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  2. Principles and Standards for School Mathematics - Wikipedia

    en.wikipedia.org/wiki/Principles_and_Standards...

    The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]

  3. Five-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Five-dimensional_space

    Therefore, the geometry of the 5th dimension studies the invariant properties of such space-time, as we move within it, expressed in formal equations. [11] Fifth dimensional geometry is generally represented using 5 coordinate values (x,y,z,w,v), where moving along the v axis involves moving between different hyper-volumes .

  4. Randall–Sundrum model - Wikipedia

    en.wikipedia.org/wiki/Randall–Sundrum_model

    The model is a braneworld theory developed while trying to solve the hierarchy problem of the Standard Model.It involves a finite five-dimensional bulk that is extremely warped and contains two branes: the Planckbrane (where gravity is a relatively strong force; also called "Gravitybrane") and the Tevbrane (our home with the Standard Model particles; also called "Weakbrane").

  5. Schur's lemma (Riemannian geometry) - Wikipedia

    en.wikipedia.org/wiki/Schur's_lemma_(Riemannian...

    Suppose (,) is a smooth Riemannian manifold with dimension . Recall that this defines for each element p {\displaystyle p} of M {\displaystyle M} : the sectional curvature , which assigns to every 2-dimensional linear subspace V {\displaystyle V} of T p M , {\displaystyle T_{p}M,} a real number sec p ⁡ ( V ) {\displaystyle \operatorname {sec ...

  6. Kaluza–Klein theory - Wikipedia

    en.wikipedia.org/wiki/Kaluza–Klein_theory

    In modern geometry, the extra fifth dimension can be understood to be the circle group U(1), as electromagnetism can essentially be formulated as a gauge theory on a fiber bundle, the circle bundle, with gauge group U(1). In Kaluza–Klein theory this group suggests that gauge symmetry is the symmetry of circular compact dimensions.

  7. The Best Fast-Food Family Meal Deals to Feed a Crowd for Less

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    3. Domino's: $7 Mix and Match Deal. The best long-running meal deal at Domino's is the $7 Mix and Match. You need to order at least two items, but you can get as many as you want from choices such ...

  8. ISIS no longer rules a territory. But its recruits still pose ...

    www.aol.com/isis-no-longer-rules-territory...

    It’s many years since ISIS, also known as Islamic State, held sway over much of Syria and northern Iraq a time when it spawned affiliates throughout Africa and Asia and organized a series of ...

  9. Perturbation theory - Wikipedia

    en.wikipedia.org/wiki/Perturbation_theory

    In mathematics and applied mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem. [1] [2] A critical feature of the technique is a middle step that breaks the problem into "solvable" and "perturbative" parts. [3]