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Differences What are the advantages of each

Front view of Radeon HD 7970

Reasons to consider the
AMD Radeon HD 7970

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Higher clock speed 925 MHz vs 823 MHz More than 10% higher clock speed
Better floating-point performance 3,789 GFLOPS vs 1,896 GFLOPS Around 2x better floating-point performance
Higher texture rate 118.4 GTexel/s vs 79 GTexel/s Around 50% higher texture rate
Higher pixel rate 29.6 GPixel/s vs 19.8 GPixel/s Around 50% higher pixel rate
More shading units 2,048 vs 1,152 896 more shading units
More texture mapping units 128 vs 96 32 more texture mapping units
Wider memory bus 384 bit vs 256 bit 50% wider memory bus
Front view of GeForce GTX 760 Rebrand

Reasons to consider the
Nvidia GeForce GTX 760 Rebrand

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Significantly lower TDP 130W vs 250W Around 50% lower TDP

Features Key features of the Radeon HD 7970  vs GeForce GTX 760 Rebrand 

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

Radeon HD 7970
29.6 GPixel/s
GeForce GTX 760 Rebrand
19.8 GPixel/s
Even better news is that some certain sites testing Frame Rating and SLI performance saw great scaling in real performance.
GeForce GTX 760 Rebrand | by Jeremy-Hellstrom (Jun, 2013)

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

Radeon HD 7970
118.4 GTexel/s
That improvement nets the card a 6% performance advantage over AMD's HD 7970 GHz Edition reference design.
Radeon HD 7970 | by techPowerUp! (Nov, 2012)

floating point performance How fast the gpu can crunch numbers

Radeon HD 7970
3,789 GFLOPS
It makes use of Bethesda's Creation Engine, which isn't visually intensive in that it doesn't use taxing graphics features, but the game's presentation itself, with large open worlds, ends up taxing your hardware.
Radeon HD 7970 | by techPowerUp! (Jul, 2012)

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

AMD's Tahiti graphics processor introduces a new shader architecture, it is also the first GPU to be produced on a 28 nm process at TSMC.
Radeon HD 7970 | by techPowerUp! (May, 2012)

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

render output processors GPU commponents responsible for transform pixels as they flow between memory buffers

Despite having a 384-bit wide memory interface, the raster operations processor (ROP) count didn't increase proportionately to 48, as expected.
Radeon HD 7970 | by techPowerUp! (Dec, 2011)

Specifications Full list of technical specs

gpu

Radeon HD 7970  vs
GeForce GTX 760 Rebrand 
GPU brand AMD Nvidia
GPU name Tahiti XT GK104
Market Desktop Desktop
Clock speed 925 MHz 823 MHz
Is dual GPU No No
Reference card None None

raw performance

Shading units 2,048 1,152
Texture mapping units 128 96
Render output processors 32 32
Pixel rate 29.6 GPixel/s 19.8 GPixel/s
Texture rate 118.4 GTexel/s 79 GTexel/s
Floating-point performance 3,789 GFLOPS 1,896 GFLOPS

memory

Radeon HD 7970  vs
GeForce GTX 760 Rebrand 
Memory clock speed 1,375 MHz 1,400 MHz
Effective memory clock speed 5,500 MHz 5,600 MHz
Memory bus 384 bit 256 bit
Memory 3,072 MB 3,072 MB
Memory type GDDR5 GDDR5

noise and power

TDP 250W 130W

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