Global Information Lookup Global Information

Mice problem information


Four mice
Mice problem
Three mice
Mice problem
Six mice

In mathematics, the mice problem is a continuous pursuit–evasion problem in which a number of mice (or insects, dogs, missiles, etc.) are considered to be placed at the corners of a regular polygon. In the classic setup, each then begins to move towards its immediate neighbour (clockwise or anticlockwise). The goal is often to find out at what time the mice meet.

The most common version has the mice starting at the corners of a unit square, moving at unit speed. In this case they meet after a time of one unit, because the distance between two neighboring mice always decreases at a speed of one unit. More generally, for a regular polygon of unit-length sides, the distance between neighboring mice decreases at a speed of , so they meet after a time of .[1][2]

  1. ^ Gamow, George; Stern, Marvin (1958). Puzzle Math. Viking Press. pp. 112–114.
  2. ^ Lucas, Édouard (1877). "Problem of the Three Dogs". Nouv. Corresp. Math. 3: 175–176.

and 26 Related for: Mice problem information

Request time (Page generated in 0.8575 seconds.)

Mice problem

Last Update:

In mathematics, the mice problem is a continuous pursuit–evasion problem in which a number of mice (or insects, dogs, missiles, etc.) are considered to...

Word Count : 307

Of Mice and Men

Last Update:

Of Mice and Men is a 1937 novella written by American author John Steinbeck. It narrates the experiences of George Milton and Lennie Small, two displaced...

Word Count : 4601

Pursuit curve

Last Update:

polygon. An example of this is the mice problem. Logarithmic spiral Tractrix Circles of Apollonius#Apollonius pursuit problem Pursuit–evasion Bouguer, Pierre...

Word Count : 339

Logarithmic spiral

Last Update:

Archimedean spiral Epispiral List of spirals Mice problem, a geometric problem asking for the path followed by mice chasing one another whose solution is a...

Word Count : 2222

Computer mouse

Last Update:

A computer mouse (plural mice, also mouses) is a hand-held pointing device that detects two-dimensional motion relative to a surface. This motion is typically...

Word Count : 13563

Golden ratio

Last Update:

culture. Spurious golden spirals collected by Randall Munroe YouTube lecture on Zeno's mice problem and logarithmic spirals Portals: Visual arts Mathematics...

Word Count : 12992

Knockout mouse

Last Update:

cannot grow into adult mice. This problem is often overcome through the use of conditional mutations. The lack of adult mice limits studies to embryonic...

Word Count : 1889

Three Blind Mice

Last Update:

Blind Mice". Three Blind Mice round "Three Blind Mice" round. Problems playing these files? See media help. Three blind mice. Three blind mice. See how...

Word Count : 1165

Biker Mice from Mars

Last Update:

Biker Mice from Mars is an American superhero animated series created by Rick Ungar. The series premiered in syndication the week of September 19, 1993...

Word Count : 4627

Kitten Kong

Last Update:

resulting from Graeme's growth mixture — they now have a bunch of king-size mice problem on their hands. A special episode, which was based on this episode, was...

Word Count : 740

The Deptford Mice

Last Update:

convincing." A community of mice lives an idyllic existence in an old empty house in the London borough Deptford. The only problem they have is a fear of the...

Word Count : 1430

Pakdam Pakdai

Last Update:

South India. Unfortunately, he shares his house with three troublemaking mice: Chhotu, Lambu and Motu , dubbed the "Chuha Party" ("transl. Rat Party")...

Word Count : 1940

Fancy mouse

Last Update:

house mouse (Mus musculus), one of many species of mice, usually kept as a type of pocket pet. Fancy mice have also been specially bred for exhibiting, with...

Word Count : 3172

Humanized mouse

Last Update:

that has functioning human genes, cells, tissues and/or organs. Humanized mice are commonly used as small animal models in biological and medical research...

Word Count : 3633

Belling the Cat

Last Update:

known under the titles The Bell and the Cat and The Mice in Council. In the story, a group of mice agree to attach a bell to a cat's neck to warn of its...

Word Count : 2078

Laboratory mouse

Last Update:

and used for scientific research or feeders for certain pets. Laboratory mice are usually of the species Mus musculus. They are the most commonly used...

Word Count : 5999

Apple pointing devices

Last Update:

Apple Inc. has designed and manufactured several models of mice, trackpads, and other pointing devices, primarily for use with Macintosh computers. Over...

Word Count : 4226

As I was going to St Ives

Last Update:

(19,607) is correct. The problem has been paraphrased by modern commentators as a story problem involving houses, cats, mice, and grain, although in the...

Word Count : 1098

Three Blind Mice and Other Stories

Last Update:

Three Blind Mice and Other Stories is a collection of short stories written by Agatha Christie, first published in the US by Dodd, Mead and Company in...

Word Count : 1544

Optical mouse

Last Update:

mechanical mouse and its need for frequent cleaning. The earliest optical mice detected movement on prepared surfaces, however they never gained wide acceptance...

Word Count : 2501

Pregnancy tests using animals

Last Update:

women relied on urine-based pregnancy tests using animals, ranging from mice to frogs. Advancements in medical technology have enabled women to accurately...

Word Count : 2259

Chases and Escapes

Last Update:

problems in which multiple agents pursue each other, as in the mice problem. The fourth and final chapter is entitled "Seven classic evasion problems"...

Word Count : 896

List of fictional rodents

Last Update:

the list of fictional animals and covers all rodents, including beavers, mice, chipmunks, gophers, guinea pigs, hamsters, marmots, prairie dogs, porcupines...

Word Count : 741

Pancake sorting

Last Update:

"Of Pancakes, Mice and Men". Plus Magazine. 54. Cut-the-Knot: Flipping pancakes puzzle, including a Java applet for the pancake problem and some discussion...

Word Count : 2195

List of fictional diseases

Last Update:

the likelihood of transmission to others, comparable to toxoplasmosis in mice. Krytos virus Star Wars Expanded Universe"Star Wars expanded universe" The...

Word Count : 472

Radiodrome

Last Update:

means that the hare will never be caught, whenever the chase starts. Mice problem Nahin, Paul J. (2012), Chases and Escapes: The Mathematics of Pursuit...

Word Count : 494

PDF Search Engine © AllGlobal.net