German). Vol. 1. p. 10. Alle diese Zahlen, so wohl positive als negative, führen den bekannten Nahmen der gantzen Zahlen, welche also entweder größer oder...

the natural numbers as the non-negative integers 0, 1, 2, 3, ..., while others start with 1, defining them as the positive integers 1, 2, 3, ... . Some...

eigenvectors is Edmund Landau. Let positive and non-negative respectively describe matrices with exclusively positive real numbers as elements and matrices...

irrational numbers and Dedekind cuts in his pamphlet "Stetigkeit und irrationale Zahlen" ("Continuity and irrational numbers"); in modern terminology, Vollständigkeit...

with negative and positive numbers, such as "zero plus a positive number is a positive number, and a negative number plus zero is the negative number"...

des Satzes, dass unter allen reellen positiven ganzen Zahlen nur das Zahlenpaar 4 und 2 für a und b der Gleichung ab = ba genügt". Pr. Gymn. Emmerich....

taking the first two positive terms followed by the first negative term, followed by the next two positive terms and then the next negative term, etc.) to give...

dealt with analogously. Now if just one is negative, it must be x or y. If x is negative, and y and z are positive, then it can be rearranged to get (−x)n...

every odd n > 1, Bn = 0. For every even n > 0, Bn is negative if n is divisible by 4 and positive otherwise. The Bernoulli numbers are special values of...

Gauss 1831, p. 98 Hankel, Hermann (1867). Vorlesungen über die complexen Zahlen und ihre Functionen [Lectures About the Complex Numbers and Their Functions]...