studiot

Well even with the crick in my neck I can see that you have mislabled the second digram.

xy/2 is the area of triangle oxy This area depends upon the radius of the circle. So no in general xy/2 is not equal to 1.

I remember asking at school why Cambridge university exam papers were printed black text on light green paper and being told or reading that they had done a study which found that this particular colour resulted in the least number of candidates having some sort of panic/breakdown upon opening the paper in an exam.

Yes you are quite right. Thank you +1 I shall have to check my sources more carefully. Wisconsin professors of mathematics are are evidently unreliable. No it can't be connectivity, though this plays a part in higher carbon counts as the maximum connectivity is 4 for an individual carbon atom.

That is what lounges are for. Thank you for the discussion anyway.

Nature has no requirement for a mathematical formula to describe a sequence. Any such is purely artificial, but is in accord with an ordering of the set of all alkanes. However Nature does present us with conundrums involving sequences such as chicken and egg, non commutativity

The sequence denotes the number of isomers of alkanes, in increasing order of the number of carbon atoms. There is no known single formula for calculating this, but several methods in combinatorics and graph theory are available for high numbers which increase rapidly with carbon count. It does however start off with the first five terms of the fibonacci as noted.

How is this different from Fn = F(n-1) + F(n-2) ? It still leads to the next two numbers being 8 and 13 Anyway, thank you for being the only member interested. Think Methane, ethane, propane, butane, pentane for 1, 1, 2, 3, 5

They are not random numbers, but in my opinion, too many authors especially popsci ones promote fibonacci as the sequence of Nature. And this is Scienceforums not just Physicsforums or Mathforums.

So what other sequence(s) start of like fibonacci but diverge from this pattern further down the line ? This is an exercise in thinking out of the box.

If it were fibonacci the next two numbers would be 8 and 13, swince 8 = 5 + 3 and 13 = 8 + 5

I have a different answer, though I see I miswrote the sequence. Abject Apologies, I can still change it. 9, 18

1, 1, 2, 3, 5... Why is this not a fibonacci sequence and what are therefore the next two terms ? Answers in a spoiler please.

I have been reading about the Erdos-Bacon distance and its central role in the success of the Google search algorithm. Fascinating.

As an author, presumably you want other people to read your stuff. Why do you expect them to do this if you can't be bothered to read the posting rules here ? I'm sure you have been told this before.

Whilst I agree with you that one purpose of education is to impart a level of knowledge and capability to avoid the pitfalls you mention education has several other purposes, especially in elementary school. Not least is to develop the ability to interact well with other people. Particulary worrying as children are becoming more and more isolated from others, behind screens, computers, phones etc. Equally, stuffing the early curriculum with Science doesn't shield anyone from a pushy and persuasive used car salesman. You also seem to have missed my main point that there are just too many subjects to to cover them all. Traditional Uk primary school concentrates on what are known as "The 3 Rrs" - "Reading, Riting and Rithmetic" supplemented with craftwork, painting and drawing, singing and perhaps dancing (once called music and movement), gardening, cooking, needlework, sport, telling the time, reading a timetable, a bit of history, geography, poetry, general knowledge. So no, I was not taught formal music. Furthermore your age range ( 10 - 14) runs at least 2 years into UK secondary education (high school). In that time basic STEM subjects would be introduced, along with foreign languages, woodwork, metalwork, religous educatio9n, music and formal instrument instruction. This is only a sample of the total list which again I stress makes it impossible to teach everything to everybody.

Your education curriculum must be severely limited. Tbere would just not be enough hours in the week to teach all available subjects to all pupils in aUK high scho I would never have been even an average art or music student no matter how long I remained at high school.

@joigus I think you are referring to what are often called the 'equations of constitution' (the Physics) and the 'equations of compatibility' (often geometric). A simple example from incompressible fluid mechanics would be Bernoulli's equation (an equation of motion ie one connecting time and space) is an equation of constitution. An equation of compatibility would be A1 V1 = A2 V2 where A is area and V is velocity. For pilot waves various possible equations of constiitution have already been listed, An equation of compatibility would need to modulate the amplitude of the pilot wave in such a way tha its amplitude is zero except in the vicinity of the particle. Does this help ? Sorry I'm having great trouble witth computers a the moment.

Was this a request for a simple guide to manifolds and spaces ? I have less than zero interest in Grok, but I can help with this. Again +1 for well put insight. This is a new variation on Sir Oliver Heaviside's famous remark to the Royal Society Gentleman, Should I refuse my dinner because I do not fully understand the process of digestion ?

This is a very pertinent question, which might be even better if you expanded on your second paragraph. +1 We have lots of different company models, in the UK, some for profit and some not for profit. Either way our glorious politicians have chosen to tax utility supplies to domestic consumers, so this is an additional cost which has nothing to do with either the ecological or engineering issues around winning the supply, generation or distribution.

Sadly my main pc has gone belly up some i am currently struggling with an old netbook. I have the prospect of a nice modern replacement complete with windows 11 pro. But w11 will not load my older copies of Office, which I need to use. I have discovered that there is a version still available that is not pay - as - you go but one time purchase namely office2024. But I see that some vendors are offrning this for £10 to £30 (allegedly legit) Whilst others are in the £120 to £200 range So I am asking Has anyone any experience of either or what is involved ?

Pretty useless dam if it only lasts 50 years with at 30% chance of flooding. Must have been designed by a university maths dept. 😀

Interesting point. I had a larger Kia for a while. A full charge is 64 kwh say 65 with charginging losses. 65 x 30 days = 1950 units if she had to charge it every day. Note you will not get a 15 kw rate from a standard UK socket it's 3kw from one socket or up to 8kw for a directly wired special outlet.

Thanks everyone for the replies. I do not know if US charging practice includes any form of fixed charges or 'standing charges'. In 2016 we removed the gas boiler and installed a heatpump so we are now all electric. Usage is spread out over the seasons as follows Summer 100 kwh per week for 14 weeks Autumn & Spring 200kwh per week for 30 weeks Winter 300kwh per week for 8 weeks Total 9800 annual kwh We had two cold/frosty weeks in December 2025 and the bill amounts to £300, including non negligible standing charges.

A few notes about the overcolourfull but untenable Heat Death. First and foremost it comes from the realms of classical thermodynamics, and preceded both Einstinian relativity and QM. Second it assumes the universe may be regarded as an isolated system. In this model there are two extremal 'drivers' to processes The Principle of Maximum Entropy The Principle of Minimum Energy. Both are system properties and since one represents a min and the other a max they often compete or work in opposite directions. But because they are independent it is also possible for one or the other to be inactive. There are oscillatory systems for which the entropy remains constant and thus are driven by the energy principle and are independent of entropy. Also since the models are of isolated systems energy remains constant. It should also be noted that energy is not a substance but a thernmodynamic accounting of energy that passes into or out of the system. Cosmologically this means that models that allow energy to leak or disappear or appear are not handled or included. QM complicates this by allowing energy to be temporarily 'borrowed' from somewhere else so long as the energy of the final system is lower than before. Cooper pairs and Higgs bosons provide good examples here.