Golden ratio. Watch

SimonM
Badges: 18
Rep:
?
#41
Report 8 years ago
#41
(Original post by Planto)
Without pure mathematics, applied mathematics would essentially be meaningless. That would be bad.
No it wouldn't.
0
quote
reply
Bobifier
Badges: 2
Rep:
?
#42
Report 8 years ago
#42
How does your computer cope with non-parallel lines? The screen is made of pixels, which are discrete, which means the lines never have to meet on a computer screen. Ordinarily, you would cope with this with some fairly bulky and slow mathematics, but as it happens you can use an abstract concept instead - if you have an surface divided into infinitely many infinitessimaly small pixels non-parallel lines will always meet. If you use the mathematics from that but replace instances of infinity with a number more like 10000, the graphics can be worked out quickly and easily. I think it was Ian Stewart who pointed out that pure maths is not useless, it is simply years ahead of any other subject.
0
quote
reply
DFranklin
Badges: 18
Rep:
?
#43
Report 8 years ago
#43
(Original post by Bobifier)
How does your computer cope with non-parallel lines? The screen is made of pixels, which are discrete, which means the lines never have to meet on a computer screen. Ordinarily, you would cope with this with some fairly bulky and slow mathematics, but as it happens you can use an abstract concept instead - if you have an surface divided into infinitely many infinitessimaly small pixels non-parallel lines will always meet. If you use the mathematics from that but replace instances of infinity with a number more like 10000, the graphics can be worked out quickly and easily. I think it was Ian Stewart who pointed out that pure maths is not useless, it is simply years ahead of any other subject.
I'm not sure what you're trying to say here, but I've worked in Computer Graphics for 20 years, and it's not making a lot of sense to me.
0
quote
reply
jam277
Badges: 16
Rep:
?
#44
Report 8 years ago
#44
(Original post by DFranklin)
I'm not sure what you're trying to say here, but I've worked in Computer Graphics for 20 years, and it's not making a lot of sense to me.
Because if there are pixels and the graphics are not much the line would look like a bunch of dots stuck together e.g. when you draw a big line on paint and you see a weird pattern instead of a straight line. If the pixels were more then the line will be more straight. As there is no such thing as a perfectly straight line that is why he was saying that. Hard to explain but simple to understand.
0
quote
reply
DFranklin
Badges: 18
Rep:
?
#45
Report 8 years ago
#45
(Original post by jam277)
Because if there are pixels and the graphics are not much the line would look like a bunch of dots stuck together e.g. when you draw a big line on paint and you see a weird pattern instead of a straight line. If the pixels were more then the line will be more straight. As there is no such thing as a perfectly straight line that is why he was saying that. Hard to explain but simple to understand.
This has nothing to do with how computers cope with non-parallel lines and whether or not they meet. With lines you either don't pay attention to the pixel layout at all (basically treating the problem as pure mathematics), or you do your calculations based directly on the pixel layout (possibly with some subsampling).

In practical terms, discretization to the pixel grid makes no difference to whether or not lines intersect. If you imagine the case of drawing two simple (i.e. single pixel non-antialiased) lines between (0,0) and (1,1) and (0,1) to (1,0), then the discretization means the two lines have no pixels in common. But the typical user would be very shocked to be told they don't intersect.
0
quote
reply
jit987
Badges: 3
Rep:
?
#46
Report 8 years ago
#46
How can maths be pointless without any other subject?
0
quote
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • University of Lincoln
    Mini Open Day at the Brayford Campus Undergraduate
    Wed, 19 Dec '18
  • University of East Anglia
    UEA Mini Open Day Undergraduate
    Fri, 4 Jan '19
  • Bournemouth University
    Undergraduate Mini Open Day Undergraduate
    Wed, 9 Jan '19

Were you ever put in isolation at school?

Yes (232)
27.46%
No (613)
72.54%

Watched Threads

View All