freshman’s dream error
The name “freshman’s dream theorem” comes from the fact that people who are unfamiliar with mathematics commonly make the error of distributing exponents over addition and/or subtraction, typically when working in fields of characteristic zero. An example is the equation for . The equation is incorrect unless or . By no means does the exponent need to be a natural number or an integer for this error to occur. An example of this is the equation for with and . This equation can be rewritten using the exponent , and again, the equation is incorrect unless or .
On the other hand, the freshman’s dream theorem yields some instances in which exponents can be distributed over addition and/or subtraction.
|Title||freshman’s dream error|
|Date of creation||2013-03-22 16:07:23|
|Last modified on||2013-03-22 16:07:23|
|Last modified by||Wkbj79 (1863)|