovo rešila bez trouglova? Baš me interesuje.

This post has been edited by Iva: Aug 28 2007, 06:30 PM


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Grashak
post Aug 28 2007, 09:19 PM
Post #35





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QUOTE(Iva @ May 9 2007, 07:50 AM)
Zasto onda niko na forumu nije odgovorio?

I hajde zamislimo da sam slepac (nebitno da li je dan ili noc, ionako ne vidim), i da trazim crnu macku (kad shvatim kako ce mi pomoci u ovom trenutku). Sada te molim da me prosvetlis kako bih videla da je to 58..
*




lol ovo sam tek sad videla...

a kako sam znala da je 58... pa ja sam prosto genijalna, samo mi je sinulo u mozgu smile.gif

cisto da se razumemo, moje resenje je mnooooogo prostije nego tvoje tongue.gif


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Iva
post Aug 28 2007, 09:22 PM
Post #36





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Da li bi po toj logici mogla da nastavis? smile.gif


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Devojka sa mesecom u očima
post Aug 28 2007, 10:07 PM
Post #37





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Chestitke za reshenje... josh samo Kipra da ulovimo XD.gif


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Thank goodness there are people like you in the world! You are tolerant and conscious of others, and people are generally drawn to your kind open demeanor. You give help when it is needed and enjoy the happiness of others. Sometimes you may have bad days, but you try not to take it out on other people. Your goodness inspires people to be the same way, and you know that your friends will do the same things for you that you do for them.
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Kuzman
post Aug 28 2007, 10:21 PM
Post #38





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Stvarno svaka chast mellow.gif surprise.gif


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Iva
post Aug 29 2007, 10:23 AM
Post #39





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Hvala blush.gif brojevi su svuda oko nas.. XD.gif

Nego, ja imam neki osecaj da on bas nece doci.. i kad dodje ne verujem da ce bas komentarisati nizove.. sad.gif let's sacrifice a chicken, just in case.. XD.gif


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Grashak
post Aug 29 2007, 10:46 AM
Post #40





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QUOTE(Iva @ Aug 28 2007, 09:22 PM)
Da li bi po toj logici mogla da nastavis? smile.gif
*




eheheh, dalji odgovori na ovu temu se naplacuju tongue.gif


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