hilbert kii chhathi samasya

hilbert kii chhathi samasya bhautiki kii una shaakhaon koo swayamsiddh banaana haye jinamen ganit prachalit haye. yeh ganit mein hilbert kii samasyaon kii vyaapak roop seey uddhrit soochi parr paaya jaataa haye jise unhone varsh 1900 mein prastut kiya thaa. isake samanya angreji anuvaad mein, spasht kathan mein likhaa haih
hilbert ney iss samasya aur isake sambhaavit vishisht roopon kii aur vyakhya deeh
itihas.
david hilbert ney swayam apane shodh kaa adhikansh hissa chhathi samasya key liye samarpit kiya; vishesh roop seey, unhone bhautiki key una kshetron mein kaam kiya joe samasya key kahane key baad utpann hue.
1910 key dashak mein, khagoliya yantriki samanya saapekshata mein vikasit hui. hilbert aur ammy nother ney siddhant key nirmaan parr albert einstein key saath vyaapak roop seey patrachar kiya.
1920 key dashak mein, sookshm pranaliyon key yantriki quantum yantriki mein vikasit hue. hilbert, johnn wonn neuman, ell. kii sahaayata seey. nordheim, aur ee. pee. wigner ney quantum yantriki key swayamsiddh aadhar parr kaam kiya (hilbert space dekhein). usee samay, lekin swatantra roop seey, derack ney quantum yantriki koo iss tarah seey taiyar kiya joe ack swayamsiddh pranali key karib haye, jaisa kii herman wheel ney erwin schroedinger kii sahaayata seey kiya thaa.
1930 key dashak mein, praayiktaa siddhant koo maap siddhant kaa upayog karate hue andree kolmogorov dwara swayamsiddh aadhar parr rakhaa gayaa thaa.
1960 key dashak seey, arther whiteman aur rudolf haag key kaam key baad, aadhunik quantum kshetra siddhant koo bhee ack swayamsiddh vivaran key karib maanaa jaa sakata haye.
1990-2000 key dashak mein "seemit karane vaali prakriyaon kii samasya, joe kewal sanket detee haye, joe paramanu drishtikon seey nirantarta kii gati key niyamon kii or leey jaati haye", key baare mein kaee ganitvidon key samoohon ney sampark kiya thaa. mukhya halia parinamon koo laure sent-raymond, marshel slameroad, alekjendar aine dwara sankshep mein prastut kiya gayaa haye. gorban aur iliya carlin.
sthiti.
hilbert kii chhathi samasya maujooda ganitiya vishayon key baahar, bhautiki aur usase aage swayamsiddh vidhi kaa vistaar karane kaa prastaav thaa. iss vistaar key liye bhautik vaastaviktaa kii dhaarana key aupchaarik vishleshan key saath bhautiki key shabdarth key vikas kii aavashyakta hoti haye joe kiya jaanaa chaahiye. dou maulik siddhant bhautiki kii adhikansh maulik ghatnaaon koo pakadate hainh
hilbert ney samanya saapekshata koo bhautiki kii neenv kaa ack aavashyak hissa maanaa. haalaanki, quantum kshetra siddhant taarkik roop seey samanya saapekshata key saath susangat naheen haye, joe quantum gurutvaakarshan key abhee bhee agyaat siddhant kii aavashyakta kaa sanket detaa haye, jahaan bhautiki key shabdarth ack kendriya bhoomika nibhaane kii ummeed haye. iss prakaar hilbert kii chhathi samasya khuli rahati haye.

