There are three common definitions for acids: the Arrhenius definition, the Brønsted-Lowry definition, and the Lewis definition.

By the Brønsted-Lowry definition, any compound which can easily be deprotonated can be considered an acid.

The Brønsted-Lowry definition is the most widely used definition ; unless otherwise specified acid-base reactions are assumed to involve the transfer of a proton ( H < sup >+</ sup >) from an acid to a base.

* Brønsted-Lowry definition: Acids are proton ( H < sup >+</ sup >) donors, bases are proton acceptors ; this includes the Arrhenius definition.

* Lewis definition: Acids are electron-pair acceptors, bases are electron-pair donors ; this includes the Brønsted-Lowry definition.

A Brønsted-Lowry acid ( or simply Brønsted acid ) is a species that donates a proton to a Brønsted-Lowry base.

For instance, when a Brønsted-Lowry acid is put in water, a covalent bond between an electronegative atom and a hydrogen atom is broken by heterolytic fission, which gives a proton and a negative ion.

Interestingly, although alcohols and amines can be Brønsted-Lowry acids as mentioned above, they can also function as Lewis bases due to the lone pairs of electrons on their oxygen and nitrogen atoms.

Brønsted-Lowry theory can also be used to describe molecular compounds, whereas Arrhenius acids must be ionic compounds.

Carboxylic acids are Brønsted-Lowry acids because they are proton ( H < sup >+</ sup >) donors.

The Brønsted-Lowry theory defines bases as proton ( hydrogen ion ) acceptors, while the more general Lewis theory defines bases as electron pair donors, allowing other Lewis acids than protons to be included.

According to the Brønsted-Lowry theory of acids and bases: acids are proton donors and bases are proton acceptors.

Brønsted-Lowry acid-base theory has several advantages over Arrhenius theory.

Thus the aqua cations behave as acids in terms of Brønsted-Lowry acid-base theory.

My definition of this much abused adjective is that a reconstructed rebel is one who is glad that the North won the War.

At this point a working definition of idea is in order, although our first definition will have to be qualified somewhat as we proceed.

A tragedy, by his definition, is an imitation of an action that is serious, of a certain magnitude, and complete in itself.

Now good definition is one thing that all of us can acquire with occasional high-set, high-rep, light-weight workouts.

But contest definition -- that dramatic muscular separation of every muscle group that seems as though it must have been carved by a sculptor's chisel -- is something quite different.

It is the one exercise that drastically influences the definition of the thighs at the hipline -- that mark of the champion that sets him apart from all other bodybuilders ; ;

But for purely definition purposes -- used in conjunction with your regular Squatting, Leg Curling, Leg Extensor programs -- a heavy weight is not needed.

If Af is the operator induced on Af by T, then evidently Af, because by definition Af is 0 on the subspace Af.

Though there is obviously great need for continued experimentation with various types of short-term intervention to further efforts in developing an operational definition of prevention at the secondary -- or perhaps, in some instances, primary -- level, the place of short-term intervention has already been documented by a number of investigators in a wide variety of settings.

Finally, when the accelerometer output is zero, the entire system remains stationary, and the platform is, by definition, leveled.

When her brother Winslow became a student at Brown University in 1874, she wrote him about a course in history he was taking under Professor Diman: `` What is Prof. Diman's definition of civilization, and take the world through, is its progress ever onward, or does it retrograde at times??

One definition of paternalism is `` The principle or practice, on the part of a government, of managing the affairs of a country in the manner of a father dealing with his children ''.

If Bultmann's own definition of myth is strictly adhered to ( and it is interesting that this is almost never done by those who make such pronouncements ), the evidence is overwhelming that he does not at all exaggerate the extent to which the mythological concepts of traditional theology have become incredible and irrelevant.

Anarchism is generally defined as the political philosophy which holds the state to be undesirable, unnecessary, and harmful ,< ref name =" definition ">

The majority of the clocks are caesium clocks ; the definition of the SI second is written in terms of caesium.

This number can be seen as equal to the one of the first definition, independently of any of the formulas below to compute it: if in each of the n factors of the power one temporarily labels the term X with an index i ( running from 1 to n ), then each subset of k indices gives after expansion a contribution X < sup > k </ sup >, and the coefficient of that monomial in the result will be the number of such subsets.

Social conservatives ( in the first meaning of the word ) in many countries generally favor the pro-life position in the abortion controversy and oppose human embryonic stem cell research ( particularly if publicly funded ); oppose both eugenics and human enhancement ( transhumanism ) while supporting bioconservatism ; support a traditional definition of marriage as being one man and one woman ; view the nuclear family model as society's foundational unit ; oppose expansion of civil marriage and child adoption rights to couples in same-sex relationships ; promote public morality and traditional family values ; oppose atheism, especially militant atheism, secularism and the separation of church and state ; support the prohibition of drugs, prostitution, and euthanasia ; and support the censorship of pornography and what they consider to be obscenity or indecency.

In the mid-eighties, a number of papers introduced the notion of hygienic macro expansion (< CODE > syntax-rules </ CODE >), a pattern-based system where the syntactic environments of the macro definition and the macro use are distinct, allowing macro definers and users not to worry about inadvertent variable capture ( cf.

Such elements include the essential idea of narrative structure, with identifiable beginnings, middles and endings, or exposition-development-climax-resolution-denouement, normally constructed into coherent plot lines ; a strong focus on temporality, which includes retention of the past, attention to present action, and protention / future anticipation ; a substantial focus on characters and characterization which is " arguably the most important single component of the novel "; a given heterogloss of different voices dialogically at play – " the sound of the human voice, or many voices, speaking in a variety of accents, rhythms and registers "; possesses a narrator or narrator-like voice, which by definition " addresses " and " interacts with " reading audiences ( see Reader Response theory ); communicates with a Wayne Booth-esque rhetorical thrust, a dialectic process of interpretation, which is at times beneath the surface, conditioning a plotted narrative, and other at other times much more visible, " arguing " for and against various positions ; relies substantially on now-standard aesthetic figuration, particularly including the use of metaphor, metonymy, synecdoche and irony ( see Hayden White, Metahistory for expansion of this idea ); is often enmeshed in intertextuality, with copious connections, references, allusions, similarities, parallels, etc.

Replacing the quotient of the square root with its definition in ( 1 ), and equating the coefficients of powers of t in the resulting expansion gives Bonnet ’ s recursion formula

In a gas expansion the pressure decreases, so the sign of is negative by definition.

Even light itself does not have a " velocity " of c in this sense ; the total velocity of any object can be expressed as the sum where is the recession velocity due to the expansion of the universe ( the velocity given by Hubble's law ) and is the " peculiar velocity " measured by local observers ( with and, the dots indicating a first derivative ), so for light is equal to c (- c if the light is emitted towards our position at the origin and + c if emitted away from us ) but the total velocity is generally different than c .( Davis and Lineweaver 2003, p. 19 ) Even in special relativity the coordinate speed of light is only guaranteed to be c in an inertial frame, in a non-inertial frame the coordinate speed may be different than c ; in general relativity no coordinate system on a large region of curved spacetime is " inertial ", but in the local neighborhood of any point in curved spacetime we can define a " local inertial frame " and the local speed of light will be c in this frame, with massive objects such as stars and galaxies always having a local speed smaller than c. The cosmological definitions used to define the velocities of distant objects are coordinate-dependent-there is no general coordinate-independent definition of velocity between distant objects in general relativity ( Baez and Bunn, 2006 ).

Larger number in Buddhism works up to Bukeshuo bukeshuo zhuan ( 不可說不可說轉 ) or 10 < sup > 37218383881977644441306597687849648128 </ sup >, which appeared as Bodhisattva's maths in the Avataṃsaka Sūtra., though chapter 30 ( the Asamkyeyas ) in Thomas Cleary's translation of it we find the definition of the number " untold " as exactly 10 < sup > 10 * 2 < sup > 122 </ sup ></ sup >, expanded in the 2nd verses to 10 < sup > 45 * 2 < sup > 121 </ sup ></ sup > and continuing a similar expansion indeterminately.

Suppose R is a commutative ring and A is an n × n matrix with entries from R. The definition of the adjugate of A is a multi-step process, drawing on the Laplace expansion:

A more current definition of permaculture, which reflects the expansion of focus implicit in Permaculture One, is " Consciously designed landscapes which mimic the patterns and relationships found in nature, while yielding an abundance of food, fibre and energy for provision of local needs ".

Such elements include the essential idea of narrative structure, with identifiable beginnings, middles and ends, or exposition-development-climax-denouement, with important inciting incidents, normally constructed into coherent plot lines ; a strong focus on temporality that includes retention of the past, attention to present action and protention / future anticipation ; a substantial focus on characters and characterization which is " arguably the most important single component of the novel " ( David Lodge The Art of Fiction 67 ); a given hetergloss of different voices dialogically at play, " the sound of the human voice, or many voices, speaking in a variety of accents, rhythms and registers " ( Lodge The Art of Fiction 97 ; see also the theory of Mikhail Bakhtin for expansion of this idea ); possesses a narrator or narrator-like voice, which by definition " addresses " and " interacts with " reading audiences ( see Reader Response theory ); communicates with a Wayne Booth-esque rhetorical thrust, a dialectic process of interpretation, which is at times beneath the surface, conditioning a plotted narrative, and other at other times much more visible, " arguing " for and against various positions ; relies substantially on now-standard aesthetic figuration, particularly including the use of metaphor, metonymy, synecdoche and irony ( see Hayden White, Metahistory for expansion of this idea ); is often enmeshed in intertextuality, with copious connections, references, allusions, similarities, parallels, etc.

And only recently has it been possible to complete the definition of ν ( ℓ ′) by developing and proving the validity of an exact series expansion for this function ( by starting from known special-case solutions of the Gauss hypergeometric differential equation ).

The idea of the definition is that F should be something like the formal power series expansion of the product of a Lie group, where we choose coordinates so that the identity of the Lie group is the origin.

Since a convergent Taylor series fits the definition of asymptotic expansion as well, the phrase " asymptotic series " usually implies a non-convergent series.

The " D " in D-VHS originally stood for Data VHS, but with the expansion of the format from standard definition to high definition capability, JVC renamed it Digital VHS and uses that designation on its website.

The subscript p indicates that the pressure is held constant during the expansion, and the subscript " V " stresses that it is the volumetric ( not linear ) expansion that enters this general definition.

# The fourth is an expansion or rather more precise version of the first definition noting both that low toxicity and the one should be aware of the different demands between various medical applications of the same material.

The expansion of poi culture has led to a significant evolution of the styles practiced, the tools used, and the definition of the word " poi.

The retarded motion expansion expands the Newtonian definition, assuming the fluid is incompressible and the stress tensor is symmetric.

The first order expansion reduces the Newtonian definition above.

By plugging in the definition of and taking respectively the diagonal part, the traceless symmetric part, and the antisymmetric part of this equation, we obtain the desired evolution equations for the expansion scalar, the shear tensor, and the vorticity tensor.