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3 cards from this section. Quick, good the night before a test.
Define a bad sequence in the context of sequence S.
Think of sequences that do not meet the criteria of non-negative sums.
What is the cardinality of set A?
Remember this set includes all combinations of the 1s and -1s.
What describes a bad sequence?
Think about what makes a sequence invalid.
True or False: The reflection method creates an injective mapping.
Reflect on the one-to-one relationship established by this process.
Design a sequence of length 6 involving three 1s and three -1s. Show it's a bad sequence and apply the reflection method to construct S'. What results do you observe in the reconstruction?
Make sure to track where your sums dip low.
Apply subtractive counting to establish a scenario problem with n=5. Create conditions to define valid versus invalid sequences, and derive overall conclusions from counts.
Think of it like evaluating checks and balances within defined counting principles.
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