Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

Topic: Inflection
Replies: 16   Last Post: Jun 19, 2014 1:07 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Marnie Northington

Posts: 712
Registered: 12/13/04
Re: Inflection
Posted: Jun 19, 2014 11:39 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

"quasi" <quasi@null.set> wrote in message
news:v325q9difmb8tvcerh2askpo48dnn8vv0j@4ax.com...
> John Smith wrote:
>>
>>A recent thread about points of inflection reminded me of
>>a function I encountered when I was a math student.
>>
>>The function had many points of inflection but it also had
>>points, which I presume are also called inflection points,
>>where the gradient was infinite (i.e tending to a vertical
>>rather than horizontal line on an x,y graph).
>>
>>I remember the graph looking like a staircase with rounded
>>edges but I have completely forgotten what the function was.
>>It's possible I have not remembered it correctly due to it
>>being so long ago.
>>
>>Can anyone tell me what this function was or give me a
>>similar function?

>
> The curve given by the implicit equation
>
> x - y = sin(x + y)
>
> has the shape you described.


Thanks, that looks very like what I remember but I can't remember whether it
was horizontal or vertical at the origin. It would have had to have been in
a form which I could plot manually on graph paper in less than an hour at
age about 18.

Old Guy

>
> In Wolfram Alpha, try:
>
> plot x - y = sin(x + y)
>
> quasi






Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.