A New Simple And General Method of Solving Numerical Equations of All Orders
A New Simple And General Method of Solving Numerical Equations of All Orders
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In our eReader you can find the full English version of the book. Read A New Simple And General Method of Solving Numerical Equations of All Orders Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A New Simple And General Method of Solving Numerical Equations of All Orders
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) . •. Ajr=(l +r) . Ar A^r={l +r) . Ajj* A„_i»-=(l+r) . A„_, Bir=(l+r) . Br B^r=(l+r) . Bj/- &c. Now Ar, Ajr, A^r \-. I^'> Br, Bjr, B^r g _ ^ ; &c. , which we shall denote by A', A\, A\ A'^ ij B', B'j, B'2 B'jj 2 J ^c. , axe the addends employed in article 3, and it ia plain from the above values that they may be derived from each other by the process in article 4. It is also obvious (article 3) that A^=A + Ar + Ajr +A^_ir =A + A'+A', + A'„_i B„_, =B + Br + B, r +B„_2r =B + B' + B\ + B'„_2 &c. ...Hence instead of employing the process in article 4 we may employ the following : ABC y fi a.
+ A' +B' +C' +. / ^^ + A\ +B\ +C\ +y\ + A'„_3 + A'„_2 + B + B «— 3 B— 2 + C'„_3 Cjj 2 V2 + A'„_, B„-x K 6. We shall now proceed to to develope our method.
Let us represent the given equation by F(a;), and the first of the succeeding transformed equations by F^{x^), the second by F^i^z)^ the third by F3(a;3), &c. ; also the limiting equations of F(x) by F'(x), F"(x), &c.
What to read after A New Simple And General Method of Solving Numerical Equations of All Orders?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Weddle to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
) . •. Ajr=(l +r) . Ar A^r={l +r) . Ajj* A„_i»-=(l+r) . A„_, Bir=(l+r) . Br B^r=(l+r) . Bj/- &c. Now Ar, Ajr, A^r \-. I^'> Br, Bjr, B^r g _ ^ ; &c. , which we shall denote by A', A\, A\ A'^ ij B', B'j, B'2 B'jj 2 J ^c. , axe the addends employed in article 3, and it ia plain from the above values that they may be derived from each other by the process in article 4. It is also obvious (article 3) that A^=A + Ar + Ajr +A^_ir =A + A'+A', + A'„_i B„_, =B + Br + B, r +B„_2r =B + B' + B\ + B'„_2 &c. ...Hence instead of employing the process in article 4 we may employ the following : ABC y fi a.
+ A' +B' +C' +. / ^^ + A\ +B\ +C\ +y\ + A'„_3 + A'„_2 + B + B «— 3 B— 2 + C'„_3 Cjj 2 V2 + A'„_, B„-x K 6. We shall now proceed to to develope our method.
Let us represent the given equation by F(a;), and the first of the succeeding transformed equations by F^{x^), the second by F^i^z)^ the third by F3(a;3), &c. ; also the limiting equations of F(x) by F'(x), F"(x), &c.
What to read after A New Simple And General Method of Solving Numerical Equations of All Orders?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Weddle to read onlineMoreLess
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