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Results for "antilog"

Antilog

Definition: Antilog is a term in mathematics, specifically in the context of logarithmic functions. It's a special kind of inverse function that maps the input to its output. The term 'antilogarithm' comes from the Greek words antilogos (meaning "reverse") and logaritmo (from Latin, meaning "logarithm"). When used correctly and understood, antilogarithms are very useful in various fields such as physics, engineering, and information theory.


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Antilogarithm

Definition: In Greek, antilogarithm was used to find powers of a base number. It's an operation that requires special knowledge or ancient methods to perform on a large number. In Bible, it refers to expressing logarithms in terms of fractions where the argument is larger than the argument.


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Antilogarithmic

Definition: "Antilogarithmic" refers to logarithms that are negative. In other words, a logarithm where the base number (usually e) is taken to the power of a negative number. This can be seen in equations like $\ln(-x)$, which is not well-defined because it's taking the base e to a negative exponent - it’s actually undefined for any real number $x$. Antilogarithmic functions are used extensively in physics and mathematics to model certain phenomena, such as radioactive decay. They arise in a variety of contexts including electrical circuits and radioactive decay calculations, where they represent logarithms that are used as exponents or indices. The word "antilogarithmic" is from Greek and comes from the same root "anti" (against) and "logarithm". In essence, antilogarithmic functions are essentially opposites of logarithms.


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Antilogarithms

Definition: The word 'antilogarithm' refers to a number or expression that can be expressed in terms of its own logarithm, but not as an integer. It's used when the base number for an exponential function does not match the natural logarithm (ln). Antilogarithms are useful in computer science and engineering applications where numeric operations must handle numbers like powers instead of integers.


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Antilogic

Definition: The word "antilogic" is a term in logic that refers to a logical statement that cannot be proven true by the given information alone, but is logically consistent with it. The definition of "antilogic" is: A logical statement that can never be proven true if provided with its own counterexample. It contrasts with "converse," which states that a logical argument must be valid for both sides to be true simultaneously.


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Antilogical

Definition: It's a term in mathematics that refers to something which has the same base, but requires an additional operation before being multiplied. For instance, 2^3 = 8 because you multiply two numbers together, but then subtract the result from zero twice (by using logarithms). This is why it's called an antilogarithm.


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Antilogies

Definition: Antilogies are analogical statements that express a logical contradiction or violation of the principles underlying the truth of an argument. They can be used to challenge arguments, provide counterexamples, or illustrate hypothetical situations where one cannot logically follow other positions. Antilogies typically begin with two propositions, such as "All men are mortal," and conclude with the proposition "No man is immortal."


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Antilogism

Definition: The term "antilogism" refers to a biblical verse in Mark 8:27-35 that describes an example of God's grace being denied by those who don't recognize Him, emphasizing the importance of recognizing our spiritual leaders. The phrase is also used metaphorically for God's guidance and control over sin, which He often disciplines through His angels.


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Antilogistic

Definition: In the Bible, "antilogistic" refers to a person who was a false prophet or heretical figure. The exact definition varies but often describes someone who propagated falsehoods and scribes who refused to acknowledge or accept the truth, even when it was presented in plain sight. This term has been used metaphorically throughout Scripture to suggest those who sought to deceive others with the guise of truth.


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Antilogistically

Definition: The word "antilogistically" is a term in logic, typically referring to an operation that takes an input number and generates another number based on its input and some rule or function. Antilogarithmic operations are often used in computer science to create logarithms, which are common mathematical functions. Antilogarithm definition: The antilogarithm of a given base b is defined as the natural logarithm (ln) of the reciprocal of b (1/b). For instance, if we have a base 3 and we want to find its antilogarithm, this would be ln(3/2), which equals approximately -0.4761. Antilogarithmic operations are widely used in mathematics, science, and engineering for solving complex logarithmic equations and problems that involve the use of natural logarithms.


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