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 form of 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 sort of proper whipping is the common whipping.

Questions of this simplest sort usually begin with Who, what, which, where, when, does / do, is / are.

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

Some sort of formal Project planning and Project management methodology is required for all but the simplest package design and development programs.

: The simplest sort code and thereby impossible to break.

The simplest algorithm to find a topological sort is frequently used and is known as list scheduling.

The simplest form of rasterization is simple line-drawing with no anti-aliasing of any sort.

The psychomotor domain deals with the development of motor skills, movement and coordination and has 7 categories, that also goes from simplest to complex.

The simplest way to think of flux is " how much air goes through the net ", where the air is a ( velocity ) field and the net is the boundray of an imaginary surface.

In its simplest form a stainless steel hook that goes through an eye.

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 argument would be that the fields goes to zero at infinity for a localized source, but this argument fails in the case of lossless media: in the absence of absorption, radiated fields decay inversely with distance, but the surface area of the integral increases with the square of distance, so the two rates balance one another in the integral.

The resistor is perhaps the simplest of passive circuit elements: as its name suggests, it resists the current through it, dissipating its energy as heat.

The simplest type of neural circuit is a reflex arc, which begins with a sensory input and ends with a motor output, passing through a sequence of neurons in between.

When the electric current flowing through such a coil changes it produces a magnetic flux, which is, in simplest terms, a change in the magnetic field over a given area.

The simplest way to communicate is through ‘ no technology ’ or " unaided " methods in which the individuals with RTT indicates a response ( i. e., points, blinks their eyes, raises their eyebrows ) to indicate a response.

The simplest form of a metal detector consists of an oscillator producing an alternating current that passes through a coil producing an alternating magnetic field.

The simplest method of this type is to let the interpolating function be a constant function ( a polynomial of degree zero ) which passes through the point (( a + b )/ 2, f (( a + b )/ 2 )).

The simplest form of intravenous access is by passing a hollow needle through the skin directly into the vein.

In its simplest terms: governments can raise money either through taxes or by issuing bonds.

In its simplest electronic form, the instrument consists of an air bottle connected to the external atmosphere through a sensitive air flow meter.

The electric current that arises in the simplest textbook situations would be classified as " free current "— for example, the current that passes through a wire or battery.

The simplest deleterious effects are typically particle wear caused by moderate knocking, which may further ensue through the engine's oil system and cause wear on other parts before being trapped by the oil filter.

At the simplest level, treatment of sewage and most wastewaters is carried out through separation of solids from liquids, usually by sedimentation.

The simplest type consists essentially of a flexible bag comprising a pair of rigid boards with handles joined by flexible leather sides enclosing an approximately airtight cavity which can be expanded and contracted by operating the handles, and fitted with a valve allowing air to fill the cavity when expanded, and with a tube through which the air is forced out in a stream when the cavity is compressed.

The simplest illustration of duality is in the projective plane, where the statements " two distinct points determine a unique line " ( i. e. the line through them ) and " two distinct lines determine a unique point " ( i. e. their point of intersection ) show the same structure as propositions.

There are several common solutions — the simplest ( and probably least effective ) is the spark gap, which releases the stored energy through the coil when the voltage reaches a certain threshold.

The simplest airbrushes work with a single action mechanism where the depression of the trigger actuates air flow through the airbrush.

In the simplest idealized relativistic model, the spontaneously broken symmetry is summarized through an illustrative scalar field theory.

Jean-Baptiste Lamarck envisioned that life is generated in the form of the simplest creatures constantly, and then strive towards complexity and perfection ( i. e. humans ) through a series of lower forms.

In the simplest form of camera lucida, the artist looks down at the drawing surface through a half-silvered mirror tilted at 45 degrees.

Joseph Smith ’ s interpretations of them as part of a unique revelation through Abraham, therefore, very clearly demonstrates that he was totally unacquainted with the significance of these documents and absolutely ignorant of the simplest facts of Egyptian writing and civilization.

Usually Piers was conned into Alan's schemes through trickery or bullying although he would inevitably cock up the simplest of instructions.

" She achieved profound ends through the simplest of means, showing the instincts and communicative power of a born performer during a masterly recital on Thursday at Alice Tully Hall " ( New York Times, 2011 )

In the simplest case, one leg of the inscribed angle is a diameter of the circle, i. e., passes through the center of the circle.