Toby Bailey

Fine wine and food, nature & landscape photography, mathematics

[Toby Bailey @TobyBailey]

@juliet_turner6 I hope when Ajax made his alarm call, you set a good example by running away or jumping into a tree.

[Toby Bailey @TobyBailey]

There's nothing like a shag on a steep rock face. Photo a week or so ago at St Abb's head.

[Toby Bailey @TobyBailey]

@MercuriusFilius The thing that is missing from most analyses is that for the standard Monty Hall problem and solution you have to know that the interviewer has no choice but to open a rejection letter and show it to you.

[Toby Bailey @TobyBailey]

@juliet_turner6 Does one find basking sharks in rock pools? If so, I must remember to take care.

[Toby Bailey @TobyBailey]

@macro_action Beautiful! So that's with macro ring, I assume?

[Toby Bailey @TobyBailey]

@SteveStuWill Grouping is essential to understanding, and the case for binary divisions is keeping complexity under control. If you divide things into 24 groups and then distinguish 26 subclasses, you have 624 cases. Make binary distinctions and even four levels only give you 16 cases.

[Toby Bailey @TobyBailey]

@andrew_lilico @BristOliver I don't think I do! Where does 1/9 come from?

[Toby Bailey @TobyBailey]

@mathhub_vn Bad question. You can choose the domain to be any set of elements for which it is defined. Eg the domain could be {0}. So you could ask what is the maximal domain.

[Toby Bailey @TobyBailey]

@sonukg4india Somebody once said that geometry is the art of correct reasoning on incorrect figures. Perhaps, not only geometry?

[Toby Bailey @TobyBailey]

@juliet_turner6 Why are they so indiscriminately territorial? Is it competition for pollen or something? It seems mad to me but I have no relevant expertise.

[Toby Bailey @TobyBailey]

@pickover Also Heron's formula works as it does for all Loretzian triangles. Use the form a^4 + b^4 + c^4 - 2(a^2 b^2 + b^2 c^2 + c^2 a^2)= -16 Area^2.

[Toby Bailey @TobyBailey]

@CHendoU5 @pickover No. That concerns finding a shape of curve that an object slides down as quickly as possible.

[Toby Bailey @TobyBailey]

@AlanWatsonFeat1 Recently in Woodhall Dean

[Toby Bailey @TobyBailey]

@macro_action Thanks. How do you think the 50-200 with 2x compares with 100-400 mark 2 without converter?

[Toby Bailey @TobyBailey]

@codek_tv People saying that there is no unique solution are missing a point: there is a line (other than those forming the outer triangle) through each vertex and those three lines are concurrent.

[Toby Bailey @TobyBailey]

@mnk68636175 @codek_tv That's lovely. I can't recall seeing that fact before. It seems to be Ceva's theorem but for angles rather than sides - and Ceva seems to give a quick proof. Is there something analogous for Menelaus's theorem?

[Toby Bailey @TobyBailey]

@BermudaBat @afneil The sample size required for a given level of accuracy in results does not depend on the number of voters.

[Toby Bailey @TobyBailey]

@Gary_wayne2 The match.