Systems of Numerations - Revision history

Admin at 09:51, 15 November 2022

2022-11-15T09:51:14Z

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	== References ==		== References ==
	~~[[Category:Mathematics]]~~
	<references />		<references />

	[[Category:Arithmetic]]		[[Category:Arithmetic]]
			[[Category:Mathematics]]
	[[Category:Organic Articles English]]		[[Category:Organic Articles English]]
	~~[[Category:Vigyan Ready]]~~

Indicwiki: 30 revisions imported from :alpha:Systems_of_Numerations

2022-11-15T09:36:27Z

30 revisions imported from alpha:Systems_of_Numerations

← Older revision	Revision as of 15:06, 15 November 2022
(No difference)

alpha>Ramamurthy S: Category added

2022-11-15T07:37:18Z

Category added

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	<references />		<references />
	[[Category:Arithmetic]]		[[Category:Arithmetic]]
			[[Category:Organic Articles English]]
			[[Category:Vigyan Ready]]

alpha>Ramamurthy S: Internal inks added

2022-10-14T06:03:30Z

Internal inks added

← Older revision		Revision as of 11:33, 14 October 2022
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	== Introduction ==		== Introduction ==
	Ancient Indians through the medium of poetry made [[Development of Mathematics\|Mathematics]] simplified and interesting. Through poetry it is easy to remember theorem or formulae and interesting also. The Science of Indian Mathematics was composed in many meters(Chandas) of poetry. Ancient Indians found a unique way to express numbers in poetry. Hence the following two systems of number representation were born.		Ancient Indians through the medium of poetry made [[Development of Mathematics\|Mathematics]] simplified and interesting. Through poetry it is easy to remember theorem or formulae and interesting also. The Science of Indian Mathematics was composed in many meters([[Chandas]]) of poetry. Ancient Indians found a unique way to express numbers in poetry. Hence the following two systems of number representation were born.

	# Bhūta-saṅkhyā system		# Bhūta-saṅkhyā system
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	नञौ अचः च शून्यानि सङ्ख्याः कटपयादयः मिश्रे तु उपान्त्यहल् सङ्ख्या न च चिन्त्यः हलः स्वरः।		नञौ अचः च शून्यानि सङ्ख्याः कटपयादयः मिश्रे तु उपान्त्यहल् सङ्ख्या न च चिन्त्यः हलः स्वरः।

	Above verse from Sadratnamālā ''(सद्रत्नमाला) by Śaṅkaravarman'' , describes the method to be followed.		Above verse from [[Sadratnamālā]] ''(सद्रत्नमाला) by Śaṅkaravarman'' , describes the method to be followed.

	* Consonants are assigned values as given in the table above.		* Consonants are assigned values as given in the table above.

alpha>Ramamurthy S: Content Modified

2022-10-13T09:37:24Z

Content Modified

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	== Introduction ==		== Introduction ==
	Ancient Indians through the medium of poetry made [[Development of Mathematics\|Mathematics]] simplified and interesting. Through poetry it is easy to remember theorem or formulae and interesting also. The Science of Indian Mathematics was composed in many meters(~~chandas~~) of poetry. Ancient Indians found a unique way to express numbers in poetry. Hence the following two systems of number representation were born.		Ancient Indians through the medium of poetry made [[Development of Mathematics\|Mathematics]] simplified and interesting. Through poetry it is easy to remember theorem or formulae and interesting also. The Science of Indian Mathematics was composed in many meters(Chandas) of poetry. Ancient Indians found a unique way to express numbers in poetry. Hence the following two systems of number representation were born.

	# Bhūta-saṅkhyā system		# Bhūta-saṅkhyā system

alpha>Ramamurthy S: Content Modified

2022-10-13T07:48:48Z

Content Modified

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	Number '3' is represented by the word guṇa (triguṇa - three qualities namely Sattva, Rajas, and Tamas).		Number '3' is represented by the word guṇa (triguṇa - three qualities namely Sattva, Rajas, and Tamas).

	Number '4' is represented by the word Veda (~~Rig Veda~~, ~~Yajur Veda~~ , ~~Atharva Veda~~, ~~Sama Veda~~)		Number '4' is represented by the word Veda (Ṛgveda, Yajurveda , Atharvarveda, Sāmaveda)

	A common convention is used while using the words for representation of numbers. The Convention is to follow the rule "अङ्कानां वामतो गतिः" . It means that the numbers are to be read from right to left. Numbers expressed through the words are to be formed from the units place onwards.		A common convention is used while using the words for representation of numbers. The Convention is to follow the rule "अङ्कानां वामतो गतिः" . It means that the numbers are to be read from right to left. Numbers expressed through the words are to be formed from the units place onwards.

alpha>Ramamurthy S: Internal link added

2022-08-17T10:38:50Z

Internal link added

← Older revision		Revision as of 16:08, 17 August 2022
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	== Introduction ==		== Introduction ==
	Ancient Indians through the medium of poetry made Mathematics simplified and interesting. Through poetry it is easy to remember theorem or formulae and interesting also. The Science of Indian Mathematics was composed in many meters(chandas) of poetry. Ancient Indians found a unique way to express numbers in poetry. Hence the following two systems of number representation were born.		Ancient Indians through the medium of poetry made [[Development of Mathematics\|Mathematics]] simplified and interesting. Through poetry it is easy to remember theorem or formulae and interesting also. The Science of Indian Mathematics was composed in many meters(chandas) of poetry. Ancient Indians found a unique way to express numbers in poetry. Hence the following two systems of number representation were born.

	# Bhūta-saṅkhyā system		# Bhūta-saṅkhyā system

alpha>Ramamurthy S: /* List of words used as Bhūta-saṅkhyā */

2022-08-12T02:16:18Z

List of words used as Bhūta-saṅkhyā

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	A common convention is used while using the words for representation of numbers. The Convention is to follow the rule "अङ्कानां वामतो गतिः" . It means that the numbers are to be read from right to left. Numbers expressed through the words are to be formed from the units place onwards.		A common convention is used while using the words for representation of numbers. The Convention is to follow the rule "अङ्कानां वामतो गतिः" . It means that the numbers are to be read from right to left. Numbers expressed through the words are to be formed from the units place onwards.

	~~aśvinī ākāśa guṇa kha candra rūpa bhūmi rāma bhūta bāṇa vāyu mahayajña ṛtu vedāṅga~~

	====== List of words used as Bhūta-saṅkhyā ======		====== List of words used as Bhūta-saṅkhyā ======

alpha>Ramamurthy S: /* List of words used as Bhūta-saṅkhyā */

2022-08-12T01:53:54Z

List of words used as Bhūta-saṅkhyā

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	\|Bhūta		\|Bhūta
	\|Elements		\|Elements
	\|Earth, Water, Fire, Air and Ākāśa - 5 elements		\|[[File:Prakrti.png\|alt=Elements\|thumb\|Elements]]Earth, Water, Fire, Air and Ākāśa - 5 elements
	\|-		\|-
	\|Mahayajña		\|Mahayajña

alpha>Ramamurthy S: /* Kaṭapayādi System ( Letter Numerals) */

2022-07-09T14:52:09Z

Kaṭapayādi System ( Letter Numerals)

← Older revision		Revision as of 20:22, 9 July 2022
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	== Kaṭapayādi System ( Letter Numerals) ==		== Kaṭapayādi System ( Letter Numerals) ==
	[[File:Katapayadi-eng.svg\|alt=Katapayadi-~~sankya~~\|thumb\|Katapayadi-~~sankya~~]]		[[File:Katapayadi-eng.svg\|alt=Katapayadi-system\|thumb\|Katapayadi-system]]
	Kaṭapayādi is a notational system for representing numbers using Samskrit varṇamālā. In this system , the consonants are used in place of digits to express numbers.		Kaṭapayādi is a notational system for representing numbers using Samskrit varṇamālā. In this system , the consonants are used in place of digits to express numbers.
	{\| class="wikitable"		{\| class="wikitable"