Indeterminate form is a mathematical expression that can obtain any value depending on circumstances. In calculus, it is usually possible to compute the...
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L'Hôpital's rule (section 1. Form is not indeterminate)
evaluating limits of indeterminate forms using derivatives. Application (or repeated application) of the rule often converts an indeterminate form to an expression...
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than one solution Indeterminate form, an algebraic expression with certain limiting behaviour in mathematical analysis Indeterminate growth, a term in...
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Zero to the power of zero (section As a limiting form)
particularly in mathematical analysis, 00 is often considered an indeterminate form. This is because the value of xy as both x and y approach zero can...
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refer to: Undefined (mathematics), with several related meanings Indeterminate form, in calculus Undefined behavior, computer code whose behavior is not...
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In mathematics, an indeterminate or formal variable is a variable (a symbol, usually a letter) that is used purely formally in a mathematical expression...
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the expression is said to take an indeterminate form, as the resulting limit depends on the specific functions forming the fraction and cannot be determined...
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Undefined (mathematics) (section Indeterminate)
L'Hôpital's rule - a method in calculus for evaluating indeterminate forms Indeterminate form - a mathematical expression for which many assignments exist...
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whenever a parameter is a NaN or the exponentiation would give an indeterminate form. Most fixed-size integer formats cannot explicitly indicate invalid...
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the reliability of a system Indeterminate form, an algebraic expression that cannot be used to evaluate a limit Modular form, a (complex) analytic function...
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find limits of indeterminate forms 0/0 or ±∞/∞, and only applies to such cases. Other indeterminate forms may be manipulated into this form. Given two functions...
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negative infinities (i.e., the " ∞ − ∞ {\displaystyle \infty -\infty } " indeterminate form). Alternatively, an iterated limit could be used or a single limit...
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and an indeterminate form 0/0 for the other root. On the other hand, when c = 0, the more common formula yields two correct roots whereas this form yields...
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of expressions that take on an indeterminate form, are described in § Limits of powers below. Real functions of the form f ( x ) = c x n {\displaystyle...
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An indeterminate pronoun is a pronoun which can show a variety of readings depending on the type of sentence it occurs in. The term "indeterminate pronoun"...
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being Marmoretta from the Middle Jurassic of Britain and an indeterminate form from the Middle Jurassic Moskvoretskaya Formation of Russia, which...
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times, gives a finite number, unless you address the concept of indeterminate forms. However, "dividing by ∞" can be given meaning as an informal way...
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Indefinite imprisonment (redirect from Indeterminate Sentence)
Indefinite imprisonment or indeterminate imprisonment is the imposition of a sentence of imprisonment with no definite period of time set during sentencing...
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completely formed. Thus, a plant that grows and produces flowers and fruit until killed by frost or some other external factor is called indeterminate. For...
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(mathematics) Limit of a function One-sided limit Limit of a sequence Indeterminate form Orders of approximation (ε, δ)-definition of limit Continuous function...
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but can be considered valid for z = 0 if Arg(0) is considered as an indeterminate form—rather than as being undefined. Some further identities follow. If...
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Squircle (section Polar form)
added to the angle argument 2 θ {\displaystyle 2\theta } to avoid the indeterminate form 0 0 {\displaystyle {\frac {0}{0}}} when θ = n π 2 {\displaystyle \theta...
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the form f(x)/g(x) as a result of applying the lim operator independently to both operands of the fraction, is a so-called "indeterminate form". That...
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…>. 0.999... Absolute infinite Aleph number Ananta Exponentiation Indeterminate form Names of large numbers Infinite monkey theorem Paradoxes of infinity...
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Polynomial (redirect from Standard form of a polynomial)
mathematics, a polynomial is a mathematical expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations...
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In mathematics, particularly in number theory, an indeterminate system has fewer equations than unknowns but an additional a set of constraints on the...
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0}\times {\pm \infty }={\mbox{NaN}}\,\!} (Not a Number or interrupt for indeterminate form) ± 0 ± 0 = NaN {\displaystyle {\frac {\pm 0}{\pm 0}}={\mbox{NaN}}\...
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holomorphic. In this case the problem was caused by sinc being given an indeterminate form. Taking a power series expansion for sin ( z ) z {\textstyle {\frac...
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associated with l'Hôpital's rule for calculating limits involving indeterminate forms 0/0 and ∞/∞. Although the rule did not originate with l'Hôpital,...
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{\displaystyle f(x)={\frac {x^{2}-1}{x-1}}.} then f(1) is not defined (see Indeterminate form), yet as x moves arbitrarily close to 1, f(x) correspondingly approaches...
37 KB (6,042 words) - 17:28, 17 March 2025