Discrete Mathematics - Problems with Languages

AI Thread Summary
The discussion revolves around computing values based on a defined set of symbols, including a blank denoted by β and a symbol λ. The user expresses frustration after several days of attempting to solve the problems without success, specifically questioning the definition of the notation || and the role of λ in the context of the problem. Clarification is sought on how to interpret the symbols and the operations involved. The conversation highlights the challenges faced in understanding discrete mathematics concepts, particularly in relation to language and symbol manipulation. Overall, the thread emphasizes the need for clearer definitions and guidance in solving the posed problems.
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Let \Sigma = {\beta,x,y,z} where \beta denotes a blank, so x\beta \neq x, \beta \beta \neq \beta, and x\betay \neq xy but x \lambday = xy.

Compute each of the following:

1: \parallel \lambda \parallel
2: \parallel \lambda \lambda \parallel
3: \parallel \beta \parallel
4: \parallel \beta \beta \parallel
5: \parallel \beta3 \parallel
6: \parallel x \beta \beta x \parallel
7: \parallel \beta \lambda \parallel
8: \parallel \lambda 10 \parallel

Uhm.. can someone help me out ? :cry: I've tried like 3 days now (without progress). Discrete math sux :P
 
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How is || defined?
 
You said "\Sigma= {\beta, x, y, z} where \Beta is a blank", but what is \lambda?
 

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