ෆර්මාගේ අවසන් ගැටළුව

[Persius]

මේක තමා ඒ Documantryය මරුනේ..

 

[GoldHeart]

පරිමේය, nikila.......shik dan me wachana mathaka naaaaa ban.... e nisa terenne naaaaaaa.........

 

[DonDuli]

bump

 

[cala94]

 

[B_i_n_g_o]

එල. +5

 

[Nisala88]

good post machan
machan dannawada P vs NP sameekaranaya gena

 

[Persius]

P vs NP Problem

Suppose that you are organizing housing accommodations for a group of four hundred university students. Space is limited and only one hundred of the students will receive places in the dormitory. To complicate matters, the Dean has provided you with a list of pairs of incompatible students, and requested that no pair from this list appear in your final choice. This is an example of what computer scientists call an NP-problem, since it is easy to check if a given choice of one hundred students proposed by a coworker is satisfactory (i.e., no pair taken from your coworker's list also appears on the list from the Dean's office), however the task of generating such a list from scratch seems to be so hard as to be completely impractical. Indeed, the total number of ways of choosing one hundred students from the four hundred applicants is greater than the number of atoms in the known universe! Thus no future civilization could ever hope to build a supercomputer capable of solving the problem by brute force; that is, by checking every possible combination of 100 students. However, this apparent difficulty may only reflect the lack of ingenuity of your programmer. In fact, one of the outstanding problems in computer science is determining whether questions exist whose answer can be quickly checked, but which require an impossibly long time to solve by any direct procedure. Problems like the one listed above certainly seem to be of this kind, but so far no one has managed to prove that any of them really are so hard as they appear, i.e., that there really is no feasible way to generate an answer with the help of a computer. Stephen Cook and Leonid Levin formulated the P (i.e., easy to find) versus NP (i.e., easy to check) problem independently in 1971.

 

[Persius]

Article related to P versus NP problem


http://en.wikipedia.org/wiki/P_versus_NP_problem

 

[luxmen]

hm thani pituwakin denna nm oya daksheyek bawa awiwaden pilganna wenawa. mn ahala thiyana hetiyata thamath eka ganitha loketa wiwurthai. oya oya sadane ayeth balala. oka mehe maths department eka hari e adala ekakata pennanna.oyata suba pathanwa,

---------Mama oyata mama gana podi hadinvemak karannam. Mama kawadawath tuition class ekakata gihilla naha. A wagema igena gatthe godak problems maddhe. Mama oyata mage Advance level results kiyannam--------Applied maths ---A-----------Pure maths --C------------Chemistry--C-------------Physics--C--------------------A wagema oya dannawa athine Peradeniye university eke maths professor Samual. Sir dena saamahara maths problems mama venas vidiyata solve karana velawal thibuna. Big prize ekak denawadha , Perma last theorem ketiyen solve kaloth ?

 

[conzy]

good post!
++

 

[Persius]

---------Mama oyata mama gana podi hadinvemak karannam. Mama kawadawath tuition class ekakata gihilla naha. A wagema igena gatthe godak problems maddhe. Mama oyata mage Advance level results kiyannam--------Applied maths ---A-----------Pure maths --C------------Chemistry--C-------------Physics--C--------------------A wagema oya dannawa athine Peradeniye university eke maths professor Samual. Sir dena saamahara maths problems mama venas vidiyata solve karana velawal thibuna. Big prize ekak denawadha , Perma last theorem ketiyen solve kaloth ?

ayeth a prize eka denawada nedda kiyana eka ithin intreanational prashanyak.eth thamath thani pituwen sadana denna lokayat wiwurthai kiyala thama kiyanne, wedak ketiyen lesiyen karanna puluwan nm minissu kemathine

 

[Tom Riddle]

---------Mama oyata mama gana podi hadinvemak karannam. Mama kawadawath tuition class ekakata gihilla naha. A wagema igena gatthe godak problems maddhe. Mama oyata mage Advance level results kiyannam--------Applied maths ---A-----------Pure maths --C------------Chemistry--C-------------Physics--C--------------------A wagema oya dannawa athine Peradeniye university eke maths professor Samual. Sir dena saamahara maths problems mama venas vidiyata solve karana velawal thibuna. Big prize ekak denawadha , Perma last theorem ketiyen solve kaloth ?

අවුරුදු 358ක් තිස්සෙ මුලු ලෝකෙම ඉන්න දක්ෂම ගණිත මහාචාර්යවරු තමන්ගෙ මුලු ජීවිතේම කට්ට කාලා මහන්සි වෙලා සාධනය කරන්න බැරි වෙච්ච දෙයක් උබ සාධනය කරා පිටුවෙන්??

උඹ ඒක එලියට දාන්නෙ නෑ උඹට ලොකු තෑග්ගක් දෙනකන්?

 

[peter001]

අවුරුදු 358ක් තිස්සෙ මුලු ලෝකෙම ඉන්න දක්ෂම ගණිත මහාචාර්යවරු තමන්ගෙ මුලු ජීවිතේම කට්ට කාලා මහන්සි වෙලා සාධනය කරන්න බැරි වෙච්ච දෙයක් උබ සාධනය කරා පිටුවෙන්??

උඹ ඒක එලියට දාන්නෙ නෑ උඹට ලොකු තෑග්ගක් දෙනකන්?

eka thama maath baluwe

 

[ITapathaya]

apahu A/L kaleta giya wage danuna habai dannam mata oya kisi deyak mathaka nah... anywy Good post machoo

 

[luxmen]

Hari machan mava visvasa karanna. Mama meka thani pituwak oneth naha . Pitu 1/2 . Mama oppu karanawa. Mokada kiyanne. But mama meka pitu 1/2 n oppu kalama vena kenek copy karala eyage name eka da gannawata mama kamathi naha. A vagema mekata money prize ekak dunnoth hodai kiyala hithenawa. Willis pitu gananawak spend karala parangiya kotte giya wage prove ekak dunnata man ta 50,000 USD donate kalanam, Mata 10000 USD wath dunnoth paw siddha venne naha nedha ? Mata e vagema mathematician la gana kanagatuwak hithenawa , lesiyen solve karanna thibuna perma last theorem eka williya ANAGENA. Ane habata uta 50000 usd prize ekakuth dunna nedha ? Hah ha ha ha , perma hitiyanam mamath ekka ekata hina venne.

 

[Dokolla]

thawa dapan me wage thread.. REP++

 

[anrdeknyke]

Hari machan mava visvasa karanna. Mama meka thani pituwak oneth naha . Pitu 1/2 . Mama oppu karanawa. Mokada kiyanne. But mama meka pitu 1/2 n oppu kalama vena kenek copy karala eyage name eka da gannawata mama kamathi naha. A vagema mekata money prize ekak dunnoth hodai kiyala hithenawa. Willis pitu gananawak spend karala parangiya kotte giya wage prove ekak dunnata man ta 50,000 USD donate kalanam, Mata 10000 USD wath dunnoth paw siddha venne naha nedha ? Mata e vagema mathematician la gana kanagatuwak hithenawa , lesiyen solve karanna thibuna perma last theorem eka williya ANAGENA. Ane habata uta 50000 usd prize ekakuth dunna nedha ? Hah ha ha ha , perma hitiyanam mamath ekka ekata hina venne.

perma neme ban fermat
ela uba methana oka kiyala wadak na oka media walata prasidda karapan. ethakota salli dena un nikamma salli dei..elakiri eke kiwata wadak nane

 

[Madhur1202]

ela

 

[Persius]

bump //kk thawa mewage dewal dannm .. mewagena sinhalen ghpu poth pawa thiyenawa. lassana nam walin .. harima lassanai... thawath mewage dewal denagnna one nm ARA VIDUSARA kiyala paththare aran balannath puluwan.ekanm godak watin paththarayak ,,

kohomahari me wage dewal gena denagnna eka watinawa... mewage godak ganitha gatalu wasadeema wala thiyena samahara katha harima dukai . ewa genath issarahata danna balapaoroththuwenawa,

menna me mathematician pem palahilawwak nisa maruma kewa knk .. eth meya maranne kalin karapu de nisa sada amaraneeya una ,

mn article eka danakan inna beri nm wiki eke thiyan article eka hari kiyawala balnna
eyage nama Évariste Galois

 

[Persius]

ෆර්මා ගෙන තවත් දේවල්


ෆර්මා ගෙන තවත් දේවල් දැනගන්න කට්ටිය කැමති බව තෙරුණා.

ආචාර්ය කීර්ත් ප්‍රේමදාසගේ “ලොව කැළඹු ගණිත ගැටලු කියන පොතේ ගොඩක් විස්තර තියෙනවා. මෙ ඉන් ටිකක්




ෆර්මා අනෙක් ගණිතයන් මෙන් වෘත්තීමය ගණිතඥයෙක් නෙමේ. ඔහු වෘත්තියෙන් නීතඥයෙක්. ඒක නිසාම ඔහුව “Prince of Amateurs” කියලත් හඳුන්වනවා. ඔහුගේ ප්‍රමේයයට අවුරුදු 357ක් තිස්සේ විවිධ වූ සාධන ඉදිරිපත් වුණා. එසේ ලැබුණු වැරදි විසඳුම් නිසා ගණිතයට අලුත් දේවල් එකතු වුණා. එසේ ඉදිරිපත් කළ වැරදි සාධනයක් නිසා Ideal සංකල්පය බිහි වුණා. අන්තිමේදී ෆර්මාගේ ප්‍රමේයයටත් වඩා Ideal සංකල්පය ජනප්‍රිය වුණා. උසස් ගණිතයේ ඇති ජනප්‍රිය කොටසක් වන Ring Theory විෂයේදී Ideal සංකල්පය අධ්‍යයනය කරනවා