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  2. Vector addition system - Wikipedia

    en.wikipedia.org/wiki/Vector_addition_system

    A vector addition system (VAS) is one of several mathematical modeling languages for the description of distributed systems.Vector addition systems were introduced by Richard M. Karp and Raymond E. Miller in 1969, [1] and generalized to vector addition systems with states (VASS) by John E. Hopcroft and Jean-Jacques Pansiot in 1979. [2]

  3. Force - Wikipedia

    en.wikipedia.org/wiki/Force

    Resolving force vectors into components of a set of basis vectors is often a more mathematically clean way to describe forces than using magnitudes and directions. [30] This is because, for orthogonal components, the components of the vector sum are uniquely determined by the scalar addition of the components of the individual vectors ...

  4. Parallelogram of force - Wikipedia

    en.wikipedia.org/wiki/Parallelogram_of_force

    Figure 1: Parallelogram construction for adding vectors. This construction has the same result as moving F 2 so its tail coincides with the head of F 1, and taking the net force as the vector joining the tail of F 1 to the head of F 2. This procedure can be repeated to add F 3 to the resultant F 1 + F 2, and so forth.

  5. Minkowski addition - Wikipedia

    en.wikipedia.org/wiki/Minkowski_addition

    For Minkowski addition, the zero set, {}, containing only the zero vector, 0, is an identity element: for every subset S of a vector space, S + { 0 } = S . {\displaystyle S+\{0\}=S.} The empty set is important in Minkowski addition, because the empty set annihilates every other subset: for every subset S of a vector space, its sum with the ...

  6. Covariance and contravariance of vectors - Wikipedia

    en.wikipedia.org/wiki/Covariance_and_contra...

    A covector or cotangent vector has components that co-vary with a change of basis in the corresponding (initial) vector space. That is, the components must be transformed by the same matrix as the change of basis matrix in the corresponding (initial) vector space. The components of covectors (as opposed to those of vectors) are said to be ...

  7. Man allegedly called 911 a total of 17 times and demanded a ...

    www.aol.com/news/man-allegedly-called-911-total...

    This guy gave new meaning to the slogan “Gottahava Wawa.” Police in East Windsor, N.J., arrested a 24-year-old man on Dec. 23, and charged him with misusing the town’s 911 system for ...

  8. College Football Playoff format: Bowl game times, dates and ...

    www.aol.com/college-football-playoff-format-bowl...

    The final rankings for the College Football Playoff are days from being released. Here are the bowls that make up the newly formatted CFP.

  9. How to drink less during the holidays: 5 expert tips to help ...

    www.aol.com/lifestyle/drink-less-during-holidays...

    Whether it’s your spouse, partner, best friend or a co-worker, using the buddy system will help remind you to stay true to your desire to drink less. It's also more fun to sip a Shirley Temple ...