For a boolean function we set with respect to :

There are 16 possible boolean functions of two variables.

For gene B, the Boolean function has seven values and one value.

The only canonical way to do this is to extend it with all possible Boolean functions.

Theoretically, there are 22 possible Boolean functions of these m input signals.

The edges must also have some ordering, to distinguish between different arguments to the same Boolean function.

It is important to note that these polynomial relationships are valid only for total Boolean functions.

And similarly for the case when the Boolean function computed by the three identical circuits has value 0.

Specifically we were given a boolean function whose input is 1 bit, and asked if it is constant.

A Boolean function is linear if one of the following holds for the function's truth table:

The following is a Boolean function on the three variables x, y, z:

By definition, P for a Boolean function can vary from .

Decision lists are a representation for Boolean functions.

F is a Boolean function of n variables.

Conversely, any Boolean function with nonlinearity 2 2 is bent.

A Boolean function of n bits is balanced if it takes the value 1 with probability 1 2.

It compared two data streams, counting a statistic based on a programmable Boolean function.

The following pictures represent the Boolean function :

In that case, in general, each gene is a Boolean function of all N genes.

Both are biases on the Boolean functions.

Specifically, natural proofs prove lower bounds on the circuit complexity of boolean functions.

Balanced boolean functions are primarily used in cryptography.

In cryptography, a boolean function is said to be complete if the value of each output bit depends on all input bits.

Shannon had showed that almost all Boolean functions of n variables need a circuit of size at least 2n.

Noise sensitivity of Boolean functions, with applications to dynamical percolation.