Now and forever lyrics

The Worlds Hardest TestProblems 1-6 defined as the Millennium Prize ProblemsProblems 7-9 defined as Hilbert’s Problems Problems 10-13 defined as Landau’s Problems Problems 14-18 defined as Smale’s Problems1.)P vs Np: for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly.2.)Hodge Conjecture: for projective algebraic varieties, Hodge cycles are rational linear combinations of algebraic cycles.3.)Riemann Hypothesis: all nontrivial zeros of the analytical continuation of the Riemann zeta function have a real part of 1/2.4.)Yang-Mills Existence and Mass Gap: In physics, classical Yang–Mills theory is a generalization of the Maxwell theory of electromagnetism where the chromo-electromagnetic field itself carries charges. As a classical field theory,it has solutions which travel at the speed of light so that its quantum version should describe massless particles (gluons). However, the postulated phenomenon of color confinement permits only bound states of gluons, forming massive particles5.)Navier Stokes Existence and Smoothness: The Navier–Stokes equations describe the motion of fluids andare one of the pillars of fluid mechanics. However, theoretical understanding of their solutions is incomplete. In particular, solutions of the Navier–Stokes equations often include turbulence, for which general solutions remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering.Even basic properties of the solutions to Navier–Stokes have never been proven. For the three-dimensional system of equations, and given some initial conditions, mathematicians have not yet proved that smooth solutions always exist, or that if they do exist, they have bounded energy per unit mass. [citation needed] This is called the Navier–Stokes existence and smoothness problem.The problem is to make progress towards a mathematical theory that will give insight into these equations, by proving either that smooth, globally defined solutions exist that meet certain conditions, or that they do not always exist,and the equations break down.
6.)Birch and Swinnerton-Dyer Conjecture: The Birch and Swinnerton-Dyer conjecture deals with certain types of equations: those defining elliptic curves over the rational numbers. The conjecture is that there is a simple way to tell whether such equations have a finite or infinite number of rational solutions.7.)Extend the Kronecker–Weber theorem on abelian extensions of the rational numbers to any base number field8.)Describe relative positions of ovals originating from a real algebraic curve and as limit cycles of a polynomial vector field on the plane.9.)Further development of the calculus of variations10.)Can every even integer greater than 2 be written as the sum of two primes?11.)Are there infinitely many primes p such that p + 2 is prime?12.)Does there always exist at least one prime between consecutive perfect squares?13.)Are there infinitely many primes p such that p − 1 is a perfect square? In other words: Are there infinitely many primes of the form n2 + 1?14.)Extend the mathematical model of general equilibrium theory to include price adjustments15.)find a strongly-polynomial time algorithm which for given matrixA ∈Rm×n and b ∈Rm decides whether there exists x ∈Rn with Ax ≥b.16.)Is one-dimensional dynamics generally hyperbolic?17.)What are the limits of intelligence?Storage, as long as intelligence is defined as knowledge about a specific subject.18.)Is an Anosov diffeomorphism of a compact manifold topologically the same as the Lie group model of John Franks?Telling whether The questions asked are solvable or notWhat makes a problem unsolvable? An unsolvable problem will be a problem whosesolution runs into a loop, the answer is impossible to prove,or the question is based upon flawed logic. Defined, in order, as Lp, Np, and Wq