Issue was between a federal and a unitary form of government.
Which is satisfied by every symmetric fraction whose partition contains no unit (called by Cayley non-unitary symmetric functions), is of particular importance in algebraic theories.
According to Gerhardt, the process of substitution consisted of the union of two residues to fo- m a unitary whole; these residues, previously termed " compound radicals," are atomic complexes which remain over from the interaction of two compounds.
All symmetric functions are expressible in terms of the quantities ap g in a rational integral form; from this property they are termed elementary functions; further they are said to be single-unitary since each part of the partition denoting ap q involves but a single unit.
Being subsequently put equal to a, a non-unitary symmetric function will be produced.
The extraordinary advantage of the transformation of S2 to association with non-unitary symmetric functions is now apparent; for we may take, as representative forms, the symmetric functions which are symbolically denoted by the partitions referred to.
Clause II of the law runs: - " In pursuance of the constitutional military prerogatives of His Majesty, everything relating to the unitary direction, leadership and inner organization of the whole army, and thus also of the Hungarian army as a complementary part of the whole army, is recognized as subject to His Majesty's disposal."
There must be convergence in a unitary principle, soul or consciousness, which is that which really functions in perception, the senses and their organs being merely its instruments.
Again it was known that the Transvaal and Orange River colonies on their attainment of self-government would each demand full control of their own resources, to the detriment of the unitary services which Lord Milner had established.
Every symmetric function denoted by partitions, not involving the figure unity (say a non-unitary symmetric function), which remains unchanged by any increase of n, is also a seminvariant, and we may take if we please another fundamental system, viz.
Putting n equal to co, in a generating function obtained above, we find that the function, which enumerates the asyzvgetic seminvariants of degree 0, is 1 1-z2.1-z3.1-z4....1-z0 that is to say, of the weight w, we have one form corresponding to each non-unitary partition of w into the parts 2, 3, 4,...0.
Since Hungary reserved her right to fix the conditions on which recruits should be granted, the partisans of the Magyar words of command argued that the abolition of the German words of command in the Hungarian regiments might be made such a condition, despite the enumeration in the preceding clause 11, of everything appertaining to the unitary leadership and inner organization of the joint Austro-Hungarian army as belonging to the constitutional military prerogatives of the crown.
Berzelius, which at the time his work began were widely accepted as the true theory of the constitution of compound bodies, and opposed a unitary view to the dualistic conception of the Swedish chemist.
Unwilling to discard the strictly unitary views of these chemists, or to adopt the copulae theory of Berzelius, he revived the notion of radicals in a new form.
The important result is that the theory of invariants is from a certain point of view coincident with the theory of non-unitary symmetric functions.
On January 9, 1878, the death of Victor Emmanuel and the accession of King Humbert enabled Crispi to secure the formal establishment of a unitary monarchy, the new monarch taking the title of Humbert I.
(3) A judgment is a unitary mental act, dividing not itself but its object into the object itself and itself as determined, and signifying that it is so determined.
The deities of different local centres may be identified; many such combinations took place in Egypt, and Isis in late days served to her votaries as the unitary principle which appeared in one figure after another of whole pantheons.
Remark, too, that we are in association with non-unitary symmetric functions of two systems of quantities which will be denoted by partitions in brackets ()a, ()b respectively.
His two newspapers, the Illyrian National Gazette and the Danica Ilirska (Illyrian Daystar) provided a literary focus for the rising generation; while his reform of Croat orthography, planned on parallel lines with Vuk Karadzic's epochmaking philological work in Serbia, assured to modern SerboCroat literature a definitely unitary development.
Wundt founds his whole philosophy on four psychological positions: his phenomenalistic theory of unitary experience, his voluntarism, his actualistic theory of soul, and his psychological theory of parallelism.
According to him, we begin with an experience of ideas, in which object and idea are originally identical (V orstellungsobject); we divide this unitary experience into its subjective and objective factors; and especially in natural science we so far abstract the objects as to believe them at last to be independent things; but it is the office of psychology to warn us against this popular dualism, and to teach us that there is only a duality of psychical and physical, which are divisible, not separable, factors of one and the same content of our immediate experience; and experience is our whole knowledge.
According to him, that which acts in all organisms, that which acts in all thinking, that which divides unitary experience into subject and object, the source of self-consciousness, the unity of our mental life, " the most proper being of the individual subject is will."
Fechner added that the soul is the whole unitary spiritual process manifested in the whole unitary bodily process without being a substance.
Taking substance entirely in the sense of substrate, he argues that there is no evidence of a substantial substrate beneath mental operations; that there is nothing except unitary experience consisting of ideas, feelings, volitions, and their unity of will; and that soul in short is not substantia, but actus.
Wundt, however, has satisfied himself, like Fechner, that there is no real opposition of body and soul, and concludes, in accordance with his own phenomenalism, that his body is only an object abstracted from his unitary experience, which is all that really is of him.
Hence his fourth point is his psychological theory of parallelism of physical and psychical reduced to identity in unitary experience.
According to his phenomenalism, the external stimulus and the physiological stimulus are both parallels of the same psychical process; the external body, as well as my body, is merely an object abstracted from an idea of my experience; and what is really known in every case is a unitary experience; divisible, but not separable, into body and soul, physical and psychical factors of one and the same unitary experience.
His pupil, Oswald Kiilpe (1862), who bases his Grundriss der Psychologie on the hypothesis of unitary experience, says in his Einleitung in die Philosophie (1895; 4th ed.
His unitary conceptions may be summarized: every chemical compound forms a complete whole, and cannot therefore consist of two parts; and its chemical character depends primarily upon the arrangement and number of the atoms, and, in a lesser degree, upon their chemical nature.
=0, are non-unitary symmetric functions of the roots of a xn-a l xn 1 a2 x n-2 -...
But they are no longer used as indirect proofs of a universe of pure and unitary Being.
His first position is his phenomenalistic theory of unitary experience.
On the whole, his voluntarism, though like that of Schopenhauer and Hartmann, is not the same; not Schopenhauer's, because the ideating will of Wundt's philosophy is not a universal irrational will; and not Hartmann's, because, although ideating will, according to Wundt's phenomenalism, is supposed to extend through the world of organisms, the whole inorganic world remains a mere object of unitary experience.
Wundt, starting from a psychology of unitary experience, deduces a consistent metaphysics of no inference of things transcending experience throughout - or rather until he came to the very last sentence of his System der Philosophie (1889), where he suddenly passes from a necessity of " ideals " (Ideen), to a necessity of " faith " (Glauben), without " knowledge " (Wissen).
Hence, according to Wundt, the world we know is still unitary experience, distinguished, not separated, into subject and object, aggregates of ideas analysed by judgment and combined by inference, an object of idea elaborated into causes and substances by logical thinking, at most a world of our ideas composed out of our sensations, and arranged under our categories of our understanding by our inner wills, or a world of our ideating wills; but nothing else.
The System then ends with the necessity of an " ideal " of God as world-will, but provides no ground for the necessity of any belief whatever in the being of God, or indeed in any being at all beyond our own unitary experience.
What a pity it is that Wundt had committed himself by his psychology to phenomenalism, to unitary experience, and to the limitation of judgment and reason to ideas and ideals!