Numeric computation usually uses floating point numbers. Symbolic computations use symbols, and can give exact answers, such as $\sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}$. Mathematica, Maple, and Geometry Expressions all use symbolic computation, when desired. An online source is WolframAlpha.
Questions tagged [symbolic-computation]
272 questions
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Comparing two numbers in symbolic form
How can I compare two numbers in symbolic form? For example, how can I prove, that $ln(2)\times\sqrt5
Martin Schmied
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What would be a more compact way to write this equation
I have an equation
$$E=\frac{1}{2}k(\varphi_1-\varphi_2)^2+\frac{1}{2}k(\varphi_2+\varphi_3)^2+\frac{1}{2}k(\varphi_4-\varphi_3)^2$$
that looks quite compact already but the problem is that the equation above is written for $n=4$. Notice that for…
skrat
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Is there a mathematical symbol that tells you at which index the sign in the sum should change
Let's say I want to write the following sum in a more compact way
$$a=z_1+z_2+\dots +z_{n/2}-z_{n/2+1}-z_{n/2+2}-\dots -z_{n}$$
Is there some kind of syntax to write that in a more compact way... Something like $$a=\sum _i ^{n}z_i$$ but with some…
skrat
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How to express the following in mathematical symbols?
I have three types of measurements that will conditionally increment an X value given that the initial X value is zero. The three measurements are:
E = e-value
I = Percent Identity
A = Alignment length
The condition is:
If E lower or equal than 3…
andresito
- 103
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Two integrals from analysis
Let build a set $A$ by this rule: for $i$ from $0$ to $n - 1$ with probability of $\frac{1}{2}$ we add this number to set $A$.
Then we generate set $B = A + A := \{a_1 + a_2: a_1 \in A, a_2 \in A\}$
And the question is to find upper bound on…
Ivan
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Need help figuring out $\frac{d}{dx}(x^2)|{x=3}$
Okay, I punched this into my new calculator:
$$\frac{d}{dx}(x^2)|{x=3}$$
and it all is equal to $6$. What is this called and/or what does it do?
Gᴇᴏᴍᴇᴛᴇʀ
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