Sentence Examples


  • But the definition of the cardinal number of a class applies when the class is not finite, and it can be proved that there are different infinite cardinal numbers, and that there is a least infinite cardinal, now usually denoted by o where to is the Hebrew letter aleph.
  • Thus it is used to translate the Platonic 'SEa, Et50s, the permanent reality which makes a thing what it is, in contrast with the particulars which are finite and subject to change.
  • One or more of the electrons may be detached from the system by a finite force, the number so detachable depending on the valency of the atom; if the atom loses an electron, it becomes positively electrified; if it receives additional electrons, it is negatively electrified.
  • To Lagrange, perhaps more than to any other, the theory of differential equations is indebted for its position as a science, rather than a collection of ingenious artifices for the solution of particular problems. To the calculus of finite differences he contributed the beautiful formula of interpolation which bears his name; although substantially the same result seems to have been previously obtained by Euler.
  • A perfectly formless matter (materia prima) was regarded by him as the universal substratum and common element of all finite existences.
 

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