• Indeterminate form is a mathematical expression that can obtain any value depending on circumstances. In calculus, it is usually possible to compute the...
    17 KB (2,604 words) - 15:36, 12 March 2025
  • Thumbnail for L'Hôpital's rule
    evaluating limits of indeterminate forms using derivatives. Application (or repeated application) of the rule often converts an indeterminate form to an expression...
    36 KB (7,128 words) - 18:32, 11 April 2025
  • than one solution Indeterminate form, an algebraic expression with certain limiting behaviour in mathematical analysis Indeterminate growth, a term in...
    912 bytes (142 words) - 02:54, 17 February 2019
  • 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...
    30 KB (3,105 words) - 12:46, 23 May 2025
  • refer to: Undefined (mathematics), with several related meanings Indeterminate form, in calculus Undefined behavior, computer code whose behavior is not...
    1 KB (135 words) - 11:22, 10 May 2025
  • In mathematics, an indeterminate or formal variable is a variable (a symbol, usually a letter) that is used purely formally in a mathematical expression...
    8 KB (1,083 words) - 21:17, 14 April 2025
  • Thumbnail for Division by zero
    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...
    42 KB (5,692 words) - 14:57, 6 June 2025
  • L'Hôpital's rule - a method in calculus for evaluating indeterminate forms Indeterminate form - a mathematical expression for which many assignments exist...
    13 KB (1,506 words) - 22:07, 13 May 2025
  • whenever a parameter is a NaN or the exponentiation would give an indeterminate form. Most fixed-size integer formats cannot explicitly indicate invalid...
    30 KB (3,755 words) - 00:04, 16 May 2025
  • the reliability of a system Indeterminate form, an algebraic expression that cannot be used to evaluate a limit Modular form, a (complex) analytic function...
    5 KB (740 words) - 19:04, 14 December 2024
  • 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...
    69 KB (11,342 words) - 05:33, 6 June 2025
  • Thumbnail for Improper integral
    negative infinities (i.e., the " ∞ − ∞ {\displaystyle \infty -\infty } " indeterminate form). Alternatively, an iterated limit could be used or a single limit...
    23 KB (4,186 words) - 17:29, 19 June 2024
  • 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...
    53 KB (6,663 words) - 20:04, 15 April 2025
  • Thumbnail for Exponentiation
    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...
    104 KB (13,637 words) - 11:23, 4 June 2025
  • 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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  • Thumbnail for Lepidosauromorpha
    being Marmoretta from the Middle Jurassic of Britain and an indeterminate form from the Middle Jurassic Moskvoretskaya Formation of Russia, which...
    9 KB (736 words) - 18:48, 24 May 2025
  • Thumbnail for Division by infinity
    times, gives a finite number, unless you address the concept of indeterminate forms. However, "dividing by ∞" can be given meaning as an informal way...
    8 KB (1,026 words) - 05:55, 26 May 2025
  • Indefinite imprisonment or indeterminate imprisonment is the imposition of a sentence of imprisonment with no definite period of time set during sentencing...
    14 KB (1,682 words) - 06:54, 24 January 2025
  • Thumbnail for Indeterminate growth
    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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  • Thumbnail for Argument (complex analysis)
    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...
    14 KB (1,951 words) - 10:08, 20 April 2025
  • Thumbnail for Squircle
    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...
    14 KB (2,014 words) - 11:22, 23 May 2025
  • 0
    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...
    75 KB (8,211 words) - 17:31, 27 May 2025
  • Thumbnail for Infinity
    …>. 0.999... Absolute infinite Aleph number Ananta Exponentiation Indeterminate form Names of large numbers Infinite monkey theorem Paradoxes of infinity...
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  • mathematics, a polynomial is a mathematical expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations...
    60 KB (8,173 words) - 14:55, 27 May 2025
  • 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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  • Thumbnail for Removable singularity
    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...
    5 KB (941 words) - 09:32, 7 November 2023
  • Thumbnail for Guillaume de l'Hôpital
    associated with l'Hôpital's rule for calculating limits involving indeterminate forms 0/0 and ∞/∞. Although the rule did not originate with l'Hôpital,...
    11 KB (1,194 words) - 23:47, 9 February 2025
  • {\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