extended real number
A mathematical term referring to the real numbers augmented with positive and negative infinity. Used in analysis and measure theory.
The extended real numbers include positive infinity and negative infinity.
実数 refers to the ordinary real numbers, while 拡大実数 extends them by adding ±∞.
Compound of 拡大 (かくだい, 'extension') and 実数 (じっすう, 'real number'), directly translating the English mathematical term 'extended real number'.