NOTES AND REFERENCES. 
599 
2. Exposition of a general theory of linear transformations, Part I. Carnb. Math. 
Jour. t. ill. 1843, pp. 1—20. 
Exposition of a general theory of linear transformations, Part n. Gamb. Math. Jour. 
t. in. 1843, pp. 106—119. 
3. Notes on linear transformations, Gamb. and Dubl. Math. Jour. t. iv. 1845, pp. 
166—171. 
4. On the theory of linear transformations, Gamb. and Dubl. Math. Jour. t. vi. 
1851, pp. 87—106. 
5. On the reduction of the general equation of the wth degree, Gamb. and Dubl. 
Math. Jour. t. vi. 1851, pp. 106—113. 
6. Letter to the Editor (reply to Prof. Sylvester), Gamb. and Dubl. Math. Jour. 
t. VI. pp. 284, 285. 
Sylvester. 
1. On the intersections, contacts and other relations of two conics expressed by 
indeterminate coordinates, Gamb. and Dubl. Math. Jour. t. v. 1850, pp. 262—282. 
2. On a new class of theorems in elimination between quadratic functions, Phil. 
Mag. t. xxxvii. 1850, pp. 213—218. 
3. On certain general properties of homogeneous functions, Gamb. and Dubl. 
Math. Jour. t. vi. 1851, pp. 1—17. 
4. On the intersections of two conics, Carnb. and Dubl. Math. Jour. t. vi. 1851, 
pp. 18—20. 
5. Reply to Prof. Boole’s Observations contained in the November Number of the 
Journal, Gamb. and Dubl. Math. Jour. t. vi. 1851, pp. 171—174. 
6. Sketch of a memoir on Elimination, Transformation and Canonical forms, Gamb. 
and Dubl. Math. Jour. t. vi. 1851, pp. 186—200. 
7. On the general theory of Associated Algebraical forms, Carnb. and Dubl. Math. 
Jour. t. vi. 1851, pp. 18—20. 
8. On Canonical forms, 8vo. London, Bell, 1851. 
9. On a remarkable discovery in the theory of Canonical forms and of hyper 
determinants, Phil. Mag. t. II. 1851, pp. 391—410. 
10. On the Principles of the Calculus of Forms. Part I. Generation of Forms. 
Sect 1. On Simple Concomitance. 2. On Complex Concomitance. 3. On Commutants. 
Notes in Appendix (1), (2), (3), (4), (5), (6), (7), (8), Gamb. and Dubl. Math. Jour. t. vi. 
1852, pp. 52—97. 
11. On the Principles of the Calculus of Forms. Sect. 4. Reciprocity, also 
Properties and Analogies of Certain Invariants &c. 5. Applications and Extension of 
the theory of the Plexus. 6. On the partial differential equations to Concomitants, 
Orthogonal and Plagional Invariants, &c. Notes in Appendix (9), (10), (11). Postscript, 
Gamb. and Dubl. Math. Jour. t. vi. 1852, pp. 179—217.