But perhaps a detective or philosopher / scientist / engineer might seek to learn about something, at progressively deeper levels of detail, to solve a crime or a puzzle.

At the turn of the millennium, the line between a graphing calculator and a handheld computer was not always clear, as some very advanced calculators such as the TI-89, the Voyage 200 and HP-49G could differentiate and integrate functions, solve differential equations, run word processing and PIM software, and connect by wire or IR to other calculators / computers.

Although the problem is not known to be in NC, parallel algorithms with time superior to the Euclidean algorithm exist ; the best known deterministic algorithm is by Chor and Goldreich, which ( in the CRCW-PRAM model ) can solve the problem in O ( n / log n ) time with n < sup > 1 + ε </ sup > processors.

* Mystery / puzzle: This cache requires one to discover information or solve a puzzle to find the cache.

Gaussian elimination to solve a system of n equations for n unknowns requires n ( n-1 ) / 2 divisions, ( 2n < sup > 3 </ sup > + 3n < sup > 2 </ sup > − 5n )/ 6 multiplications, and ( 2n < sup > 3 </ sup > + 3n < sup > 2 </ sup > − 5n )/ 6 subtractions, for a total of approximately 2n < sup > 3 </ sup > / 3 operations.

:: to show / solve < tt > G </ tt >, show / solve < tt > G < sub > 1 </ sub ></ tt > and … and < tt > G < sub > n </ sub ></ tt >

The CID-keyed font format was also designed, to solve the problems in the OCF / Type 0 fonts, for addressing the complex Asian-language ( CJK ) encoding and very large character set issues.

A laser could be used as a photon rocket engine, and would solve the reflection / collimation problem, but lasers are absolutely less efficient at converting energy into light than blackbody radiation is — though one should also note the benefits of lasers vs blackbody source, including unidirectional controllable beam and the mass and durability of the radiation source.

* GAs cannot effectively solve problems in which the only fitness measure is a single right / wrong measure ( like decision problems ), as there is no way to converge on the solution ( no hill to climb ).

Implementation of RTS / CTS helps to partially solve the hidden node problem that is often found in wireless networking.

1 ) above to solve for dy / dx:

While the project teams on SoftwareForge and ProjectForge are focused on their individual project or projects, the Forge. mil Community site provides teams / individuals working to solve similar problems and / or discuss similar challenges that transcend a single project or set of projects a means to self organize around these challenges to develop common solutions.

Computer-implemented inventions which only solve a business problem using a computer, rather than a technical problem, are considered unpatentable as lacking an inventive step ( see T 258 / 03 ).

If the service desk cannot solve the incident then it is passed to a 2nd / 3rd level group within the incident management system.

Computational physics also encompasses the tuning of the software / hardware structure to solve problems.

*** Alphabets / scripts ; most recent systems use the Unicode standard to solve many of the character encoding problems.

* Datagram Transport Layer Security ( DTLS ), is used in Cisco AnyConnect VPN, to solve the issues SSL / TLS has with tunneling over UDP.

It exists as a consequence of the implicit judgement that every person does about, on one side, his / her ability to face life's challenges, that is, to understand and solve problems, and, on the other side, his right to achieve happiness, or, in other words, to respect and defend his own interests and needs.

* The anime series Tantei Gakuen Q / Detective Academy Q is the story of a group of young students from Class Q of Dan Detective School ( DDS ), a prestigious and renowned detective academy founded by Morihiko Dan, the most famous detective in Japan, and the adventures and mysteries they unfold and solve together.

He explained that price signals are the only means of enabling each economic decision maker to communicate tacit knowledge or dispersed knowledge to each other, in order to solve the economic calculation problem.

* The VNG User's Consortium is working on ways to solve the problem of the lack of accurate time signals in Australia.

To solve this problem, the phase of the signals relative to absolute time ( UTC ) is measured using instruments relying on GPS.

to solve problems in the accurate transmission of analog signals.

* The patents do not address any details of the digital coding techniques used and / or details of methods how to solve the problems associated with extremely high bit rates of digital video signals.

In either case, changes to the conventional signals wouldn't solve the problem of the difficulty of seeing and reacting to the signals at higher speeds.

The Minḥat Ḳenaot is instructive reading for the historian because it throws much light upon the deeper problems which agitated Judaism, the question of the relation of religion to the philosophy of the age, which neither the zeal of the fanatic nor the bold attitude of the liberal-minded could solve in any fixed dogmatic form or by any anathema, as the independent spirit of the congregations refused to accord to the rabbis the power possessed by the Church of dictating to the people what they should believe or respect.

The ideal gas law or another equation of state is often used in conjunction with these equations to form a determined system to solve for the unknown variables.

In principle, it is possible to solve the Schrödinger equation in either its time-dependent or time-independent form, as appropriate for the problem in hand ; in practice, this is not possible except for very small systems.

Independently, these two trends show the form becoming highly artificial — more like a puzzle to solve than a medium for personal poetic expression.

* Fluid intelligence ( Gf ) includes the broad ability to reason, form concepts, and solve problems using unfamiliar information or novel procedures.

In 1956, under his direction, St-Laurent's Secretary of State for External Affairs Lester B. Pearson, helped solve the Suez Crisis in 1956 between Great Britain, France, Israel and Egypt, bringing forward St-Laurent's 1946 views on a U. N. military force in the form of the United Nations Emergency Force ( UNEF ) or peacekeeping.

And if we could solve this we'd learn something general about the evolution of form.

It is important to realize that the word problem is in fact solvable for many groups G. For example, polycyclic groups have solvable word problems since the normal form of an arbitrary word in a polycyclic presentation is readily computable ; other algorithms for groups may, in suitable circumstances, also solve the word problem, see the Todd – Coxeter algorithm and the Knuth – Bendix completion algorithm.

He also showed how to solve systems of linear equations be reducing the matrix of their coefficents to diagonal form.

This problem per se is quite clumsy to solve in closed form.

Galois theory not only provides a beautiful answer to this question, it also explains in detail why it is possible to solve equations of degree four or lower in the above manner, and why their solutions take the form that they do.

Made in the form of a ' fly on the wall ' documentary, Fassbinder himself appears making phone calls in the nude ; flushing cocaine in the toilet in a state of paranoia ; taking his frustration on his lover Armin Meier and angrily arguing with his mother, who longs for a benign dictator to solve the problem of terrorism.

Equivalently, it may solve an unconstrained minimization of the least-squares penalty with added, where is a constant ( this is the Lagrangian form of the constrained problem ).

To describe the plane as an equation in the form, solve the following system of equations:

When a differential equation can be expressed in linear form, it is particularly easy to solve by breaking the equation up into smaller pieces, solving each of those pieces, and summing the solutions.

Suppose one wants to solve a differential equation of the form

This form of parity was famously used to solve the Mutilated chessboard problem.

Around 1770, Joseph Louis Lagrange began the groundwork that unified the many different tricks that had been used up to that point to solve equations, relating them to the theory of groups of permutations, in the form of Lagrange resolvents.

A brain teaser is a form of puzzle that requires thought to solve.

Robert H. Waterman, Jr. defined adhocracy as " any form of organization that cuts across normal bureaucratic lines to capture opportunities, solve problems, and get results ".

Examples are programs that solve the primitive equations, given energy input into the model, and energy dissipation in the form of scale-dependent friction, so that atmospheric waves with the highest wavenumbers are the ones most strongly attenuated.

* Genetic programming-Here the solutions are in the form of computer programs, and their fitness is determined by their ability to solve a computational problem.

It is not clear yet which form can best meet the necessary energy demands or which process can best solve the demand for electricity.

If one inserts a more realistic barrier model into the simplest form of the Schrödinger equation, then an awkward mathematical problem arises over the resulting differential equation: it is known to be mathematically impossible in principle to solve this equation exactly in terms of the usual functions of mathematical physics, or in any simple way.

This property of a Green's function can be exploited to solve differential equations of the form