LOGARITHMICALLY Meaning and
Definition
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Logarithmically is an adverb derived from the noun "logarithm," which refers to a mathematical concept used to solve exponential equations and analyze exponential growth or decay. The term describes a relationship or progression that occurs in a manner consistent with the properties of logarithms.
When something changes logarithmically, it means that the rate of change is proportional to the logarithm of the input or variable being considered. This indicates that as the input or variable increases or decreases, the corresponding change in the output or result is not directly proportional to the change in the input but rather logarithmically related to it.
In this context, logarithmically can describe a variety of phenomena such as a growth or decay curve that follows a logarithmic pattern. It signifies that a quantity is increasing or decreasing at a rate that declines gradually over time as the quantity gets larger or smaller. As a result, logarithmic relationships often involve diminishing returns, where each incremental change in the input yields a smaller change in the output.
Furthermore, logarithmically can characterize how data or values are distributed on a logarithmic scale or axis. This means that the intervals or increments between values increase exponentially as they move along the scale, reflecting the logarithmic property.
Overall, logarithmically serves as an adverbial form that highlights the relationship, pattern, or scale that adheres to the principles and properties of logarithms.
Common Misspellings for LOGARITHMICALLY
- kogarithmically
- pogarithmically
- oogarithmically
- ligarithmically
- lkgarithmically
- llgarithmically
- lpgarithmically
- l0garithmically
- l9garithmically
- lofarithmically
- lovarithmically
- lobarithmically
- loharithmically
- loyarithmically
- lotarithmically
- logzrithmically
- logsrithmically
- logwrithmically
- logqrithmically
Etymology of LOGARITHMICALLY
The word "logarithmically" is derived from the noun "logarithm" with the addition of the suffix "-ically".
The noun "logarithm" itself is derived from two Greek words: "logos" meaning "word" or "ratio" and "arithmos" meaning "number". The term was coined by the Scottish mathematician John Napier in the early 17th century, who introduced logarithms as a way to simplify complex calculations.
The suffix "-ically" is a common adverbial suffix in English, derived from the Latin suffix "-icus" and the Greek suffix "-ikos", both indicating "related to" or "characteristic of".
Thus, "logarithmically" refers to something related to or characterized by logarithms, often describing a situation or change that follows a logarithmic scale or pattern.
Similar spelling word for LOGARITHMICALLY
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