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  2. Fold and thrust belt - Wikipedia

    en.wikipedia.org/wiki/Fold_and_thrust_belt

    In the south a fold and thrust belt exists as sediments are folded and stacked (thrust) on top of the other. An example of thin-skinned thrusting in Montana. The white Madison Limestone is repeated, with one example in the foreground (that pinches out with distance) and another to the upper right corner and top of the picture.

  3. Fold mountains - Wikipedia

    en.wikipedia.org/wiki/Fold_mountains

    Fold mountains form in areas of thrust tectonics, such as where two tectonic plates move towards each other at convergent plate boundary.When plates and the continents riding on them collide or undergo subduction (that is – ride one over another), the accumulated layers of rock may crumple and fold like a tablecloth that is pushed across a table, particularly if there is a mechanically weak ...

  4. Mountain formation - Wikipedia

    en.wikipedia.org/wiki/Mountain_formation

    Zard-Kuh, a fold mountain in the central Zagros range of Iran. When plates collide or undergo subduction (that is, ride one over another), the plates tend to buckle and fold , forming mountains. While volcanic arcs form at oceanic-continental plate boundaries, folding occurs at continental-continental plate boundaries.

  5. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  6. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.

  7. Fold-and-cut theorem - Wikipedia

    en.wikipedia.org/wiki/Fold-and-cut_theorem

    The fold-and-cut theorem states that any shape with straight sides can be cut from a single (idealized) sheet of paper by folding it flat and making a single straight complete cut. [1] Such shapes include polygons, which may be concave, shapes with holes, and collections of such shapes (i.e. the regions need not be connected ).

  8. Extraneous and missing solutions - Wikipedia

    en.wikipedia.org/wiki/Extraneous_and_missing...

    One of the basic principles of algebra is that one can multiply both sides of an equation by the same expression without changing the equation's solutions. However, strictly speaking, this is not true, in that multiplication by certain expressions may introduce new solutions that were not present before. For example, consider the following ...

  9. Algebraic variety - Wikipedia

    en.wikipedia.org/wiki/Algebraic_variety

    The twisted cubic is a projective algebraic variety.. Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics.Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers.