These fundamental ideas -- the indivisibility of sovereignty and its dual ( internal-external ) aspects -- still remain the core of that concept of ultimate political power.

These are few and seemingly disjointed data, but they illustrate the important fact that fundamental alterations in conditioned reactions occur in a variety of states in which the hypothalamic balance has been altered by physiological experimentation, pharmacological action, or clinical processes.

These dynamic relationships, between what can be observed on the ground, as opposed to what can be observed by compiling many local observations remain fundamental in any kind of anthropology, whether cultural, biological, linguistic or archaeological.

These realities form a " composite faithfulness " and are ( i ) " perseverance in the apostolic doctrine "; ( ii ) " the will to proclaim God's word "; ( iii ) " communion in the fundamental continuity of the Church, the Body of Christ, the faithful celebration of Baptism and the Eucharist "; ( iv ) " succession in the laying on of hands, the sign of ministerial continuity ".

These authors proved, however, that no optical system can justify these suppositions, since they are contradictory to the fundamental laws of reflexion and refraction.

These range from simplified forms of the first-principles equations that are easier or faster to solve, to approximations limiting the size of the system ( for example, periodic boundary conditions ), to fundamental approximations to the underlying equations that are required to achieve any solution to them at all.

These principles are widely used intuitively in various kinds of proofs, demonstrations and investigations, in addition to being fundamental to experimental design.

These are sometimes " disenrolled " and are considered to have never actually been Bahá ' ís, given their fundamental diversion from this core Bahá ' í doctrine.

These fields of study were essentially created by Claude Shannon, who published fundamental papers on the topic in the late 1940s and early 1950s.

These philosophers often view aesthetics, etiquette, and arbitration as more fundamental, percolating " bottom up " to imply the existence of, rather than explicitly prescribe, theories of value or of conduct.

These spaces are of fundamental importance in many areas, including the mathematical formulation of quantum mechanics.

These developments represented a fundamental change in literary criticism, which came to focus more on character and less on plot.

These features are fundamental to the nature of jazz.

These efforts had important effects, but they lacked any central organization and planning, and failed to meet many of Europe's more fundamental needs.

These microinstructions control the CPU at a very fundamental level of hardware circuitry.

These fundamental ontological categories provide the basis for communication in an age: a horizon of unspoken and seemingly unquestionable background meanings, such as human beings understood unquestioningly as subjects and other entities understood unquestioningly as objects.

These fundamental questions involved a conceptual distinction between the concepts of " state " and " government.

These axioms have been used nearly unchanged in a number of metamathematical investigations, including research into fundamental questions of consistency and completeness of number theory.

These quantities can then be absorbed into an infinite collection of coupling constants, and at energies well below the fundamental cutoff of the theory, to any desired precision ; only a finite number of these coupling constants need to be measured in order to make legitimate quantum-mechanical predictions.

These forces, and also energy gained from the scattering particle by the lighter target, change the scattering results in fundamental ways which suggest structural information about the target.

Xeer is defined by a few fundamental tenets that are immutable and which closely approximate the principle of jus cogens in international law: These precepts include: a ) payment of blood money ( locally referred to as diya ) for libel, theft, physical harm, rape and death, as well as supplying assistance to relatives ; b ) assuring good inter-clan relations by treating women justly, negotiating with " peace emissaries " in good faith, and sparing the lives of socially protected groups " Birr Magaydo ," ( e. g. children, women, the pious, poets, messengers, sheikhs, and guests ); c ) family obligations such as the payment of dowry, and sanctions for eloping ; d ) rules pertaining to the management of resources such as the use of pasture land, water, and other natural resources ; e ) providing financial support to married female relatives and newlyweds ; f ) donating livestock and other assets to the poor.

These elementary particles interact via at most three fundamental interactions: the electroweak interaction which includes electromagnetism and the weak nuclear force ; the strong nuclear force described by quantum chromodynamics ; and gravity, which is best described at present by general relativity.

These " Instructions " refuted the Marxist-based idea that class struggle is fundamental to history, and rejected the interpretation of religious phenomena such as the Exodus and the Eucharist in exclusively political terms.

These types of founders not only diverge in fundamental ways in terms of their self-views and their social motivations in entrepreneurship, but also engage fairly differently in new firm creation.

These similarities include the energy carrier adenosine triphosphate ( ATP ), and the fact that all amino acids found in proteins are left-handed.

These FAPs could then be compared across species, and the similarities and differences between behaviour could be easily compared with the similarities and differences in morphology.

These markings have similarities to what later became Indus Script.

" These similarities earlier novel 666 are noteworthy, I think, for a couple of reasons.

These striking similarities in metabolic pathways are likely due to their early appearance in evolutionary history, and being retained because of their efficacy.

These similarities in civil law include: a ) a charter which affirms the primacy of Muslim shari ' a or religious law, although in practice shari ' a is applied mainly to matters such as marriage, divorce, inheritance, and civil issues.

These studies reveal that the result of extraterrestrial contact will be strongly governed by the benevolence or malevolence of an extraterrestrial civilization, how advanced it is technologically, and whether or not such a species sends robotic probes to contact humanity, as opposed to radio signals from a centralized source, as well as biological similarities and differences between humanity and the extraterrestrial species.

These similarities and influences have led some scholars to suggest that Islamic law may have laid the foundations for " the common law as an integrated whole ".

" These findings suggest similarities between humans and chimpanzees exist in more than genes alone, but can be seen in emotion, intelligence, and family and social relationships.

" These findings revolutionized contemporary knowledge of chimpanzee behaviour, and were further evidence of the social similarities between humans and chimpanzees, albeit in a much darker manner.

These desserts, while the shape of doughnut holes, can in no way be considered donuts as they are not fried nor have they any similarities of origin.

These data are not yet reflected in the classification scheme, which groups kinkajous and olingos together on the basis of similarities in morphology that are now known to be an example of parallel evolution.

These similarities among species are called homologous structures, which are structures that have the same or similar function and mechanism, having evolved from a common ancestor.

These theories tend to blur the lines between magic, science, and religion, asserting the similarities between magical, technical, and spiritual practices.

These similarities led to Sega suing Radical Entertainment and Electronic Arts for patent infringement.

These similarities are apparently the result of the artistic license of the creators, and have caused much confusion within the birding community amongst those who have attempted to classify Woody's species.

These were shrew-sized Multituberculates, with some similarities to the paulchoffis.

These similarities allow one to construct umbral proofs, which, on the surface cannot be correct, but seem to work anyway.

These tales mainly interpret various natural objects and features as traces of Kalevipoeg's deeds and have similarities with national epics from neighbouring regions, especially the Finnish Kalevala, and also in Scandinavia.

These similarities in morphology and movement in emotional expression are important for the interpretation of emotions.

These are not tied by very strong musical similarities, but a certain whimsicality, touches of psychedelia, rather abstruse lyrics, and a use of improvisation derived from jazz are common elements in their work.

These similarities mean that the instrument is a very important part in mastering technique with both left and right hands ( left hand is used to create tonality on the string, right hand is for plucking or strumming the string ), particularly for the classical ( literati ) tradition.

These advocates point out the similarities between Hellenistic philosophy and post-Apostolic Christianity, by examining the following factors: