These estimates provide an insight into reasonable directions of search for efficient algorithms.

These algorithms almost all rely on psychoacoustics to eliminate less audible or meaningful sounds, thereby reducing the space required to store or transmit them.

These algorithms need only a few multiplications and additions to calculate each vector.

These can be implemented as analog circuits ( for instance, using a Sallen Key filter topology, a type of active filter ), or as algorithms in digital signal processing systems.

These brute-force algorithms are computationally manageable for n = 8, but would be intractable for problems of n ≥ 20, as 20!

These algorithms model diffuse inter-reflection which is a very important part of global illumination ; however most of these ( excluding radiosity ) also model specular reflection, which makes them more accurate algorithms to solve the lighting equation and provide a more realistically illuminated scene.

These algorithms are numerical approximations to the rendering equation.

These macros are similar to the algorithms in pseudocode typically used in teaching computer science.

These same interpolation formulas nevertheless continue to be used as part of the software algorithms for solving differential equations.

These algorithms take as input a large set of " features " that are generated from the input data.

These algorithms are not practicable for hand written computation, but are available in any Computer algebra system ( see Berlekamp's algorithm for the case in which the coefficients belong to a finite field or the Berlekamp – Zassenhaus algorithm when working over the rational numbers ).

These algorithms compute an estimate of the likely distribution of annihilation events that led to the measured data, based on statistical principles.

These leaves need not be explicit in computer memory — a null child pointer can encode the fact that this child is a leaf — but it simplifies some algorithms for operating on red – black trees if the leaves really are explicit nodes.

These algorithms first convert the SMILES to an internal representation of the molecular structure and do not simply manipulate strings as is sometimes thought.

These techniques are superficially comparable to weather models that show hurricane storm tracks ; each of several algorithms independently models a complex system ( the weather, in this case ) somewhat differently from each of its sister weather algorithms, and the average of all the algorithms ' output is taken to be the most likely " storm track ".

These algorithms do not work if out-of-order execution is utilized on the platform that executes them.

These asymmetric key algorithms allow one key to be made public while retaining the private key in only one location.

These algorithms use data compression to achieve higher throughput.

These algorithms arrange all particles in a tree, a quadtree in the two-dimensional case and an octree in the three-dimensional case.

These two algorithms form the basis for many variations including LZW, LZSS, LZMA and others.

These applications typically employ complex algorithms and data structures and require high performance.

These algorithms usually come in the form of a flowchart, incorporating ' yes / no ' type decisions, making the algorithm easier to memorize.

These forums can be used to try to find relatives, request record lookups, obtain research advice, and much more.

These models try to represent the physical processes observed in the real world.

These personal tragedies inspired Pasteur to try to find cures for diseases such as typhoid.

These include the military tribunals established by the United States of America and tribunals used in Australia to try health professionals.

These UCLA ’ s would “ sabotage ports, refineries, boats and bridges, and try to make it look like the contras had done it .” In January 1984, these UCLA ’ s performed their most famous, or infamous, operation, the last straw that led to the ratifying of the Boland Amendment, the mining of several Nicaraguan harbors

These were the only two candidates to put together organizations to try to secure delegate votes, though both efforts were cash-starved.

These are often framed in the series as a debate between the protagonist and antagonist over the course of a duel, as they try to convince each other of the righteousness of their causes.

These products complement one another and placing them near is one way marketers try to increase purchases.

These try to understand not just one-off encounters but protracted stand-offs, and mainly differ in the criteria by which an individual decides to give up rather than risk loss and harm in physical conflict ( such as through estimates of Resource holding potential ).

These pathologies generate fibrin strands that sever red blood cells as they try to move past a thrombus.

These escape illusions are used by magicians to try and spice up their stage shows.

These TV cookery programs brought the recipes of these cooks to a new audience who were keen to try out new ways of cooking.

These laws cover control of artifacts that have not been discovered, to try to prevent looting of potential sites before exploration.

These are known as ' targeted primary health care outlet '- as these outlets primarily target people who inject drugs and / or ' low-threshold health care outlet '- as these reduce common barriers clients often face when they try to access health care from the conventional health care outlets.

These are basically more intelligent systems that try to communicate with cars to alert drivers of impeding light changes and reduce motorists ' waiting time considerably.

These CDs have the data 11, 400 sectors ( 2m32s ) after the audio, but some CD rippers may try to rip this blank section with the last track ; the end result is that the ripper stalls during the last track or simply reports errors.

" These types of models try to value household output by determining monetary values for the inputs — in the dinner example, the ingredients and production of the meal — and compares those with market equivalents.

These rules allow one boat to try and attack the other by getting the other boat penalized so that it has to do what is called three sixty ( this is turning the boat three hundred and sixty degrees around or as the rule that states, one tack and one gibe in the same direction ), which then puts the penalized boat at a large disadvantage compared to the others.

These may accumulate up to 30 cm deep, killing trees by their chemical concentration ; in smaller amounts, the droppings are, however, beneficial as a fertiliser, and therefore woodland managers may try to move roosts from one area of a wood to another to spread the benefit and avoid large toxic deposits.

These power-ups try to trick the player into grabbing them, only to result usually into damage, removed abilities, or player death.

These attacks may include " breakaways " and " fliers ", in which skaters try to create new smaller and faster packs or else to escape entirely from the other skaters.

These attitudes, which seem patronising today, were outlined in his book The Backward Peoples and Our Relations with Them ( 1920 ), but included his view that colonial rulers should try to understand the culture of the subjugated peoples.

These two groups decided to join forces and try the ascent of the Hörnli ridge.

These sites try to minimize the risk of untrained divers being tempted to venture inside the cave systems.