Vedic Math

http://hinduism.about.com/od/basics/a/yamas_niyamas.htm

By Subhamoy Das
Vedic Math essentially rests on the 16 Sutras or mathematical formulas as referred to in the Vedas. Sri Sathya Sai Veda Pratishtan has compiled these 16 Sutras and 13 sub-Sutras. The links below take you to the explanation, meaning and methods of application with examples for these Sutras.
Vedic Math dasarnya terdiri dari 16 Sutra atau rumus matematika sebagaimana dimaksud dalam Veda. Sri Sathya Sai Veda Pratishtan telah disusun 16 Sutra dan 13 sub-Sutra ini. Link di bawah ini membawa Anda ke penjelasan, makna dan metode aplikasi dengan contoh untuk Sutra ini.
Ekadhikina Purvena
(Corollary: Anurupyena)
Meaning: By one more than the previous one
Artinya: Dengan satu lagi dari yang sebelumnya
Nikhilam Navatashcaramam Dashatah
(Corollary: Sisyate Sesasamjnah)
Meaning: All from 9 and the last from 10
Artinya: Semua dari 9 dan terakhir dari 10
Urdhva-Tiryagbyham
(Corollary: Adyamadyenantyamantyena)
Meaning: Vertically and crosswise
Artinya: Vertikal dan melintang
Paraavartya Yojayet
(Corollary: Kevalaih Saptakam Gunyat)
Meaning: Transpose and adjust
Artinya: Transpose dan menyesuaikan
Shunyam Saamyasamuccaye
(Corollary: Vestanam)
Meaning: When the sum is the same that sum is zero
Artinya: Ketika jumlahnya sama maka penjumlahan nol
(Anurupye) Shunyamanyat
(Corollary: Yavadunam Tavadunam)
Meaning: If one is in ratio, the other is zero
Artinya: Jika salah satu rasio, yang lain adalah nol
Sankalana-vyavakalanabhyam
(Corollary: Yavadunam Tavadunikritya Varga Yojayet)
Meaning: By addition and by subtraction
Artinya: Dengan penambahan dan pengurangan
Puranapuranabyham
(Corollary: Antyayordashake'pi)
Meaning: By the completion or non-completion
Artinya: Dengan penyelesaian atau tidak-selesai
Chalana-Kalanabyham
(Corollary: Antyayoreva)
Meaning: Differences and Similarities
Artinya: Perbedaan dan Persamaan
Yaavadunam
(Corollary: Samuccayagunitah)
Meaning: Whatever the extent of its deficiency
Artinya: Apapun tingkat kekurangan nya
Vyashtisamanstih
(Corollary: Lopanasthapanabhyam)
Meaning: Part and Whole
sebagian atau seluruhnya
Shesanyankena Charamena
(Corollary: Vilokanam)
Meaning: The remainders by the last digit
Artinya: Sisanya oleh digit terakhir
Sopaantyadvayamantyam
(Corollary: Gunitasamuccayah Samuccayagunitah)
Meaning: The ultimate and twice the penultimate
Artinya: terakhir dan dua kali kedua dari belakang
Ekanyunena Purvena
(Corollary: Dhvajanka)
Meaning: By one less than the previous one
Artinya: Dengan satu kurang dari yang sebelumnya
Gunitasamuchyah
(Corollary: Dwandwa Yoga)
Meaning: The product of the sum is equal to the sum of the product
Artinya: Produk dari jumlah tersebut sama dengan jumlah produk
Gunakasamuchyah
(Corollary: Adyam Antyam Madhyam)
Meaning: The factors of the sum is equal to the sum of the factors
Artinya: Faktor dari jumlah tersebut adalah sama dengan jumlah dari faktor

By Subhamoy Das

Vedic Math essentially rests on the 16 Sutras or mathematical formulas as referred to in the Vedas. Sri Sathya Sai Veda Pratishtan has compiled these 16 Sutras and 13 sub-Sutras. The links below take you to the explanation, meaning and methods of application with examples for these Sutras.

1. Ekadhikina Purvena
   (Corollary: Anurupyena)
   Meaning: By one more than the previous one
   
2. Nikhilam Navatashcaramam Dashatah
   (Corollary: Sisyate Sesasamjnah)
   Meaning: All from 9 and the last from 10
   

1. Urdhva-Tiryagbyham
   (Corollary: Adyamadyenantyamantyena)
   Meaning: Vertically and crosswise
   
2. Paraavartya Yojayet
   (Corollary: Kevalaih Saptakam Gunyat)
   Meaning: Transpose and adjust
   
3. Shunyam Saamyasamuccaye
   (Corollary: Vestanam)
   Meaning: When the sum is the same that sum is zero
   
4. (Anurupye) Shunyamanyat
   (Corollary: Yavadunam Tavadunam)
   Meaning: If one is in ratio, the other is zero
   
5. Sankalana-vyavakalanabhyam
   (Corollary: Yavadunam Tavadunikritya Varga Yojayet)
   Meaning: By addition and by subtraction
   
   
6. Puranapuranabyham
   (Corollary: Antyayordashake'pi)
   Meaning: By the completion or non-completion
   
7. Chalana-Kalanabyham
   (Corollary: Antyayoreva)
   Meaning: Differences and Similarities
   
8. Yaavadunam
   (Corollary: Samuccayagunitah)
   Meaning: Whatever the extent of its deficiency
   
   
9. Vyashtisamanstih
   (Corollary: Lopanasthapanabhyam)
   Meaning: Part and Whole
   
10. Shesanyankena Charamena
    (Corollary: Vilokanam)
    Meaning: The remainders by the last digit
    
11. Sopaantyadvayamantyam
    (Corollary: Gunitasamuccayah Samuccayagunitah)
    Meaning: The ultimate and twice the penultimate
    

1. Ekanyunena Purvena
   (Corollary: Dhvajanka)
   Meaning: By one less than the previous one
   
2. Gunitasamuchyah
   (Corollary: Dwandwa Yoga)
   Meaning: The product of the sum is equal to the sum of the product
   
3. Gunakasamuchyah
   (Corollary: Adyam Antyam Madhyam)
   Meaning: The factors of the sum is equal to the sum of the factors

Vedic Math Basics

By Subhamoy Das

Vedic Math essentially rests on the 16 Sutras or mathematical formulas as referred to in the Vedas. Sri Sathya Sai Veda Pratishtan has compiled these 16 Sutras and 13 sub-Sutras. The links below take you to the explanation, meaning and methods of application with examples for these Sutras.

1. Ekadhikina Purvena
   (Corollary: Anurupyena)
   Meaning: By one more than the previous one
   
2. Nikhilam Navatashcaramam Dashatah
   (Corollary: Sisyate Sesasamjnah)
   Meaning: All from 9 and the last from 10
   

1. Urdhva-Tiryagbyham
   (Corollary: Adyamadyenantyamantyena)
   Meaning: Vertically and crosswise
   
2. Paraavartya Yojayet
   (Corollary: Kevalaih Saptakam Gunyat)
   Meaning: Transpose and adjust
   
3. Shunyam Saamyasamuccaye
   (Corollary: Vestanam)
   Meaning: When the sum is the same that sum is zero
   
4. (Anurupye) Shunyamanyat
   (Corollary: Yavadunam Tavadunam)
   Meaning: If one is in ratio, the other is zero
   
5. Sankalana-vyavakalanabhyam
   (Corollary: Yavadunam Tavadunikritya Varga Yojayet)
   Meaning: By addition and by subtraction
   
   
6. Puranapuranabyham
   (Corollary: Antyayordashake'pi)
   Meaning: By the completion or non-completion
   
7. Chalana-Kalanabyham
   (Corollary: Antyayoreva)
   Meaning: Differences and Similarities
   
8. Yaavadunam
   (Corollary: Samuccayagunitah)
   Meaning: Whatever the extent of its deficiency
   
   
9. Vyashtisamanstih
   (Corollary: Lopanasthapanabhyam)
   Meaning: Part and Whole
   
10. Shesanyankena Charamena
    (Corollary: Vilokanam)
    Meaning: The remainders by the last digit
    
11. Sopaantyadvayamantyam
    (Corollary: Gunitasamuccayah Samuccayagunitah)
    Meaning: The ultimate and twice the penultimate
    

1. Ekanyunena Purvena
   (Corollary: Dhvajanka)
   Meaning: By one less than the previous one
   
2. Gunitasamuchyah
   (Corollary: Dwandwa Yoga)
   Meaning: The product of the sum is equal to the sum of the product
   
3. Gunakasamuchyah
   (Corollary: Adyam Antyam Madhyam)
   Meaning: The factors of the sum is equal to the sum of the factors

Vedic Math Basics