monochromatic--prophetes.ai

monochromatic

monochromatic, a. (mɒnəkrəʊˈmætɪk) [f. Gr. µόνο-ς mono- + χρωµατικός chromatic (f. χρῶµα colour); Gr. has µονοχρώµατος of one colour.] 1. Of or presenting one colour only; applied spec. to light of one wave-length. Also applied to other radiation that is (nominally) of a single wavelength or energy ... Oxford English Dictionary

prophetes.ai

Monochromatic - Fimfiction

In Everything But Name by Monochromatic. Injuring Eternity by Monochromatic. La Princesse by Monochromatic. Simulations by Monochromatic. A collection of some of my personal favorite Rarity & Twilight stories. An Old Fool by Monochromatic. A Thousand Words of Noise by Monochromatic. Without a Hitch by Monochromatic.

www.fimfiction.net

Monochromatic garden

A monochromatic garden is a garden in which a single color is highlighted. A monochromatic edible garden is possible, but more challenging to design than a flower garden in any color except green. wikipedia.org

en.wikipedia.org

Monochromatic radiation

Monochromatic light is perceived by the human eye as a spectral color. Generation Monochromatic radiation can be produced by a number of methods. wikipedia.org

en.wikipedia.org

Monochromatic loop in plane Suppose all the points in the plane are coloured with two colours. Are we guaranteed to find a continuous closed monochromatic path in the plane ? I believe the answer is yes, and then wha...

Then any monochromatic path is contained in a vertical line. Using the Axiom of Choice, we can get a colouring with no monochromatic paths at all.

prophetes.ai

Monochromatic triangle

Problem statement The monochromatic triangle problem takes as input an n-node undirected graph G(V,E) with node set V and edge set E. That is, the answer to the monochromatic triangle problem on the complete graph K6 is no. wikipedia.org

en.wikipedia.org

Two colouring of a 6 by 6 grid without a monochromatic rectangle This question Monochromatic Rectangle of a 2-Colored 8 by 8 Lattice Grid shows that any two colouring of a 7 by 7 grid must have a rectangle whose verti...

For six by six it is quite easy. Call the colours red and blue. Look at the top row. There will be three points the same colour - say red. Concentrate on those columns. If in any row below there are two out of three points red you have a rectangle. But there are only four possible patterns of three ...

prophetes.ai

Monochromatic chess

Monochromatic chess is a chess variant with unknown origin. References External links http://www.janko.at/Retros/Glossary/Monochromatic.htm Chess variants Fairy chess wikipedia.org

en.wikipedia.org

Uncountable monochromatic set Maybe you can help me with that. I was asking myself if you take an uncountable set $S$ and let $S^{(2)}$ be 2-coloured, must there exist an uncountable monochromatic set in $S$?

An uncountable monochromatic set would give us a subset of $\mathbb R$ of order type $\omega_1$ (or its reverse) in the usual ordering, and this is impossible is that if $S$ has size at least $|\mathbb R|^+$, then $2$-colorings of the collection $S^{(2)}$ of _subsets_ of $S$ of size $2$ give us uncountable monochromatic

prophetes.ai

$K_6$ contains at least two monochromatic $K_3$ graphs. Let $K_n$ be a complete $n$ graph with a color set $c$ with $c=\\{\text{Red}, \text{Blue}\\}$. Every edge of the complete $n$ graph is colored either $\text{Red}...

Since $R(3,3)=6$ there is a monochromatic triangle $\Delta$. Let's say it's blue. Look at the other three vertices.

prophetes.ai

Un-monochromatic Arithmetic Progressions Prove that the set $\\{1,2,3,...,2008\\}$ can be colored with two colors such that any $18$ term arithmetic progression in this set is not monochromatic.

The probability that any given $18$-term a.p. in the set is monochromatic is $2^{-17}$. There are $117587$ such a.p.' Thus the expected number of monochromatic a.p.'s is less than one, which means that it must be possible to have no monochromatic a.p.'s.

prophetes.ai

Randomized algorithm for coloring with monochromatic copies Consider the complete graph $K_n$. Give a randomized algorithm for finding a coloring by two colors with at most $\binom{n}{4}2^{-5}$ monochromatic copies of...

Then, compute the expected number of monochromatic copies of $K_4$ in the resulting graph.

prophetes.ai

monochromatic

Answers

MindMap

Sources

monochromatic

Monochromatic - Fimfiction

Monochromatic garden

Monochromatic radiation

Monochromatic loop in plane Suppose all the points in the plane are coloured with two colours. Are we guaranteed to find a continuous closed monochromatic path in the plane ? I believe the answer is yes, and then wha...

Monochromatic triangle

Two colouring of a 6 by 6 grid without a monochromatic rectangle This question Monochromatic Rectangle of a 2-Colored 8 by 8 Lattice Grid shows that any two colouring of a 7 by 7 grid must have a rectangle whose verti...

Monochromatic chess

Uncountable monochromatic set Maybe you can help me with that. I was asking myself if you take an uncountable set $S$ and let $S^{(2)}$ be 2-coloured, must there exist an uncountable monochromatic set in $S$?

$K_6$ contains at least two monochromatic $K_3$ graphs. Let $K_n$ be a complete $n$ graph with a color set $c$ with $c=\\{\text{Red}, \text{Blue}\\}$. Every edge of the complete $n$ graph is colored either $\text{Red}...

Un-monochromatic Arithmetic Progressions Prove that the set $\\{1,2,3,...,2008\\}$ can be colored with two colors such that any $18$ term arithmetic progression in this set is not monochromatic.

Monochromatic and Electrochemical Switchable Electrochemiluminescence ...

Monochromatic_22 MIUI THEME With Tutorial - MTZFILE

PDF Application Value of Revolution CT Monochromatic Imaging Combined with ...

Randomized algorithm for coloring with monochromatic copies Consider the complete graph $K_n$. Give a randomized algorithm for finding a coloring by two colors with at most $\binom{n}{4}2^{-5}$ monochromatic copies of...