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Differences What are the advantages of each

Front view of Radeon HD 7990

Reasons to consider the
Generic Radeon HD 7990

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Is dual GPU Yes vs No About half of graphics cards are dual GPU
Much higher memory bandwidth 576 GB/s vs 240.3 GB/s Around 2.5x higher memory bandwidth
Significantly better floating-point performance 7,782 GFLOPS vs 4,173.31 GFLOPS More than 85% better floating-point performance
Higher clock speed 950 MHz vs 836 MHz Around 15% higher clock speed
More memory 6,144 MB vs 5,120 MB 20% more memory
Higher texture rate 243.2 GTexel/s vs 173.9 GTexel/s Around 40% higher texture rate
Higher pixel rate 60.8 GPixel/s vs 40.1 GPixel/s More than 50% higher pixel rate
Significantly more shading units 4,096 vs 2,496 1600 more shading units
Much wider memory bus 768 bit vs 320 bit Around 2.5x wider memory bus
Significantly higher turbo clock speed 1,000 MHz vs 876 MHz Around 15% higher turbo clock speed
Significantly more render output processors 64 vs 40 24 more render output processors
More texture mapping units 256 vs 208 48 more texture mapping units
Front view of GeForce GTX TITAN LE

Reasons to consider the
Nvidia GeForce GTX TITAN LE

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Significantly lower TDP 235W vs 375W More than 35% lower TDP

Features Key features of the Radeon HD 7990  vs GeForce GTX TITAN LE 

memory bandwidth Rate at which data can be read from or stored in onboard memory

Radeon HD 7990
576 GB/s
Compared to the original Titan we're talking about anywhere from a 13.8% to a 19.9% increase in performance on compute bound workloads or a 16.7% increase on memory bandwidth bound workloads.
GeForce GTX TITAN LE | by Anand-Lal-Shimpi (Feb, 2014)

pixel rate Number of pixels a graphics card can render to the screen every second

Radeon HD 7990
60.8 GPixel/s
GeForce GTX TITAN LE
40.1 GPixel/s
The GTX 690 absolutely exploded on individual frame rate results going anywhere from under 2 ms (a frame rate of 500 FPS)!
GeForce GTX TITAN LE | by Ryan-Shrout (Feb, 2013)

texture rate Speed at which a graphics card can perform texture mapping

Radeon HD 7990
243.2 GTexel/s
GeForce GTX TITAN LE
173.9 GTexel/s
I was pleasantly surprised by the amount of performance that could be squeezed into a fairly small chassis, without being overly loud.
GeForce GTX TITAN LE | by Anand-Lal-Shimpi (Feb, 2013)

floating point performance How fast the gpu can crunch numbers

Radeon HD 7990
7,782 GFLOPS
GeForce GTX TITAN LE
4,173.31 GFLOPS
Titan would top the Top500 list at this time as it is significantly more capable as the currently leading system - Lawrence Livermore National Laboratory's BlueGene/Q-based Sequoia supercomputer (16.3 PFlops).
GeForce GTX TITAN LE | by Wolfgang-Gruener (Oct, 2012)

shading units Subcomponents of the gpu, these run in parallel to enable fast pixel shading

Well, we should expect 2688 stream processors, 224 texture units, and 48 raster operating units.
GeForce GTX TITAN LE | by Anthony-Garreffa (Feb, 2013)

texture mapping units Built into each gpu, these resize and rotate bitmaps for texturing scenes

We should expect the GTX TITAN Black Edition to feature 2880 CUDA cores, 240 TMUs, and 48 ROPS.
GeForce GTX TITAN LE | by Anthony-Garreffa (Feb, 2014)

Specifications Full list of technical specs

gpu

Radeon HD 7990  vs
GeForce GTX TITAN LE 
GPU brand AMD Nvidia
GPU name Malta GK110
Market Desktop Desktop
Clock speed 950 MHz 836 MHz
Turbo clock speed 1,000 MHz 876 MHz
Is dual GPU Yes No
Reference card AMD Radeon HD 7990 950 MHz 6 GB None

raw performance

Shading units 4,096 2,496
Texture mapping units 256 208
Render output processors 64 40
Pixel rate 60.8 GPixel/s 40.1 GPixel/s
Texture rate 243.2 GTexel/s 173.9 GTexel/s
Floating-point performance 7,782 GFLOPS 4,173.31 GFLOPS

memory

Radeon HD 7990  vs
GeForce GTX TITAN LE 
Memory clock speed 1,500 MHz 1,502 MHz
Effective memory clock speed 6,000 MHz 6,008 MHz
Memory bus 768 bit 320 bit
Memory 6,144 MB 5,120 MB
Memory type GDDR5 GDDR5
Memory bandwidth 576 GB/s 240.3 GB/s

noise and power

TDP 375W 235W

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