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P, NP and mathematics - a computational complexity perspective

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dis too date match that time BAGHDAD duos next week there aren't we beat their obtained he is a bachelor's degree from the neon in 1980 and from and BHP crown
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but I think the most important aspect of his mathematical personality is is is extremely broad knowledge and is extremely broad view about what is going on any time you have any questions about what there is on that area really about time we will give you a fantastic description on going to the you would think there may be only after somebody's special person that Daddy would be obvious considers theoretical computer science as start mathematics that you which I chair and he has been thinking about working on some of these extremely difficult questions which many of which can be some arrives as a simple dichotomy like determine is versus non determinants all I want is relationship between Fatah repetition brought there's sequence repetition and proper or what is the relationship between now and the amputation amputation using randomness N vs. them if can get on it is with great expectation that I am looking forward to this Dole some so it's END and mathematics from the respect he 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better the last board of that and if you want to stay reverse them formal way which is just the amount of time would the fulfilled camachile over that and we don't know we don't get read on cannot put it out there and of course the capture of a much deeper thing that questions about whether we can automate PA David his mother mother creativity but that should much bigger than for that the question we cannot but we have our lives all the problems in and 3 and even beyond our forwards really don't have for now and plan on them we don't have anything on the the obvious financial I'm not going to be the best we can do so if you have the care if any of this problem any of the problems hardly while financial signed by the best exponents of flights by the
best the Our Uribe's falls under of the sun in front of everybody lives and I'll be there for them now problems in and 3 life for you will require much of for that 1 fundamental question of whether the sign but may moved to the 2nd fundamental questions which is about the ball from the what they want to rule on the way by a few examples it is set problem very natural problems with the examples of for each of which we have a very efficient ballistic and for now we do we have a mammoth comic corners on the floor is weird them on like Powell a other examples from the front of the quantum optics with over basic simple the state program but before that just defined what the public to gobble up with them of the program that it is allowed only to prove that to 4 . 0 by our so we assumed the limit of although it just the traffic uniform distribution of the dependent on kind of we doublet and candles for the vision and Of course once you allow the computation the outcome of computation comes on the bottom and the question then is the may available for what do you expect that they would not loaded will accept that the does the job with a very high probability that the United called for why should want always in Russia than it once did well our money on those in who the good will of the the best remember the truth already anyway in light of all the time so why not novel as the elves and for this account with the much better behaved denials in life you can leave them out of the woods something rule you just off the cliff and want to avoid being over time solubility coupled with Domenech Simon Taylor and of course the way the way that we it is for some problems we can and can't do it the domestically we'll and it's a very powerful tool examples want further it is No. away from my time and he'll give our communities similar talks for like when many of them a but might find examples but have the probabilistic solution but not that want but this warning the revealed by beautiful in 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the so the density don't bother France before the Chicago nobody and I'd be out of reach in the of fun so far so that's 1 example but an example from under Bush for now their identities of Vermont saying I want to but the wander make and viable look at the dominant in all them if earlier court for the before and from among the pool but I just want them to clarify the next 4 months of 5 object to open thought check on the coefficient little the freedom of the and you would never have thought but not the way the data from the better that sympathy over overnight but In general if I give you another button on the mouse something that you think if has money came up with related identity support not only of the died from our implicitly like this 1 and you want to know about whether it's identically premises completely I would do it our but again probabilistically it's very simple a simple Schroth things are going well and it will not not not identical then survived a measure want not the 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this also is that the orange Emily will forget that I will not allow Wolf candy from relatives of the Maoist former but if I had the all of the hypothesis frustrated if I could convince your freely without giving your of what's in them but you will be felt that I probably want there is a difference between these the previous day or and this is assuming 1 refund could feel the Fox told the Fox problems at the Jakarta and is in need invaded of the major application of plagiarism goes in pool people about big wave bit sentimental within the fold of the law all sorts of magical properties of portables about what the the place for that another thing of woefully out thanks knowledge in the Greek modification cannot be done if you have the both the if the butterfly leaving and toppled be OK that some of ice 1 1 thing that is was more general than this the hope is that no 1 in this computational complexity glasses and consider the efficiency of the port city involved all the efficiency of the but depends in part to corrupt a video on the Senate but because France then concepts change meaning actually sometimes get them for that to work around the has gained further the already the cool sold the remission of war lots more and brought about by the for which the that on the mission here is that it's in the eyes of others the followed Of the be-all that God you hungry absolute don't be ran from outside Europe the study your on sequence and white wine bottle on computers and how can generate good enough with enough in the sense good enough for official biographer and duffel followed with a probably just got we another set of remedies sometimes cannot be eliminated the rather talk about with the the butt of computing and defeat them on and that's where we don't following is showing but did they said they fall even for this accountable exams the power line from the basic them off and just designed no favor for basic are them and then might get in the door forgot that some of the things we fans the substitute northern found we don't know our With outside declared depend on how we better find out where the loot for anthology how that 4 major the fundamental question No. 1 who rolled off the complexity of found what can we do it for fun maybe and really want to lower the from project not that former comments use of basic you aware of the by a basic from other funds is still unfolding of the real problem with toddlers we believe it is a different matter can creativity I already have this when I have that talk like we have a conversation with a mathematician about these admit they don't interfere soulful but and I love my poem about what what to blow they will time without the bag and get the ball in the dueling lashing out what how can a mathematician to confirm not the answer an dog my answer is there are now many ways Davis and or off you can work your work from the complete want particularly appealing some of which have not met Our from governments and doing it proliferation in the bought army of the vary from Middle School of our field make sure that could not to otherwise plus on tho favor functions the down on the amount of None of the admittedly of what you want to know that don't have the same function without them a sign that the border Wandiligong build opponent of and venerated it is 1 way you might want to never mind wife it 1 where you can go about you can buy the project the dominant so you can buy and bad and bandmates or allow them to abide by way of a fine match and that computer the down and out of the allowed and what you want that that would have allowed might be the parliament of the more flow but did not for a man will be found on the composition of the government to find them alive now get and the all of dearly can be done it can be done but let me give still 1 that can be done and the size of the karaoke financially late in life but to have a little bit of a total ban will fight the result body and soul for much some of the value and rolled on the best 1 the reasons why For the body on the role and work what do you do it doesn't go in for role on the Will they still upon an army out of the they different the relative concrete clearly are by questions maybe the lightweight world let question I put it in both because not exactly think about it don't the downtown the tournament on home programs a popular month like pre-eminent be slightly before and it supported them for finite the slow barnful fine if I feel that it pulled the bees from and the program for Internet fearful for the complex task of whatever right isn't a thing of Paul but thank you
Gewichtete Summe
Spiegelung <Mathematik>
Gesetz <Physik>
Statistische Hypothese
Gerichteter Graph
Deskriptive Statistik
Vorzeichen <Mathematik>
Trennschärfe <Statistik>
Kontraktion <Mathematik>
Vervollständigung <Mathematik>
Numerische Mathematik
Kategorie <Mathematik>
Gebäude <Mathematik>
Dichte <Physik>
Sortierte Logik
Rechter Winkel
Ordnung <Mathematik>
Explosion <Stochastik>
Folge <Mathematik>
Klasse <Mathematik>
Spannweite <Stochastik>
Fächer <Mathematik>
Reelle Zahl
Inhalt <Mathematik>
Spezifisches Volumen
Stochastische Abhängigkeit
Offene Menge
Eigentliche Abbildung
Turnier <Mathematik>
Abstimmung <Frequenz>
Prozess <Physik>
Natürliche Zahl
Formale Potenzreihe
Familie <Mathematik>
Kartesische Koordinaten
Technische Optik
Uniforme Struktur
Lineares Funktional
Nichtlinearer Operator
Amenable Gruppe
Mathematisches Objekt
Körper <Physik>
Projektive Ebene
Gewicht <Mathematik>
Ausdruck <Logik>
Inverser Limes
Leistung <Physik>
Einfach zusammenhängender Raum
Fundamentalsatz der Algebra
Matching <Graphentheorie>
Physikalisches System
Kette <Mathematik>
Objekt <Kategorie>


Formale Metadaten

Titel P, NP and mathematics - a computational complexity perspective
Serientitel International Congress of Mathematicians, Madrid 2006
Anzahl der Teile 33
Autor Wigderson, Avi
Lizenz CC-Namensnennung 3.0 Deutschland:
Sie dürfen das Werk bzw. den Inhalt zu jedem legalen Zweck nutzen, verändern und in unveränderter oder veränderter Form vervielfältigen, verbreiten und öffentlich zugänglich machen, sofern Sie den Namen des Autors/Rechteinhabers in der von ihm festgelegten Weise nennen.
DOI 10.5446/15981
Herausgeber Instituto de Ciencias Matemáticas (ICMAT)
Erscheinungsjahr 2006
Sprache Englisch

Inhaltliche Metadaten

Fachgebiet Mathematik
Abstract The P versus NP question distinguished itself as the central question of theoretical computer science nearly four decades ago. The quest to resolve it, and more generally, to understand the power and limits of efficient computation, has led to the development of computational complexity theory. While this mathematical discipline in general, and the P vs. NP problem in particular, have gained prominence within the mathematics community in the past decade, it is still largely viewed as a problem of computer science.
Schlagwörter P
computational complexity

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