[permalink] [id link]
The simplest infinite family are the pyramids of n sides and of canonical form.
from
Wikipedia
Some Related Sentences
simplest and infinite
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.
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 ).
In the simplest version of the Bohr model, the mass of the atomic nucleus is considered to be infinite compared to the mass of the electron, so that the center of mass of the system lies at the barycenter of the nucleus.
The simplest definition of an infinite matroid is to require finite rank ; that is, the rank of E is finite.
The next simplest infinite generalization is finitary matroids.
The simplest questions implicitly or explicitly request information from a range ( finite or infinite ) of alternatives.
The simplest example is the infinite jungle gym, which has topological dimension 2 and isoperimetric dimension 3.
The simplest example is the theory of an equivalence relation with exactly two equivalence classes both of which are infinite.
A resistor-inductor circuit ( RL circuit ), or RL filter or RL network, is one of the simplest analogue infinite impulse response electronic filters.
The simplest conceptual configuration finds two infinite, parallel plates separated by a distance h. One plate, say the top one, translates with a constant velocity u < sub > 0 </ sub > in its own plane.
* The simplest infinite example of a nuclear space is the space of all rapidly decreasing sequences c =( c < sub > 1 </ sub >, c < sub > 2 </ sub >,...).
simplest and family
For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.
The simplest family of logic gates using bipolar transistors is called resistor-transistor logic ( RTL ).
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.
A casual reader may wish to restrict attention to the first and simplest definition, which corresponds to a single-parameter family of discrete or continuous probability distributions.
For these reasons, the simplest and most effective way to know whether one has bad breath is to ask a trusted adult family member or very close friend (" confidant ").
The simplest form of instrument in this family is the jejy lava ( musical bow ), believed to have been brought to Madagascar by settlers from mainland Africa.
The police were able to pinpoint Provezano's exact location by the simplest of connections ; they tracked a delivery of clean laundry from his family to the farmhouse he was hiding out in.
So much so that it turns out not to be the simplest way to live among humans in the long run, even if it is accepted by small groups ( say a whole family ) in the short run.
simplest and are
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.
The simplest atomic orbitals are those that are calculated for systems with a single electron, such as the hydrogen atom.
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 amides are derivatives of ammonia wherein one hydrogen atom has been replaced by an acyl group.
Slide rules and nomographs are the simplest, while naval gunfire control computers and large hybrid digital / analog computers were among the most complicated.
The simplest alkenes, ethene, propene and butene are gases.
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.
One of the simplest examples of a category is that of groupoid, defined as a category whose arrows or morphisms are all invertible.
Monosaccharides are the simplest carbohydrates in that they cannot be hydrolyzed to smaller carbohydrates.
Two joined monosaccharides are called a disaccharide and these are the simplest polysaccharides.
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.
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.
Among the simplest examples are formic acid H-COOH, which occurs in ants, and acetic acid CH < sub > 3 </ sub >- COOH, which gives vinegar its sour taste.
Many philosophies and worldviews have a set of classical elements believed to reflect the simplest essential parts and principles of which anything consists or upon which the constitution and fundamental powers of anything are based.
The simplest genophores are found in viruses: these DNA or RNA molecules are short linear or circular genophores that often lack structural proteins.
In the simplest application, clutches are employed in devices which have two rotating shafts ( drive shaft or line shaft ).
Rhyming couplets are one of the simplest rhyme schemes in poetry.
The simplest drinking games are endurance games in which players compete to out-drink each other.
* Record ( also called tuple or struct ) Records are among the simplest data structures.
The simplest descriptions of diffraction are those in which the situation can be reduced to a two-dimensional problem.
simplest and pyramids
The simplest form of space frame is a horizontal slab of interlocking square pyramids and tetrahedra built from aluminium or tubular steel struts.
simplest and n
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 >.
The simplest type of carbohydrate is a monosaccharide, which among other properties contains carbon, hydrogen, and oxygen, mostly in a ratio of 1: 2: 1 ( generalized formula C < sub > n </ sub > H < sub > 2n </ sub > O < sub > n </ sub >, where n is at least 3 ).
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.
The simplest Riemannian manifold, consisting of R < sup > n </ sup > with a constant inner product, is essentially identical to Euclidean n-space itself.
The simplest class have the formula ( CH < sub > 2 </ sub >)< sub > n </ sub > CO, where n varies from 3 for cyclopropanone to the teens.
The simplest example of a lattice is the set Z < sup > n </ sup > of all points with integer coefficients ; its determinant is 1.
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.
The simplest primality test is as follows: Given an input number n,
On the other hand the simplest ab-initio calculations typically scale O ( n < sup > 3 </ sup >) or worse ( Restricted Hartree-Fock calculations have been suggested to scale ~ O ( n < sup > 2. 7 </ sup >)).
In probability theory, a branching process is a Markov process that models a population in which each individual in generation n produces some random number of individuals in generation n + 1, according, in the simplest case, to a fixed probability distribution that does not vary from individual to individual.
However, the simplest algorithms for BST item insertion may yield a tree with height n in rather common situations.
The simplest general case is the real Heisenberg group of dimension 2n + 1, for any integer n ≥ 1.
The situation is simplest when n is a prime number p > 2.
The simplest and earliest data structure to achieve O ( log n ) time was discovered by Dobkin and Lipton in 1976.
The simplest meaning is combinatorial, namely as taking for a given integer n some function f ( Λ ) defined on the lattices of fixed rank to
The simplest example is, when considering a function f ( n ), there is a need to describe its properties when n becomes very large.
The simplest case of Chernoff bounds is used to bound the success probability of majority agreement for n independent, equally likely events.
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.
0.777 seconds.