studiot

Yes I agree there are different view aqbout whqt iw scinece and what is not and this applies to other disciplines as well as maths. As regards 'flat earth' , like so many things in nature, the issue is neither hard and fast nor clear cut. As a rule of thumb in surveying and cartography th flat earth model is adopted for patches of the earth of less than 10km radius. It would also seem that the OP has lost interest.

Firstly I don't understand why you have this in Politics. Are you talking about the scientific method or the relationship between science and politics or what. Please also clarify who the 'known' people are abd what their input to science might be. If you are actuqlly talking about science leaders, then I can't see how you could consider this to be true. Almost every province of science that I can think of is currently developing at pace, and each province boasts competing hypotheses in frontier areas. Only the most non controvertial such as well established bodies of facts such as the structure of the alkanes or the way arithmetic works. Further back in history over the last few hundred years there have been significant arguments over the substance of science, some furious, some even leading to torture or death. However the further you go back the more a complicating factor intervenes. That factor is communication.. Thousands of years ago it took a long time for new discoveries to reach remote lands. For instance the spread of the modern numbering system from india, to europe. Besides the distance separation there was also the fact that many workers worked on their own. The huge collaborative projects are a modern development. But even then 'gurus' sometimes held sway, even when they were wrong.

What point are your trying to make ? Yes I remember the polio vaccines, but the mid 20th century was hardly 'early' ; you have to go back another 150 years for that to Edward Jenner in 1796.

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. 😀