Question: Suppose that we create a new vector V by taking the bitwise - AND of the vectors V 1 and V 2 , i .

Suppose that we create a new vector V by taking the bitwise

-

AND of the vectors V

1

and V

2,

i

.

e

.,

any particular bit in V is the boolean AND of the corresponding bits in V

1

and V

2 .

Show that the bit vector V along with the hash functions H is a Bloom filter for the set S

1

S

2

whose false positive rate is the larger among the false positive rates of the filters B

1

and B

2 .

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