But Mercer's explanation was simple: `` I made out the check and carried it around a few days unsigned -- in case I lost it ''.

A simple illustration of such cause and effect is the case of experiencing the effects of what I cause: if I cause suffering, then as a natural consequence I will experience suffering ; if I cause happiness, then as a natural consequence I will experience happiness.

simple case uses one-way ( a single

In France, Santo Daime won a court case allowing them to use the tea in early 2005 ; however, they were not allowed an exception for religious purposes, but rather for the simple reason that they did not perform chemical extractions to end up with pure DMT and harmala and the plants used were not scheduled.

For the simple case where the direction of the light beam along the line SE is perpendicular to the motion of the observer then only light emitted at an angle equal to the arc cosine of the ratio of the observer's speed to the speed of light will reach the telescope.

In the simple case of single-slot packets the master transmits in even slots and receives in odd slots ; the slave, conversely, receives in even slots and transmits in odd slots.

BRP is similar to other generic systems such as GURPS, Hero System or Savage Worlds in that it uses a simple resolution method which can be broadly applied, in this case an attempt to roll under a certain number with percentile dice.

The solution of the problem is a special case of a Steiner system, which systems play an important role in the classification of finite simple groups.

This was a spur to having primarily simple parts to play, and in the case of a resident virtuoso group, a spur to writing spectacular, idiomatic parts for certain instruments, as in the case of the Mannheim orchestra.

Each wall, the floor and the ceiling is a simple polygon, in this case, a rectangle.

The first case was done by the Gorenstein – Walter theorem which showed that the only simple groups are isomorphic to L < sub > 2 </ sub >( q ) for q odd or A < sub > 7 </ sub >, the second and third cases were done by the Alperin – Brauer – Gorenstein theorem which implies that the only simple groups are isomorphic to L < sub > 3 </ sub >( q ) or U < sub > 3 </ sub >( q ) for q odd or M < sub > 11 </ sub >, and the last case was done by Lyons who showed that U < sub > 3 </ sub >( 4 ) is the only simple possibility.

One reason for the popularity of the dissociation constant in biochemistry and pharmacology is that in the frequently encountered case where x = y = 1, K < sub > d </ sub > has a simple physical interpretation: when = K < sub > d </ sub >, = or equivalently /(+)= 1 / 2.

In Scottish Gaelic and Irish, the term dative case is misleadingly used in traditional grammars to refer to the prepositional case-marking of nouns following simple prepositions and the definite article.

In the Renaissance period the Italian doors are quite simple, their architects trusting more to the doorways for effect ; but in France and Germany the contrary is the case, the doors being elaborately carved, especially in the Louis XIV and Louis XV periods, and sometimes with architectural features such as columns and entablatures with pediment and niches, the doorway being in plain masonry.

The Nova was packaged into a single rack mount case and had enough power to do most simple computing tasks.

The Romans Road refers to a set of scriptures from Romans that Christian evangelists use to present a clear and simple case for personal salvation for each person.

All this was simple compared to D. W. Griffith's Intolerance ( 1916 ), in which four parallel stories are intercut throughout the whole length of the film, though in this case the stories are more similar than contrasting in their nature.

It is not even rigorously proved whether DFTs truly require ( i. e., order or greater ) operations, even for the simple case of power of two sizes, although no algorithms with lower complexity are known.

A simple case of diffusion with time t in one dimension ( taken as the x-axis ) from a boundary located at position, where the concentration is maintained at a value is

A simple numbering based on periodic table position was never entirely satisfactory.

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.

Just as the simple curves in the plane can be obtained as sections from a three-dimensional double cone, so too various ( aperiodic or periodic ) arrangements in two and three dimensions can be obtained from postulated hyperlattices with four or more dimensions.

In mechanics and physics, simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement.

Thus, simple harmonic motion is a type of periodic motion.

Although this would generate unacceptable distortion in a music signal, the peaky nature of speech waveforms, combined with the simple frequency structure of speech as a periodic waveform having a single fundamental frequency with occasional added noise bursts, make these very simple instantaneous compression algorithms acceptable for speech.

In general, the use of peak amplitude is simple and unambiguous only for symmetric periodic waves, like a sine wave, a square wave, or a triangular wave.

In the study of Fourier series, complicated but periodic functions are written as the sum of simple waves mathematically represented by sines and cosines.

In mathematics, a Fourier series decomposes periodic functions or periodic signals into the sum of a ( possibly infinite ) set of simple oscillating functions, namely sines and cosines ( or complex exponentials ).

Early ideas of decomposing a periodic function into the sum of simple oscillating functions date back to the 3rd century BC, when ancient astronomers proposed an empiric model of planetary motions, based on deferents and epicycles.

Mechanical movements use an escapement mechanism to control and limit the unwinding and winding parts of a spring, converting what would otherwise be a simple unwinding into a controlled and periodic energy release.

simple: Extended periodic table

A simple example of a periodic function is the function f that gives the " fractional part " of its argument.

In 2011, Coryn Bailer-Jones did an analysis of craters on the surface of the Earth and reached the conclusion that the earlier findings of simple periodic patterns ( implying periodic comet showers dislodged by a hypothetical Nemesis star ) to be statistical artifacts, and found that the crater record shows no evidence for Nemesis.

In CS3, Adobe changed the suite branding once again, to simple colored blocks with two-letter abbreviations, resembling a periodic table of elements.

To go to another planet using the simple low-energy Hohmann transfer orbit, if eccentricity of orbits is not a factor, launch windows are periodic according to the synodic period ; for example, in the case of Mars the period is 2. 135 years, i. e. 780 days.

Log periodic dipole arrays, Yagi-Uda antennas, and reverberation chambers have shown to achieve much higher field strengths for the power input than a simple biconical antenna in an anechoic chamber.

It is perhaps easiest, therefore, to think of it as a subset of the outputs of a simple linear convolution ( i. e. no conceptual " extensions " of the data, periodic or otherwise ).

Diagram showing the periodic orbit of a mass-spring system in simple harmonic motion.

* User-defined functions: simple one-line functions written in BASIC, with a single parameter

The cerebral cortex is a group of tight, dense, " gray matter " composed of the nucleus of the neurons whose axons then form the " white matter ", and is responsible for perception, relay of the sensory input ( sensation ) via the thalamic pathway, and most importantly directly or indirectly in charge of all the neurological functions, from simple reflexes to complex thinking.

If we take the simple molecular orbital description of the ground state and combine that function with the functions describing all possible excited states using unoccupied orbitals arising from the same set of atomic orbitals, we also reach the full configuration interaction wavefunction.

In theoretical computer science, currying provides a way to study functions with multiple arguments in very simple theoretical models such as the lambda calculus in which functions only take a single argument.

This can be done, for example, by visual means ( e. g., a spinning slotted disk, which functions as a simple stroboscope ) without interfering with the measurement itself.

Viewed as conjugate harmonic functions, the Cauchy – Riemann equations are a simple example of a Bäcklund transform.

Linear dynamical systems can be solved in terms of simple functions and the behavior of all orbits classified.

* A functional equation is an equation in which the unknowns are functions rather than simple quantities.

There are, relatively speaking, no such simple solutions for factorials ; any combination of sums, products, powers, exponential functions, or logarithms with a fixed number of terms will not suffice to express n < nowiki >!</ nowiki >.

The notion of idempotence at the end of a chain of operations was applied to so-called " desired-outcome " functions in the widely used configuration management software Cfengine in 1993, changing the industry approach to datacenter automation by bringing " self-healing " by simple repetition with a predictable outcome.

Many of the kidney's functions are accomplished by relatively simple mechanisms of filtration, reabsorption, and secretion, which take place in the nephron.

He showed that with a few simple operators and a notation for functions, one can build a Turing-complete language for algorithms.

These functions were more complex than simple AND and OR gates.

Turtle graphics were added to the Logo language by Seymour Papert in the late 1960s to support Papert's version of the turtle robot, a simple robot controlled from the user's workstation that is designed to carry out the drawing functions assigned to it using a small retractable pen set into or attached to the robot's body.

Calculating derivatives and integrals of polynomial functions is particularly simple.

A simple proof assuming differentiable utility functions and production functions is the following.

Thus, its functions largely overreached simple law enforcement activities and included public health concerns, urban planning ( which was important because of the miasma theory of disease ; thus, cemeteries were moved out of town, etc.

It had a simple syntax, only one datatype, the string, no functions, and no declarations and very little error control.

Some text editors are small and simple, while others offer broad and complex functions.

This work, along with Gödel's work on general recursive functions, established that there are sets of simple instructions, which, when put together, are able to produce any computation.

Also verifies simple transfer functions by using trigonometric identities.