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Students could respond with counter-conjectures that they would defend.
Some in the group had long argued for greater transparency and accountability, if for no other reason than to counter the darker conjectures about the movement.
Indeed, it was shown recently that counter to original conjectures, thelytoky in L. fabarum is under nuclear control [ 17].
We also provide a counter example to a conjecture of Duncan and Paterson.
That ran counter to a mathematical conjecture that, among so-called convex objects (those without dimples, holes or hollows), spheres should have the loosest ideal packing.
Let us also mention that the construction of nontrivial branches of solutions of semilinear equations with exponential nonlinearities allowed Wente to provide counter examples to a conjecture of Hopf [17] concerning the existence of compact (immersed) constant mean curvature surfaces in Euclidean space.
One of the affine designs obtained has the same 2-rank as the design of points and planes in AG(3,4), and provides a counter-example to a conjecture of Hamada [On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error-correcting codes, Hiroshima Math. J. 3 (1973) 153 226].
(Not finished yet. =P) Vocabulary: Natural number, Prime number, Perfect square, Vertex, Pentomino, Rational number, Conjecture, Mean, Counter-example.
Given the localization of Myosin II in actin patches, it is reasonable to conjecture that Myosin II-dependent contraction of individual actin filaments within actin patches provides structural integrity to counter the force generated by the extending filopodia.
In this paper we confirm that f(6)="5, but give counter-examples to Fishburn's conjecture for n= 7, showing that f(7)⩾7.
Instead we are left with rumour and conjecture, claim and counter-claim that leaves cricket followers scratching their heads.
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