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Friday, April 27, 2007

1/3 x h x (1y1+4y2+1y3) = area under the curve!

Good old Simpsons rule there!
Making it work however isn't so easy, in fact the answers I have been getting are not very accurate.
Anyway, back to the "real world". Sorry for not updating in a while, it seems my life has become just as boring as the maths I am learning. I know this because I am beginning to find the maths interesting which I think is a sure sign (or was it sine?)!
We have been doing 6 hours of maths Mon- Fri for two weeks now, Although we are now learning stuff which is new to us (wasn't in the GCSE syllabus) I still think it all looks the same. Its all Greek to me. Which incidentally so is our teacher. so She says "Its all Chinese to me" which I don’t think quite has the same ring to it. She is teaching us a word of Greek per day to "keep our interest". Personally I think if she was to juggle fire whilst riding a unicycle around the room we would still find the maths dull, but only two more weeks to go then its on to other subjects. I think Maths teaching is a good job, once you have learnt it you don't have to go on courses and refresher thingies because its always going to be the same, unless Pythagoras changes his mind or Casio invent a calculator so wonderful it can create new maths.
I have just read this back and it really is a load of drivel so I shouldn’t write any more until I am talking a bit of sense.

Ciao, R

29 Comments:

At 1:54 am, Anonymous Anonymous said...

First or Second Rule ?

And Yes you are showing signs of drivle.
And it's only your first trip - a year from now, you will probably be completely insane.
Boyscout

 
At 11:31 am, Anonymous Anonymous said...

First rule.

 
At 8:23 am, Anonymous Anonymous said...

"I think Maths teaching is a good job, once you have learnt it you don't have to go on courses and refresher thingies because its always going to be the same, unless Pythagoras changes his mind or Casio invent a calculator so wonderful it can create new maths."

I think if you spoke to a few maths teachers, you'd see how very wrong that statement is! You're learning the basic tools of mathematics, but you will find that maths is actually a very creative process, especially when it comes to modelling problems such as ship stability. I hope that as you get on to more advanced subjects later in your course, you'll begin to see what I mean!

 
At 12:02 am, Anonymous Anonymous said...

Finding it Interesting - thats good, but it always is when you can recognise the purpose.
Stick at it, - at least you you stand a chance of being capable of determining that all important area under the GZ curve.
When you can confidently do that - then a maker of widows and orphans you will not become.

Here is another practical application - a bit of a teaser for you to think about.

An oil tank is of constant transverse section with horizontal ordinates of breadth spaced at 0.6 metre apart.
The ordinates are of the following breadths in meters.: 6.096, 6.096, 5.852, 5.304, 4.267, 2.965,1.067.
The Length of the tank is 7.315 metres.

Comment on :- Which tank is it likely to be. ?

Determine:-
1. The quantity of oil (at SG 0.97) which the tank will hold at 95% capacity (ignore the space occupied by "internals".
2. The distance of the C of G from the top.
3. The distance of the C of G of the oil - from the top.

Use Simpsons Second Rule

 
At 10:50 pm, Anonymous Anonymous said...

ROB
It's sure is a good sign when a potential officer is capable of recognising his/her own drivle, and is prepared to admit it.
That is a BONUS.
I'm not suprised you are getting the wrong answers.

1st Rule.

In its simplicity - a short curve "defined" by 3 equidistant ordinates designated by * in this example.

* * *

S.M. 1 4 1


A slightly longer curve - defined by 5 equidistant ordinates

ie two short curves with 3 ordinates one of which is common to both short curves.

* * * * *
1 4 1
-----1 4 1

1 4 2 4 1 (S.M.'s)

 
At 11:09 pm, Anonymous Anonymous said...

Damned Website isn't tabulating properly, but never mind you should still get the gist of it.

Lengthening the curve yet again

7 ordinates.

* * * * * * *
1 4 1
-----1 4 1
----------1 4 1

1 4 2 4 2 4 1

 
At 11:14 pm, Anonymous Anonymous said...

Ist Rule becomes

h/3(*+4*+2*+4*+2*+4*+*)
where h is common interval between ordinates

 
At 11:28 pm, Anonymous Anonymous said...

Of course in my day we didn't describe it as maths, we called it Naval Architecture and Ship Stabilty - dependent upon which it was.

I got "O" levels in those, along with many more - before even being accepted by any company as a deck-officer cadet.

But maths it was, I suppose, when You come to think about it.

pp.

 
At 10:04 pm, Anonymous Anonymous said...

I can see the problem - these "comment" facilities are really quite inadequate - you are restricted in what you can do.
More Keys on the keyboard might be the answer.

Drivel - thats true too - but there's nothing wrong with that especially when you recognise it - thats what's important.

1424241. [h/3] (1st Rule)


2nd Rule (Basic - even no. of ordinates)

1 3 3 1
-------1 3 3 1
--------------1 3 3 1


1 3 3 2 3 3 2 3 3 1

but this time it's 3h/8

Hope that helps.

 
At 10:10 pm, Anonymous Anonymous said...

Hey - that question posted at 12.02AM above.
Thats actually a very good, well designed little "problem".
Be carefull with "the levers".

 
At 9:11 pm, Anonymous Anonymous said...

Drivle, you say.
That's as maybe.
But look at it again - the drivel is not in your head, the drivel is in the limitations placed on you by this software.
Clearly 1y1 was intended to be Ordinate 1 whilst 4y2 was intended to be 4 X Ordinate 2, and 1 y 3 was intended to be Ordinate 3.
The foregoing is correct - so the drivel - on this occassion was not in your head.
Where drivel has existed in the past it is to be expected in the case of a first tripper.
The important thing is, and the greatest attributes you project are
1. Integrity.
2. Morality.
3. YOU COMMUNICATE.
I suggest, the foregoing are the greatest attributes of all.
Keep up the studies - especially the maths, for when that is refreshed in your head the other subjects which follow, will be an absolute "breeze".
And that problem "somebody" set you in these comments, - draw it on a piece of graph paper, (preferably to scale) then draw in the tank centre line, turn it through 90 degrees then work out the area under the curve using the half ordinates, remembering to multiply the answer by 2.
The rest should be easy, but be carefull with the levers.
*[c of g of oil - think shift of g]

anon.
wink wink

 
At 9:44 pm, Anonymous Anonymous said...

SO TRUE - anon.
In the cyber world - we can "see into his head".
Dont forget that advanced fire fighting course - push them to permit you to do it ASAP.
You may not like it too much whilst you are doing it, but you will just love having done it - it's tough, frightening, demanding, perhaps - but the best one you will ever do.
At least it used to be.

eye spy.
wink.

 
At 10:21 pm, Anonymous Anonymous said...

FIRE FIGHTING.
Remember what you were told elsewhere in this blog.
Those ear lobes - don't protect them.
Whilst they permit you - Keep Fighting, but when the pain there becomes unbearable - GET OUT, - real fast.

 
At 10:52 pm, Anonymous Anonymous said...

Aye Laddie - it's all very true.
And whilst you are down there fighting the fire, ear lobes all "tingling" - don't forget to consider your ships stability, for it's likely to be fatal if you do -especially on ships - Other than Tankers.

bss.

 
At 10:55 pm, Anonymous Anonymous said...

Correction:-

Should read:-
"It's likely to be fatal - if you don't"

"Silly me" !!!!

bss

 
At 2:46 am, Anonymous Anonymous said...

Hey Man - thats real cool.
I can see it now.
Software - thats the problem - don't forget it.
Paper and Pencil - don't discard them, nor indeed your maths books -or they are sure to come in handy one day.
Be Prepared

LOL

"Out where the river broke
The bloodwood and the desert oak
Holden wrecks and boiling diesels
Steam in forty five degrees

The time has come
To say fair's fair
To pay the rent
To pay our share
The time has come
A fact's a fact
It belongs to them
Let's give it back

How can we dance when our earth is turning
How do we sleep while our beds are burning
How can we dance when our earth is turning
How do we sleep while our beds are burning

The time has come to say fairs fair
to pay the rent, now to pay our share

Four wheels scare the cockatoos
From Kintore East to Yuendemu
The western desert lives and breathes
In forty five degrees

The time has come
To say fair's fair
To pay the rent
To pay our share
The time has come
A fact's a fact
It belongs to them
Let's give it back

How can we dance when our earth is turning
How do we sleep while our beds are burning
How can we dance when our earth is turning
How do we sleep while our beds are burning

The time has come to say fair's fair
To pay the rent, now to pay our share
The time has come, a fact's a fact
It belongs to them, let's give it back

How can we dance when our earth is turning
How do we sleep while our beds are burning"

Courtesy of Midnight Oil
next Minister for the Environment.

Boyscout/Seascout.

 
At 5:22 pm, Anonymous Anonymous said...

Hey There young fella

Elders Say - That not Drivel - That computer crap.

You doing OK for sure.

Cheer Up !!!!!!!

"Bright eyes,
Burning like fire.
Bright eyes,
How can you close and fail?
How can the light that burned so brightly
Suddenly burn so pale?
Bright eyes."

Soon you get sums right - You see, for sure.

Luv Dorothy xx

 
At 1:14 am, Anonymous Anonymous said...

well I don't know about modern day GCSE syllabie, but I wouldn't mind betting that whatever it is, it is more than adequate to allow you to progress and easily cope with what Mr. Simpson has to throw at you, and should certainly enable you to progress to solving the celestial PZX triangle, whether by intercept method or Long by Chron.
As for Azimuths, Amplitudes and Latitude by Meridian Altitude, well they'll just be a "dawdle".
But if you should fail the first time - that's usually the first step to success - it's easier the second time around, generally speaking - that is.
Just a bit more expensive - that's all - there's the rub.
Stick at it - you'll make it for sure.
Vocational College is better than main stream high school - in so many cases.
They get results where schools fail, - different attitude perhaps, or maybe it's not so much the pupils but the staff.
Don't know either, what it is like where you are these days, but there are some places where high school kids have been suiciding in abundance - just because they cant't pass their exams - or think they can't.
That really does make you wonder, just what the hell are they teaching them ?
Virtually unheard of - in the old days, when required standards were higher than today.
That is Shocking.
Too much Bullshit perhaps, or maybe we have a generation of school teachers - all weaned on drugs.
I don't know - but I certainly wonder.

 
At 10:43 pm, Anonymous Anonymous said...

Tank Cleaning & gas freeing.
A tip for the future.
When U have to and are unable to COW - ie no cargo on board etc., then you have to fall back on water alone.
Except (Maybe) in the case of the very very lightest of crudes, Cold wash first (Long wash) and finish of with a HOT (Short) wash. Ratio about 3 to 1. [around 60 centigrade]
{Never go straight in HOT - you'll make a hell of a mess if you do. "Light ends" all gone, just heavy remaining & mountains of sludge left behind}
The hot will minimise the residual gasses, particularly those remaining embedded within the sludge - the ones likely to kill the tank divers.

Take it, or leave it - it makes no difference to me.

This computer is failing I think - and I won't be getting another

S/M (Ret'd)
Wink

 
At 8:42 pm, Anonymous Anonymous said...

Yeah Man - thats all good stuff.
So, when you've finished your maths, read up on Flash Point, get to know it, and know what it means.
After that be aware of ambient temperatures - both sea and air, then just use common sense - not least of all in pumprooms.

Sea Scout.

 
At 10:17 pm, Anonymous Anonymous said...

BINGO - thats right Sea Scout, - You've got it.
And if Rob is really switched on, he will realise that if the 3 to 1 ratio does not give the desired effect, he can always start up again, maybe even hotter if required - but the hotter it is, the more that it costs in financial terms, and there's no point in wasteing money if it's not necessary.
Tank Cleaning is expensive, enormously expensive - even cold.
It's a commercial operation - spend what you need to, but don't pour money down the drain.
If the company goes bust - well there's no money for wages - now that's just stupid - is it not ?

Scoutmaster
wink

 
At 7:05 pm, Anonymous Anonymous said...

That's right Scoutmaster, but it's not only that.
The hotter it is and the longer it takes - thats more carbon emmissions going straight up the funnel.
Thats another good reason to ensure the COWing is done properly, and one probably not even considered when it was introduced back in the 1970's.
COWing sure is the greatest - do it properly.
So you see, there's a bit more to it than just pointing and clicking, as Rob thought at the outset - You have to do more thinking as well.

Seascout.

 
At 8:56 pm, Anonymous Anonymous said...

Quote:Rob:- "Talking Sense."

Are you having a problem ?

or

Are you back to "Normal" ?

Commodore Bond :)

 
At 9:12 pm, Anonymous Anonymous said...

Another Quote

Anonymous said...
Ist Rule becomes

h/3(*+4*+2*+4*+2*+4*+*)
where h is common interval between ordinates

11:14 PM

Is that what confused you ?

You could write it as

h/3(1* + 4* + 2* + 4* + 2* + 4* + 1*)

would it make any difference if you did.

Damned stupid software - pretty well useless for maths.

OK for drivel though.

Seascout :(

 
At 9:29 pm, Anonymous Anonymous said...

If google or someone could come up with software in which participents could draw sketches, tabulate properly, and do mathematical symbols - What a difference it would make.

Elder 1

 
At 10:34 pm, Anonymous Anonymous said...

Quote:-

I must down to the seas again, to the lonely sea and the sky,
And all I ask is a tall ship and a star to steer her by,
And the wheel's kick and the wind's song and the white sail's shaking,
And a grey mist on the sea's face, and a grey dawn breaking.

I must down to the seas again, for the call of the running tide
Is a wild call and a clear call that may not be denied;
And all I ask is a windy day with the white clouds flying,
And the flung spray and the blown spume, and the sea-gulls crying.

I must down to the seas again, to the vagrant gypsy life,
To the gull's way and the whale's way where the wind's like a whetted knife;
And all I ask is a merry yarn from a laughing fellow-rover
And quiet sleep and a sweet dream when the long trick's over.

(Masefield)

Elder II.

 
At 2:31 am, Anonymous Anonymous said...

Strange - but exceptionally relevant Rob.
Think about it !!!!

Justme. :)

 
At 3:35 am, Anonymous Anonymous said...

Hey - Elder I @ 9.29pm
Thats cool
You mean emoticons down one side, mathematical symbols down the other, and a pencil and rubber on the screen.
Wow - that would be fantastic.
I know someone who might be able to do that - but he's away on a passenger ship.

woof woof
snifferdog.

 
At 12:11 am, Anonymous Anonymous said...

grrr

wag wag.

Blackdog

 

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