carrying out the subtractions in thte brackets above gives us (2 * 3^22)(2 * 3 ^23)(2 * 3^24). This becomes (2^3)(3^(22+23+24))= (2^3)(3^69). Thus m = 3 and n = 69, and 69 + 3 = 72.
As a supplement to this little problem, would you have an observation platform where the three bridge segments meet at the centre of the lake? This latter of course, unlike the mathematical question is purely a matter of opinion. I would go for a circular platform just below the level of the bridges, accessible by lifts and stairs.
Some technical tips prompted by a post on Yarnandpencil, a wide variety of shares from around the web, including a new facebook page and a petition, a solution to a teaser and some photographs.
I have various things to share with you, and some new pictures to post. I am going to start with…
BLOGGING HINTS: HOW TO REBLOG WITHOUT A REBLOG BUTTON
This section was prompted by a post put up by Tracy at Yarn and Pencilthis morning titled “More WP problems“, and has developed from a comment I posted there. One of the problems she raised there was the ‘disappearing reblog button’ that others have commented on.
The process for reblogging when there is no reblog button is:
Start a new post as though you were going to create something of your own.
Link to the site on which you found the piece you intend to share and of course to the piece itself (use the actual title of the piece for this).
Select a paragraph and/or an image from the original to serve as an ‘appetiser’ (making sure to differentiate the text from your own and/or to ensure that the image is clearly identified as the other person’s work)
If you are using a whole post just to link to one piece turn the comments of on your post – you want to people to visit the original and post any comments they might have there. This last point leads me on to…
A QUICK GUIDE TO TURNING OFF COMMENTS
If your window when creating a post looks like mine, then on the right as you look is a panel of tabs as follows:
Open the ‘More Options’ tab, as indicated by the red arrow above, and you will see…
…Down near the bottom are two check boxes and you want to uncheck the top one of the two where it says “Allow Comments”. Instead of two ticks, shown above, you want it to look like:
1.) Neurodiversity is a natural and valuable form of human diversity.
2.) The idea that there is one “normal” or “healthy” type of brain or mind, or one “right” style of neurocognitive functioning, is a culturally constructed fiction, no more valid (and no more conducive to a healthy society or to the overall well-being of humanity) than the idea that there is one “normal” or “right” ethnicity, gender, or culture.
3.) The social dynamics that manifest in regard to neurodiversity are similar to the social dynamics that manifest in regard to other forms of human diversity (e.g., diversity of ethnicity, gender, or culture). These dynamics include the dynamics of social power inequalities, and also the dynamics by which diversity, when embraced, acts as a source of creative potential.
Meet John. He’s a wizard at data analytics. His combination of mathematical ability and software development skill is highly unusual. His CV features two master’s degrees, both with honors. An obvious guy for a tech company to scoop up, right?
Until recently, no. Before John ran across a firm that had begun experimenting with alternative approaches to talent, he was unemployed for more than two years. Other companies he had talked with badly needed the skills he possessed. But he couldn’t make it through the hiring process.
In fact, my dear, dear friend, Autism, I love you.
And I am grateful for who you have made me. And that you are there for me when I need you.
Let’s start our journey again, and this time I promise, I’ll try my best to understand what you need from me. Take my hand and let’s tackle the world together.
But please do try and understand what I have to give. That I have limits.
And, dear kind, confusing, Autism, remember this: I love you.
No matter what. Always, forever and a day.
This next link is for those of you who use social media. Libby, who tweets as @LibbyAutism, has expanded her social media profile by creating a facebook page called Liberty – living with autism. Please visit and like the page if you can.
Finally, to end this section, a reminder about the petition on 38 Degreesto save the Respite Unit at Morley House. This petiton, screenshotted below, is now on just over 3,000 signatures, and I urge you all to help us increase that number:
SOLUTION TO SATURDAY’S TEASER
Here is the problem I set you on Saturday:
Here is the answer, followed by a published solution:
This is Stephen Mellor’s highly admired solution:
Well done those of you who have made it to this point! We end, as usual, with some recent photographs:
Inspired by Jennifer Lisi on twitter, who created the graphic at the heart of it, this post sets out aspi.blog’s stall, taking autism acceptance is starting point and looking ahead to autism appreciation.
This is a post about something magnificent I have just seen on twitter and wish to share with all of you. The text of this post is #RedInstead because it is specifically about autism.
AUTISM ACCEPTANCE MONTHS
To start with, below is a screenshot of the tweet, by Jennifer Lisi, that prompted this post:
Now we move on to some extra thoughts of my own:
Although I will on occasions, when I believe people are doing it for the right reasons share stuff about “autism awareness” I will not use the phrase on my account because…
We have been banging on about awareness for ages, and I do not believe there is a problem any more with people not knowing of the existence of autism and autistic spectrum conditions, though there are a raft of problems when it comes to understanding of such conditions.
For me Autism Acceptance as shown in the graphic above is what we should be considering as our basic start point, with the hope that acceptance of us for who and what we are will lead to…
Appreciation of our strengths and good qualities.
Thus the journey we look to trace out runs not awareness-understanding-acceptance but awareness-understanding-acceptance-appreciation.
I end this post with some photographs, in this case with a cormorant in the starring role:
Some stuff about the ODI at the MCG, a neurodiversity quote, a mathematical puzzle and some photographs
After the horrors of the Ashes test series it makes a change to write about a winning performance from an England cricket team in Australia. I also have a few other things to share of course, including more of my photos.
RECORDS GALORE AT THE MCG
The pitch at the MCG for the first of five One Day Internationals (50 overs per side) was a vast improvement of the strip they had produced for the test match, and the players produced a match worthy of the occasion. England won the toss and chose to field. England;s improvement in this form of the game since their horror show at the 2015 World Cup has been such that even before they started batting an Australia tally of 304 seemed inadequate.
England got away to a quick start, although Jonny Bairstow did a ‘Vince’ – looking very impressive for 20-odd and then giving it away. Alex Hales also fell cheaply, but Joe Root came out and played excellently, while Jason Roy produced the major innings that England needed from one of their top order. When his score reached 124 Roy had an England ODI record for the MCG, and that soon became an all-comers MCG record, to match Cook’s all-comers test record score for the MCG. When he went from 171 to 175 Roy establish a new England ODI individual scoring record. His dismissal for 180, with 200 just a possibility was a disappointment but by then the result was not in doubt, and even the loss of a couple more wickets in the dying overs served only to reduce the final margin. England won by five wickets with seven deliveries to spare, and it was a much more conclusive victory than those figures suggest because three of the wickets came with the outcome already settled courtesy of Roy. Joe Root also deserves credit for his support role to Roy’s pyrotechnics, a selfless display that saw him finish just short of his own hundred when the winning runs were scored. The Test squad has a lengthy shopping list of new players needed (two openers given Cook’s age, at least one new batsman for the middle order, a couple of genuine quicks and a serious spinner at minimum), but the ODI squad is in splendid fettle.
A CLASSIC NEURODIVERSITY COMMENT
This comes courtesy of twitter:
Those of you who have read Alison’s response to my nominating her for a Blogger Recognition Award will have noticed that she specifically mentioned enjoying the puzzles that sometimes feature here. Here courtesy of the mathematical website brilliantis another:
The colony of muscovy ducks that I first saw in late 2017 are still in residence along a section of the Gaywood River that is close to where it enters The Walks en route to becoming the Millfleet, in which guise it flows into the Great Ouse…
Introducing the concept of National Park Cities, publicising a thunderclap about the same and displaying some of my own photographs.
To take part in a Thunderclap you have to be on at least one of facebook, twitter or tumblr, so for the benefit of those among my readers who cannot take part I am also including some recent photos of my own that tie in well with this particular thunderclap.
NATIONAL PARK CITIES
The idea behind this thunderclap, set up the folks at team4nature is that there are recognized health benefits to people having easy access to nature. Among the potential pioneers of the concept of a National Park City is London, and you can declare your support here. To take part in the thunderclap click here, or on the image below, which shows the story in full:
Here are some of my recent nature pictures, which also feature the two main parks in King’s Lynn, The Walks and Lynnsport Park and sections of Bawsey Drain and The Gaywood River.
This short but powerful video was brought to my attention by an email from We Own It, and I am sufficiently impressed by it to share it here, so that those of my followers on this blog who do not use Twitter, Facebook or Youtube can see it.
Some thoughts on public transport, prompted in part by Lord Adonis’ resignation statement.
The timing of this post is due to the resignation statement of Lord Adonis, a man who I have very little in common with, but who hits the nail on the head with his resignation statement, which you can read in full, courtesy of The Guardian, here (an excerpt is reproduced below, courtesy of twitter):
EAST COAST FRANCHISE LOWLIGHTS
The first time the East Coast Franchise hit difficulties, it was being run by National Express. The then government took it into public ownership, albeit with the (stupid) rider that it be reprivatised as soon as it was back in the black. On reprivatisation it passed into the hands of Virgin Trains, run by a combination of tax exile Richard Branson and the Stagecoach Group (as a non-driver who lives in Norfolk I know them too well and like them too little for comfort). The East Coast Franchise is now back in trouble, and the current transport secretary, Chris ‘Failing’ Grayling, as well as being a strong contender in the ‘most incompetent minister ever’ contest is such a ‘private good, public bad’ zealot that rather than take the logical option of taking it back into public ownership is bailing it out at vast cost, thereby setting a horrendous precedent which will enable any other rail franchise that hits trouble to demand a bail out.
RENATIONALISATION AS START POINT
Not only should the East Coast Franchise be renationalised now, with it being made clear that it will not be privatised again, the whole railway network needs to be renationalised. The Labour party have laid out how this can be achieved – namely by refusing to put each franchise up for tender as and when it expires. For further detail check out We Own It’sRailwayspage. However, this is only a beginning – both because railways are only one part of public transport – there are also buses, and because one needs to consider how the system should be run. As I was typing this, the following came through on twitter from We Own It:
Bus and railway services need renationalising, and they need to be run jointly. As to how they should be run – well there are two groups of people who should be represented in the body that runs public transport services: those who use the services and those who provide the services. If services are to be publicly owned (and these should be), they need to be fully publicly accountable.
SOME EXTRA RESOURCES
I have three final links to share which relate to this piece:
The Mirrorhas demonstrated yet another way in which privatisation is failing us, with fares going up by an average of 3.4% (when we already pay on average five times as much as our fellow Europeans for a service that is probably not even on fifth as good as most of them get – I have travelled extensively in Europe over the years and most countries provide far better services than are available here in Britain) – we have on average the oldest carriages since records began (that average is 21 years old, with the Caledonian Sleeper holding an unwanted record with 42 year old carriages).
Here is you reward for reaching the end of this piece: