Mjue mtaalamu wa Hesabu!!

[666 chata]

Jamaa huyo hapo na kwa wale wenzangu wanaolitaka hilo fumbo ili labda waweze kulifumbua from another approach fumbo lenyewe hili hapa:
[h=3]Poincaré's question[/h] At the beginning of the 20th century, Henri Poincaré was working on the foundations of topology—what would later be called combinatorial topology and then algebraic topology. He was particularly interested in what topological properties characterized a sphere.
Poincaré claimed in 1900 that homology, a tool he had devised based on prior work by Enrico Betti, was sufficient to tell if a 3-manifold was a 3-sphere. However, in a 1904 paper he described a counterexample to this claim, a space now called the Poincaré homology sphere. The Poincaré sphere was the first example of a homology sphere, a manifold that had the same homology as a sphere, of which many others have since been constructed. To establish that the Poincaré sphere was different from the 3-sphere, Poincaré introduced a new topological invariant, the fundamental group, and showed that the Poincaré sphere had a fundamental group of order 120, while the 3-sphere had a trivial fundamental group. In this way he was able to conclude that these two spaces were, indeed, different.
In the same paper, Poincaré wondered whether a 3-manifold with the homology of a 3-sphere and also trivial fundamental group had to be a 3-sphere. Poincaré's new condition—i.e., "trivial fundamental group"—can be restated as "every loop can be shrunk to a point."
The original phrasing was as follows:

Consider a compact 3-dimensional manifold V without boundary. Is it possible that the fundamental group of V could be trivial, even though V is not homeomorphic to the 3-dimensional sphere?
​

Kwa wale ambao mnalalmika hamjaletewa haya maswali do not dispair kuna haya hapa chini bado: Yanaitwa
[h=1]Millennium Prize Problems[/h] [h=2]Contents[/h]

• 1 P versus NP
• 2 The Hodge conjecture
• 3 The Poincaré conjecture (proven)
• 4 The Riemann hypothesis
• 5 Yang–Mills existence and mass gap
• 6 Navier–Stokes existence and smoothness
• 7 The Birch and Swinnerton-Dyer conjecture

Atakaeshinda asinisahau hata ka 5% tu ka prize money.

kaka wewe n mtafit, hongera

 

[Thema]

Ha ha ha ha ha.Wote kimyaaaaaaa,fumbueni sasa akina Baba V,Godiani na Manyerere.

 

[MKATA KIU]

Duh na A zangu za namba za kutosha hii kitu ni noma,, hii haiwezi kuwa hisabati.. Duh sijawai kuona kwa kweli hata kwa kuhisi

 

[madmankache]

Duh me umenifurahisha kulipost hlo fumbo,sasa waliosema liko wapi ndo walione sasa

 

[TSSFL]

Still we have many other controversies; for example, how universe came into existence, big bang theory, Superstring theory, Evolution theory, etc., Scientists are working tirelessly and sleeplessly to explore these theories, see for example LHC - world largest experiment which explores among other theories, the existence of Higgs Boson - Large Hadron Collider - Wikipedia, the free encyclopedia.

 

[PCGAMES]

Kwa hiyo Hisabati ipo kwa wazungu tu.

 

[Athumans Lugendo]

Haya mliokuwa mnalitaka hilo fumbo mufumbue kazi kwenu sasa mi nasubiri tu nione nani atapatia

 

[Sikonge]

Unayataka hayo maswali? Yanaitwa Millennium Prize Problems.

Kama hapo aliposema mleta Thread, yalikuwa Saba na sasa yamebaki SITA. Kila moja lina $1,0million. Wahi haya hapa chini.

• P versus NP by Stephen Cook.
• The Hodge Conjecture by Pierre Deligne.
• The Poincaré Conjecture by John Milnor. (SOLVED).
• The Riemann Hypothesis by Enrico Bombieri.
• Yang-Mills Existence and Mass Gap by A. Jaffe and E. Witten.
• Navier-Stokes Existence and Smoothness by Charles Fefferman.
• The Birch and Swinnerton-Dyer Conjecture by Andrew Wiles.

Watu wote! Hapana. Afrika lilishaletwa?

 

[Stroke]

Jamaa huyo hapo na kwa wale wenzangu wanaolitaka hilo fumbo ili labda waweze kulifumbua from another approach fumbo lenyewe hili hapa:
Poincaré's question

At the beginning of the 20th century, Henri Poincaré was working on the foundations of topology—what would later be called combinatorial topology and then algebraic topology. He was particularly interested in what topological properties characterized a sphere.
Poincaré claimed in 1900 that homology, a tool he had devised based on prior work by Enrico Betti, was sufficient to tell if a 3-manifold was a 3-sphere. However, in a 1904 paper he described a counterexample to this claim, a space now called the Poincaré homology sphere. The Poincaré sphere was the first example of a homology sphere, a manifold that had the same homology as a sphere, of which many others have since been constructed. To establish that the Poincaré sphere was different from the 3-sphere, Poincaré introduced a new topological invariant, the fundamental group, and showed that the Poincaré sphere had a fundamental group of order 120, while the 3-sphere had a trivial fundamental group. In this way he was able to conclude that these two spaces were, indeed, different.
In the same paper, Poincaré wondered whether a 3-manifold with the homology of a 3-sphere and also trivial fundamental group had to be a 3-sphere. Poincaré's new condition—i.e., "trivial fundamental group"—can be restated as "every loop can be shrunk to a point."
The original phrasing was as follows:

Consider a compact 3-dimensional manifold V without boundary. Is it possible that the fundamental group of V could be trivial, even though V is not homeomorphic to the 3-dimensional sphere?
​

Kwa wale ambao mnalalmika hamjaletewa haya maswali do not dispair kuna haya hapa chini bado: Yanaitwa
Millennium Prize Problems

Contents

• 1 P versus NP
• 2 The Hodge conjecture
• 3 The Poincaré conjecture (proven)
• 4 The Riemann hypothesis
• 5 Yang–Mills existence and mass gap
• 6 Navier–Stokes existence and smoothness
• 7 The Birch and Swinnerton-Dyer conjecture

Atakaeshinda asinisahau hata ka 5% tu ka prize money.

Kakitu kenyewe karahisi namna hii, watu tupo next level nyie bado mpo huku, poleni..

 

[Good Guy]

reminds me of a great scientist named Nikola Tesla, he practicaly invented the AC, invented the wireless communication and many vital inventions for the modern age but never wanted fame and died a very poor man.

 

[ndupa]

akina sembuche,nyarusanda na akina Prof mpanduji na Prof s.massawe habari hizi wanazijua???

 

[ndupa]

Duh na A zangu za namba za kutosha hii kitu ni noma,, hii haiwezi kuwa hisabati.. Duh sijawai kuona kwa kweli hata kwa kuhisi

mkuu hapo kama hukusoma Bsc in mathematics au masters hapo ni chenga tu,mwenyewe naona mistari tu!!! embu tungoje hawa wataalam wetu wa hesabu waje!!!!

 

[Suplier]

Hahahaha

 

[Suplier]

Haya mliokuwa mnalitaka hilo fumbo mufumbue kazi kwenu sasa mi nasubiri tu nione nani atapatia

ndo maana mi nilikimbilia arts ubongo usije ukasogea kwa ajili ya maths

 

[CHAMVIGA]

Kama differential, integration na differention nimeisona tuition zaidi ya mara mbili ukiachilia mbali pindi la class kweli nitasolve hata moja hapo?
Akina maclaurian, taylors, lagregas na wengineo wameshindwa kweli nitatoka? Ngoja nibakie kimya nisige konda bure na unrealistic concepts.
Mathematics is all about clarification of thought.

 

[Sex addict]

kuna vichwa UDSM vita solve

Haha vichwa vya kidimbwi vile looooh