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... In one of his famous results, Fermat showed that there exists no Pythagorean triangle with integer sides whose area is an integer square. His elegant method of proof is one of the first known examples in the history of the theory of numbers where the method of infinite descent is employed. Mohanty [ ...
... In one of his famous results, Fermat showed that there exists no Pythagorean triangle with integer sides whose area is an integer square. His elegant method of proof is one of the first known examples in the history of the theory of numbers where the method of infinite descent is employed. Mohanty [ ...
recognizing polynomials
... 3. Look at the second term in example c in both groups. How are they different from each other? 4. Where are the variables in example d in both groups located? 5. What characteristics of the terms in Group I make them polynomials? 6. Are all polynomials algebraic expressions? Why or why not? 7. Are ...
... 3. Look at the second term in example c in both groups. How are they different from each other? 4. Where are the variables in example d in both groups located? 5. What characteristics of the terms in Group I make them polynomials? 6. Are all polynomials algebraic expressions? Why or why not? 7. Are ...
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... The first is the unique minimal representation; the last is the unique maximal representation. The others show that representations of any intermediate length need not be unique. It is easy to show that only numbers of the form Fn - 1 have a unique Zeckendorf representation (i.e., one that is maxima ...
... The first is the unique minimal representation; the last is the unique maximal representation. The others show that representations of any intermediate length need not be unique. It is easy to show that only numbers of the form Fn - 1 have a unique Zeckendorf representation (i.e., one that is maxima ...
TERNARY BOOLEAN ALGEBRA 1. Introduction. The
... the latter [l, 2 ] , 2 and by the former we shall mean simply a function of three variables defined for elements of a set K whose values are also in K. Ternary operations have been discussed in groupoids [4] and groups [3 ] ; in Boolean algebra an operation different from the one introduced here was ...
... the latter [l, 2 ] , 2 and by the former we shall mean simply a function of three variables defined for elements of a set K whose values are also in K. Ternary operations have been discussed in groupoids [4] and groups [3 ] ; in Boolean algebra an operation different from the one introduced here was ...
Singularity surfaces
... Solving the forward kinematic problem of a parallel manipulator often leads to complex equations and non analytic solutions, even when considering planar 3DOF parallel manipulators [1]. For these planar manipulators, Hunt showed that the forward kinematics admits at most 6 solutions [2] and several ...
... Solving the forward kinematic problem of a parallel manipulator often leads to complex equations and non analytic solutions, even when considering planar 3DOF parallel manipulators [1]. For these planar manipulators, Hunt showed that the forward kinematics admits at most 6 solutions [2] and several ...
