In its simplest form, ANOVA provides a statistical test of whether or not the means of several groups are all equal, and therefore generalizes t-test to more than two groups.

In its simplest form, the assumption of unit-treatment additivity states that the observed response from experimental unit when receiving treatment can be written as the sum of the unit's response and the treatment-effect, that is

Orbitals of multi-electron atoms are qualitatively similar to those of hydrogen, and in the simplest models, they are taken to have the same form.

The simplest acyclic alkenes, with only one double bond and no other functional groups, form an homologous series of hydrocarbons with the general formula C < sub > n </ sub > H < sub > 2n </ sub >.

Dark energy in its simplest formulation takes the form of the cosmological constant term in Einstein's field equations of general relativity, but its composition and mechanism are unknown and, more generally, the details of its equation of state and relationship with the Standard Model of particle physics continue to be investigated both observationally and theoretically.

* In its simplest form, BCS gives the superconducting transition temperature in terms of the electron-phonon coupling potential and the Debye cutoff energy:

In its simplest form, this is a three column list.

The description of the basic operation of a CPU offered in the previous section describes the simplest form that a CPU can take.

This is the simplest form of a technique known as instruction pipelining, and is utilized in almost all modern general-purpose CPUs.

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

The bowl-shaped outflow is the simplest form of a water clock and is known to have existed in Babylon and in Egypt around the 16th century BC.

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

Based on this argument, the privileged frame, wherein the laws of physics take on the simplest form, is a stationary frame in which no fictitious forces need to be invoked.

The simplest form of index is a sorted list of values that can be searched using a binary search with an adjacent reference to the location of the entry, analogous to the index in the back of a book.

The simplest form of index is a sorted list of values that can be searched using a binary search with an adjacent reference to the location of the entry, analogous to the index in the back of a book.

The simplest infinite family are the pyramids of n sides and of canonical form.

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.

In its simplest form, Euclid's algorithm starts with a pair of positive integers and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers.

The simplest visual form of fingerspelling is tracing the shape of letters in the air, or tactually, tracing letters on the hand.

The simplest form of effective fan to cool a shelter is a wide, heavy frame with flaps that swing in the shelter's doorway and can be swung from hinges on the ceiling.

In its simplest form, there is a tray above a reservoir of nutrient solution.

This may be done in its simplest form, by manually applying a nutrient-and-water solution one or more times per day in a container of inert growing media, such as rockwool, perlite, vermiculite, coco fibre, or sand.

The advantage of the California form interrogatories is that they do not count against the limit of 35 ; the disadvantage is that they are written in a very generic fashion, so about half of the questions are useful only in the simplest cases.

Indeed, an intuitive summary of inertial frames can be given as: In an inertial reference frame, the laws of mechanics take their simplest form.

The simplest checksum algorithm is the so-called longitudinal parity check, which breaks the data into " words " with a fixed number n of bits, and then computes the exclusive or of all those words.

Linear search is the simplest search algorithm ; it is a special case of brute-force search.

The simplest algorithm represents each chromosome as a bit string.

The painter's algorithm, also known as a priority fill, is one of the simplest solutions to the visibility problem in 3D computer graphics.

On finer-grained sense distinctions, top accuracies from 59. 1 % to 69. 0 % have been reported in recent evaluation exercises ( SemEval-2007, Senseval-2 ), where the baseline accuracy of the simplest possible algorithm of always choosing the most frequent sense was 51. 4 % and 57 %, respectively.

The simplest root-finding algorithm is the bisection method.

The simplest best-effort scheduling algorithms are round-robin, fair queuing ( a max-min fair scheduling algorithm ), proportionally fair scheduling and maximum throughput.

Also known as First ­ Come, First ­ Served ( FCFS ), is the simplest scheduling algorithm, FIFO simply queues processes in the order that they arrive in the ready queue.

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.

The simplest greedy algorithm places consecutive labels on the map in positions that result in minimal overlap of labels.

A radix-2 decimation-in-time ( DIT ) FFT is the simplest and most common form of the Cooley – Tukey algorithm, although highly optimized Cooley – Tukey implementations typically use other forms of the algorithm as described below.

The simplest pivot selection algorithm is to take the first or the last element of the list as the pivot, causing poor behavior for the case of sorted or nearly sorted input.

It is a machine independent method of assigning a probability value to each hypothesis ( algorithm / program ) that explains a given observation, with the simplest hypothesis ( the shortest program ) having the highest probability and the increasingly complex hypotheses receiving increasingly small probabilities.

In algorithmic information theory, algorithmic ( Solomonoff ) probability is a method of assigning a probability to each hypothesis ( algorithm / program ) that explains a given observation, with the simplest hypothesis ( the shortest program ) having the highest probability and the increasingly complex hypotheses ( longer programs ) receiving increasingly small probabilities.

The simplest pancake sorting algorithm requires at most 2n − 3 flips.

The simplest sort of random encounter algorithm would be as follows:

One of the simplest examples is the selection algorithm.

It is a special-purpose algorithm, meaning that it is only suitable for integers with specific types of factors ; it is the simplest example of an algebraic-group factorisation algorithm.

The simplest algorithms are for addition and subtraction, where one simply adds or subtracts the digits in sequence, carrying as necessary, which yields an O ( N ) algorithm ( see big O notation ).

The simplest form of the algorithm is when the factor graph is a tree: in this case the algorithm computes exact marginals, and terminates after 2 steps.