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The natural logarithm of e itself, ln e, is 1, because e 1 = e, while the natural logarithm of 1 is 0, since e 0 = 1. The natural logarithm can be defined for any positive real number a as the area under the curve y = 1/x from 1 to a [4] (with the area being negative when 0 < a < 1). The simplicity of this definition, which is matched in many ...
In mathematics, the common logarithm (aka "standard logarithm") is the logarithm with base 10. [1] It is also known as the decadic logarithm , the decimal logarithm and the Briggsian logarithm . The name "Briggsian logarithm" is in honor of the British mathematician Henry Briggs who conceived of and developed the values for the "common logarithm".
The logarithm is denoted "log b x" (pronounced as "the logarithm of x to base b", "the base-b logarithm of x", or most commonly "the log, base b, of x "). An equivalent and more succinct definition is that the function log b is the inverse function to the function x ↦ b x {\displaystyle x\mapsto b^{x}} .
Newton's introduction of the notions "fluent" and "fluxion" in his 1736 book. A fluent is a time-varying quantity or variable. [1] The term was used by Isaac Newton in his early calculus to describe his form of a function. [2] The concept was introduced by Newton in 1665 and detailed in his mathematical treatise, Method of Fluxions. [3]
An unpaired word is one that, according to the usual rules of the language, would appear to have a related word but does not. [1] Such words usually have a prefix or suffix that would imply that there is an antonym, with the prefix or suffix being absent or opposite.
Oral fluency or speaking fluency is a measurement both of production and reception of speech, as a fluent speaker must be able to understand and respond to others in conversation. Spoken language is typically characterized by seemingly non-fluent qualities (e.g., fragmentation, pauses, false starts, hesitation, repetition) because of ‘task ...
Eloquence (from French eloquence from Latin eloquentia) is fluent, elegant, persuasive, and forceful speech, persuading an audience. Eloquence is both a natural talent and improved by knowledge of language, study of a specific subject to be addressed, philosophy, rationale and ability to form a persuasive set of tenets within a presentation.
The natural unit of information (symbol: nat), [1] sometimes also nit or nepit, is a unit of information or information entropy, based on natural logarithms and powers of e, rather than the powers of 2 and base 2 logarithms, which define the shannon. This unit is also known by its unit symbol, the nat.