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  2. Bisection method - Wikipedia

    en.wikipedia.org/wiki/Bisection_method

    A few steps of the bisection method applied over the starting range [a 1;b 1].The bigger red dot is the root of the function. In mathematics, the bisection method is a root-finding method that applies to any continuous function for which one knows two values with opposite signs.

  3. Reasonableness - Wikipedia

    en.wikipedia.org/wiki/Reasonableness

    In constitutional and administrative law, reasonableness is a lens through which courts examine the constitutionality or lawfulness of legislation and regulation. [12] [13] [14] According to Paul Craig, it is "concerned with review of the weight and balance accorded by the primary decision-maker to factors that have been or can be deemed relevant in pursuit of a prima facie allowable purpose".

  4. Extraneous and missing solutions - Wikipedia

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

    The solution = is in fact a valid solution to the original equation; but the other solution, =, has disappeared. The problem is that we divided both sides by x {\displaystyle x} , which involves the indeterminate operation of dividing by zero when x = 0. {\displaystyle x=0.}

  5. Carathéodory's existence theorem - Wikipedia

    en.wikipedia.org/wiki/Carathéodory's_existence...

    as a solution of the differential equation. Strictly speaking though, it does not satisfy the differential equation at =, because the function is not differentiable there. This suggests that the idea of a solution be extended to allow for solutions that are not everywhere differentiable, thus motivating the following definition.

  6. Florida homeowner shoots and kills one intruder, injures ...

    www.aol.com/florida-homeowner-shoots-kills-one...

    A Florida man opened fire on two home intruders, killing one of them, on Thursday night, authorities said. The Lakewood Ranch area homeowner saw two masked men on his motion-activated home ...

  7. American Travis Timmerman flown out of Syria after release ...

    www.aol.com/american-travis-timmerman-flown...

    A U.S. defense official told CBS News that Travis Timmerman was flown out of Syria and into Jordan by the U.S. military and handed over to the State Department.

  8. Self-similar solution - Wikipedia

    en.wikipedia.org/wiki/Self-similar_solution

    Self-similar solutions appear whenever the problem lacks a characteristic length or time scale (for example, the Blasius boundary layer of an infinite plate, but not of a finite-length plate). These include, for example, the Blasius boundary layer or the Sedov–Taylor shell. [1] [2]

  9. Is Your Dog Stressed? 5 Signs to Watch for and How to Help - AOL

    www.aol.com/dog-stressed-5-signs-watch-151500398...

    How to Treat Excessive Signs of Stress. If you see these signs, the first thing to do is try to take care of the stress at home. The easiest and most effective way to do this is just to walk your ...