Math is Weird

Yes, weird!  Three lines can not all be perpendicular to each other, but 
signals can all be orthogonal.  What's up with that?  Why doesn't 
someone fix geometry?

-- 

Rick

On Sat, 28 Nov 2015 17:32:13 -0500, rickman wrote:

> Yes, weird!  Three lines can not all be perpendicular to each other, but
> signals can all be orthogonal.  What's up with that?  Why doesn't
> someone fix geometry?

Every vertex of a cube has three orthogonal lines all coming to a point.

Three lines cannot be perpendicular in a 2-dimensional space.

If you have N orthogonal signals, that pretty much defines an N-
dimensional space.

-- 
www.wescottdesign.com

>Yes, weird!  Three lines can not all be perpendicular to each other, but

>signals can all be orthogonal.  What's up with that?  Why doesn't 
>someone fix geometry?
>
>-- 
>
>Rick

Yes, Math is weird, but not for that.  No fixing needed there, just an
expansion of your space.  

What's really weird, at least to me, is that there are just as many
integers as there are fractions.

Extra credit question:  Is weirdness orthogonal to usefulness?

Ced


---------------------------------------
Posted through http://www.DSPRelated.com

Cedron wrote:
>> Yes, weird!  Three lines can not all be perpendicular to each other, but
>
>> signals can all be orthogonal.  What's up with that?  Why doesn't
>> someone fix geometry?
>>
>> --
>>
>> Rick
>
> Yes, Math is weird, but not for that.  No fixing needed there, just an
> expansion of your space.
>
> What's really weird, at least to me, is that there are just as many
> integers as there are fractions.
>

Not really. The "many" there are "just as" isn't
bounded so "how many" kind of doesn't make sense, in a way. We
give that quantity names, but it lacks a concrete value.

It's "set X has a one-to-one-and-onto map with the integers."

> Extra credit question:  Is weirdness orthogonal to usefulness?
>

I'd say no. Some of the most useful concepts are pretty weird.

> Ced
>
>
> ---------------------------------------
> Posted through http://www.DSPRelated.com
>

-- 
Les Cargill

On 11/29/2015 12:07 AM, Les Cargill wrote:
> Cedron wrote:
>>> Yes, weird!  Three lines can not all be perpendicular to each other, but
>>
>>> signals can all be orthogonal.  What's up with that?  Why doesn't
>>> someone fix geometry?
>>>
>>> --
>>>
>>> Rick
>>
>> Yes, Math is weird, but not for that.  No fixing needed there, just an
>> expansion of your space.
>>
>> What's really weird, at least to me, is that there are just as many
>> integers as there are fractions.
>>
>
> Not really. The "many" there are "just as" isn't
> bounded so "how many" kind of doesn't make sense, in a way. We
> give that quantity names, but it lacks a concrete value.
>
> It's "set X has a one-to-one-and-onto map with the integers."
>
>> Extra credit question:  Is weirdness orthogonal to usefulness?
>>
>
> I'd say no. Some of the most useful concepts are pretty weird.

I disagree.  Much like Schrodinger's cat being observed collapses the 
state to a defined value, finding a use for a weird mathematical concept 
nulls out its weirdness.

-- 

Rick

On 2015-11-29 01:42, Cedron wrote:
>> Yes, weird!  Three lines can not all be perpendicular to each other, but
> 
>> signals can all be orthogonal.  What's up with that?  Why doesn't 
>> someone fix geometry?
>>
>> -- 
>>
>> Rick
> 
> Yes, Math is weird, but not for that.  No fixing needed there, just an
> expansion of your space.  
> 
> What's really weird, at least to me, is that there are just as many
> integers as there are fractions.

"Weird" is in the eyes of the be(er)holder...

I do not thin it is weird, it is just like it is.

It might be "counter-intuitive", but intuition and
mathematics are really different things.
Almost orthogonal...

bye,

-- 

piergiorgio

rickman wrote:
> On 11/29/2015 12:07 AM, Les Cargill wrote:
>> Cedron wrote:
>>>> Yes, weird!  Three lines can not all be perpendicular to each other,
>>>> but
>>>
>>>> signals can all be orthogonal.  What's up with that?  Why doesn't
>>>> someone fix geometry?
>>>>
>>>> --
>>>>
>>>> Rick
>>>
>>> Yes, Math is weird, but not for that.  No fixing needed there, just an
>>> expansion of your space.
>>>
>>> What's really weird, at least to me, is that there are just as many
>>> integers as there are fractions.
>>>
>>
>> Not really. The "many" there are "just as" isn't
>> bounded so "how many" kind of doesn't make sense, in a way. We
>> give that quantity names, but it lacks a concrete value.
>>
>> It's "set X has a one-to-one-and-onto map with the integers."
>>
>>> Extra credit question:  Is weirdness orthogonal to usefulness?
>>>
>>
>> I'd say no. Some of the most useful concepts are pretty weird.
>
> I disagree.  Much like Schrodinger's cat being observed collapses the
> state to a defined value, finding a use for a weird mathematical concept
> nulls out its weirdness.
>

:) It's still weird.


-- 
Les Cargill

On Sunday, November 29, 2015 at 11:32:13 AM UTC+13, rickman wrote:
> Yes, weird!  Three lines can not all be perpendicular to each other, but 
> signals can all be orthogonal.  What's up with that?  Why doesn't 
> someone fix geometry?
> 
> -- 
> 
> Rick

and so is Maths

On Sun, 29 Nov 2015 12:31:15 -0800 (PST), gyansorova@gmail.com wrote:

>On Sunday, November 29, 2015 at 11:32:13 AM UTC+13, rickman wrote:
>> Yes, weird!  Three lines can not all be perpendicular to each other, but 
>> signals can all be orthogonal.  What's up with that?  Why doesn't 
>> someone fix geometry?
>> 
>> -- 
>> 
>> Rick
>
>and so is Maths

...so are Maths...?   ;)


Eric Jacobsen
Anchor Hill Communications
http://www.anchorhill.com

On 11/29/2015 6:11 PM, Eric Jacobsen wrote:
> On Sun, 29 Nov 2015 12:31:15 -0800 (PST), gyansorova@gmail.com wrote:
>
>> On Sunday, November 29, 2015 at 11:32:13 AM UTC+13, rickman wrote:
>>> Yes, weird!  Three lines can not all be perpendicular to each other, but
>>> signals can all be orthogonal.  What's up with that?  Why doesn't
>>> someone fix geometry?
>>>
>>> --
>>>
>>> Rick
>>
>> and so is Maths
>
> ....so are Maths...?   ;)

and so BE Maths... :)

-- 

Rick