What is Continuity: Definition and 899 Discussions

In fiction, continuity is a consistency of the characteristics of people, plot, objects, and places seen by the reader or viewer over some period of time. It is relevant to several media.
Continuity is particularly a concern in the production of film and television due to the difficulty of rectifying an error in continuity after shooting has wrapped up. It also applies to other art forms, including novels, comics, and video games, though usually on a smaller scale. It also applies to fiction used by persons, corporations, and governments in the public eye.
Most productions have a script supervisor on hand whose job is to pay attention to and attempt to maintain continuity across the chaotic and typically non-linear production shoot. This takes the form of a large amount of paperwork, photographs, and attention to and memory of large quantities of detail, some of which is sometimes assembled into the story bible for the production. It usually regards factors both within the scene and often even technical details, including meticulous records of camera positioning and equipment settings. The use of a Polaroid camera was standard but has since been replaced by digital cameras. All of this is done so that, ideally, all related shots can match, despite perhaps parts being shot thousands of miles and several months apart. It is an inconspicuous job because if done perfectly, no one will ever notice.
In comic books, continuity has also come to mean a set of contiguous events, sometimes said to be "set in the same universe."

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  1. Math Amateur

    I Continuity and Open Sets .... Sohrab, Theorem 4.3.4 .... ....

    I am reading Houshang H. Sohrab's book: "Basic Real Analysis" (Second Edition). I am focused on Chapter 4: Topology of R and Continuity ... ... I need help in order to fully understand the proof of Theorem 4.3.4 ... ... Theorem 4.3.4 and its proof read as follows: In the above proof by...
  2. Math Amateur

    MHB Continuity and Open Sets .... Sohrab, Theorem 4.3.4 .... ....

    I am reading Houshang H. Sohrab's book: "Basic Real Analysis" (Second Edition). I am focused on Chapter 4: Topology of R and Continuity ... ... I need help in order to fully understand the proof of Theorem 4.3.4 ... ... Theorem 4.3.4 and its proof read as follows: In the above proof by...
  3. S

    Why the B-W Theorem is used when proving continuity implies uniform continuity?

    In my textbook when proving continuity implies uniform continuity (which is very similar to the proof given here), BWT is used to find a converging subsequence. I cannot see why this is needed. Referring to the linked proof, if we open up the inequality ##|x_n-y_n|<\frac{1}{n}##, isn't by the...
  4. Pushoam

    A Understanding Continuity Equation & Conservation Laws

    I understand that from local conservation of charge, we get eqn. 8.4. I don't get why it is called continuity eqn. What is continuous in it? Conservation of momentum gives us equation, ## \frac {d\vec p }{dt} = \vec F ##. This equation is not called continuity equation. Can we get a continuity...
  5. hilbert2

    I Hölder and log-Hölder continuity

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  6. U

    A Entanglement Measures and Asymptotic Continuity

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  7. M

    I Determining continuity using Gauss' law

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  8. M

    I Showing that B has no discontinuities at the surface

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  9. W

    I The continuity equation and the divergence

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  10. T

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  11. R

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  12. NihalRi

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  13. W

    I Continuity of Green's function

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  14. Miguel

    Single Point Continuity - Spivak Ch.6 Q5

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  15. Eclair_de_XII

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  16. C

    I Identifying Errors in Calculus: Understanding Continuity

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  17. K

    Is f(x) = (x-iy)/(x-1) a Continuous Function?

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  18. karush

    MHB Continuity of $g$ at $a=1$: Proven

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  19. A

    Question about multimeter continuity

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  20. M

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  21. S

    A Can quantum cellular automata simulate quantum continuous processes?

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  22. T

    Showing that an exponentiation is continuous -- Help please....

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  23. Peter Alexander

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  24. FallenApple

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  25. M

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  26. Mr Davis 97

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  27. A

    Different answers from equation of continuity and Bernoulli

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  28. EEristavi

    Continuity of Function - f(x)=|cos(x)|

    Homework Statement [/B] We have a function f(x) = |cos(x)|. It's written that it is piecewise continuous in its domain. I see that it's not "smooth" function, but why it is not continuous function - from the definition is should be..Homework Equations [/B] We say that a function f is...
  29. Math Amateur

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    Differentialbility & Continuity of Multivariable Vector-Valued Functions ... D&K Lemma 2.2.7 ... I am reading "Multidimensional Real Analysis I: Differentiation" by J. J. Duistermaat and J. A. C. Kolk ... I am focused on Chapter 2: Differentiation ... ... I need help with an aspect of the...
  30. Math Amateur

    I Differentialbility & Continuity of Multivariable Functions

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  31. Math Amateur

    MHB Existence of Partial Derivatives and Continuity .... Kantorovitz's Propisition pages 61-62 ....

    Existence of Partial Derivatives and Continuity ... Kantorovitz's Proposition pages 61-62 ... I am reading the book "Several Real Variables" by Shmuel Kantorovitz ... ... I am currently focused on Chapter 2: Derivation ... ... I need help with another element of the proof of Kantorovitz's...
  32. Math Amateur

    I Existence of Partial Derivatives and Continuity ....

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  33. Math Amateur

    MHB Compactness and Uniform Continuity in R^n .... .... D&K Theorem 1.8.15

    I am reading "Multidimensional Real Analysis I: Differentiation" by J. J. Duistermaat and J. A. C. Kolk ... I am focused on Chapter 1: Continuity ... ... I need help with an aspect of the proof of Theorem 1.8.15 ... ... Duistermaat and Kolk's Theorem 1.8.15 and its proof read as follows:In...
  34. Math Amateur

    MHB Lipschitz Continuity .... and Continuity in R^n ....

    I am reading "Multidimensional Real Analysis I: Differentiation" by J. J. Duistermaat and J. A. C. Kolk ... I am focused on Chapter 1: Continuity ... ... In Definition 1.3.4 D&K define continuity and then go on to define Lipschitz Continuity in Example 1.3.5 ... ... (see below for these...
  35. Math Amateur

    MHB Compactness and Continuity in R^n .... .... D&K Theorem 1.8.8 .... ....

    I am reading "Multidimensional Real Analysis I: Differentiation" by J. J. Duistermaat and J. A. C. Kolk ... I am focused on Chapter 1: Continuity ... ... I need help with an aspect of the proof of Theorem 1.8.8 ... ... Duistermaat and Kolk's Theorem 1.8.8 and its proof read as follows:In the...
  36. M

    Fluids: Continuity and Conservation of Mass

    Hi PF! In fluids I've noticed many authors use the continuity equation with an integral form of conservation of volume (assume density is constant). Is this double counting? Example: let fluid velocity inside an idle bubble be ##\vec u = \nabla \phi##. Conservation of mass implies ##\nabla u =...
  37. M

    MHB Ε,δ-definition of continuity

    Hey! :o I want to show that the function $f:\mathbb{R}\rightarrow \mathbb{R}$ with $f(x)=\sqrt{4+x^2}$ is continuous on $\mathbb{R}$ using the $\epsilon$, $\delta$-definition. We have the following: To show the continuity of $f$ we have to prove the continuity at each point $\displaystyle...
  38. M

    Can somebody tell me what this topic is?

    Homework Statement Could somebody link me to a youtube video explaining this topic, its from an exam paper at me college and I can't find notes on it.It think it has something to do with limits. Many thanks.
  39. S

    Continuity and discrete space

    Homework Statement Find ##f:R \to X##, f-continuous, where X is the discrete space. Homework EquationsThe Attempt at a Solution f is continuous at p if for any ##\epsilon > 0## there is ##\delta >0## such that ##d(f(x),f(p))<\epsilon## for all x such that ##d(x,p)<\delta##. Let ##\epsilon =...
  40. D

    LaTeX Modeling 3 species using omnivory models. Latex code is included for the proof of continuity, etc

    \chapter{Sensitivity Analysis} The first step in our method to obtain the sensitivity of each parameter value is to differentiate the right hand side of each model with respect to each model parameter. The partial derivatives for the right hand side of our linear response model...
  41. Math Amateur

    MHB Continuity of Complex Functions ....Palka, Example 1.5, Chapter 3 .... ....

    I am reading Bruce P. Palka's book: An Introduction to Complex Function Theory ... I am focused on Chapter 3: Analytic Functions ... I need help with some aspects of Example 1.5, Chapter 3 ... Example 1.5, Chapter 3 reads as follows: In the above text from Palka Chapter 3, Section 1.2 we...
  42. B

    Local Formulation of Continuity

    Homework Statement Let ##X## and ##Y## be topological spaces, and let ##\{U_i\}## be a collection of open sets in ##X##. If ##X = \bigcup U_i## and ##f|_{U_i}## is continuous, then ##f : X \to Y## continuous. Homework EquationsThe Attempt at a Solution Let ##x \in X##, and let ##V \subseteq...
  43. Math Amateur

    MHB Continuity of Complex Functions .... ....

    I am reading Bruce P. Palka's book: An Introduction to Complex Function Theory ... I am focused on Chapter 2: The Rudiments of Plane Topology ... I need help with some aspects of the proof of Lemma 2.4 ... Lemma 2.4 and its proof reads as follows: My questions are as follows: Question 1...
  44. S

    Prove Continuity of f(x+y) = f(x) + f(y)

    Homework Statement f(x+y) = f(x) + f(y) for all x,y∈ℝ if f is continuous at a point a∈ℝ then prove that f is continuous for all b∈ℝ. Homework Equations lim{x->a}f(x) = f(a) The Attempt at a Solution I do not understand how to prove the continuity, does f(x) = f(a) or does f(x+y) = f(a)
  45. S

    Proving the Continuity From Below Theorem

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  46. dextercioby

    I Continuity of the determinant function

    This is something I seek a proof of. Theorem: Let ## \mbox{det}:\mbox{Mat}_{n\times n}(\mathbb{R}) \rightarrow \mathbb{R}## be the determinant function assigned to a general nxn matrix with real entries. Prove this mapping is continuous. My attempt. Continuity must be judged in...
  47. K

    Is uniform continuity related to finding a bound on a complex function?

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  48. Math Amateur

    MHB Lipschitz Condition and Uniform Continuity

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  49. Math Amateur

    I Limits and Continuity - Absolute Value Technicality ....

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  50. Math Amateur

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