Freshman's dream
In mathematics, the freshman's dream, also known as freshman exponentiation, the child's binomial theorem, (rarely) the schoolboy binomial theorem, or the Frobenius identity is the generally-false equation (x + y)n = xn + yn. Beginning students commonly make this error in computing the power of a sum of real numbers, falsely assuming powers distribute over sums.
Freshman's dream - Wikipedia Jump to content From Wikipedia, the free encyclopedia Mathematical fallacy An illustration of the Freshman's dream in two dimensions. Each side of the square is X+Y in length. The area of the square is the sum of the area of the yellow region (=X 2 ), the area of the green region (=Y 2 ), and the area of the two white regions (=2×X×Y). In mathematics, the freshman's dream , [ 1 ] [ 2 ] [ 3 ] [ 4 ] also known as freshman exponentiation , [ 4 ] [ 5 ] the child 's binomial theorem , [ 6 ] (rarely) the schoolboy binomial theorem , [ 7 ] or the Frobenius identity [ 3 ]
related reading
- Benford's law - Wikipediaen.wikipedia.org
- Math & Engineeringxn--2-umb.com
- Arnold's proof of Abel-Ruffiniweb.williams.edu
- Primary decomposition - Wikipediaen.wikipedia.org
- Proof of Fermat Last Theorem FROM SCRATCHyoutube.com
- Schröder–Bernstein theorem - Wikipediaen.wikipedia.org
- Classic Fallacies -- All People in Canada are the Same Agemath.toronto.edu
- FOIL method - Wikipediaen.wikipedia.org
- my favorite proof of fermat's little theoremblog.kayleesk.com
- The Riemann hypothesis (or, how to earn $1 million)hidden-phenomena.com
- nullstellensatzweb.math.princeton.edu
- Perron–Frobenius theorem - Wikipediaen.wikipedia.org