Link g4x

G4X, the legend continuesThe championship winning G4X Range of ECUs is still recommended for many applications. If you are not running direct injection, needing over 8 injectors, don’t need the extra inputs and outputs and can do without the new features like GPS and Wi-Fi, then G4X is still the high-performance ECU for you.The full G4X range was released in August 2020 and is still one of the most modern ECUs on the market (some competitor ‘latest’ ECUs are over ten years old). Over this time, G4X has proven to be the most reliable ECU on the market, with a reputation of simply working out the box.G4X is race proven the world over, meaning that G4X ECUs have powered many championship winning vehicles, broken many records such as the fastest Skyline in the world, and has been proven in Drift, Circuit, Drag, Jetboats, Off-road, snow mobiles, airplanes and many other applications.Link will continue to manufacture and sell the G4X range for years to come and will continue to provide free software updates, free support via live human tech support, and will continue to back it with Link’s limited lifetime warranty.The trusted high-performance solution.The G4X range of ECUs is still a world leader in its class and has many advanced features such as:One of the fastest microcontrollers (computers) on the marketTraction ControlLaunch ControlAnti-lagFlappy Paddle Control512MB of onboard data loggingRace TimerFlex fuelE-throttle ControlVVT ControlThe ECU for you?LinkECU recommends the G4X range of ECUs for applications like the below non-DI engines running 8 injectors or less:Chevrolet LS. Honda B16, F20C, K20. Mazda 13B, 20B. Mitsubishi 4G63T. Nissan CA, SR, RB, VK, VQ, VR38. Subaru EJ20. Toyota 4-AGE, 1UZ, 1JZ, 2JZ, 3S-GE.The above are examples of just some of the engines we typically recommend G4X for. To confirm if G4X is the ECU for you, please contact your local reseller or Link’s Tech Support team.

Easy to install. Affordable. Reliable. G4X PlugIn ECUs offer the latest in engine management technology, designed to easily maximize the potential from your car. Our BMW Mini ECU comes in its own case which fits directly into the factory location. Installation is a breeze, with no alteration of the factory wiring loom required for the models listed below. This ECU is designed for the R50-R53 Tritec 1.6 SC engine. Please check your pinoutconnector matches the header in the listed photo before purchasing. This ECU works for manual transmissions only. An XS Loom and 4 Bar Map Sensor highly recommended (sold separately). Most factory features are supported. Check the features tab for I/O expansion options Suitable applications: R50 –R53 MINI Hatch with the 1.6l SC engine Chronopack dash option not currently supported G4X PlugIn Key Features (where applicable):Up to 6D fuel and ignition mappingPrecision closed loop cam control (four cam, independent control)Sequential fuel deliveryDigital triggering, all OEM patternsOEM idle hardware supported5D boost control with three switchable tablesMotorsport features - antilag, launch, flat shiftContinuous barometric correction (on board)CAN portQuickTune - automated fuel tuningIndividual cylinder correctionUSB tuning cable includedStats recording into on-board memoryGear compensations for spark, boost and fuelReal time selectable dual fuel, ignition and boost mapsSync and crank sensors can be a combination of Hall effect, variable reluctance or opticalBoost control referenced to gear, speed or throttle position512 mega bytes data logging memoryStaged injectionKnock with "windowing"The following expansion connector inputs/outputs are provided: Aux1 Auxiliary Output DI8 Digital Input DI9 Digital Input An Temp 3 Temperature sensor input An Temp 4 Temperature sensor input An Volt 10 Analog 0-5V input An Volt 11 Analog 0-5V input +5V Out Low Current +5V Supply GND Sensor Ground Only *Please see the PC Link Help file for details regarding installing the Expansion Cable. Download ManualClick hereClick here to download the full Specifications PDF.

That is, that Γ1 includes its “endpoints”). We can then choose the approximating subspace of V̂ as follows:Vh=v∈CΩ¯:v is linear on Thvz=0for all nodesz∈Γ1.A basis for Vh is formed by including all basis functions corresponding to interior boundary nodes that do not belong to Γ1. If the BVP includes only Neumann conditions, then the stiffness matrix will be singular, reflecting the fact that BVP either does not have a solution or has infinitely many solutions. Special care must be taken to compute a meaningful solution to the resulting linear system.3.10 The method of shifting the data3.10.1 Inhomogeneous Dirichlet conditions on a rectangleIn a two-dimensional problem, inhomogeneous boundary conditions are handled just as in one dimension. Inhomogeneous Dirichlet conditions are addressed via the method of shifting the data (with a specially chosen piecewise linear function), while inhomogeneous Neumann conditions are taken into account directly when deriving the weak form. Both types of boundary conditions lead to a change in the load vector.The method of shifting the data can be used to transform an inhomogeneous Dirichlet problem to a homogeneous Dirichlet problem. This technique works just as it did for a one-dimensional problem, although in two dimensions it is more difficult to find a function satisfying the boundary conditions. We consider the BVP−Δu=fx,x∈Ω=0a×0b,ux=gx=g1x,x∈Γ1,g2x,x∈Γ2,g3x,x∈Γ3,g4x,x∈Γ4,E38where Γ1, Γ2, Γ3, and Γ4 are, respectively, the bottom, right, top, and left boundary edges of the rectangular domain Ω=0a×0b. We will assume that the boundary data are continuous, sog10=g40,g1a=g20,g2b=g3a,g30=g4b.Suppose we find a function w defined on Ω¯ and

Satisfying wx=gx for all x∈∂Ω. We then define v=u−w and note thatand vx=ux−wx=0 for all x∈∂Ω. We can then solve−Δv=f̂x,x∈Ω,vx=0,x∈∂Ω.E39Finally, the solution u will be given by u=v+w.We now describe a method for computing a function w that satisfies the given Dirichlet conditions. We first note that there is a polynomial of the form qxy=c0+c1x+c2y+c3xy, which assumes the desired boundary values at the corners:q00=g10=g40,qa0=g1a=g20,qab=g2b=g3a,q0b=g30=g4b.A direct calculation shows thatc0=g10,c1=g1a−g10a,c2=g4b−g40b,c3=g2b+g10−g1a−g4bab.We then definehx=h1x=g1x−g10+g1a−g10ax,x∈Γ1,h2y=g2y−g20+g2b−g20by,x∈Γ2,h3x=g3x−g30+g3a−g30ax,x∈Γ3,h4y=g4y−g40+g4b−g40by,x∈Γ4.We have thus replaced each gi by a function hi which differs from gi by a linear function, and which has value zero at the two endpoints:h10=h1a=h20=h2b=h30=h3a=h40=h4b=0.Finally, we definewxy=c0+c1x+c2y+c3xy+h1x+h3x−h1xby+h4y+h2y−h4yax.The reader should notice how the second term interpolates between the boundary values on Γ1 and Γ3, while the third term interpolates between the boundary values on Γ2 and Γ4. In order for these two terms not to interfere with each other, it is necessary that the boundary data be zero at the corners. It was for this reason that we transformed the gi ′s into the hi ′s. The first term in the formula for w undoes this transformation. It is straightforward to verify that w satisfies the desired boundary conditions.3.10.2 Inhomogeneous Neumann conditions on a rectangleWe can also apply the technique of shifting the data to transform a BVP with inhomogeneous Neumann conditions to a related BVP with homogeneous Neumann conditions. However, the details are somewhat more involved than in the Dirichlet case. Consider the following BVP with the Neumann conditions−Δu=fx,x∈Ω=0a×0b,n⋅∇ux=gx=g1x,x∈Γ1,g2x,x∈Γ2,g3x,x∈Γ3,g4x,x∈Γ4,E40where Γ1, Γ2, Γ3, and Γ4 are, respectively, the bottom, right,

Start accepting payments on the go! ROAMpay X5 goes beyond enabling mobile payment acceptance, transforming your phone or tablet into a true mobile point of sale device. ROAMpay X5 is complete with all the tools you need to manage your business, including a product catalog and customized receipts. Reduce liability and qualify for lower transaction rates when used with any of Ingenico's E2E-encrypted secure mobile card readers. Accept in-store EMV transactions using our newest card readers, the Moby/8500 (PIN-enabled) and the Moby/5500. Legacy card readers including the Moby/3000, RP350x, RP457, RP450BT, RP757, and G4x/G5x are also supported. GETTING STARTED The application currently does not support signing up in-app. Please contact your merchant service provider or the Worldline help desk at for your credentials or to partner with us. This application is free but requires that you have a merchant account. A demo account is available to view the different features of the application but cannot process transactions. To access this functionality, enter ‘demo’ as the username with any text as the password. APPLICATION FEATURES • NEW! Use biometrics to quickly log in to your merchant account and take payments even faster. You must have biometrics set up on your device and a single merchant account per device. • Accept NFC/contactless payments and mobile wallets like Apple Pay and Android Pay using compatible readers. • Store and Forward support allows you to accept payments in areas of poor reception or restricted WiFi and process them later. * • QuickChip support - allows your customers to remove their EMV-chip cards earlier in the transaction process, shorting customer interaction time with the card reader. * • Configure tax, discounts, and tip for both cash and card transactions with custom set values, enabling additional income for front-line merchants and flexibility for your workflows. * • Record cash payments for a singular view of all sales and revenue. • Have customers sign right on your phone or tablet. • Swipe magstripe cards or key in card information to process all major cards. • Send customized receipts via email with your logo, message for your customers, and contact information. • Record transaction notes, invoice IDs, and custom reference values • Manage a catalog of products with photos, names, and prices. • Support for barcode scanning. • Issue refunds / voids for previous transactions. View previous transaction history, totals, and daily summaries. • Enterprise-ready and configurable to support merchants of all sizes. • ROAMmerchant Merchant Portal for self-service reporting & management. * Contact your service provider to confirm availability. For additional information, please visit the help center at