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.

In the simplest view of a so-called ' covalent ' bond, one or more electrons ( often a pair of electrons ) are drawn into the space between the two atomic nuclei.

* The real line is path-connected, and is one of the simplest examples of a geodesic metric space

In this article we consider mainly the simplest kind of spectral theorem, that for a self-adjoint operator on a Hilbert space.

Let V be a vector space over a field k. The core of the contraction operation, and the simplest case, is the natural pairing of V with its dual vector space V *.

In " Formulary for a New Urbanism ," Chtcheglov had written " Architecture is the simplest means of articulating time and space, of modulating reality, of engendering dreams ".

Minkowski space is often denoted R < sup > 1, 3 </ sup > to emphasize the signature, although it is also denoted M < sup > 4 </ sup > or simply M. It is perhaps the simplest example of a pseudo-Riemannian manifold.

The simplest example is the case that the family of vector spaces is constant, i. e., there is a fixed vector space V such that V ( x ) = V for all x in X: in this case there is a copy of V for each x in X and these copies fit together to form the vector bundle X × V over X.

The first and simplest homotopy group is the fundamental group, which records information about loops in a space.

Perhaps the simplest was that it be converted into additional space for the Library of Congress, which was still housed in the Capitol.

The simplest Grassmannian that is not a projective space is Gr ( 2, 4 ).

A tetrahedron shape is the simplest space truss, consisting of six members which meet at four joints.

Flat Minkowski space is the simplest example of a vacuum solution.

* the center of mass of the whole system, which generally has the simplest motion for a body moving freely in space ;

The simplest cooling systems, known as swamp coolers in the south-west United States, do not even need power for a compressor, merely a blower fan-evaporated water is simply vented to the living space, where it serves to increase humidity also.

In the point of view of Cartan connections, however, the affine subspaces of Euclidean space are model surfaces — they are the simplest surfaces in Euclidean 3-space, and are homogeneous under the affine group of the plane — and every smooth surface has a unique model surface tangent to it at each point.

The simplest pitch space model is the real line.

The simplest pitch space model is the real line.

In this simplest level of visual information processing, an animal can recognize that something is different in its space — i. e., that there is food or a predator “ over there ”.

In the simplest case of a single particle moving in R < sup > 3 </ sup >, the state space is the position-momentum space R < sup > 6 </ sup >.

Some examples of " toy models " in physics might be: the Ising model as a toy model for ferromagnetism, or, more generally, as one of the simplest examples of lattice models ; orbital mechanics described by assuming that the Earth is attached to the Sun by a large elastic band ; Hawking radiation around a black hole described as conventional radiation from a fictitious membrane at radius r = 2M ( the black hole membrane paradigm ); frame-dragging around a rotating star considered as the effect of space being a conventional " draggable " fluid.

Bernini had been working on the interior of St. Peter's for decades ; now he gave order to the space with his renowned colonnades, using the Tuscan form of Doric, the simplest order in the classical vocabulary, not to compete with the palace-like façade by Carlo Maderno, but he employed it on an unprecedented colossal scale to suit the space and evoke emotions awe.