For examples of simple addition algorithms specified in the detailed manner described in Algorithm characterizations, see Algorithm examples.

: For an example of the simple algorithm " Add m + n " described in all three levels see Algorithm examples.

After four years of war-torn London, Christie hoped she can return some day to Syria, which she described as " gentle fertile country and its simple people, who know how to laugh and how to enjoy life ; who are idle and gay, and who have dignity, good manners, and a great sense of humor, and to whom death is not terrible.

* Some curves that seem simple, such as the circle, cannot be described exactly by a Bézier or piecewise Bézier curve ; though a four-piece cubic Bézier curve can approximate a circle ( see Bézier spline ), with a maximum radial error of less than one part in a thousand, when each inner control point ( or offline point ) is the distance horizontally or vertically from an outer control point on a unit circle.

In mathematics, the classification of the finite simple groups is a theorem stating that every finite simple group belongs to one of four categories described below.

Once the Euclidean plane has been described in this language, it is actually a simple matter to extend its concept to arbitrary dimensions.

Many small projects don't satisfy either of these prerequisites, but they too can benefit from EVM, as described for simple implementations, above.

There are many distinct FFT algorithms involving a wide range of mathematics, from simple complex-number arithmetic to group theory and number theory ; this article gives an overview of the available techniques and some of their general properties, while the specific algorithms are described in subsidiary articles linked below.

While the description of strong and weak interactions within the Standard Model is based on gauge symmetries governed by the simple symmetry groups SU ( 3 ) and SU ( 2 ) which allow only discrete charges, the remaining component, the weak hypercharge interaction is described by an abelian symmetry U ( 1 ) which in principle allows for arbitrary charge assignments.

The observed charge quantization, namely the fact that all known elementary particles carry electric charges which appear to be exact multiples of of the " elementary " charge, has led to the idea that hypercharge interactions and possibly the strong and weak interactions might be embedded in one Grand Unified interaction described by a single, larger simple symmetry group containing the Standard Model.

Similarly, if space is not described uniformly or time independently, a coordinate system could describe the simple flight of a free body in space as a complicated zig-zag in its coordinate system.

For example, certain simple electronic circuits may be designed which are described by a jerk equation.

Gates came in many forms, from the simple stone buttress and timber blocks described by Avery in his work "' Stoning and Fire ' at hill fort entrances of southern Britain ” ( Avery, Michael, World Archeology, Vol.

This variety in combination with the complexity of angular measure described above along with the intrinsic uncertainty of geodetically derived units mitigated against the extant definitions in favor of a simple unit of pure length.

" The mathematical behaviour then becomes linear, allowing optical components and systems to be described by simple matrices.

Systems where the restoring force on a body is directly proportional to its displacement, such as the dynamics of the spring-mass system, are described mathematically by the simple harmonic oscillator and the regular periodic motion is known as simple harmonic motion.

She has said that she had a happy childhood, and Charlie Rose of 60 Minutes described Cruz's childhood as a " simple life.

In 1958 Bing proved a weak version of the Poincaré conjecture: if every simple closed curve of a compact 3-manifold is contained in a 3-ball, then the manifold is homeomorphic to the 3-sphere .< ref > Bing also described some of the pitfalls in trying to prove the Poincaré conjecture.

Eugene is described by his biographer as simple and humble, learned and eloquent, handsome and generous, a lover of peace, and wholly occupied with the thought of doing what was pleasing to God.

René Magritte described his paintings as " visible images which conceal nothing ; they evoke mystery and, indeed, when one sees one of my pictures, one asks oneself this simple question, ' What does that mean ?'.

The design is so simple that it is certain that similar versions were produced before 1963, but Ball ’ s rendition as described here became the most iconic version.

For normal guard duties ( 2 ) the uniform of the main ( full-time ) Fortress Guard Corps is similar to that described above, but with plain green epaulettes, and a simple black kepi with a single red feather plume in place of the helmet.

This is because the above model is very simple.

A simple vacuum distillation system as exemplified above can be used, whereby the vacuum is replaced with an inert gas after the distillation is complete.

For the simple electric dipole given above, the electric dipole moment points from the negative charge towards the positive charge, and has a magnitude equal to the strength of each charge times the separation between the charges.

By contrast, for higher frequency radiations at ultraviolet frequencies and above ( i. e., X-rays and gamma rays ) the damage to chemical materials and living cells by EMR is far larger than that done by simple heating, due to the ability of single photons in such high frequency EMR to damage individual molecules chemically.

To illustrate this idea, we can formulate a very simple hidden variable theory for the above thought experiment.

As in the simple cases above, one may enumerate all distinct four-colorings of the ring ; any coloring that can be extended without modification to a coloring of the configuration is called initially good.

Another recent theory ( see EPR paradox above ) resulting from the analysis of an EPR communication set up, has the simple device based on removing the effective retarded time terms in the Lorentz transform to yield a preferred absolute reference frame.

Conversely, when one wants to compute an arbitrary number ( N ) of discrete samples of one cycle of a continuous DTFT, it can be done by computing the relatively simple DFT of s < sub > N </ sub >, as defined above.

For all of the reasons explained in the above paragraphs, deciding whether a blood glucose in the borderline range of 45 – 75 mg / dL ( 2. 5-4. 2 mM ) represents clinically problematic hypoglycemia is not always simple.

The simple formula for the Hall coefficient given above becomes more complex in semiconductors where the carriers are generally both electrons and holes which may be present in different concentrations and have different mobilities.

The towers were simple rectangular boxes with a non-hierarchical wall enclosure, raised on stilts above a glass-enclosed lobby.

This was essentially a simple expansion of the UK scheme ( see above )-cards for this are physically identical to those used by Tesco in the UK and they can be used in both countries.

Another measure such as life expectancy at age 5 ( e < sub > 5 </ sub >) can be used to exclude the effect of infant mortality to provide a simple measure of overall mortality rates other than in early childhood — in the hypothetical population above, life expectancy at age 5 would be another 65 years.

In contrast to the simple supply / demand figure above, it was commonly found that teenagers withdrew from the labor force in response to the minimum wage, which produced the possibility of equal reductions in the supply as well as the demand for labor at a higher minimum wage and hence no impact on the unemployment rate.

A very simple example: a photosensor might passively measure the incident light and discharge its absorbed energy as electricity when the light passes above or below a specified threshold, sending a signal to a larger machine.

A number a is a root of P if and only if the polynomial x − a ( of degree one in x ) divides P. It may happen that x − a divides P more than once: if ( x − a )< sup > 2 </ sup > divides P then a is called a multiple root of P, and otherwise a is called a simple root of P. If P is a nonzero polynomial, there is a highest power m such that ( x − a )< sup > m </ sup > divides P, which is called the multiplicity of the root a in P. When P is the zero polynomial, the corresponding polynomial equation is trivial, and this case is usually excluded when considering roots: with the above definitions every number would be a root of the zero polynomial, with undefined ( or infinite ) multiplicity.

As stated above, this is the derivation of the focus for a simple parabola, one centered at the origin and with symmetry around the y-axis.

* Using the above methods for simple polygons, we discover that particular regions within the polygon may have their area multiplied by a factor which we call the density of the region.

If adding that detail only altered things slightly then it would not have been too bad, but disaster struck when it was found that the simple correction mentioned above led to infinite probability amplitudes.

To the right is an image showing a simple example of a path of rays recursively generated from the camera ( or eye ) to the light source using the above algorithm.

All rabbits except cottontail rabbits live underground in burrows or warrens, while hares live in simple nests above the ground ( as do cottontail rabbits ), and usually do not live in groups.