# Questions tagged [proof]

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### FindEquationalProof to prove divisor theorem

I'm trying to implement proofs of concepts for Equational Proofs on some basic number theory theorems. One such example is: "let a and b be positive integers and let d = gcd (a, b). If t divides ...
70 views

### How to prove subspaces of function spaces?

In teaching Linear Algebra, I would like to prove or disprove whether a nonempty subset of a vector space, is a subspace. For this, I would show that the subset is closed under both addition and ...
52 views

### FindEquationalProof with implications

Motivated by this question in mathematics, my Mathematica question is essentially this one, but alas the answer to that isn't quite adequate. I'm not interested in verifying that a proof is valid or ...
132 views

### FindEquationalProof with Logic in Wolfram Mathematica

I try to "make" proof in Wolfram Mathematica. Thats a proof: if a->b and b->c then a->c I tried ...
75 views

### What does this graph mean?

Mathematica 11.3.0 includes a new command FindEquationalProof having good prospects. Studying it, I consider a somewhat modified example from the help ...
40 views

### Proofs and exponents to the N power

I'm still a beginner at Mathematica and I'd like to understand how to use it for proofs. Here is a simple one on exponent properties (a*b)^n == a^n*b^n I tried ...
106 views

### Implementing the field axioms with FindEquationalProof?

I am fiddling around with FindEquationalProof, currently trying to prove some basic statements for fields. I have a set of axioms which almost constitutes the field theory axioms: ...
139 views

### Proving uniqueness of group identity element

Start, as in the Mathematica 11.3 documentation, with: ...
89 views

### Two Dimensional BVP

I am having a hard time in how someone could solve ${d^2V}/{d^2y^2}$+${d^2V}/{d^2x^2}$=0 with the following boundary conditions: V=0 when y=0, V=0 when y=a, V=$V_o$(y) when x=0, V->0 as x-> infinity ...
78 views

### When Reduce yields False for a system of inequalities, can I take this as a formal proof? [closed]

As part of the proof of a proposition in an economics paper, I need to show that a system of inequalities in four variables is inconsistent. Because the system is complicated, I cannot show this ...
78 views

### Can you determine values in a set of integers from a known set sum and set product

Question: There is a set of numbers defined as {A, B, C, D, E} The sum of the set is 49 (A+B+C+D+E = 49) The product of the set is 13000 (ABCDE = 13000) Can you determine the values of A, B, ...
654 views

368 views

### Find integer values of p such that $(2^p - (2^2)(3^2))/ (3^3)$ is an integer

Find integer values of p such that $(2^p - (2^2)(3^2))/ (3^3)$ is an integer.
3k views

### Solving functional equations in Mathematica

I am trying to solve functional equations in Mathematica, but got nowhere. Just a simple example: $$f(x+y)^2=f(x)^2+f(y)^2$$ for all $x,y \in R$, assuming f is a real-valued function. How should I ...
312 views

### How can I prove an equation has a certain number of real roots?

I have this code ...
354 views

### Proving a recurrence in Mathematica

I have $$j_n=\int_0^1 x^{2n} \sin(\pi x)dx.$$ How do I show that $$j_{n+1}= \frac{1}{\pi^2}(\pi- (2n+1)(2n+2)j_n)\, ?$$ I keep getting a recurring integration by parts and I can't simplify it. ...
2k views

### How to prove an expression by method of mathematical induction?

I want to prove the expression $$1^2 + 2^2 + 3^2 + \cdots + n^2 = \dfrac{n(n+1)(2n+1)}{6}$$ by method of mathematical induction with Mathematica, but I do not know how to start. How do I tell ...
494 views

### Proving (self) similarity with Mathematica - Reccurrence Plots, Similarity Plots etc

I posted this question in math.se but given the sheer tumultuous number of questions that keep appearing on math.se and also given that I am trying to accomplish this in Mathematica, I thought I'd ...