Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [wolfram-alpha]

For mathematical questions related to the usage of WolframAlpha.

WolframAlpha is an answer-engine developed by Wolfram Research that answers factual queries by directly computing the answer from structural data. Note that questions on how to use Mathematica should be asked on Mathematica Stack Exchange.

698 questions
14
votes
2 answers

What is the meaning of a number's "representation" on Wolfram Alpha?

When searching a number on Wolfram Alpha, one of the results is its representation. For example, for 8549: 8549 has the representation 8549 = $5·2^6·3^3-91$. Similarly for 75290: 75290 has the representation 75290 = $3·2^9·7^2+26$. What is the…
Kobi
  • 241
13
votes
4 answers

The last few digits of $0^0$ are $\ldots0000000001$ (according to WolframAlpha).

Can anybody explain how this comes about?
Řídící
  • 3,210
10
votes
1 answer

variable bounds on definite integrals in Wolfram|Alpha

I often have trouble getting Wolfram|Alpha to compute definite integrals with variable bounds, and I'm wondering whether I'm missing something. Some examples: $\int_a^b \sin x\mathrm dx$ and $\int \arcsin x \mathrm dx$ work fine; $\int_0^a \arcsin x…
joriki
  • 238,052
8
votes
4 answers

Wolframalpha - how to get value of function in a specific point?

For example , given this function - $f(x) = x^3-x^2-x-1$ and I want to check it in the point $x=1.6$. What should I have to write in the command line of wolframalpha in order to get it ?
URL87
  • 391
6
votes
4 answers

Why WolframAlpha Result is Different?

http://www.wolframalpha.com/input/?i=x%3D10%5E-15%3B+%28e%5Ex-1%29%2Fx When i click Approximate Form in result, the result is: 1.11022 but when i click More…
user50334
  • 163
6
votes
0 answers

How wolfram defines injectivity?

I was looking for a fast way of getting which function is surjective and injective. So I tried to find such command in wolfram and surprisingly it says to me that $ln(x)$ is not injective. Link to proof:…
Mesmerized student
  • 1,429
4
votes
1 answer

How can I input a function $f$ and then evaluate an expression like $f(a) - f(b)$ in WolframAlpha?

Is there a WolframAlpha command that would allow me to input a function and then evaluate an expression containing it? For instance I have a lengthy function like $f(x) = \frac{x^3 + \sin(x)}{\arcsin(x) + \frac{2}{x}} $ and I don't want to evaluate…
Matt
  • 389
3
votes
2 answers

Behavior of $f(x) = \sum_{n=1}^x \frac{1}{n}$

I plotted the function $$f(x) = \sum_{n=1}^x \frac{1}{n}$$ in Wolfram Alpha over $x\in\mathbb{R}$ and it gave me some unexpected behavior for negative $x$. This function is obvious for $x\in\mathbb{N}$. Can anyone explain how Wolfram Alpha is…
Erik M
  • 2,391
3
votes
0 answers

How can I compute a fourier series with Wolfram alpha?

How can I compute the Fourier series of a function on a interval using Wolfram ? For example, the Fourier of $f(x)=x^2$ on $[0,2\pi]$ prolonged on $\mathbb R$ by $2\pi$ periodicity. For example, if I put FourierSeries[x^2,x,n], Wolfram will give me…
user621345
  • 674
3
votes
1 answer

Why does conversion from base $b_1$ to $b_2$ give this strange result in Wolfram Alpha?

I was trying to convert the $5$-ary number $44444444_5$ to base $25$ using Wolfram Alpha: 44444444 from base 5 to base 25 Curiously, I got the result $0000_{25}$. Clearly, $0\times25^{3}+0\times25^{2}+0\times25^{1}+0\times25^{0}$ does not equal…
Klangen
  • 5,075
3
votes
1 answer

Plot multiple functions with log axis on Wolfram Alpha

I want to plot two functions on the same graph using a log y axis on Wolfram Alpha, but I can't find a way to do this. I've tried things like log plot 2^(3x-1), e^x, x=1..10, but this doesn't work (despite plot 2^(3x-1), e^x, x=1..10 working…
DyedPurple
  • 33
2
votes
1 answer

Specifying complex domain in Wolfram Alpha

Hopefully this kind of question is ok, have seen a couple of other WA-queries that hasn't been downvoted. Apologies if not. I'm trying to find the max/min of a complex function over certain domains, the unit disk or circle for example. It doesn't…
Benjamin Lindqvist
  • 3,112
2
votes
2 answers

Label x axis in radians WolframAlpha

I am trying to graph a trig function in WolframAlpha. I want the x axis to show radians. It will do this for a basic function, such as $y=\sin x$, but for many functions it will just label the x axis from -10 to 10. I have googled this and this is…
mikoyan
  • 1,135
2
votes
1 answer

WolframAlpha syntax - evaluate series at a point

I am looking for syntax for WolframAlpha, which would evaluate a series at a given point. My goal is to have a sheet of practice exercises with links to solutions in WolframAlpha. Example problem: Approximate the value of $\sqrt{102}$ using Taylor…
Lukáš Mrazík
  • 97
2
votes
2 answers

Wolfram: doing substitution on indexed terms

I have sx = Sum[Indexed[x, i], {i, 1, 10}]^2 // Expand It expands in sum of 55 terms, from which $x_i^2$ - 10 terms, actual representation: $x_1^2+x_2^2+x_3^2+...$ $2 \cdot x_i \cdot x_{i+1}$ - 9 terms, actual representation: $2 x_1 x_2 + 2 x_2…
Paul Vetrov
  • 21
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