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What (who) is continuous running - definition
MATHEMATICAL PRACTICE
Continuous model; Continuous Model; Continuous Modelling
Continuous function
![The graph of a [[cubic function]] has no jumps or holes. The function is continuous.](https://commons.wikimedia.org/wiki/Special:FilePath/Brent method example.svg?width=200 "The graph of a [[cubic function]] has no jumps or holes. The function is continuous.")
![section 2.1.3]]).](https://commons.wikimedia.org/wiki/Special:FilePath/Discontinuity of the sign function at 0.svg?width=200 "section 2.1.3]]).")
![Riemann sphere]] is often used as a model to study functions like the example.](https://commons.wikimedia.org/wiki/Special:FilePath/Function-1 x.svg?width=200 "Riemann sphere]] is often used as a model to study functions like the example.")
![The graph of a continuous [[rational function]]. The function is not defined for <math>x = -2.</math> The vertical and horizontal lines are [[asymptote]]s.](https://commons.wikimedia.org/wiki/Special:FilePath/Homografia.svg?width=200 "The graph of a continuous [[rational function]]. The function is not defined for <math>x = -2.</math> The vertical and horizontal lines are [[asymptote]]s.")
![oscillation]].](https://commons.wikimedia.org/wiki/Special:FilePath/Rapid Oscillation.svg?width=200 "oscillation]].")
.svg?width=200 "Point plot of Thomae's function on the interval (0,1). The topmost point in the middle shows f(1/2) = 1/2.")
FUNCTION SUCH THAT THE PREIMAGE OF AN OPEN SET IS OPEN
Continuity property; Continuous map; Continuous function (topology); Continuous (topology); Continuous mapping; Continuous functions; Continuous maps; Discontinuity set; Noncontinuous function; Discontinuous function; Continuity (topology); Continuous map (topology); Sequential continuity; Stepping Stone Theorem; Continuous binary relation; Continuous relation; Topological continuity; Right-continuous; Right continuous; Left continuous; Left-continuous; C^1; Continuous fctn; Cts fctn; E-d definition; Continuous variation; Continuity space; Continuous space; Real-valued continuous functions; Left-continuous function; Right-continuous function; Left- or right-continuous function; Continuity at a point; Continuous at a point; Continuous extension
In mathematics, a continuous function is a function such that a continuous variation (that is a change without jump) of the argument induces a continuous variation of the value of the function. This means that there are no abrupt changes in value, known as discontinuities.
runner
.jpg?width=200)
![Maximum human speed [km/h] and pace [min/km] per distance](https://commons.wikimedia.org/wiki/Special:FilePath/Human speed distance portrait.png?width=200 "Maximum human speed [km/h] and pace [min/km] per distance")
![A scene depicting long-distance runners, originally found on a [[Panathenaic amphora]] from Ancient Greece, circa 333 BCE](https://commons.wikimedia.org/wiki/Special:FilePath/Long Distance Runners, Ancient Greece, Amphora.png?width=200 "A scene depicting long-distance runners, originally found on a [[Panathenaic amphora]] from Ancient Greece, circa 333 BCE")
![[[Eadweard Muybridge]] photo sequence](https://commons.wikimedia.org/wiki/Special:FilePath/Muybridge runner.jpg?width=200 "[[Eadweard Muybridge]] photo sequence")
![Roman bronze sculptures]] of runners from the [[Villa of the Papyri]] at [[Herculaneum]], now in the [[Naples National Archaeological Museum]]](https://commons.wikimedia.org/wiki/Special:FilePath/Runners MAN Napoli Inv5626-7 n02.jpg?width=200 "Roman bronze sculptures]] of runners from the [[Villa of the Papyri]] at [[Herculaneum]], now in the [[Naples National Archaeological Museum]]")
![International-level women athletes competing in 100 m sprint race at [[ISTAF Berlin]], 2006](https://commons.wikimedia.org/wiki/Special:FilePath/Sina Schielke (192) wins the 100 metres race - ISTAF 2006 - Berlin, 3 September.jpg?width=200 "International-level women athletes competing in 100 m sprint race at [[ISTAF Berlin]], 2006")
ACTIVITY THAT INVOLVES THE RAPID TERRESTRIAL LOCOMOTION OF FEET
Runners; Running speed; Footrace; Foot race; Footraces; Slow run; Running (sports); Running Around; Running event; Running events; 🎽; Runner; Running (sport); History of running; Vertical running; Running (athleticism); Pace (running)
n.
1.
Racer.
2.
Messenger, courier.
running
ACTIVITY THAT INVOLVES THE RAPID TERRESTRIAL LOCOMOTION OF FEET
Runners; Running speed; Footrace; Foot race; Footraces; Slow run; Running (sports); Running Around; Running event; Running events; 🎽; Runner; Running (sport); History of running; Vertical running; Running (athleticism); Pace (running)
n.
competition
1) in the running
2) out of the running
Wikipedia
Continuous modelling
Continuous modelling is the mathematical practice of applying a model to continuous data (data which has a potentially infinite number, and divisibility, of attributes). They often use differential equations and are converse to discrete modelling.
Modelling is generally broken down into several steps:
- Making assumptions about the data: The modeller decides what is influencing the data and what can be safely ignored.
- Making equations to fit the assumptions.
- Solving the equations.
- Verifying the results: Various statistical tests are applied to the data and the model and compared.
- If the model passes the verification progress, putting it into practice.
- If the model fails the verification progress, altering it and subjecting it again to verification; if it persists in fitting the data more poorly than a competing model, it is abandoned.
Examples of use of continuous running
1. Transport for London had already announced the continuous running for this year, with the Tube being free from 11.45pm on New Year‘s Eve until 4.30am on New Year‘s Day.
2. Somehow, this instilled extra bounce into Ball‘s play and the image of his continuous running round the Wembley pitch, socks round his ankles, is one of the most enduring of the occasion.
3. Transport for London had already announced the continuous running for this year, with the Tube being free from 11.45pm on New Years Eve until 4.30am on New Years Day.