The single digits that are their own images under a rotation by an angle whose measure is less than 360 ° .

Question

Design a PDA recognizing each of the following languages and draw its state diagram. Note that the transition function must be in the format of “a, b →c", namely we can only push/pop one symbol into/from the stack one time upon one input symbol. You will receive 0 point if you push/pop multiple symbols into/from the stack one time upon one input symbol. (1) {w|wa"b", n is odd} = (2) {w|w=w², length of w is odd and Σ = {a,b} } (3) {w|w= = a²b²n, n ≥1 } (4) {w|w= =a^bn+mcm, n≥0, m ≥ 1 } (5) {w|w=a²b³n, n≥0} (6) {w|w= = a¹³, n ≥ 1, m≥ 1 and n‡m } Hint: two cases: n > m and n

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Question

Chapter 14.2, Problem 19MC

To determine

To find:

The single digits that are their own images under a rotation by an angle whose measure is less than 360°.

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Design a PDA recognizing each of the following languages and draw its state diagram. Note that the transition function must be in the format of “a, b →c", namely we can only push/pop one symbol into/from the stack one time upon one input symbol. You will receive 0 point if you push/pop multiple symbols into/from the stack one time upon one input symbol. (1) {w|wa"b", n is odd} = (2) {w|w=w², length of w is odd and Σ = {a,b} } (3) {w|w= = a²b²n, n ≥1 } (4) {w|w= =a^bn+mcm, n≥0, m ≥ 1 } (5) {w|w=a²b³n, n≥0} (6) {w|w= = a¹³, n ≥ 1, m≥ 1 and n‡m } Hint: two cases: n > m and n

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