# Tag Info

### Wolfram says sum diverges, but Mathematica gives a numerical value for infinite sum

As the message shows, NSum works on limited recursions. Mathematica does not consider the "mathematical converge" when it works on NSum. Therefore Mathematica finds that this sum converges too slowly, ...
• 1,993
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### Wolfram says sum diverges, but Mathematica gives a numerical value for infinite sum

When a command has issues, it is a good idea to check the Possible Issues section of the doc page for the command, in this case NSum. Two of the issues apply to ...
Accepted

### All the food WolframAlpha knows about

Go to a new cell in a notebook and write "=", this will create an orange equality sign in the beginning of the cell. This means that you have entered the free form input mode. Write the name of a food ...
• 70k
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### Why does Mathematica's date for the battle Agincourt differ from the US Navy's?

The date is different because Wolfram Alpha is wrong about when the Battle of Agincourt took place. Alpha is returning 25 October 1415 in the Gregorian calendar as the date of the battle, but the ...
• 12.8k
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### How to make a picture grid of all Nobel Laureates in physics?

Here's something to get you started down to path of scraping the somewhat larger individual pictures from the Nobel website: ...
• 65.8k

### Unit Discovery: Is this some sort of a sick joke?

A bit too long for a comment... My best guess is that WolframAlpha["earth's gravity", "MathematicaResult"] is simply rounding to too few digits. It returns ...
• 35.5k

### All the food WolframAlpha knows about

I remember from last years conference (Wolfram Technology Conference 2015) that there was a presentation on food entities. It doesn't seem to have been recorded but you can get the presentation (Food ...
• 41.7k
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### Proteins, ProteinData, WolframAlpha

Here's a workaround that directly queries the PDB search API and returns the first num search results as a Dataset[]. The ...
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### Differing answers when comparing Wolfram Alpha and Mathematica v.10.2

For large enough bounds, NSum is used. Compare timings: NSum[(-1)^(n + 1)/n, {n, 1, 100000}] // AbsoluteTiming ...
• 35.5k
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### Shading an area enclosed by a loop

maybe something like: ...
• 384k
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### Step by Step for Generalized Eigenvectors?

This is an update to make it handle geometric multiplicity>1. When an eigenvalue has geometric multiplicity=1, then this will use the basic method of solving $(A-\lambda I) v_2 = v_1$ to find the ...
• 137k
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### Can Mathematica solve functional equations with nested variable?

It doesn't seem there is a one line solution but we can adapt W|A to give a result similar to DSolve and friends. ...
• 136k

### How to ask WolframAlpha to find 'x such that p=32*x+1 is prime'

General There are as many solutions as prime numbers If you Solve for $x$ Solve[32 x + 1 == p, x] ...
• 36.2k
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### Is it possible to simulate a solved example in Wolfram for free, How?

I do not use the Wolfram Language at Wolfram Alpha since the syntax is a little different and I have access to Wolfram Mathematica which I prefer to Wolfram Alpha. If you have Wolfram Mathematica, ...
• 137k

### Proteins, ProteinData, WolframAlpha

A quick and dirty is to download the PDB file from the main PDB database (eg Bovine rhodopsin), use the Download button/dropdown on the top right and select Text format then ...
• 784

• 112k
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### Confusion in finding the definite integral

Precision issues. Use one of the following instead. Symbolic integration: ...
• 4,231
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### Why can't I plot two graphs on the same plane in WolframAlpha?

WolframAlpha["plot x^2+y^2=6 and x arctanx -x +y arctan y=0"]
• 151k
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### Why does MMA fail to find a solution but WA does?

First, my stab at W|A gave a different output than the OP (something like what I show for Reduce below, in fact). Second, I'm not sure how to read the W|A output ...
• 233k
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### Exporting results containing Entities to JSON?

You can use "ConversionFunction" / "ConversionRules" for ...
• 136k
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### How to create a find-and-replace code in Mathematica?

You can use StringReplace to define a function to make the replacement and use FixedPointList to get the result of applying the ...
• 384k
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### Convert WolframAlpha output to $\LaTeX$

You can do the following. Once you get the output in Wolfram Alpha web page, say you have typed solve y'+x=0, then in the output window, hover the mouse there, and ...
• 137k

### Facebook Report is not available

Facebook has deprecated the API that Mathematica relied on to gather this information. Official source.
• 70k

### How to create a new "person curve"?

Simon Woods' cool answer is based on two independent discrete Fourier transforms: one for $x$, one for $y$. This answer differs in that it uses only one, but on complex values. It's it not a very big ...
• 14.2k
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### I use WolframAlpha within Mathematica; would there be any advantage to buy Wolfram|Alpha PRO?

W|A Pro over Mathematica: No API call limits. 3,000 for student Mathematica. Using Wolfram's hardward. If you run on a slow PC, tablet, or phone. If you have access to Mathematica, W|A Pro provides ...

### How to ask WolframAlpha to find 'x such that p=32*x+1 is prime'

If you have Mathematica, you can use the FindInstance function, which by definition provides one (or many) solutions to a particular equation: ...
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### Conditional Summations

Sum[Binomial[35, n]*100*If[n > 10, 10, n]*(.1^n*.9^(35 - n)), {n, 0, 35}]
• 31.2k
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### Difference between free-form input via WolframAlpha[] and CTRL+=

Here is the summary from original M8 release page: This guide should also be useful: Free-Form & External Input. While both things you mentioned are a part of integration of Wolfram|Alpha (W|A) ...
• 71.9k