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  2. Linear dynamical system - Wikipedia

    en.wikipedia.org/wiki/Linear_dynamical_system

    Linear dynamical systems can be solved exactly, in contrast to most nonlinear ones. Occasionally, a nonlinear system can be solved exactly by a change of variables to a linear system. Moreover, the solutions of (almost) any nonlinear system can be well-approximated by an equivalent linear system near its fixed points. Hence, understanding ...

  3. Linear independence - Wikipedia

    en.wikipedia.org/wiki/Linear_independence

    Linearly independent vectors in Linearly dependent vectors in a plane in .. In the theory of vector spaces, a set of vectors is said to be linearly independent if there exists no nontrivial linear combination of the vectors that equals the zero vector.

  4. System of linear equations - Wikipedia

    en.wikipedia.org/wiki/System_of_linear_equations

    Here z is the free variable, while x and y are dependent on z. Any point in the solution set can be obtained by first choosing a value for z, and then computing the corresponding values for x and y. Each free variable gives the solution space one degree of freedom, the number of which is equal to the dimension of the solution set.

  5. Dynamical systems theory - Wikipedia

    en.wikipedia.org/wiki/Dynamical_systems_theory

    Dynamical systems theory and chaos theory deal with the long-term qualitative behavior of dynamical systems.Here, the focus is not on finding precise solutions to the equations defining the dynamical system (which is often hopeless), but rather to answer questions like "Will the system settle down to a steady state in the long term, and if so, what are the possible steady states?", or "Does ...

  6. Capitals defeat the New Jersey Devils 6-5 for their seventh ...

    www.aol.com/capitals-defeat-jersey-devils-6...

    Pierre-Luc Dubois, Rasmus Sandin and Taylor Raddysh each scored a goal and added an assist in the Washington Capitals 6-5 win over the New Jersey Devils in a meeting featuring the top two teams in ...

  7. Linear equation - Wikipedia

    en.wikipedia.org/wiki/Linear_equation

    The n-tuples that are solutions of a linear equation in n variables are the Cartesian coordinates of the points of an (n − 1)-dimensional hyperplane in an n-dimensional Euclidean space (or affine space if the coefficients are complex numbers or belong to any field). In the case of three variables, this hyperplane is a plane.

  8. Autism May Be Caused by Air Pollution — Specifically, Car ...

    www.aol.com/autism-may-caused-air-pollution...

    A new study says that air pollution — specifically, the kind caused by car exhaust — may be a significant cause of rising rates of autism in children.. Exposure to nitric oxide (NO)— which ...

  9. Thousands of Pete Rose fans pay respects during 14-hour ... - AOL

    www.aol.com/sports/thousands-pete-rose-fans-pay...

    Thousands of fans showed up to Great American Ball Park in Cincinnati on a rainy Sunday to pay their respects to Pete Rose, the Reds legend who died on Sept. 30 at 83 years old.. The visitation ...