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The classical finite-difference approximations for numerical differentiation are ill-conditioned. However, if is a holomorphic function, real-valued on the real line, which can be evaluated at points in the complex plane near , then there are stable methods.
Al-Khwarizmi introduced systematic methods for transforming equations, such as moving a term from one side of an equation into the other side. [30] The term algebra is derived from the Arabic word al-jabr meaning 'the reunion of broken parts' that he used for naming one of these methods in the title of his main treatise. [31] [32]
Learning is the process of acquiring new understanding, knowledge, behaviors, skills, values, attitudes, and preferences. [1] The ability to learn is possessed by humans, non-human animals, and some machines; there is also evidence for some kind of learning in certain plants. [2]
The forward slash is still common in many dialects for some fixed expressions—such as in w/ for "with" or A/C for "air conditioning"—while only infrequently being used to abbreviate new terms. The apostrophe is common for grammatical contractions (e.g. don't , y'all , and ain't ) and for contractions marking unusual pronunciations (e.g. a ...
The canal is 193.30 km (120 + 1 ⁄ 8 mi) long, 24 metres (79 feet) deep and 205 m (673 ft) wide as of 2010. It consists of the northern access channel of 22 km (14 mi), the canal itself of 162.25 km (100 + 7 ⁄ 8 mi) and the southern access channel of 9 km (5 + 1 ⁄ 2 mi). The canal is a single lane with passing places in the Ballah By-Pass ...