Mathematica > Mathematics and Algorithms > Discrete Mathematics > Boolean Computation > Nor >
Mathematica > Mathematics and Algorithms > Logic & Boolean Algebra > Boolean Computation > Nor >
Mathematica > Mathematics and Algorithms > Graphs & Networks > Graph Programming > Boolean Computation > Nor >

Nor

Nor
is the logical NOR function. It evaluates its arguments in order, giving False immediately if any of them are True, and True if they are all False.
  • Nor has attribute HoldAll, and explicitly controls the evaluation of its arguments. In Nor the are evaluated in order, stopping if any one of them is found to be True. »
  • Nor gives symbolic results when necessary, removing initial arguments that are False.
Enter using Esc nor Esc:
In[1]:=
Click for copyable input
Out[1]=
 
Enter using Esc nor Esc:
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]//InputForm=
Nor with explicit True or False arguments will simplify:
Nor evaluates its arguments in order, stopping when an argument evaluates to True:
Symbolic transformations may not preserve argument ordering or Nor operations:
TraditionalForm formatting:
Find the Nor of two regions:
A cellular automaton based on Nor:
Simplify trees involving Nor:
Find the area of the complement of the union of sets given by algebraic conditions:
This shows the set:
Truth table for Nor:
Use BooleanConvert to expand in terms of And and Not:
The negation of Nor is equivalent to Or:
Nor of conditions in Boole functions:
New in 4.1
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team
Format:   HTML  |  CDF