Examples of using Pascal's triangle in English and their translations into Indonesian
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Colloquial
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Ecclesiastic
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Computer
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Ecclesiastic
Pascal 's triangle.
He who used it to prove the binomial theorem, Pascal's triangle, and the sum of integral cubes.
Pascal's Triangle is described by the following formula.
The coefficients 1, 2,1 that appear in this expansion are parallel to the 2nd row of Pascal's triangle.
Pascal's triangle for binomial coefficients was described around 1100 by Jia Xian.
The binomial coefficients 1, 2,1 appearing in this expansion correspond to the third row of Pascal's triangle.
Pascal's triangle for binomial coefficients was described around 1100 by Jia Xian.
Al-Maghribi discovered the equation known as Pascal's triangle 600 years before Pascal himself.
Armed with Pascal's triangle, these companies quickly expanded their range of business.
The binomial coefficients appear as the entries of Pascal's triangle where each entry is the sum of the two above it.
Pascal's triangle led to the first actuary tables that were, and still are, used when calculating insurance rates.
Coupling to n equivalent(spin½) nuclei splits the signal into a n+1multiplet with intensity ratios following Pascal's triangle as described on the right.
For common people“Pascal's triangle” looked more like magic tables of kabbalists or like a mystic Buddhist mandala.
This new vertex is joined to every element in the original simplex to yield a new element of one higher dimension in the new simplex,and this is the origin of the pattern found to be identical to that seen in Pascal's triangle.
The nth row of the Pascal's Triangle will be the coefficients of the expanded binomial.(Note that the top is row 0.).
BC- Indian mathematician Pingala writes the"Chhandah-shastra", which contains the first use of zero(indicated by a dot) and also presents the first description of a binary numeral system,along with the first use of Fibonacci numbers and Pascal's triangle.
Yang Hui triangle( Pascal's triangle) using rod numerals, as depicted in a publication of Zhu Shijie in 1303 AD.
BC- Indian mathematician Pingala writes the"Chhandah-shastra", which contains the first use of zero(indicated by a dot) and also presents the first description of a binary numeral system,along with the first use of Fibonacci numbers and Pascal's triangle.
Knowledge of Pascal's triangle has also been shown to have existed in China centuries before Pascal[33] such as by Shen Kuo.
BC- Indian mathematician Pingala writes the"Chhandah-shastra", which contains the first use of zero(indicated by a dot) and also presents the first description of a binary numeral system,along with the first use of Fibonacci numbers and Pascal's triangle.
To find the pattern, one must construct an analog to Pascal's triangle, whose entries are the coefficients of(x+ 2)Row Number, instead of(x+ 1)Row Number.
In honour of his scientific contributions, the name Pascal has been given to the SIunitofpressure, to a programminglanguage, and Pascal'slaw(an important principle of hydrostatics), and as mentioned above, Pascal's triangle and Pascal'swager still bear his name.
In the lost work Khayyam discusses Pascal's triangle but he was not the first to do so since al-Karaji discussed Pascal's triangle before this date.
Knowledge of Pascal's triangle has also been shown to have existed in China centuries before Pascal, such as the Song dynasty Chinese polymath Shen Kuo.
The other way of manufacturing this triangle is to start with Pascal's triangle and multiply each entry by 2k, where k is the position in the row of the given number.
In the lost work Khayyam discusses Pascal's triangle but he was not the first to do so since the Chinese may have discussed Pascal's triangle slightly before this date.