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  2. Dilation (metric space) - Wikipedia

    en.wikipedia.org/wiki/Dilation_(metric_space)

    In Euclidean space, such a dilation is a similarity of the space. [2] Dilations change the size but not the shape of an object or figure. Every dilation of a Euclidean space that is not a congruence has a unique fixed point [3] that is called the center of dilation. [4] Some congruences have fixed points and others do not. [5]

  3. Dilation (morphology) - Wikipedia

    en.wikipedia.org/wiki/Dilation_(morphology)

    Dilation is commutative, also given by = =. If B has a center on the origin, then the dilation of A by B can be understood as the locus of the points covered by B when the center of B moves inside A. The dilation of a square of size 10, centered at the origin, by a disk of radius 2, also centered at the origin, is a square of side 14, with ...

  4. Length contraction - Wikipedia

    en.wikipedia.org/wiki/Length_contraction

    In the second method, times and are not equal due to time dilation, resulting in different lengths too. The deviation between the measurements in all inertial frames is given by the formulas for Lorentz transformation and time dilation (see Derivation). It turns out that the proper length remains unchanged and always denotes the greatest length ...

  5. Sz.-Nagy's dilation theorem - Wikipedia

    en.wikipedia.org/wiki/Sz.-Nagy's_dilation_theorem

    For a contraction T (i.e., (‖ ‖), its defect operator D T is defined to be the (unique) positive square root D T = (I - T*T) ½.In the special case that S is an isometry, D S* is a projector and D S =0, hence the following is an Sz.

  6. Today's Wordle Hint, Answer for #1231 on Friday ... - AOL

    www.aol.com/lifestyle/todays-wordle-hint-answer...

    SPOILERS BELOW—do not scroll any further if you don't want the answer revealed. The New York Times. Today's Wordle Answer for #1231 on Friday, November 1, 2024.

  7. Gravitational time dilation - Wikipedia

    en.wikipedia.org/wiki/Gravitational_time_dilation

    Gravitational time dilation is a form of time dilation, an actual difference of elapsed time between two events, as measured by observers situated at varying distances from a gravitating mass. The lower the gravitational potential (the closer the clock is to the source of gravitation), the slower time passes, speeding up as the gravitational ...

  8. US Soccer CEO JT Batson open to Emma Hayes’ joint ... - AOL

    www.aol.com/us-soccer-ceo-jt-batson-145022832.html

    US Soccer CEO JT Batson says that he’s open to job-sharing in top coaching roles, a proposal floated by US Women’s National Team (USWNT) head coach Emma Hayes last week.. Speaking ahead of the ...

  9. 5 key takeaways from election night 2024 - AOL

    www.aol.com/5-key-takeaways-election-night...

    Election Day is in the books: Donald Trump is projected by NBC News to win the presidential race, Republicans have captured the Senate, and the House is still up for grabs.

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