Vedic Mathematics/Sutras
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The Sixteen Sutras and their Corollaries are as follows:
Ekadhikina Purvena - By one more than the previous one (Corollary: Anurupyena)
Nikhilam Navatashcaramam Dashatah - All from 9 and the last from 10 (Corollary: Sisyate Sesasamjnah)
Urdhva-Tiryagbyham - Vertically and crosswise (Corollary: Adyamadyenantyamantyena)
Paraavartya Yojayet - Transpose and adjust (Corollary: Kevalaih Saptakam Gunyat)
Shunyam Saamyasamuccaye - When the sum is the same, that sum is zero (Corollary: Vestanam)
(Anurupye) Shunyamanyat - If one is in ratio, the other is zero (Corollary: Yavadunam Tavadunam)
Sankalana-vyavakalanabhyam - By addition and by subtraction (Corollary: Yavadunam Tavadunikritya Varga Yojayet)
Puranapuranabyham - By the completion or non-completion (Corollary: Antyayordashake'pi)
Chalana-Kalanabyham - Differences and Similarities (Corollary: Antyayoreva)
Yaavadunam - Whatever the extent of its deficiency (Corollary: Samuccayagunitah)
Vyashtisamanstih - Part and Whole (Corollary: Lopanasthapanabhyam)
Shesanyankena Charamena - The remainders by the last digit (Corollary: Vilokanam)
Sopaantyadvayamantyam - The ultimate and twice the penultimate (Corollary: Gunitasamuccayah Samuccayagunitah)
Ekanyunena Purvena - By one less than the previous one (Corollary: Dhvajanka)
Gunitasamuchyah - The product of the sum is equal to the sum of the product (Corollary: Dwandwa Yoga)
Gunakasamuchyah - The factors of the sum is equal to the sum of the factors (Corollary: Adyam Antyam Madhyam)