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Meaning of "Pascal's triangle" in the English dictionary

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DICTIONARY
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ETYMOLOGY OF THE WORD PASCAL'S TRIANGLE

Named after Blaise Pascal.
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Etymology is the study of the origin of words and their changes in structure and significance.
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PRONUNCIATION OF PASCAL'S TRIANGLE

Pascal's triangle play
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GRAMMATICAL CATEGORY OF PASCAL'S TRIANGLE

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Pascal's triangle is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES PASCAL'S TRIANGLE MEAN IN ENGLISH?

Pascal's triangle

Pascal's triangle

In mathematics, Pascal's triangle is a triangular array of the binomial coefficients. It is named after the French mathematician Blaise Pascal in much of the Western world, although other mathematicians studied it centuries before him in India, Greece, Iran, China, Germany, and Italy. The rows of Pascal's triangle are conventionally enumerated starting with row n = 0 at the top. The entries in each row are numbered from the left beginning with k = 0 and are usually staggered relative to the numbers in the adjacent rows. A simple construction of the triangle proceeds in the following manner. On row 0, write only the number 1. Then, to construct the elements of following rows, add the number above and to the left with the number above and to the right to find the new value. If either the number to the right or left is not present, substitute a zero in its place. For example, the first number in the first row is 0 + 1 = 1, whereas the numbers 1 and 3 in the third row are added to produce the number 4 in the fourth row.

Definition of Pascal's triangle in the English dictionary

The definition of Pascal's triangle in the dictionary is a triangle consisting of rows of numbers; the apex is 1 and each row starts and ends with 1, other numbers being obtained by adding together the two numbers on either side in the row above: used to calculate probabilities.

WORDS THAT BEGIN LIKE PASCAL'S TRIANGLE

Parzival
pas
pas de basque
Pas de Calais
pas de chat
pas de deux
pas op
pas seul
Pas-de-Calais
Pasadena
Pasargadae
Pasay
pascal
Pascal´s wager
Pasch
paschal
paschal flower
Paschal Lamb

WORDS THAT END LIKE PASCAL'S TRIANGLE

angle
bangle
Bermuda Triangle
dangle
dihedral angle
golden triangle
love triangle
mangle
quadrangle
rectangle
right angle
right-angled triangle
round angle
single
solid angle
strangle
tangle
the Golden Triangle
triangle
untangle
warning triangle

Synonyms and antonyms of Pascal's triangle in the English dictionary of synonyms

SYNONYMS

Translation of «Pascal's triangle» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF PASCAL'S TRIANGLE

Find out the translation of Pascal's triangle to 25 languages with our English multilingual translator.
The translations of Pascal's triangle from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «Pascal's triangle» in English.

Translator English - Chinese

杨辉三角
1,325 millions of speakers

Translator English - Spanish

El triángulo de Pascal
570 millions of speakers

English

Pascal´s triangle
510 millions of speakers

Translator English - Hindi

पास्कल त्रिकोण
380 millions of speakers
ar

Translator English - Arabic

مثلث باسكال
280 millions of speakers

Translator English - Russian

Треугольник Паскаля
278 millions of speakers

Translator English - Portuguese

Triângulo de Pascal
270 millions of speakers

Translator English - Bengali

পাজলের ত্রিভুজ
260 millions of speakers

Translator English - French

Le triangle de Pascal
220 millions of speakers

Translator English - Malay

Segitiga Pascal
190 millions of speakers

Translator English - German

Pascals Dreieck
180 millions of speakers

Translator English - Japanese

パスカルの三角形
130 millions of speakers

Translator English - Korean

파스칼의 삼각형
85 millions of speakers

Translator English - Javanese

Segitiga Pascal
85 millions of speakers
vi

Translator English - Vietnamese

Tam giác Pascal
80 millions of speakers

Translator English - Tamil

பாஸ்கல் முக்கோணம்
75 millions of speakers

Translator English - Marathi

पास्कलचा त्रिकोण
75 millions of speakers

Translator English - Turkish

Pascal´ın üçgeni
70 millions of speakers

Translator English - Italian

Triangolo di Pascal
65 millions of speakers

Translator English - Polish

Trójkąt Pascala
50 millions of speakers

Translator English - Ukrainian

Трикутник Паскаля
40 millions of speakers

Translator English - Romanian

Triunghiul lui Pascal
30 millions of speakers
el

Translator English - Greek

Τρίγωνο του Πασκάλ
15 millions of speakers
af

Translator English - Afrikaans

Pascal se driehoek
14 millions of speakers
sv

Translator English - Swedish

Pascals triangel
10 millions of speakers
no

Translator English - Norwegian

Pascals trekant
5 millions of speakers

Trends of use of Pascal's triangle

TRENDS

TENDENCIES OF USE OF THE TERM «PASCAL'S TRIANGLE»

The term «Pascal's triangle» is regularly used and occupies the 104.339 position in our list of most widely used terms in the English dictionary.
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100%
FREQUENCY
Regularly used
51
/100
The map shown above gives the frequency of use of the term «Pascal's triangle» in the different countries.
Principal search tendencies and common uses of Pascal's triangle
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Pascal's triangle».

FREQUENCY OF USE OF THE TERM «PASCAL'S TRIANGLE» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «Pascal's triangle» during the past 500 years. Its implementation is based on analysing how often the term «Pascal's triangle» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about Pascal's triangle

EXAMPLES

10 ENGLISH BOOKS RELATING TO «PASCAL'S TRIANGLE»

Discover the use of Pascal's triangle in the following bibliographical selection. Books relating to Pascal's triangle and brief extracts from same to provide context of its use in English literature.
1
Pascal's Arithmetical Triangle: The Story of a Mathematical Idea
"A fascinating book... giving new insights into the early history of probability theory and combinatorics, and incidentally providing much stimulating material for teachers of mathematics." -- International Statistical Institute Review
A. W. F. Edwards, 2002
2
Visual Patterns in Pascal's Triangle
To solve a problem, students must establish connections between the number patterns in Pascal's Triangle.
Dale Seymour, 1986
3
Pascal's Triangle, 2nd Ed
Students at all levels, elementary through college, can find something of interest appropriate to their level and beyond. This book has been designed to provide a vehicle to the discovery of many of those patterns and applications.
Thomas M. Green, 2012
4
Computers, Pattern, Chaos and Beauty
11.2 Exotic Symmetries from Large Pascal's Triangles One of the most famous integer patterns in the history of mathematics is Pascal's triangle (PT).2i The first 7 rows of Pascal's triangle can be represented as: I 1 II 11 121 121 1331 or 1331 1 ...
Clifford A. Pickover, 2012
5
Some Sine and Cosine Identities Obtained from Pascal's Triangle
For m≥0, row m of B consists of a modification of a substring of row 2m of Pascal's Triangle. Now row 2m of Pascal's Triangle contains 2m + 1 entries, and the middle entry is C(2m, m). We take C(2m, m) as the left most entry in row m ofB .
Christopher Schwaner, Christopher White, 2012
6
The Math Book: From Pythagoras to the 57th Dimension, 250 ...
Blaise Pascal (1623-1662), Omar Khayyam (1048-1131) One of the most famous integer patterns in the history of mathematics is Pascal's triangle. Blaise Pascal was the first to write a treatise about this progression in 1654, although the ...
Clifford A. Pickover, 2009
7
Applications of Fibonacci Numbers: Proceedings of 'The ...
Alford INTRODUCTION Pascal's triangle can appear as a member of classes of triangular . arrays where presumably no class member should be ranked in importance over any other. Two such cases which came to mind were the multinomial ...
Gerald E. Bergum, Andreas N. Philippou, A. F. Horadam, 1991
8
College Algebra: A Graphing Approach
Pascal's Triangle There is a convenient way to remember the pattern for binomial coefficients. By arranging the coefficients in a triangular pattern, you obtain the following array, which is called Pascal's Triangle. This triangle is named after the  ...
Ron Larson, Robert P. Hostetler, Bruce Edwards, 2007
9
Ways to Think About Mathematics: Activities and ...
ANTon'S PATH ProbleM, and some variations on these themes — all of which shared a connection with Pascal's Triangle in one way or another. In addition, in the previous section, you explored Pascal's Triangle itself and made — or recalled ...
Steve Benson, Susan Addington, 2004
10
Probability For Dummies
... k! combinations to equal one permutation (which is true because with a combination, you don't care how those k items are arranged, and with a permutation, you do). Figure 5-5: Finding the number of combinations using Pascal's Triangle.
Deborah J. Rumsey, 2006

10 NEWS ITEMS WHICH INCLUDE THE TERM «PASCAL'S TRIANGLE»

Find out what the national and international press are talking about and how the term Pascal's triangle is used in the context of the following news items.
1
Manjul Bhargava extolls the music in mathematics
Pingal's (500 BC) Meruprastar, is now known to us as Pascal's triangle, in neglect of the fact that its discovery happened thousands of years ... «The Hindu, Jul 15»
2
On a Quest for the Three Wise Men of Neyshabur
In a book that is now lost, he wrote about Pascal's triangle. He elaborated Euclid's Elements, a book written by the ancient Greek mathematician ... «Jakarta Globe, Jul 15»
3
Pixar Math -- Inside and Out
If you want something guaranteed to be smooth, take a row of Pascal's Triangle? Remember that? The first row is 1. The second row is 1-1. «Huffington Post, Jul 15»
4
Properties of Pascal's Triangle
Pascal's triangle is a never-ending equilateral triangle of numbers that follow a rule of adding the two numbers above to get the number below. «Live Science, Jun 15»
5
Daily Reads: Putting the "-ism" in Film Criticism, Why Documentaries …
Shapes like Pascal's triangle and certain spirals also follow the sequence, shapes that Berkeley frequently uses in his arrangements. 6. «Indie Wire, Jun 15»
6
Go figure — Yale mathematician is a TV game show pro
He participated in the show via Skype from his Dunham Lab office, with a Yale pennant and Pascal's Triangle — expanding rows of binomial ... «Yale News, May 15»
7
Rail City casino has great keno ticket minimums
If you are familiar with Pascal's triangle this can help a lot in figuring king ticket ways. At $1 per ticket, one choice would be the 28 sixes at 3 ... «GamingTodaySlotsToday, Apr 15»
8
Auburn's Scholastic Bowl team among Top 5 in nation
... building in New York, the theory of torque in mechanical physics, carbon nanotubes, Robert Frost poems and Row 6 of Pascal's Triangle. «Rockford Register Star, Mar 15»
9
Lunch with BS: Rohan Murty, the master of many trades
This leads to a spirited disposition about a poet named Pingala who derived what we know as Pascal's triangle in 500 BC, long before Pascal ... «Business Standard, Mar 15»
10
'e' is here again
Pascal's Triangle is what I'm talking about. It's best to see it as a picture, and you'll find one here: http://tinyurl.com/PascalTrianglePic. But here's ... «Livemint, Feb 15»

REFERENCE
« EDUCALINGO. Pascal's triangle [online]. Available <https://educalingo.com/en/dic-en/pascals-triangle>. Apr 2024 ».
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