Ramamurthy: Headings modified

2023-09-01T08:30:38Z

Headings modified

← Older revision		Revision as of 14:00, 1 September 2023
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	[[Category:Mathematics in Pāṭīgaṇitam]]		[[Category:Mathematics in Pāṭīgaṇitam]]
	[[Category:General]]		[[Category:General]]
	~~==Introduction==~~
	Here we will know the names used to denote the place value of digits as mentioned in Pāṭīgaṇitam.		Here we will know the names used to denote the place value of digits as mentioned in Pāṭīgaṇitam.

	==Verse==		==Verse==
	एकं दश शतमस्मात्सहस्रमयुतं ततः परं लक्षम् ।		एकं दश शतमस्मात्सहस्रमयुतं ततः परं लक्षम् ।

Ramamurthy at 10:18, 24 August 2023

2023-08-24T10:18:14Z

← Older revision		Revision as of 15:48, 24 August 2023
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	\|}Here each number is 10 times the previous number. ''daśa'' is 10 times of ''ekam. śatam'' is 10 times of ''daśa. sahasram'' is 10 times of ''śatam'' etc.		\|}Here each number is 10 times the previous number. ''daśa'' is 10 times of ''ekam. śatam'' is 10 times of ''daśa. sahasram'' is 10 times of ''śatam'' etc.
	==See Also==		==See Also==
	[https://alpha.indicwiki.in/index.php?title=%E0%A4%AA%E0%A4%BE%E0%A4%9F%E0%A5%80%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A4%AE%E0%A5%8D_%E0%A4%AE%E0%A5%87%E0%A4%82_%27%E0%A4%B8%E0%A4%BE%E0%A4%82%E0%A4%95%E0%A5%87%E0%A4%A4%E0%A4%BF%E0%A4%95_%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%BE%E0%A4%A8%27 पाटीगणितम् में 'सांकेतिक स्थान']		[[पाटीगणितम् में 'सांकेतिक स्थान']]
	==References==		==References==
	<references />		<references />

Ramamurthy: content modified

2023-08-24T09:19:59Z

content modified

← Older revision		Revision as of 14:49, 24 August 2023
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	[[Category:Mathematics in Pāṭīgaṇitam]]		[[Category:Mathematics in Pāṭīgaṇitam]]
	[[Category:General]]		[[Category:General]]
			==Introduction==
			Here we will know the names used to denote the place value of digits as mentioned in Pāṭīgaṇitam.
			==Verse==
			एकं दश शतमस्मात्सहस्रमयुतं ततः परं लक्षम् ।

			प्रयुतं कोटिमथार्बुदमब्ज खर्वं निखर्वं च ॥ ७ ॥

			तस्मान् महासरोजं शङ्कुं सरितां पतिं ततस्त्वन्त्यम् ।

			मध्यं परार्द्धमाहुर्यथोत्तरं दशगुणं तज्ज्ञाः ॥ ८ ॥
			==Translation==
			ekam , daśa , śatam , sahasram , ayutam , lakṣam , prayutam, koṭiḥ, arbudam , abjam , kharvaḥ, nikharvaḥ , mahāsarojam , śaṅku , saritapati , antyam , madhyam and parārdham are each stated to be ten times the preceding by those who have a knowledge of them.<ref>{{Cite book\|last=Shukla\|first=Kripa Shankar\|title=The Pāṭīgaṇita of Śrīdharācārya\|publisher=Lucknow University\|year=1959\|location=Lucknow\|pages=2}}</ref>
			{\| class="wikitable"
			!Name
			!Indian Notation
			!Power
			Notation
			!Indian System
			\|-
			\|एकम् (''ekam'')
			\|<small>1</small>
			\|10<sup>0</sup>
			\|One
			\|-
			\|दश (''daśa'')
			\|<small>10</small>
			\|10<sup>1</sup>
			\|Ten
			\|-
			\|शतम् (''śatam'')
			\|<small>100</small>
			\|10<sup>2</sup>
			\|One hundred
			\|-
			\|सहस्रम् (''sahasram'')
			\|<small>1,000</small>
			\|10<sup>3</sup>
			\|One thousand
			\|-
			\|अयुतम् (''ayutam'')
			\|<small>10,000</small>
			\|10<sup>4</sup>
			\|Ten thousand
			\|-
			\|लक्षम् (''lakṣam'')
			\|<small>1,00,000</small>
			\|10<sup>5</sup>
			\|One Lakh
			\|-
			\|प्रयुतम् (''prayutam'')
			\|<small>10 ''lakṣam''</small>
			\|10<sup>6</sup>
			\|Ten Lakhs
			\|-
			\|कोटिः (''koṭiḥ'')
			\|<small>10 ''prayutam''</small>
			\|10<sup>7</sup>
			\|One crore
			\|-
			\|अर्बुदम् (''arbudam'')
			\|<small>10 ''koṭiḥ''</small>
			\|10<sup>8</sup>
			\|Ten crore
			\|-
			\|अब्जम् (''abjam'')
			\|<small>10 ''arbudam''</small>
			\|10<sup>9</sup>
			\|Hundred crore
			\|-
			\|खर्वः (''kharvaḥ'')
			\|<small>10 ''abjam''</small>
			\|10<sup>10</sup>
			\|Thousand crore
			\|-
			\|निखर्वः (''nikharvaḥ'')
			\|<small>10 ''kharvaḥ''</small>
			\|10<sup>11</sup>
			\|Ten thousand crore
			\|-
			\|महासरोजम् (''mahāsarojam'' )
			\|<small>10 ''nikharvaḥ''</small>
			\|10<sup>12</sup>
			\|One lakh crore
			\|-
			\|शङ्क़ुः (''śaṅkuḥ'')
			\|<small>10 ''mahāsarojam''</small>
			\|10<sup>13</sup>
			\|Ten lakh crore
			\|-
			\|सरिता-पति (''sarita-pati'')
			\|<small>10 ''śaṅkuḥ''</small>
			\|10<sup>14</sup>
			\|Crore of crore
			\|-
			\|अन्त्यम् (''antyam'')
			\|<small>10 ''sarita-pati''</small>
			\|10<sup>15</sup>
			\|Ten crores of crore
			\|-
			\|मध्यम् (''madhyam'')
			\|<small>10 ''antyam''</small>
			\|10<sup>16</sup>
			\|Hundred crores of crore
			\|-
			\|परार्द्धम् (''parārdham'')
			\|<small>10 ''madhyam''</small>
			\|10<sup>17</sup>
			\|Thousand crores of crore
			\|}Here each number is 10 times the previous number. ''daśa'' is 10 times of ''ekam. śatam'' is 10 times of ''daśa. sahasram'' is 10 times of ''śatam'' etc.
			==See Also==
			[https://alpha.indicwiki.in/index.php?title=%E0%A4%AA%E0%A4%BE%E0%A4%9F%E0%A5%80%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A4%AE%E0%A5%8D_%E0%A4%AE%E0%A5%87%E0%A4%82_%27%E0%A4%B8%E0%A4%BE%E0%A4%82%E0%A4%95%E0%A5%87%E0%A4%A4%E0%A4%BF%E0%A4%95_%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%BE%E0%A4%A8%27 पाटीगणितम् में 'सांकेतिक स्थान']
			==References==
			<references />

Ramamurthy: New Page created

2023-08-23T06:25:07Z

New Page created

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[[Category:Mathematics in Pāṭīgaṇitam]]
[[Category:General]]

Notational Places in Pāṭīgaṇitam - Revision history

Ramamurthy: Headings modified

Ramamurthy at 10:18, 24 August 2023

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