...solution, to assign weights to the equations, in order to reduce them all to the same precision, and obtain the most probable values of the corrections to be applied to the assumed position of the solar apex. For this purpose some special considerations are required. Admitting...

...y to be introduced into the equations of condition. The solution of all the equations of condition by the method of least squares will then furnish the most probable values of y and x, or of the secular variations of the eccentricity and mean motion, without any assumption being...

...disturbance of the original elemente. Or, to put it otherwise. According to the theory of probabilities, the most probable values of the corrections to be applied to the angles of a triangulation "are those that render a minimum the sum of the squares of all the errors...

...y to be introduced into the equations of condition. The solution of all the equations of condition by the method of least squares will then furnish the most probable values of y and x, or of the secular variations of the eccer.>icity and mean motion, without any assumption being...

...determinations of the value of the international units in absolute measure, and compile from time to time the most probable values of the corrections to be applied to the international units to give their values in, the CGS system. The Committee shall prepare an annual...

...(6.200) are available as there are observed times of the minima; and their least -squares solution should furnish the most probable values of the corrections to be applied to the preliminary values of the respective elements in order to obtain their definitive set. After this has...