Register to reply 
Does this function have a name?by guysensei1
Tags: function 
Share this thread: 
#1
Jul2114, 08:36 AM

P: 22

A function f(x) where f(x)=length of the graph curve/line from 0 to x
Can this function be expressed in algebraic form or some other form? Does it have a name? 


#2
Jul2114, 09:07 AM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,682

You are talking about a particular way of getting a function, not a specific function so, no, it does not have a name. As one learns in Calculus, the length of the graph of y= f(x), from 0 to x is given by [itex]\int_0^x \sqrt{1+ (f'(t))^2} dt[/itex].



#3
Jul2114, 09:27 AM

P: 1,305




#4
Jul2114, 03:20 PM

P: 545

Does this function have a name?



#5
Jul2114, 10:44 PM

P: 22

What I was looking for is a function that gives itself when the length of curve function is applied. 


#6
Jul2214, 04:37 AM

P: 545




#7
Jul2214, 09:30 AM

P: 235




#8
Jul2214, 11:08 AM

Mentor
P: 3,949




#9
Jul2214, 11:08 AM

P: 545




Register to reply 
Related Discussions  
Integral of delta function multiplied by a Heaviside step function  Calculus & Beyond Homework  0  
Approximating the probability density function from the moment generating function  Set Theory, Logic, Probability, Statistics  6  
Square of the Riemann zetafunction in terms of the divisor summatory function.  Linear & Abstract Algebra  6  
Find the marginal profit function given a function for demand and cost  Calculus & Beyond Homework  3  
A seeming contrdiction in deriving wave function for delta function potential  Quantum Physics  2 