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Catalan Number: Encyclopedia - Catalan Number
In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems; which often...
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Catalan Number: Encyclopedia Ii - Catalan Number - Proof Of The Formula
There are several ways of explaining why the formula given for Cn is correct; that is, why it solves the combinatorial problems listed ab...
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Catalan Number: Encyclopedia Ii - Catalan Number - Properties Of The Catalan Numbers
One can verify that an alternative expression for Cn is
This shows that Cn is a natural number, which is not a priori obvious from the...
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Catalan Language: Encyclopedia - Catalan Language
Catalan (Català) or Valencian (Valencià) is a Romance language, the national language of Andorra and co-official in several regions of ...
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Islam Sufism: A
Different View Of Islam Sufism
A Different View Of Islam &
Sufism
For Anne-Marie Schimmel, Islam was a
lifelong passion, as deep as her own roots in the Lutheran f...
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Catalan: Encyclopedia - Catalan
Catalan can refer to:
The Catalan people
The Catalan language
An inhabitant of Catalonia
Eugène Charles Catalan, a mathematician
Catala...
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132 Number: Encyclopedia - 132 Number
<< 130 131 132 133 134 135 136 137 138 139 >>
List of numbers -- Integers
<< 100 110 120 130 140 150 160 170 180 190 &g...
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42 Number: Encyclopedia - 42 Number
42 is the natural number following 41 and followed by 43.
<< 40 41 42 43 44 45 46 47 48 49 >>
List of numbers -- Integers
0 1...
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Catalan Mythology About Witches: Encyclopedia - Catalan Mythology About Witches
In Catalan popular culture, there are a large number of myths and legends about witches (Catalan "bruixes"). In the popular imagination, ...
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Asp: Encyclopedia - Asp
Asp may mean
Asp (reptile), an archaic term for a number of species of poisonous snake
Asp (fish) (Aspius aspius), a fish belonging to t...
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Catalanic Language: Encyclopedia - Catalanic Language
Catalanic, also called Qatalanit (קאטאלנית) or the more scholarly Judæo-Catalan, was a Jewish language, formerly spoken by the J...
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1000000 Number: Encyclopedia - 1000000 Number
One million (1,000,000), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001.
100000 1000000 100000...
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Catalonia: Encyclopedia - Catalonia
Total (2002)
GDP: $146.1 billion
GDP per /capita: $26,550 (2nd)
Catalonia (Catalan: Catalunya; Spanish: Cataluña; Aranese: Catalonha) is...
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Mallorca: Encyclopedia - Mallorca
Mallorca (in Catalan, Spanish, and English; also called Majorca in English) is one of the Balearic Islands (Catalan: Illes Balears), whic...
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1000 Number: Encyclopedia - 1000 Number
<< 1k 2k 3k 4k 5k 6k 7k 8k 9k >>
1000 (one thousand) is the natural number following 999 and preceding 1001.
1000 number - In...
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Val D'aran: Encyclopedia - Val D'aran
Val d'Aran, a small valley (620.47 km2) is a comarca (county) in the northwestern part of Catalonia, which is an autonomous region of Spa...
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Eggplant: Encyclopedia - Eggplant
The Eggplant, Aubergine or Brinjal (Solanum melongena) is a species of Solanum, native to southern India and Sri Lanka. It is an annual p...
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14 Number: Encyclopedia - 14 Number
14 (fourteen) is the natural number following 13 and preceding 15.
<< 10 11 12 13 14 15 16 17 18 19 >>
List of numbers -- Int...
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Zonohedron: Encyclopedia - Zonohedron
A zonohedron is a convex polyhedron where every face is a polygon with point symmetry or, equivalently, symmetry under rotations through ...
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Archimedean Solid: Encyclopedia - Archimedean Solid
In geometry an Archimedean solid or semi-regular solid is a semi-regular convex polyhedron composed of two or more types of regular polyg...
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Cava: Encyclopedia - Cava
This article is about a type of wine; Cava is also an island in Scotland and a part of human anatomy.
Cava is the name of a type of white...
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Costa Brava: Encyclopedia - Costa Brava
Costa Brava is a coastal region of northeastern Catalonia, Spain, in the comarques of Alt Empordà and Baix Empordà, in the province of ...
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Ñ: Encyclopedia - Ñ
Ñ or enye, (Spanish eñe) represents a palatal nasal (IPA: /ɲ/). This is reminiscent of /nj/ as in "onion" IPA: /'ʌnjən/. It is the f...
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Catalan Language: Encyclopedia Ii - Catalan Language - The Status Of Valencian
The official language academy of the Land of Valencia (the Acadèmia Valenciana de la Llengua) considers Catalan and Valencian simply to ...
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Catalan Language: Encyclopedia Ii - Catalan Language - Geographic Distribution
Estimates of the number of Catalan speakers vary from four million to twelve million. [1] (pdf), [2], [3], [4], [5].
Catalan is spoken in...
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Catalan Language: Encyclopedia Ii - Catalan Language - History
Catalan developed by the 9th century from Vulgar Latin on both sides of the eastern part of Pyrenees mountains (counties of Roussillon, E...
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Iberian Naming Customs: Encyclopedia Ii - Iberian Naming Customs - Portuguese Names
Iberian naming customs - General pattern.
In countries where Portuguese is spoken, the pattern is similar to the Spanish one, except th...
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132 Number: Encyclopedia Ii - 132 Number - In Mathematics
132 is a Catalan number, a Harshad number, a pronic number.
If you take the sum of all 2-digit numbers you can make from 132, you get 132...
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Binary Tree: Encyclopedia Ii - Binary Tree - Encodings
Binary tree - Succinct encodings.
A succinct data structure is one which takes the absolute minimum possible space, as established by i...
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14 Number: Encyclopedia Ii - 14 Number - In Mathematics
Fourteen is a composite number, its proper divisors being 1, 2 and 7.
In base fifteen and higher bases (such as hexadecimal), fourteen is...
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Iberian Naming Customs: Encyclopedia Ii - Iberian Naming Customs - Spanish Names
In Spanish-speaking countries, the name of the father is put before the name of the mother; these are then known as the apellido paterno ...
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Catalan Language: Encyclopedia Ii - Catalan Language - Dialects
In 1861, Manuel Milà i Fontanals proposed a dialectal division of Catalan in two major blocks: Eastern Catalan and Western Catalan.
Ther...
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Castell: Encyclopedia Ii - Castell - Terminology
In Catalan the word castell means castle, although a castell with two persons per level is a torre (tower) and is usually called a pilar ...
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Spanish People: Encyclopedia Ii - Spanish People - Language
Linguistically, the Spanish language is a Romance language and as such Spaniards are considered a Latin people. The legacy of the Romans ...
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Spanish People: Encyclopedia Ii - Spanish People - Language
Linguistically, the Spanish language is a Romance language and as such Spaniards are considered a Latin people. The strong arabic influen...
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Mediterranean Sea: Encyclopedia Ii - Mediterranean Sea - Subdivisions
The Mediterranean Sea is sub-divided into a number of smaller seas, each with their own designation (from west to east):
the Alboran Sea...
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Polyhedron: Encyclopedia Ii - Polyhedron - General Polyhedron
More recently mathematics has defined a polyhedron as a set in real affine (or Euclidean) space of any dimensional n that has flat sides....
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Rugby League National Leagues: Encyclopedia Ii - Rugby League National Leagues - History And Future Development
Most of the clubs in Leagues One and Two had previously played in a single division containing all professional clubs below the Super Lea...
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Polyhedron: Encyclopedia Ii - Polyhedron - General Polyhedron
More recently mathematics has defined a polyhedron as a set in real affine (or Euclidean) space of any dimensional n that has flat sides....
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Polyhedron: Encyclopedia Ii - Polyhedron - Uniform Polyhedra
Main article Uniform polyhedron.
Uniform polyhedra are vertex uniform and every face is a regular polygon. They are either regular, quasi...
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Romance Languages: Encyclopedia Ii - Romance Languages - Status
The most spoken Romance language is Spanish, followed by Portuguese, French, Italian, Romanian and Catalan.
Generally, the Romance langua...
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Polyhedron: Encyclopedia Ii - Polyhedron - Classical Polyhedron
In classical mathematics, a polyhedron (from Greek πολυεδρον, from poly-, stem of πολυς, "many," + -edron, form of εδρο...
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Polyhedron: Encyclopedia Ii - Polyhedron - Classical Polyhedron
In classical mathematics, a polyhedron (from Greek πολυεδρον, from poly-, stem of πολυς, "many," + -edron, form of εδρο...
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Francisco Franco: Encyclopedia Ii - Francisco Franco - Spain Under Franco
Spain was bitterly divided and economically ruined as a result of the civil war.
After the war a very harsh repression began, with thousa...
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Polyhedron: Encyclopedia Ii - Polyhedron - Uniform Polyhedra
Main article Uniform polyhedron.
Uniform polyhedra are vertex uniform and every face is a regular polygon. They are either regular, quasi...
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Occitan Language: Encyclopedia Ii - Occitan Language - Linguistic Assets
Occitan language - Rich lexicon.
A comparison of terms and word counts between languages is not easy, as it is impossible to precisely ...
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List Of Common Phrases In Various Languages: Encyclopedia Ii - List Of Common Phrases In Various Languages - Chinese Languages
List of common phrases in various languages - Chinese Cantonese Sinitic.
Note: Cantonese is a tonal language. Pronunciations provided b...
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List Of Common Phrases In Various Languages: Encyclopedia Ii - List Of Common Phrases In Various Languages - Chinese Languages
List of common phrases in various languages - Chinese Cantonese Sinitic.
Note: Cantonese is a tonal language. Pronunciations provided b...
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Partition Of A Set: Encyclopedia Ii - Partition Of A Set - The Number Of Partitions
The Bell number Bn, named in honor of Eric Temple Bell, is the number of different partitions of a set with n elements. The first several...
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Catalonia: Encyclopedia Ii - Catalonia - Language
Catalonia is the original heartland of Catalan, and remains the most important and largest territory where the language is spoken.
Catala...
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1000 Number: Encyclopedia Ii - 1000 Number - Trivia
To count to one thousand, counting one number every second continuously would take 16 minutes and 40 seconds.
...
See also:1000 number...
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400 Number: Encyclopedia Ii - 400 Number - Mathematical Properties
400 is the square of 20.
A circle is divided into 400 grads, which is equal to 360 degrees and 2π radians. (Degrees and radians are the ...
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Mallorca: Encyclopedia Ii - Mallorca - Language
The local language is Catalan, with a great deal of dialectal variety when compared to the Catalan of other areas (Catalonia, Valencia) o...
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Valencian: Encyclopedia Ii - Valencian - Political Issues Surrounding Valencian
The main theory of the origin of Valencian is that Catalan was brought to the territories that became the Kingdom of Valencia during the ...
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Estelada: Encyclopedia Ii - Estelada - History
3rd Article of the provisional Constitution of the Catalan Republic, written and approved in 1928 in Cuba by the “Assemblea Constituent...
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Eugène Charles Catalan: Encyclopedia Ii - Eugène Charles Catalan - Biography
He was born in Brugge, Belgium from a French jeweller by the name of Joseph Catalan which will only accept his child in 1821. In 1825, he...
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Trigamma Function: Encyclopedia Ii - Trigamma Function - Calculation
A double integral representation, as an alternative to the ones given above, may be derived from the series representation:
using the ...
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Judeo-romance Languages: Encyclopedia Ii - Judeo-romance Languages - Languages
Judeo-Romance languages - Catalanic.
Catalanic, or Judeo-Catalan, remains vestigially in the speech of the Crypto-Jewish communities of...
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Judeo-romance Languages: Encyclopedia Ii - Judeo-romance Languages - Languages
Judeo-Romance languages - Catalanic.
Catalanic, or Judeo-Catalan, remains vestigially in the speech of the Crypto-Jewish communities of...
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400 Number: Encyclopedia Ii - 400 Number - Other Fields
Four hundred is also
a common ISO-standard film speed for photographic films.
an HTTP status code for a bad request.
a phrase meaning th...
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Valencian: Encyclopedia Ii - Valencian - Linguistic Issues
There is consensus amongst linguists that Valencian is the name for the Catalan language which is spoken in the Land of Valencia. The wor...
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400 Number: Encyclopedia Ii - 400 Number - Other Fields
Four hundred is also
an HTTP status code for a bad request.
a phrase meaning the wealthiest, most famous, or most powerful social group,...
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Pascal's Triangle: Encyclopedia Ii - Pascal's Triangle - Properties Of Pascal's Triangle
Some simple patterns are immediately apparent in Pascal's triangle:
The diagonals going along the left and right edges contain only 1s.
...
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Binomial Coefficient: Encyclopedia Ii - Binomial Coefficient - Combinatorics And Statistics
Binomial coefficients are of importance in combinatorics, because they provide ready formulas for certain frequent counting problems:
Ev...
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Binomial Coefficient: Encyclopedia Ii - Binomial Coefficient - Generalization To Real And Complex Argument
The binomial coefficient can be defined for any complex number z and any natural number k as follows:
This generalization is known as...
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Partition Of A Set: Encyclopedia Ii - Partition Of A Set - Definition
A partition of a set X is a set of nonempty subsets of X such that every element x in X is in exactly one of these subsets.
Equivalently,...
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Binomial Coefficient: Encyclopedia Ii - Binomial Coefficient - Newton's Binomial Series
Any polynomial p(z) of degree d can be written in the form
This is important in the theory of difference equations and can be seen as ...
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Romance Languages: Encyclopedia Ii - Romance Languages - Distinguishing Features
Romance languages - Evolution compared to Latin.
According to the results of the study of M. Pei in 1949, which compares the evolution ...
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14 Number: Encyclopedia Ii - 14 Number - In Science
In chemistry,
The atomic number of silicon
The maximum number of electrons that can fit in an f sublevel
In astronomy,
Messier objec...
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Spanish Legislative Election 2004: Encyclopedia Ii - Spanish Legislative Election 2004 - Results
In the Congress of Deputies, the PP vote fell by 6.9 percent, and the party lost 39 seats. The PSOE vote rose by 8.5 percent, bringing a ...
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Semiregular Polyhedra: Encyclopedia Ii - Semiregular Polyhedra - Duals
The dual of a semiregular polyhedron has all identical faces.
This fact means the duals make for "good dice" of varied number of sides b...
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Number Theory: Encyclopedia Ii - Number Theory - Fields
Number theory - Elementary number theory.
In elementary number theory, integers are studied without use of techniques from other mathem...
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Number Theory: Encyclopedia Ii - Number Theory - Fields
Number theory - Elementary number theory.
In elementary number theory, integers are studied without use of techniques from other mathem...
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Partition Of A Set: Encyclopedia Ii - Partition Of A Set - Partial Ordering Of The Lattice Of Partitions
Given two partitions π and ρ of a given set X, we say that π is finer than ρ, or, equivalently, that ρ is coarser than π, if π spl...
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Eggplant: Encyclopedia Ii - Eggplant - Cultivation And Uses
It is an important food crop grown for its large pendulous purple or white fruit. It has been cultivated in southern and eastern Asia cou...
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Super League Europe: Encyclopedia Ii - Super League Europe - History
The competition was first mooted during the Super League war as a way for Rupert Murdoch to gain the upper hand during the battle for sup...
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Binary Tree: Encyclopedia Ii - Binary Tree - Definitions For Rooted Trees
A directed edge connects the parent to the child.
A node that has no children is called a leaf.
The depth of a node n is the length of th...
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Cerdagne: Encyclopedia Ii - Cerdagne - Antiquity
The first inhabitants of Cerdagne probably spoke a language related to the old Basque language and to Aquitanian. Many place names testif...
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Article Grammar: Encyclopedia Ii - Article Grammar - The, The English Grammatical Article
Main article: The
The word the functions primarily as the definite grammatical article in English.
The and that are common developments f...
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Article Grammar: Encyclopedia Ii - Article Grammar - The The English Grammatical Article
Main article: The
The word the functions primarily as the definite grammatical article in English.
The and that are common developments f...
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Val D'aran: Encyclopedia Ii - Val D'aran - Government And Economy
The area is divided in six administrative divisions, called terçons (meaning "thirds", as the divisions were formerly three in number). ...
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European Symbols: Encyclopedia Ii - European Symbols - Anthem
The European anthem is based on the final movement of Beethoven's ninth symphony, which contains the lyrics of Friedrich Schiller's ode, ...
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Article Grammar: Encyclopedia Ii - Article Grammar - The The English Grammatical Article
Main article: The
The word the functions primarily as the definite grammatical article in English.
The and that are common developments f...
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Catálogo Alfabético De Apellidos: Encyclopedia Ii - Catálogo Alfabético De Apellidos - Dissemination Of Surnames
According to the decree, a copy of the catalogue was to be distributed to the provincial heads of the archipelago. From there, a certain ...
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Tragic Week: Encyclopedia Ii - Tragic Week - Aftermath
Police and army casualties were 8 dead and 124 wounded. Of the civilians, 104-150 (the numbers vary) were reportedly killed. The governme...
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Catalan Mythology About Witches: Encyclopedia Ii - Catalan Mythology About Witches - Power And Practices
According to one Catalan tradition, a person who wants to become a witch should go to the seashore, undress completely, and roll around o...
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Tilde: Encyclopedia Ii - Tilde - Diacritic Use
In languages, tilde is a diacritic mark (~) placed over a letter to indicate a change in pronunciation, such as nasalisation.
In Portugue...
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Pascal's Triangle: Encyclopedia Ii - Pascal's Triangle - Uses Of Pascal's Triangle
Pascal's triangle has many uses in binomial expansions. For example
(x + 1)2 = 1x2 + 2x + 12.
Notice the coefficients are the third row...
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Q: Encyclopedia Ii - Q - Usage
In most modern languages, Q is rather superfluous; in Romance and Germanic languages it appears almost exclusively in the digraph QU. In ...
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Tilde: Encyclopedia Ii - Tilde - Diacritic Use
In languages, tilde is a diacritic mark (~) placed over a letter to indicate a change in pronunciation, such as nasalisation.
In Portugue...
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Ramon Llull: Encyclopedia Ii - Ramon Llull - Ars Generalis Ultima
Around 1275, Llull designed a method, which he first published in full in his Ars generalis ultima or Ars magna (1305), of combining attr...
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Street Name: Encyclopedia Ii - Street Name - Street Renaming
Street names can usually be changed relatively easily by municipal authorities for various reasons. Sometimes streets can be renamed to r...
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Binomial Coefficient: Encyclopedia Ii - Binomial Coefficient - Formulas Involving Binomial Coefficients
One has that
which follows from expansion (2) by using (x + y)n = (y + x)n, and is reflected in the numerical "symmetry" of Pascal's t...
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Recursion: Encyclopedia Ii - Recursion - The Recursion Theorem
In set theory, this is a theorem guaranteeing that recursively defined functions exist. Given a set X, an element a of X and a function ,...
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History Of Calculus: Encyclopedia Ii - History Of Calculus - Integrals
Niels Henrik Abel seems to have been the first to consider in a general way the question as to what differential expressions can be integ...
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Murcia: Encyclopedia Ii - Murcia - History
Murcia was founded with the name of Medinat Mursiya in A.D. 825 by Abd ar-Rahman II, emir of Al-Andalus. The Arabs, taking advantage of t...
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Culture Of Venezuela: Encyclopedia Ii - Culture Of Venezuela - History Of The Language Of Venezuela
Venezuela's national, official language is Spanish; however, numerous indigenous languages and those introduced by immigrants created a l...
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Spain Under Franco: Encyclopedia Ii - Spain Under Franco - Genesis Of The Government During The Civil War 1936-1939
The Nationalist senior generals held an informal meeting in September 1936, where they elected Francisco Franco as leader of the National...
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Dictionary: Encyclopedia Ii - Dictionary - Word Order
Today, dictionaries of languages with alphabetic and syllabic writing systems list words in alphabetical or some analogous phonetic order...
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Popular Pages
Sitemap Vii - C
This is a
sitemap for Popular Pages VII - C . Click on a link and you will find multiple definitions and articles
related to the word.
...
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