Sentence examples for derivation of equation from inspiring English sources

(For a derivation of equation (2), observe that in order to draw exactly i red balls in n draws one must either draw i red balls in the first n − 1 draws and a black ball on the nth draw or draw i − 1 red balls in the first n − 1 draws followed by the ith red ball on the nth draw.

We now give a derivation of equation (1.11).

This appendix presents the derivation of Equation 5 from (4).

This appendix provides a detailed derivation of Equation (36).

13550_2013_149_MOESM1_ESM.pdf Additional file 1: Derivation of Equation 12.

The detailed derivation of Equation 2 can be found in [9,10].

CPH analyzed derivation of equations and revised the manuscript.

This completes the derivation of Equations 32 and 33.

For more details on the derivation of Equations (10) and (14), please refer to [12].

The derivation of Equations 26 and 27 is given in the Appendix.

PW is the second author whose main contribution includes analyzing the derivation of equations and refining the whole paper.