Solutions of boundary value problems for the Laplace equation satisfy the Dirichlet principle.

Solutions of the Dirac equation contained negative energy quantum states.

* Solutions to the radial Schrödinger equation ( in spherical and cylindrical coordinates ) for a free particle

Solutions to specific examples of the Pell equation, such as the Pell numbers arising from the equation with n = 2, had been known for much longer, since the time of Pythagoras in Greece and to a similar date in India.

Solutions of the homogeneous equation can be found by trying.

Solutions of this equation are wave functions which can be used to describe the probability density of a particle.

Solutions of this equation that are initially zero outside some restricted region propagate out from the region at a fixed speed in all spatial directions, as do physical waves from a localized disturbance ; the constant c is identified with the propagation speed of the wave.

Solutions of Laplace's equation are called harmonic functions.

Solutions of Laplace's equation are called harmonic functions ; they are all analytic within the domain where the equation is satisfied.

His dissertation, entitled, " Solutions of the Mathieu equation of period 4 pi and certain related functions ", was beyond the comprehension of the chemistry and physics faculty, and only when some members of the mathematics department, including the chairman, insisted that the work was good enough that they would grant the doctorate if the chemistry department would not, was he granted a Ph. D. in chemistry in 1935.

Solutions of Laplace's equation are called harmonic functions.

Solutions to Schrödinger's equation describe not only molecular, atomic, and subatomic systems, but also macroscopic systems, possibly even the whole universe.

Solutions of the equation Δƒ = 0, now called Laplace's equation, are the so-called harmonic functions, and represent the possible gravitational fields in free space.

Solutions to the Helmholtz equation ( 2. 0 ) may readily be found in rectangular coordinates via the principle of separation of variables for partial differential equations.

Solutions of Lane – Emden equation for n = 0, 1, 2, 3, 4, 5.

Image: Solutions to Clairaut's equation where f ( t )= t ^ 2. png | Solutions to Clairaut's equation where

Image: Solutions to Clairaut's equation where f ( t )= t ^ 3. png |

A truck trailer refrigerator operating from the waste heat of a tractor's diesel exhaust was demonstrated by NRG Solutions, Inc. NRG developed a hydronic ammonia gas heat exchanger and vaporizer, the two essential new, not commercially available components of a waste heat driven refrigerator.

After having lost $ 4. 3 billion from 2007 to 2009, the company was divided into two independent public companies, Motorola Mobility and Motorola Solutions on January 4, 2011.

Sorting the crystals by hand gave two forms of the compound: Solutions of one form rotate polarized light clockwise, while the other form rotate light counterclockwise.

Sybase / iAnywhere Solutions and Open Text Corporation were the first two tenants, and the multi-tenant Accelerator Centre building opened in April 2006.

In 1995, the National Science Foundation authorized Network Solutions to assess domain name registrants a $ 50 fee per year for the first two years, 30 percent of which was to be deposited in the Intellectual Infrastructure Fund ( IIF ), a fund to be used for the preservation and enhancement of the intellectual infrastructure of the Internet.

Matrox is an umbrella name for two legal entities: first, Matrox Graphics Inc., the entity most recognized by the public which has been making graphics cards for over 30 years ; second, Matrox Electronic Systems Ltd., a company comprising two divisions: Imaging — making frame grabbers — and Digital Video Solutions — making video-editing products for professional markets.

The city contains the world headquarters of Motorola Solutions and one of only two IKEA stores in Illinois.

Within the IT industry Telia Partner AB and WM-data Infra Solutions AB are the two biggest employers.

In December 2010, an explosion and fire at the area's AL Solutions chemical plant, that manufactures chemicals related to aluminum, killed two workers and injured two others, one critically ; no evacuations were necessary, as the surrounding area was judged safe.

In addition two other central divisions, Siemens IT Solutions and Services and Siemens Financial Services, provide services to the rest of the company.

Shortly after leaving his Bush Cabinet post, Thompson joined and served for two years on the board of directors of Applied Digital Solutions, makers of the controversial VeriChip: a glass-encapsulated RFID chip that can be injected into human flesh for various database-driven identification purposes.

Additional software is also included for running an enterprise server or a compute server or cluster, although two separate products from Terra Soft Solutions, called Yellow Dog Enterprise Linux ( for enterprise servers ) and Y-HPC ( for compute servers / clusters ), are specifically targeted toward those applications.

In 1991, the company was restructured into two divisions ; Lighting Solutions ( Zumtobel Licht GmbH ) and Lighting Components ( Tridonic-Bauelemente GmbH ) as independent sub-groups.

Ultimately, Cooper emerged focused on the two business segments that remain in the portfolio today – Electrical Products Group and Energy and Safety Solutions.

During the mission the crew deployed two satellites, Canada's Anik D-2 ( Telesat H ) and Hughes ' LEASAT-1 ( Syncom IV-1 ), and operated the 3M Company's Diffusive Mixing of Organic Solutions experiment.

Solutions to the Paradox attempt to derive solutions that are more in line with solutions from the Cournot model of competition, where two firms in a market earn positive profits that lie somewhere between the perfectly competitive and monopoly levels.

The company ’ s products and services fall within two main business areas: Collection Solutions ( including the business streams reverse vending, compaction, and material recovery ) and Sorting Solutions ( including the business streams recycling, mining and food ).

The East Belfast Observer was owned by East Belfast Partnership, a charity committed to urban regeneration, who also operate two other social economy businesses, Avec Solutions, an IT company, and Landmark East, a property development company.

Among the works listed by the Suda there are Homeric Questions ; Whether Homer is a Philosopher ; Homeric Problems and Solutions ; and two publications on Attic diction.

As part of the $ 550 million transaction, Gores Group offered the contribution of two of its top assets: Enterasys and SER Solutions, a Virginia-based contacts management solutions provider.

Thompson sat on the board of directors of VeriChip's parent company Applied Digital Solutions for two years.

Problems and Solutions ( Quaestiones ) consists of three books which, although termed " problems and solutions of physical questions ," treat of subjects which are not all physical, and are not all problems.

Solutions of salts such as BeCl < sub > 2 </ sub > or Al ( NO < sub > 3 </ sub >)< sub > 3 </ sub > in water are noticeably acidic ; the hydrolysis can be suppressed by adding an acid such as nitric acid, making the solution more acidic.

These businesses ( except for set-top boxes and cable modems ) are now part of Motorola Solutions.

Solutions vary, but all modern tonearms are at least relatively lightweight and stiff constructions, with precision, very low friction pivot bearings in both the vertical and horizontal axes.

Solutions with a pH less than 7 are said to be acidic and solutions with a pH greater than 7 are basic or alkaline.

Solutions for wide-area disaster recovery and the compiler bundle are sold separately.

Solutions that are not homogeneous can show deviations from the Beer-Lambert law because of the phenomenon of absorption flattening.

Companies such as Cadence, Synopsys and Agility Design Solutions are promoting SystemC as a way to combine high level languages with concurrency models to allow faster design cycles for FPGAs than is possible using traditional HDLs.

Solutions with a pH value below 7. 0 are considered acidic, whereas solutions with pH value above 7. 0 are basic.

Several small technology companies are also based in Novato, such as 2K Marin, Radiant Logic, Imagemovers Digital, Toys For Bob, International Genetics Incorporated, Channel Management Solutions, Enwisen, and Sonic Solutions.

The largest employers in Hoffman Estates are Sears Holdings Corporation ( 5, 700 employees ), AT & T ( 4, 700 ), St. Alexius Medical Center ( 2, 121 ), GE Capital ( 800 ), Career Education Corporation ( 650 ), ADP ( 600 ), Siemens Medical Solutions ( 500 ), Leopardo ( 400 ), Liberty Mutual ( 400 ), Claire's ( 350 ), Bosch Rexroth ( 160 ), Mori Seiki ( 100 ) and FANUC ( 100 ).