The next simplest infinite generalization is finitary matroids.

Perhaps the simplest problem for alternating machines to solve is the quantified boolean formula problem, which is a generalization of the boolean satisfiability problem in which each variable can be bound by either an existential or a universal quantifier.

The simplest generalization of Euler's three-body problem is to augment the inverse-square force laws with a force that increases linearly with distance.

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

The simplest kind found in the electron transfer chain consists of two iron atoms joined by two atoms of inorganic sulfur ; these are called clusters.

In its simplest form, the length of a chain is the number of links between a trophic consumer and the base of the web.

The simplest possible polymer model is presented by the ideal chain, corresponding to a simple random walk.

The freely-jointed chain is the simplest model of a polymer.

* Ideal chain, in science, the simplest model describing a polymer

Reflex circuits vary in complexity — the simplest spinal reflexes are mediated by a three-element chain, beginning with sensory neurons which activate interneurons in the spinal cord, which then activate motor neurons.

In the simplest of the looped stitches, the chain stitch, the needle comes up from the back of the fabric and then the needle goes back into the same hole it came out of, pulling the loop of thread almost completely through to the back ; but before the loop disappears, the needle come back up ( a certain distance from the beginning stitch-the distance deciding the length of the stitch ), passes through the loop and prevents it from being pulled completely to the back of the fabric.

The simplest forwarding model — unicasting — involves a packet being relayed from link to link along a chain leading from the packet's source to its destination.

The simplest design consists of a short post or chain connecting two disc-shaped parts.

A four-bar linkage, also called a four-bar, is the simplest movable closed chain linkage.

An ideal chain ( or freely-jointed chain ) is the simplest model to describe a polymer.

The simplest method is to apply just one earning rule, such as the 0 / 100 rule, to all activities.

For any inertial frame, the Coriolis force and the centrifugal force disappear, so application of the principle of special relativity would identify these frames where the forces disappear as sharing the same and the simplest physical laws, and hence rule that the rotating frame is not an inertial frame.

In its simplest form, l ' Hôpital's rule states that for functions and which are differentiable on

There are several ways to define the result of a rule, but one of the most common and simplest is the " max-min " inference method, in which the output membership function is given the truth value generated by the premise.

The simplest iptables firewall consists of rules for each desired service, followed by a rule which indicates that any packets which reach this rule are dropped.

The simplest handicap is to eliminate the pie rule.

The simplest and oldest rule for determining a non-informative prior is the principle of indifference, which assigns equal probabilities to all possibilities.

The simplest description of the correspondence is using the Schensted algorithm, a procedure that constructs one tableau by successively inserting the values of the permutation according to a specific rule, while the other tableau records the evolution of the shape during construction.

It is not only the most important rule, but the simplest.

Using Born's rule, one can derive the simplest form of quantum tomography.

In its simplest form, it is the same rule as subclass inheritance preempting class inheritance:

Now is the cardinality of the set of countable ordinals, and this is merely a special and the simplest way of generating a higher cardinal.

The Cayley – Hamilton theorem always provides a relationship between the powers of A ( though not always the simplest one ), which allows one to simplify expressions involving such powers, and evaluate them without having to compute the power A < sup > n </ sup > or any higher powers of A.

In addition, the Regius Professor of Natural History, Robert Jameson, was the probable author of an anonymous paper in 1826 praising " Mr. Lamarck " for explaining how the higher animals had " evolved " from the " simplest worms " – this was the first use of the word " evolved " in a modern sense.

: As man has developed, so also has his language (...): even the simplest language is the product of a gradual growth: all higher forms of language have come out of simpler ones ....

Both the Quideau and the WBSSH definitions disambiguate higher molecular weight and more structurally and functionally complex polyphenols from the simplest plant-derived natural phenols — monoaromatics such gallic and caffeic acid.

He also studied geology under professor Robert Jameson whose journal published an anonymous paper in 1826 praising " Mr. Lamarck " for explaining how the higher animals had " evolved " from the " simplest worms " – this was the first use of the word " evolved " in a modern sense.

He assumed that as the earth cooled, changing conditions drove life towards higher, hotter blooded forms, as shown by a progressive sequence of fossils, and that study of eggs of the simplest creatures would help reveal monads, elementary living particles.

To render the principle applicable in the cases where the associated elements are neither sensations nor simple ideas of sensations, Hartley's first care was to determine the conditions under which states other than these simplest ones have their rise in the mind, becoming the matter of ever higher and higher combinations.

The simplest form of adaptive optics is tip-tilt correction, which corresponds to correction of the tilts of the wavefront in two dimensions ( equivalent to correction of the position offsets for the image ).

In string theory, the string width is set ( in the simplest cases ) by the fundamental string scale, warp factors ( associated to the spacetime curvature of an internal six-dimensional spacetime manifold ) and / or the size of internal compact dimensions.

The simplest case is the sector for a Dp-brane, that is to say the strings which begin and end on any particular D-brane of p dimensions.

The simplest algorithm to find an EMST in two dimensions, given n points, is to actually construct the complete graph on n vertices, which has n ( n-1 )/ 2 edges, compute each edge weight by finding the distance between each pair of points, and then run a standard minimum spanning tree algorithm ( such as the version of Prim's algorithm or Kruskal's algorithm ) on it.

Hence it is the simplest nontrivial constructive QFT in 4 dimensions.

In four dimensions, the simplest example — namely, the minimal N = 1 supersymmetry — may be written as a vector in a superspace with four extra fermionic coordinates, transforming as a two-component spinor and its conjugate.

The simplest kind of separate system uses a single, self-contained unit.

The simplest, and original, implementation of the protocol uses the multiplicative group of integers modulo p, where p is prime and g is primitive root mod p. Here is an example of the protocol, with non-secret values in < span style =" color: blue "> blue </ span >, and secret values in < span style =" color: red "> boldface red </ span >:

Newman's proof is arguably the simplest known proof of the theorem, although it is non-elementary in the sense that it uses Cauchy's integral theorem from complex analysis.

The simplest error-detection system, the parity bit, is in fact a trivial 1-bit CRC: it uses the generator polynomial x + 1.

The simplest kind of marquetry uses only two sheets of veneer, which are temporarily glued together and cut with a fine saw, producing two contrasting panels of identical design, ( in French called partie and contre-partie, " part " and " counterpart ").

The simplest form of scene graph uses an array or linked list data structure, and displaying its shapes is simply a matter of linearly iterating the nodes one by one.

The simplest grid uses constant angular grid spacing ( i. e., a latitude / longitude grid ), however, more sophisticated non-rectantangular grids ( e. g., icosahedral ) and grids of variable resolution are more often used.

Possibly the simplest ballot uses the equal and even cumulative voting method, where a voter simply marks preferred candidates, as in bloc voting, and votes are then automatically divided evenly among those preferred candidates.

The simplest version of the algorithm uses the union-find data structure, which unlike other lowest common ancestor data structures can take more than constant time per operation when the number of pairs of nodes is similar in magnitude to the number of nodes.

For example, classic Swabian ( southwest German ) cooking uses a darker roux for its " brown broth " ( braune Brühe ), which, in its simplest form, consists of nothing more than lard, flour, and water, with a bay leaf and salt for seasoning.

Binary CAM is the simplest type of CAM which uses data search words consisting entirely of 1s and 0s.

This article begins with the simplest operations, then uses them to construct more sophisticated ones.

The simplest type of cone CVT, the single-cone version, uses a wheel that moves along the slope of the cone, creating the variation between the narrow and wide diameters of the cone.

The simplest " Wilson action " uses only the 1 × 1 Wilson loop, and differs from the continuum action by " lattice artifacts " proportional to the small lattice spacing.

The simplest perspective projection uses the origin as the center of projection, and z = 1 as the image plane.

The simplest expression uses polar coordinates with O at the origin.

Kingslake uses the simplest formulae for DOF near and far distances, which has the effect of making the two different definitions of hyperfocal distance give identical values.

The simplest resistance thermometer configuration uses two wires.

Scoring varies ; the simplest method uses hit / miss scoring, with a time penalty ( often 10 seconds ) for each miss.

In its simplest form, the inchworm motor uses three piezo-actuators ( 2 and 3, see Figure 1.

The simplest to understand uses the fact that the 24-bit IV only allows a little under 17 million possibilities.

The simplest Fair Isle pattern uses circular or double pointed needles, cast on any number of stitches.

The simplest method uses resistance heaters to vary the inlet temperature, but this approach is slow ( cannot change on a cycle-to-cycle basis ).

The following discussion uses the simplest case, where the system has two lumped springs and two lumped masses, and only two mode shapes are assumed.