P-q Sentence Examples

We may remark the particular result (-) p + p q!

Solving the equation by the Ordinary Theory Of Linear Partial Differential Equations, We Obtain P Q 1 Independent Solutions, Of Which P Appertain To S2Au = 0, Q To 12 B U =0; The Remaining One Is Ab =Aobl A 1 Bo, The Leading Coefficient Of The Jacobian Of The Two Forms. This Constitutes An Algebraically Complete System, And, In Terms Of Its Members, All Seminvariants Can Be Rationally Expressed.

Thus from P+Q - R+S=T we deduce P+(Q - R+S)=P+(T - P).

The loss of Norway necessitated considerable reductions of expenditure, but the economies actually practised fell far short of the requirements of y P q after 1815.

Thus, if the two forces P,Q be represented by the lines OA, OB, they can be replaced by a single force FIG.

For if in the triangle abc the side ab is taken so as to represent on a given scale the tension of the surface of contact of the fluids a and b, and if the other sides be and ca are taken so as to represent on the same scale the tensions of the surfaces between b and c and between c and a respectively, then the condition of equilibrium at 0 for the corresponding tensions R, P and Q is that the angle ROP shall be the supplement of abc, POQ of bca, and, therefore, QOR of cab.

Were there such grounds the of formal logic would require distinct semantic accounts for the wffs p q and p q and p p.