# Function's value is always zero? **URL:** \ **Category:** Questions\ **Tags:** graphics-and-visualization\ **Created:** [July 7, 2023, 9:30am UTC](https://community.wolfram.com/t/functions-value-is-always-zero/22334 "2023-07-07T09:30:49Z")\ **Posts on this page:** 9\ **Page:** 1
**Author:** ![jayashreedasofficial](https://avatars.discourse-cdn.com/v4/letter/j/74df32/32.png) [@jayashreedasofficial](https://community.wolfram.com/u/jayashreedasofficial)\ **Post date:** [July 7, 2023, 9:30am UTC](https://community.wolfram.com/t/functions-value-is-always-zero/22334/1 "2023-07-07T09:30:49Z")
![Screenshot2023-07-07at14-56-29new_I2.nb-mmm.pdf.png](https://global.discourse-cdn.com/wolfram/original/3X/b/b/bbabc1f2590b0ff0a143b5fb48d11ca229eb4db7.png) ---
**Author:** ![gianlucagorni](https://avatars.discourse-cdn.com/v4/letter/g/ec9cab/32.png) [@gianlucagorni](https://community.wolfram.com/u/gianlucagorni)\ **Post date:** [July 7, 2023, 10:15am UTC](https://community.wolfram.com/t/functions-value-is-always-zero/22334/2 "2023-07-07T10:15:06Z")
Your function contains extremely large or small numbers. The result may be meaningless if you are not very careful. ---
**Author:** ![wolframcommunity](https://yyz1.discourse-cdn.com/wolfram/user_avatar/community.wolfram.com/wolframcommunity/32/8335_2.png) [@wolframcommunity](https://community.wolfram.com/u/wolframcommunity)\ **Post date:** [July 7, 2023, 11:36am UTC](https://community.wolfram.com/t/functions-value-is-always-zero/22334/3 "2023-07-07T11:36:36Z")
Welcome to Wolfram Community! Please make sure you know the rules: [https://wolfr.am/READ-1ST](https://wolfr.am/READ-1ST) The rules explain how to format your code properly. Posting code Images doesn’t help other members to copy your code. Please **EDIT** your post and make sure code blocks start on a new paragraph and look framed and colored like this. ``` int = Integrate[1/(x^3 - 1), x]; Map[Framed, int, Infinity] ``` You can also embed notebook or attach notebook. ![Editor_WC_3.png](https://global.discourse-cdn.com/wolfram/original/2X/7/7bf045a0ac3b80bb1001ef8ca9b41d21ad36528c.png) ---
**Author:** ![jayashreedasofficial](https://avatars.discourse-cdn.com/v4/letter/j/74df32/32.png) [@jayashreedasofficial](https://community.wolfram.com/u/jayashreedasofficial)\ **Post date:** [July 7, 2023, 2:24pm UTC](https://community.wolfram.com/t/functions-value-is-always-zero/22334/4 "2023-07-07T14:24:29Z")
The attached screenshot is the result from mathematica 13.1 but I am attaching the program code of mathematica 9. There I have the plot of normalized wave function. So for all values of n it should give me 1 if we check the normalization of a individual state by integrating again. But the catch is that, when I tried to recheck the normalized condition of a state then for the lower values (n\<15) it’s giving the result 1. But the integration value is increasing (\>1) from n=15 and so on.. I checked here for n=51. Then the value was of the order of 10^46. Why does this type of contradiction occur? Please help me.. Please.. ![Screenshot2023-07-07at19-35-59I2.nb-I2.pdf.png](https://global.discourse-cdn.com/wolfram/original/3X/a/d/ad56df9896dac0287aba4b1ab7b92338995d9fa9.png) ---
**Author:** ![dontdont9](https://avatars.discourse-cdn.com/v4/letter/d/54ee81/32.png) [@dontdont9](https://community.wolfram.com/u/dontdont9)\ **Post date:** [July 7, 2023, 2:26pm UTC](https://community.wolfram.com/t/functions-value-is-always-zero/22334/5 "2023-07-07T14:26:11Z")
β=4954/1000; μ=1156/100\*10^4; r0=503/100; d=0057/1000; [HBar]=1; α=16/10; nmax=116; λ=Sqrt[2 μ d r0^2/(β^2 [HBar]^2)]; s[n\_]=2 λ-2 n-1; NN[n\_]=Sqrt[β s[n] Gamma[n+1]/(Gamma[2 λ-n] r0)]; ξ[r\_]=2 λ E^(-β(r/r0-1)); ψnλ[r\_,n\_]=NN[n] E^(-ξ[r]/2) ξ[r]^(s[n]/2) LaguerreL[n,s[n]ξ[r]]; Plot[Abs[ψnλ[r,0]]^2,{r,0,6},PlotRange-\>All] ![graph.jpg](https://global.discourse-cdn.com/wolfram/original/3X/f/6/f602f254e40c602afce7a80a1a43f9affb48ec58.jpeg) ---
**Author:** ![jayashreedasofficial](https://avatars.discourse-cdn.com/v4/letter/j/74df32/32.png) [@jayashreedasofficial](https://community.wolfram.com/u/jayashreedasofficial)\ **Post date:** [July 7, 2023, 2:34pm UTC](https://community.wolfram.com/t/functions-value-is-always-zero/22334/6 "2023-07-07T14:34:42Z")
What version of Mathematica have you used sir? Some results were coming in Mathematica 9. I am attaching that.. But there was a problem. There I have the plot of normalized wave function for all n up to n=nmax. So for all values of n it should give me 1 if I check the normalization of a individual state by integrating again. But the catch is that, when I tried to recheck the normalized condition of a state then for the lower values (n\<15) it’s giving the integration value 1. But this value is increasing (\>1) from n=15 and so on.. I checked here for n=51. The value is of the order of 10^46. Why does this type of contradiction occur? Please help me.. Please.. ![Screenshot2023-07-07at19-35-59I2.nb-I2.pdf.png](https://global.discourse-cdn.com/wolfram/original/3X/a/d/ad56df9896dac0287aba4b1ab7b92338995d9fa9.png) ---
**Author:** ![gianlucagorni](https://avatars.discourse-cdn.com/v4/letter/g/ec9cab/32.png) [@gianlucagorni](https://community.wolfram.com/u/gianlucagorni)\ **Post date:** [July 8, 2023, 6:02pm UTC](https://community.wolfram.com/t/functions-value-is-always-zero/22334/7 "2023-07-08T18:02:38Z")
You typed `LaguerreL[n,s[n]ξ[r]]` instead of `LaguerreL[n,s[n],ξ[r]]`? ---
**Author:** ![dontdont9](https://avatars.discourse-cdn.com/v4/letter/d/54ee81/32.png) [@dontdont9](https://community.wolfram.com/u/dontdont9)\ **Post date:** [July 8, 2023, 7:48pm UTC](https://community.wolfram.com/t/functions-value-is-always-zero/22334/8 "2023-07-08T19:48:03Z")
Thank you for catching my mistake. When I correct that and I remove my 10^300 scaling factor then the plot matches and the integral is almost exactly 1.0 ---
**Author:** ![jayashreedasofficial](https://avatars.discourse-cdn.com/v4/letter/j/74df32/32.png) [@jayashreedasofficial](https://community.wolfram.com/u/jayashreedasofficial)\ **Post date:** [July 9, 2023, 7:52am UTC](https://community.wolfram.com/t/functions-value-is-always-zero/22334/9 "2023-07-09T07:52:08Z")
Please help me to plot the function correctly. Why is there so much contradiction for all the versions?