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Differences What are the advantages of each

Front view of Radeon HD 8670

Reasons to consider the
AMD Radeon HD 8670

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Much higher clock speed 1,000 MHz vs 576 MHz Around 75% higher clock speed
Significantly higher effective memory clock speed 4,600 MHz vs 1,998 MHz More than 2.2x higher effective memory clock speed
More memory 2,048 MB vs 896 MB More than 2.2x more memory
Higher memory clock speed 1,150 MHz vs 999 MHz More than 15% higher memory clock speed
Lower TDP 75W vs 182W 2.4x lower TDP
Front view of GeForce GTX 260

Reasons to consider the
Nvidia GeForce GTX 260

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More render output processors 28 vs 8 20 more render output processors
Higher memory bandwidth 111.9 GB/s vs 73.6 GB/s More than 50% higher memory bandwidth
Significantly wider memory bus 448 bit vs 128 bit 3.5x wider memory bus
Higher pixel rate 16.1 GPixel/s vs 8 GPixel/s More than 2x higher pixel rate
More texture mapping units 64 vs 24 40 more texture mapping units

Features Key features of the Radeon HD 8670  vs GeForce GTX 260 

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

Radeon HD 8670
73.6 GB/s
GeForce GTX 260
111.9 GB/s
As memory bandwidth becomes the ultimate bounding condition, the gap between Richland and Haswell shrinks considerably.
Radeon HD 8670 | by Anand-Lal-Shimpi (Jun, 2013)

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

Radeon HD 8670
8 GPixel/s
GeForce GTX 260
16.1 GPixel/s
Here the Radeon HD 8670D holds a 50% performance advantage over Intel's HD 4600 graphics.
Radeon HD 8670 | by Anand-Lal-Shimpi (Jun, 2013)

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

Radeon HD 8670
24 GTexel/s
GeForce GTX 260
36.9 GTexel/s
While there isn't a substantial increase in GPU performance between Richland and Trinity, AMD's GPU performance lead over Ivy Bridge was big enough to withstand Haswell's arrival.
Radeon HD 8670 | by Anand-Lal-Shimpi (Jun, 2013)

floating point performance How fast the gpu can crunch numbers

Radeon HD 8670
768 GFLOPS
GeForce GTX 260
476.9 GFLOPS

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

Also it should be noted that this 216 shader GPU will not completely replace the GTX 260 with 192 shaders.
GeForce GTX 260 | by techPowerUp! (Sep, 2008)

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

Specifications Full list of technical specs

gpu

Radeon HD 8670  vs
GeForce GTX 260 
GPU brand AMD Nvidia
GPU name Oland XT GT200
Market Desktop Desktop
Clock speed 1,000 MHz 576 MHz
Is dual GPU No No
Reference card None None

raw performance

Shading units 384 192
Texture mapping units 24 64
Render output processors 8 28
Pixel rate 8 GPixel/s 16.1 GPixel/s
Texture rate 24 GTexel/s 36.9 GTexel/s
Floating-point performance 768 GFLOPS 476.9 GFLOPS

memory

Radeon HD 8670  vs
GeForce GTX 260 
Memory clock speed 1,150 MHz 999 MHz
Effective memory clock speed 4,600 MHz 1,998 MHz
Memory bus 128 bit 448 bit
Memory 2,048 MB 896 MB
Memory type GDDR5 GDDR3
Memory bandwidth 73.6 GB/s 111.9 GB/s

noise and power

TDP 75W 182W

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