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27 views

Converting from standard to functional, Polish and Reverse Polish notation

I wanted to convert the following expression to Functional, Polish and Reverse Polish notation. $$Y =A + \frac{B+ \dfrac{BA}{B+CA}}{A - \dfrac{BC}{B-C+A}}$$ I know how to do Standard -> Functional ->...
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1answer
27 views

Definition of Polish Topology

Let $\xi$ such that $1 \leq \xi < \omega_1$ and $f$ be of Baire class $\xi$. In this paper (Section $5$), the author defined $$T_{f,\xi}=\left\{ \tau^{\prime} : \tau \subset \tau^{\prime} \text{ ...
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1answer
60 views

Represent unary and functions in postfix notation

I'm currently working on a math evaluator, which works by converting the infix notation to postfix notation and then evaluating the postfix expression. It was going pretty good, until I ran into the ...
2
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1answer
292 views

How to transform expressions in polish-notation

Here is an example of a De Morgan transformation of a logic expression: $ \neg ({a} \wedge {b}) $ becomes $ (\neg {a} \vee \neg {b}) $ My intuitive view of this operation is that I'm "moving the ...
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3answers
54 views

Reverse Polish Notation

For example : a + b - c = abc-+ Why is this correct ? xy - z+ = xyz-- as I understand, it has to be : ...
7
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3answers
140 views

Reverse Polish notation in (abstract) algebra

If I have something like $\phi\circ \psi(x)$ this means first apply $\psi$ and then $\phi$. Going right to left is pretty contrary to my intuition. In computer science some programming languages (and ...
1
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2answers
254 views

Well Formed Expression (Polish Notation)

In Kunen's book Foundation of Mathematics the definition of a well formed expression (wfe) of a lexicon for Polish notation $\langle W, \alpha \rangle$ ($W$ is a set and $\alpha:W\to\omega$ is a ...
2
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1answer
93 views

Abstract Algebra Math notation, kernel

So I defined $$\theta:R \rightarrow R\backslash I$$ by $$\theta(x) = [x]_I$$ and $$\phi: R[x]\rightarrow (R\backslash I)[x]$$ by $$\phi(a_nx^n +\dotsb+a_1x+a_0) = \theta(a_n)x^n+\dotsb+\theta(a_1)...
1
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2answers
190 views

Ambiguity in Reverse Polish notation

Given the infix form: 1 * 2 * 3 What is the Reverse Polish notation? As I see things, two valid answers are: ...
2
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1answer
638 views

Reverse Polish Notation with power

Perhaps I'm just not understanding RPN correctly, but whenever I translate something like 2^2^3 then I get 22^3^ But if I try ...
0
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1answer
62 views

Which One of These Logical Theses Does Not Hold for Relevant Logics With a Connective for Conjunction?

I write in Polish notation and have included fully infixed notation here also which indicates parsing order. For every relevant logic simplification fails: Simplifcation: CpCqp or [p$\rightarrow$(...
1
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2answers
243 views

Reverse Polish Notation and numbers $>9$

Excuse me for the newbish question in advance but how should I make sure I don't make a mistake converting from RPN to infix notation when I don't know if some of the numbers aren't two-digit ones or ...
0
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2answers
308 views

distributive law in polish notation

On page 18 "Logic as Algebra" Halmos&Givant wrote the distributive law in Polish notation as $$ = \times a + bc + \times ab \times ac $$ I fail to see anything remarkable here, is there a ...
1
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1answer
132 views

PEDMAS in RPN needed?

In RPN do we still have to take into note the PEDMAS rules? For example these questions: 3 – 4 * 2 3 * 4 – 2 3 * (4 – 2) (3 – 4) * 2 3 – 4 + 2 Answers 342*- 34*...
1
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2answers
340 views

Calculate an Average in RPN (Reverse Polish Notation)

To calculate an average in reverse polish notation (RPN) is the following correct (assuming a-j are variables representing numbers): ...
0
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1answer
229 views

Is it possible to omit multiplication operator in polish/prefix notation?

In infix notation, (2/2(3+3)) means (2/(2*(3+3)). The multiplication sign is omitted. In polish/prefix notation, is it possible to omit multiplication sign? For instance, is it acceptable to write ( *...
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3answers
527 views

Practicing Polish/Prefix notation

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