Consider the following dialogue: Walter: There’s a counterexample to every generalization!Ram: Either what you just said is true or it’s false. If it’s true, then there is acounterexample to every generalization, including that very generalizationitself—and so it’s false. In this ...
What is a counterexample? What is decay theory? By definition, 0! = ___? What does it mean when we say a test statistic is conservative? What does 4C2 = 6" mean in plain language? What is sampling theory? What is the full definition for implied by statute? What is ...
These types of objects are extremely common in geometry, so it is useful to be familiar with them and how to indicate that two geometrical objects are congruent.Answer and Explanation: A congruence statement is a statement used in geometry that simply says that two objects are congruent, or ha...
(In fact, the skew-dimension is basically the largest quantity which obeys all of these properties.) Part (i) of this theorem was implicitly proven by Pálvölgi and Zhelezov by a different method. Part (ii) with replaced by was established by Manners. To our knowledge, part (iii) ...
Rachel Greenfeld and I have just uploaded to the arXiv our paper “A counterexample to the periodic tiling conjecture“. This is the full version of the result I announced on this blog a few months ago, in which we disprove the periodic tiling conjecture of Grünbaum-Shephard and Lagarias-...
Just to add to this - GR is genuinely complicated, but SR isn't really any harder than Euclidean geometry. If you can handle Pythagoras' Theorem then you have the mathematical chops to handle SR, with the caveat that you'd be limited to idealised toy problems unless you also knew the ba...
In the context of combinatorial reciprocity, it is a natural question to ask what “ $$-Q$$ ” is for a poset Q. In a previous work, the definiti
To extend this vector to a basis we calculate a principle vector by solving which leads to Defining we get the Jordan canonical form of as So we have but is not the Jordan canonical form of . So, in short: The Jordan canonical form of the limit of is not the limit of the Jordan ...
Not all glass is transparent. As a familiar counterexample, Corelle™ dishes are made of glass, but are quite opaque.As before, we need to understand transparency before we attempt to understand non-transparency. As before, we can understand transparency in terms of coherent forward scattering....
Math Chemistry Calculus Algebra 1 Algebra Algebra 2 Geometry Precalculus Physics Other ...RELATED QUESTIONS Show that the conjecture below is false by finding a counterexample. Answers · 2 Make a conjecture about the relationship betwee...