In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not primitive recursive.

The simplest is Arrhenius theory, which states than an acid is a substance that produces hydronium ions when it is dissolved in water, and a base is one that produces hydroxide ions when dissolved in water.

When applied to the simplest two-electron molecule, H < sub > 2 </ sub >, valence bond theory, even at the simplest Heitler-London approach, gives a much closer approximation to the bond energy, and it provides a much more accurate representation of the behavior of the electrons as chemical bonds are formed and broken.

The simplest type of ab initio electronic structure calculation is the Hartree – Fock ( HF ) scheme, an extension of molecular orbital theory, in which the correlated electron – electron repulsion is not specifically taken into account ; only its average effect is included in the calculation.

One of the simplest models of reaction rate is the collision theory.

According to this theory, living beings were classified on an ideal pyramid that represented the simplest animals on the lower levels, with complexity increasing progressively toward the top, occupied by human beings.

Although general relativity is not the only relativistic theory of gravity, it is the simplest theory that is consistent with experimental data.

The simplest way to define infinite dimensional Lie groups is to model them on Banach spaces, and in this case much of the basic theory is similar to that of finite dimensional Lie groups.

" A common feature of all four multiverse levels is that the simplest and arguably most elegant theory involves parallel universes by default.

The simplest theory of operation for a pulley system assumes that the pulleys and lines are weightless, and that there is no energy loss due to friction.

Thus, although the current standard model of particle physics " in principle " predicts all known non-gravitational phenomena, in practice only a few quantitative results have been derived from the full theory ( e. g., the masses of some of the simplest hadrons ), and these results ( especially the particle masses which are most relevant for low-energy physics ) are less accurate than existing experimental measurements.

The simplest available theory need not be most accurate.

The philosopher of science Elliott Sober once argued along the same lines as Popper, tying simplicity with " informativeness ": The simplest theory is the more informative one, in the sense that less information is required in order to answer one's questions.

Since it is absurd to have no logical method by which to settle on one hypothesis amongst an infinite number of equally data-compliant hypotheses, we should choose the simplest theory: " either science is irrational the way it judges theories and predictions probable or the principle of simplicity is a fundamental synthetic a priori truth " ( Swinburne 1997 ).

Occam's razor is not an embargo against the positing of any kind of entity, or a recommendation of the simplest theory come what may.

As interpreted in contemporary scientific practice, " entities should not be multiplied beyond necessity " advises opting for the simplest theory among a set of competing theories that have a comparable explanatory power, discarding assumptions that do not improve the explanation.

The principle of falsifiability requires that any exception that can be reliably reproduced should invalidate the simplest theory, and that the next-simplest account which can actually incorporate the exception as part of the theory should then be preferred to the first.

In the Schrödinger theory, the simplest such object is the overall Hamiltonian, which represents the total energy of the system.

MHD theory is the simplest representation of a plasma, so MHD stability is a necessity for stable devices to be used for nuclear fusion, specifically magnetic fusion energy.

Assisted by the assumption that combination always takes place in the simplest possible way, he thus arrived at the idea that chemical combination takes place between particles of different weights, and it was this which differentiated his theory from the historic speculations of the Greeks, such as Democritus and Lucretius.

Real intervals play an important role in the theory of integration, because they are the simplest sets whose " size " or " measure " or " length " is easy to define.

This channel is used frequently in information theory because it is one of the simplest channels to analyze.

Reduced to its simplest terms, it is an assumption of a collective duty to compensate for the inability of individuals to cope with the rigors of the era.

Stated in its simplest terms, the main job of the Planning Division is to plan for the future of the State of Rhode Island.

Now time is also the concern of the fictional narrative, which is, at its simplest, the story of an action with, usually, a beginning, a middle, and an end -- elements which demand time as the first condition for their existence.

Local police have hesitated to prosecute them because of the heavy court costs involved even for the simplest offense.

" The simplest techniques for

The simplest atomic orbitals are those that are calculated for systems with a single electron, such as the hydrogen atom.

In the simplest example, any good sold in one market should sell for the same price in another.

The simplest types of ball point pens have a cap to cover the tip when the pen is not in use, while others have a mechanism for retracting the tip.

Most bogies have two axles, as this is the simplest design, but some cars designed for extremely heavy loads have been built with up to five axles per bogie.

The simplest method for scan converting ( rasterizing ) a Bézier curve is to evaluate it at many closely spaced points and scan convert the approximating sequence of line segments.

Following this definition, some chemists considered formaldehyde ( CH < sub > 2 </ sub > O ) to be the simplest carbohydrate, while others claimed that title for glycolaldehyde.

At the simplest level, the process of composting simply requires making a heap of wetted organic matter ( leaves, " green " food waste ) and waiting for the materials to break down into humus after a period of weeks or months.

The simplest form of the chain rule is for real-valued functions of one real variable.

The code is optimized for speed and low wear: chords were chosen so that the most common characters used the simplest chords.

More complex formulas and procedures apply for such cases, but in its simplest form the critical buckling load formula is given as Equation ( 3 ),

This has led to a plethora of more or less standardized file structures for all imaginable purposes, from the simplest to the most complex.

In the simplest mechanical extensions, there are no mechanical aids attached to the fingerboard extension except a locking nut for the " E " note.

Driven by gunpowder, this, the simplest form of internal combustion engine was unable to deliver sustained power, but was useful for propelling weaponry at high speeds towards enemies in battle and for fireworks.

One of the simplest equations of state for this purpose is the ideal gas law, which is roughly accurate for weakly polar gases at low pressures and moderate temperatures.

The simplest additive mixers are simple resistor networks, and thus purely passive, while more complex mixers employ active components such as buffer amplifiers for impedance matching and better isolation.

The simplest stompbox pedals have a single footswitch ; one to three potentiometers for controlling the effect, gain or tone ; and a single LED display to indicate whether the effect is on or not.

This makes the plurality voting system among the simplest of all voting systems for voters and vote counting officials ( it is however very contentious to draw district boundary lines in this system ).

These at their simplest consist of passive components such as potentiometers and capacitors, but may also include specialized integrated circuits or other active components requiring batteries for power, for preamplification and signal processing, or even for assistance in tuning.