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You are closer, but more than 200 away.
How about ?
Prove that:
Are you sure the equation is correct, Bobby? I tried s=7, and that ended up way off.
But I probably don't understand the question.
Hi Bobby,
Not close.
Is close?
Yes...I just saw where I went wrong (overlooked 'some' options).
Not close.
Do you mean that it wasn't close to the answer to the original problem before that additional constraint?
f >= e >= d >= c >= b >= a >= 0
Is ">=" the same as "≥"? That's what I took it to be.
Edit: And that:-
f ≥ e,
e ≥ d,
d ≥ c,
c ≥ b,
b ≥ a, and
a ≥ 0
a,b,c,d,e,f < 11
I take it that means that each of those letters is less than 11.
Oops! Wonder where I went wrong. Back to the drawing board! (later)
How close was my first answer? (Just wanna see if I'm on the right track)
Hey! Did you add "a,b,c,d,e,f < 11" later, Bobby? Maybe I missed seeing that... (I'll have to look at that later).
Hi Bobby,
How many total integer solutions are there to the equations?
Is the answer ?
. I had to look up "Moser" and found a definition, but I've got no idea what it means.
#1982 & #1983...the difference between "google" and "googol", and "Googleplex" and "googolplex":
Hi Bobby,
Is there a problem that I can get that Jane or you can't get almost before I finish posting it?
For Jane, I think your only hope is to work out her sleep pattern and to post your puzzle just after she's gone to bed.
For me, just post anything that needs maths knowledge above year 4 high school level...but there's also a good chance that I've forgotten what I learnt up to that stage too.
Hi Bobby,
I got the same as you, and did it like
Hi 1a2b3c2212 & quittyqat,
Could you give an example (maybe upload a graphic) of what you are trying to do?
Here's a link that might help: Powerpoint diagrams in Word
It's more restrictive than doing the same thing in the Open Office Draw/Writer combination, but may be an option if you have to stay in Word. You could also create the drawing in Draw and copy it into Word (ie, if Word can't draw what you want), from which you will have some limited editing options.
Most of what can be done in Paint can be done in Draw and Word.
is it possible to put in complicated geometrical shapes into MS Word without manually drawing them?? eg put a pair of parallel lines or put in angle
It's very easy to create parallel lines in Word: draw one (optionally set it to the angle you want via Format AutoShape/Size/Rotate), then copy/paste it. You can also align them together, or with other objects, by using the Drawing toolbar's aligning tools. If you've activated "Drawing Grid/Object Snapping/Snap objects to other objects", the object you move will snap to other objects.
These features, and many more, are accessed from the Drawing toolbar, which in v2007 opens automatically when you draw a shape, and in older versions, such as XP or 2003, opens via View/Toolbars/Drawing.
Hi Bobby,
Clare's maths class
I would presume so, 1a2b3c2212, but I don't know for sure. I have XP Home and both run fine together (eg, M$ Word & OOo Draw open at the same time so I can copy/paste from one to the other).
Hi Bobby,
Thanks for that link. I had a quick look at it (I'll have a better one later), and saw a couple of things that I know Word can't do...one of which I'm particularly interested in. I suppose I could create it in Draw and then try porting it over into Word.
I've used the M$ Office suite for many years and it meets most of my word processing and spreadsheet needs (I don't use the other applications much). I haven't given OOo much of a go because my Excel and Word files (I have many) don't transfer over to it properly and I'd have to do more tinkering to get them working in OOo than I want to spend the time and effort on.
Maybe I'll try again some time, and hopefully by then that problem will be fixed.
Hi 1a2b3c2212,
I have OOo v3.0.1, which is a 142MB file. It installed as a 350MB program.
I've never imported geometrical shapes into Word (I have v2007), but I use its drawing tools frequently and find them easy, intuitive and accurate for my type of use (eg, drawing a large variety of shapes to size, rotating them to a specified angle, aligning them with other objects, choosing fill and line colour and weight, distributing them evenly vertically and horizontally...and there are many, many other drawing features too).
I've not used OOo for drawing because I'm too comfortable with Word, but from a quick look at it tonight it seems to do similar. The two programs will have their individual strengths and weaknesses, no doubt.
A few minutes ago I used copy/paste to import something into Word that I drew in ProgeSoft (a CAD program), but Word would only accept it as a picture. ie, I couldn't separate the drawing components into individual editable shapes. Right-clicking on the picture and selecting 'Edit' opened ProgeSoft, so I could do the editing there if I wanted to...but not in Word itself.
But I could edit in OOo Draw! Draw has a 'Break' function (via right mouse-click) that splits the pasted object into its individual components...all editable! Handy if you need to edit something for which you haven't got the program that created it (or some other compatible one).
I can't see myself ever using that feature, but it might do the job you're after.
Here's something I drew in Word...just to show it doesn't only process words:
You're definitely one up on me there, quittyqat. I wouldn't have thunk that thought at all because I hadn't even heard of "triskaidekaphobic" before today, and only stumbled across it while researching that unmentionable number.
I thought it not unwise to not mention the number again here in case there might be more than no triskaidekaphobes who won't not read this.
Hi Tigeree,
...unless he's been taken captive
I'm writing from my study, where my computer keeps me captive for longer than I should allow.
...this reptile that's supposedly trying to eat me
You're quite safe, as long as the eating never becomes more real than 'supposedly'!
Anyway, the lingering reptile thought is just an aberration, as Bobby tossed that beast into the Vending Machine. Say goodbye to it!
Hi quittyqat,
Heyyy... did you see them?
Yes!
I didn't know what you meant at first about there still being more questions, and went hunting. Having read a lot of your posts and noticing some of their sideways content helped me to track down those elusive bonus questions. Nice touch!
The 'unlucky' tag for the number 13 is not universal. In some countries it is actually held to be lucky, and many people in countries other than those also consider it to be lucky. In 'reality' it's only unlucky if something unlucky happens.
Are you truly triskaidekaphobic? How did you cope while you were 13? (I'm assuming something there). What about multiples of 13 and numbers whose digit sum or product is 13 or a multiple of 13? Do you walk past a house that is #13 (which is as bad as walking under a ladder or having a black cat cross your path), or do you cross the street to the even-number side until you get to #26 (2*13)? etc, etc.
Hi careless25,
I actually know a site that does prime factorization quite fast for the number of digits that are provided in this puzzle.
Check out http://www.wolframalpha.com
That program is blindingly fast!!
It took just 4 seconds to factorize 5465753633455838633829572499188306499 into its 5 distinct prime factors (including a 19-digit prime) and print out its 32 divisors!
I've now linked to it...thanks!
The results are copyable too...in 3 forms of plain text.
Hi Bobby,
I thought that basing the answer to this 7-number puzzle on the (currently) highest-scoring 6-number one would be a good place to start...but I have no way of proving maximums for either form.
I've tried several other options since, including a central 2, 3 and 4, but got nowhere.
Hi Bobby,
76.
This one's just a variation of my pattern for the 6-number daisy that scored 46 in the Number Daisy and Proof? thread. I haven't tried any other options yet.