However, not all substances or chemical compounds consist of discrete molecules, and indeed most of the solid substances that makes up the solid crust, mantle, and core of the Earth are chemical compounds without molecules.

However, there is no exact, universally agreed, definition of the term " discrete mathematics.

" However, the DSM is based on an underlying structure that assumes discrete medical disorders that can be separated from each other by symptom patterns.

However, on the screen, the light is always found to be absorbed as though it were composed of discrete particles or photons.

However, the later discovery of the photoelectric effect demonstrated that under different circumstances, light can behave as if it is composed of discrete particles.

However the duration of the filter's impulse response, and the number of terms which must be summed for each output value ( according to the above discrete time convolution ) is given by where T is the sampling period of the discrete time system ( N-1 is also termed the order of an FIR filter ).

However, the continuum assumption considers fluids to be continuous, rather than discrete.

However, complex-data FFTs are so closely related to algorithms for related problems such as real-data FFTs, discrete cosine transforms, discrete Hartley transforms, and so on, that any improvement in one of these would immediately lead to improvements in the others ( Duhamel & Vetterli, 1990 ).

However, quantum mechanical effects force electrons to take on discrete positions in orbitals.

However, unlike classical digital states ( which are discrete ), a two-state quantum system can actually be in a superposition of the two states at any given time.

However, the island comprises a number of discrete eruptive centers that range in age from mid-Pliocene to Pleistocene, these prevent any single model of the island's geological evolution.

However, quantum mechanical effects force electrons to take on discrete positions in orbitals.

However, the term " collective noun " is often used to mean " mass noun " ( even in some dictionaries ), because users confound two different kinds of verb number invariability: ( a ) that seen with mass nouns such as " water " or " furniture ", with which only singular verb forms are used because the constituent matter is grammatically nondiscrete ( although it may or may not be etically nondiscrete ); and ( b ) that seen with collective nouns, which is the result of the metonymical shift between the group and its ( both grammatically and etically ) discrete constituents.

However, as shown in band theory, energy bands are actually made up of many discrete energy levels which are too close together to resolve.

However, because DCTs operate on finite, discrete sequences, two issues arise that do not apply for the continuous cosine transform.

However, the tone of a work, especially in a discrete section, may help create the overall tone, effect, or meaning of the work.

However, the NGV was founded some 40 years before the founding of the Commonwealth of Australia, when Victoria was a self-governing British colony ; the name alludes to that period, when Victoria was a discrete political entity.

However modern bipolar transistors with high voltage ratings are now available cheaply, such as MPSA92 or MPSA42-an unusual example where an original IC design has been replaced by discrete transistors.

However, the problem is that this is not a discrete, quantized system but a continuum.

However, ARCNET passive hubs were very inexpensive, being composed of a simple, small, unpowered box with four ports, wired together with nothing more than four discrete resistors, so the disadvantage was not significant.

However, the important distinction in this theory is not that the FCI classification of " scenthound " is accurate, but rather, that placing the Dalmatian and the Rhodesian Ridgeback ( the only breeds currently in FCI group 6. 3 ), breeds that historically have served as versatile hunting / wagon dogs, should indeed be classified as two examples of the same type of dog, but further asserts that such dogs ’ classification makes more sense as a discrete group.

However, because DSTs operate on finite, discrete sequences, two issues arise that do not apply for the continuous sine transform.

However, these scripts either count di-and tri-graphs as separate letters, as Spanish did with ch and ll until recently, or uses diacritics like Slovak č.

However, the Unborn Victims of Violence Act of 2004 treats the fetus as a separate person for the purposes of assault and other violent crimes, under certain limited circumstances.

However, Pyxis is not considered part of Argo Navis, and its Bayer designations are separate from those of Carina, Puppis and Vela.

However, the classification as a metro or rapid rail can be difficult as both may typically cover a metropolitan area exclusively, run on separate tracks in the centre, and often feature purpose-built rolling stock.

However, the combined effects of ethnic and religious fractionalization, i. e. the more chance that any two randomly chosen people will be from separate ethnic or religious groups the less chance of a civil war, were also significant and positive, as long as the country avoided ethnic dominance.

However, some states like California have civil procedure systems which deviate significantly from the federal rules ; the California Codes provide for four separate types of class actions.

However, only works of Pissarro and Cézanne were included, and the separate exhibit brought a hostile response from both the officials of the Salon and the public.

However, in nasal clicks the nasalization involves a separate nasal airstream, generally pulmonic egressive but occasionally pulmonic ingressive.

However, this unusual fission-fusion social structure, " in which portions of the parent group may on a regular basis separate from and then rejoin the rest ," is highly variable in terms of which particular individual chimpanzees congregate at a given time.

However, in adherence to the ideas of Arab Nationalism, the Arab countries prefer to give preference to the Literary Arabic which is common to all of them, conduct much of their political, cultural and religious life in it ( adherence to Islam ), and refrain from declaring each country's specific variety to be a separate language, because Literary Arabic is the liturgical language of Islam and the language of the Islamic sacred book, the Qur ' an.

However, when names are concerned ( e. g. in phone books or in author catalogues in libraries ), umlauts are often treated as combinations of the vowel with a suffixed e ; Austrian phone books now treat characters with umlauts as separate letters ( immediately following the underlying vowel ).

However, there are no separate names for the different atolls of the Chagos in the Maldivian oral tradition.

However, this avoids the need for a separate DECT radio network.

However, the design of complex software systems is often the domain of software engineering, which is usually considered a separate discipline.

However, it can be used in conjunction with separate liquid-phase correlations for this purpose.

However, it is increasingly common to separate user interface and sound-generating functions into a music controller ( input device ) and a music synthesizer, respectively, with the two devices communicating through a musical performance description language such as MIDI or Open Sound Control.

However, there is an ongoing debate over whether H. floresiensis is indeed a separate species.

However, before this, some MPPC members got around this restriction by occasionally making longer stories in separate parts, and releasing them in successive weeks, starting with Vitagraph's The Life of Moses in five parts ( and five reels ) at the end 1909.

However he concedes that " the idea of felony is indeed so generally connected with that of capital punishment, that we find it hard to separate them ; and to this usage the interpretations of the law do now conform.

However, in reality, according to the United States Flag Code, all state flags are displayed at the same height as the American flag when on separate poles, with the American flag in a position of honor ( to its own right ).

However, at the postalveolar place of articulation, the tongue may take several shapes: domed, laminal, or apical, and each of these is given a separate symbol and a separate name.

However, recently, board certification has been delegated into separate branches, whereby successful completion of a residency in general surgery is not necessarily required, but may well be desired.

However, despite these laws, East Timor has many problems with illegally armed militias, including widespread violence in 2006 which resulted in over 100, 000 people being forced from their homes, as well as two separate assassination attempts on the Prime Minister and President in early 2008.