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But Taylor , a dedicated scientist , was not ready to give up , and decided to look at the problem in a different way . But you have only to attend a performance in a different kind of venue to see at once the possibilities for addressing the access problem in a different way . Often a group activity , creative problem solving is characterised by effective teamwork , the examination of problems in a new way and the invention of new solutions to existing problems . This is true in life , as we get by from day to day ; in work , people with Maths A level earn , on average , 10 % more than those without ; and in learning , giving students the capacity to tackle problems in a logical way . Finally , we describe the solution to the original problem in the same way : in the 9-dimensional manifold P x P x P we locate the points corresponding to triples of planes in which * Two of the planes coincide * One of the planes is tangent to the torus * The intersection of some pair of planes is tangent to the torus * The intersection of all three planes lies on the torus . It gives all the J code necessary to model " rank " on your own - - so if you want to solve " the fitted fill " problem in a general way , you have a good head start to actually implement some of the thoughts below . Distortions such as “ mirror-imaging ” — the belief that an adversary would approach a technical problem in the same way as the person doing the analysis — make such efforts a deeply flawed basis for the development of effective countermeasures . " You want the manager looking at the problem in the same way you are looking at it , " says Admati .