More recent IUPAC recommendations now suggest the newer term " hydronium " be used in favor of the older accepted term " oxonium " to illustrate reaction mechanisms such as those defined in the Brønsted – Lowry and solvent system definitions more clearly, with the Arrhenius definition serving as a simple general outline of acid – base character.

More general type of asymptotes can be defined in this case.

More general results from the study were that precipitation and water use lead to above-ground primary production, solar radiation and temperature lead to belowground primary production ( roots ), and temperature and water lead to cool and warm season growth habit.

* More generally, compact groups such as an orthogonal group are compact, while groups such as a general linear group are not.

More recent stories ( post-Crisis ) often feature the general public assuming that Superman has no secret identity due to the fact that he, unlike most heroes, doesn't wear a mask.

More often, however, debate of digital education reform centers around more general applications of computers to education, such as electronic test-taking and online classes.

More information can be seen at Tests of general relativity.

More than 50 international offices called " legal attachés " exist in U. S. embassies and consulates general worldwide.

More broadly the term is used in a wide number of contexts for an image, picture, or representation ; it is a sign or likeness that stands for an object by signifying or representing it either concretely or by analogy, as in semiotics ; by extension, icon is also used, particularly in modern culture, in the general sense of symbol — i. e. a name, face, picture, edifice or even a person readily recognized as having some well-known significance or embodying certain qualities: one thing, an image or depiction, that represents something else of greater significance through literal or figurative meaning, usually associated with religious, cultural, political, or economic standing.

More general concepts are the limits and colimits of category theory.

More recently the likelihood principle as a general principle of inference has been championed by A. W. F. Edwards.

More recently, driven by advances in experimental technique ( such as neutron diffraction ) and available computational power, the latter of which has enabled extremely accurate atomic-scale simulations of the behaviour of crystals, the science has branched out to consider more general problems in the fields of inorganic chemistry and solid-state physics.

( More correctly, in MWI there is only a single universe but after the " split " into " many worlds " these cannot in general interact.

More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.

More generally, a parabola is a curve in the Cartesian plane defined by an irreducible equation — one that does not factor as a product of two not necessarily distinct linear equations — of the general conic form

More complex experiments, such as those involving stochastic processes defined in continuous-time, may demand the use of more general probability measures.

More recently, the concept has achieved recognition in the general public in the context of the absence of central indexing servers in architectures used for exchanging multimedia files.

More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.

More general representations of ζ ( s ) for all s are given below.

More general osteoporosis is probably contributed to by immobility, systemic cytokine effects, local cytokine release in bone marrow and corticosteroid therapy.

More recently Internet sites have started up that publish both food critic reviews and popular reviews by the general public such as RestaurantGuide. com and TheBigFork. com.

More modern researchers argue that such explanations fall short, and that the general Zulu culture which included other tribes and clans, contained a number of practices that Shaka could have drawn on to fulfill his objectives, whether in raiding, conquest or hegemony.

More nuanced versions of this general view are to be found in the works of other Western historians, such as Robert Service, who notes that " institutionally and ideologically, Lenin laid the foundations for a Stalin ... but the passage from Leninism to the worse terrors of Stalinism was not smooth and inevitable.

More rabbinically traditional Reform and Reconstruction Jews believe that these halakhot in general may be valid, but that it is up to each individual to decide how and when to apply them.

More advanced questions involve the topology of the curve and relations between the curves given by different equations.

More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers.

More generally, for periodic structures having discrete translational symmetry, the solutions take the form of Bloch waves, most famously in crystalline atomic materials but also in photonic crystals and other periodic wave equations.

More specifically, the equations of motion describe the behaviour of a physical system as a set of mathematical functions in terms of dynamic variables: normally spatial coordinates and time are used, but others are also possible, such as momentum components and time.

More precisely, this is an infinite list of simultaneous linear equations, one for each n > d − 1.

More generally, the number of points in the intersection of 3 algebraic surfaces in projective space is, counting multiplicities, the product of the degrees of the equations of the surfaces, and so on.

More precisely, scattering consists of the study of how solutions of partial differential equations, propagating freely " in the distant past ", come together and interact with one another or with a boundary condition, and then propagate away " to the distant future ".

More sophisticated analysis includes the use of differential equations, as detailed below.

More complicated equations can sometimes be expressed as the sum of functions of the three variables.

More precisely, it is a solution to the equations of motion of the classical field theory on a Euclidean spacetime.

More generally, the term " Riccati equation " is used to refer to matrix equations with an analogous quadratic term, which occur in both continuous-time and discrete-time linear-quadratic-Gaussian control.

More advanced examples usually include more sophisticated tools, including Gröbner basis packages for manipulating ideals in polynomial rings, which is essential for many advanced real-world applications involving differential equations, robotics, and so forth, as well as packages for working at a high level with vectors and tensors.

More generally, the Weyl curvature is the only component of curvature for Ricci-flat manifolds and always governs the characteristics of the field equations of an Einstein manifold.

More complex effects such as fuzz are possible by using other equations for the position, scaling, and rotation of each line.

More generally it is used as a generic name for analogues for complete commutative rings ( including p-adic fields in particular ) of the Newton method for solving equations.

More precisely, some of the equations are degenerations of others according to the following diagram, which also

More precisely, scattering consists of the study of how solutions of partial differential equations, propagating freely " in the distant past ", come together and interact with one another or with a boundary condition, and then propagate away " to the distant future ".

More specifically, the above only consisted of external " source " terms introduced into Maxwell's equations.

More technically, such a circuit is represented by a system of differential equations.