1+2+3..+ 100=( 1+ 100)+(2+99)..(50+5 1)= 10 1*50=5050

The above is the summation formula. Sum formula,

The origin of Gaussian algorithm

In a math class, the teacher asked the students to practice arithmetic. So let them work out the number 1+2+3+4+5+6+ ... one hour+100.

Only Gauss in the class gave the answer in less than 20 minutes, because he thought of using (1+100)+(2+99)+(3+98) ...+(50+51) ... * * There are 50 65438. Later, people called this simple algorithm Gaussian algorithm.

Gauss

Johann Carl Friedrich Gauss (Johann Carl Friedrich Gauss,1April 30, 777-1February 23, 855)

Gauss ranks alongside Archimedes and Newton as the three greatest mathematicians in the world. He made great achievements in his life, with 1 10 achievements named after his name "Gauss", which is the highest among mathematicians.

He is a famous mathematician, physicist, astronomer and geodetic scientist in Germany. He is one of the founders of modern mathematics, considered as one of the most important mathematicians in history, and enjoys the title of "Prince of Mathematics".

He made contributions to number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, mechanics, electrostatics, astronomy, matrix theory and optics.