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A faithful functor need not be injective on objects or morphisms. That is, two objects X and X′ may map to the same object in D (which is why the range of a full and faithful functor is not necessarily isomorphic to C), and two morphisms f : X → Y and f′ : X′ → Y′ (with different domains/codomains) may map to the same morphism in D.
In electronics, faithful amplification is the amplification of a signal, particularly a weak one, by a triode or a transistor such that the signal changes in amplitude but not in shape. [ 1 ] [ 2 ] [ 3 ] In order to achieve this with a bipolar transistor , the transistor is biased .
Over three years after the accidental on-set death of cinematographer Halyna Hutchins, Alec Baldwin's Western film “Rust” received a polite response during its controversial premiere Wednesday ...
While representations of G over a field K are de facto the same as K[G]-modules (with K[G] denoting the group algebra of the group G), a faithful representation of G is not necessarily a faithful module for the group algebra. In fact each faithful K[G]-module is a faithful representation of G, but the converse does not hold.
The shared-exponent floating point color format known as RGBE is also supported, enabling more faithful storage of high-dynamic-range (HDR) images. In addition to RGB and CMYK formats, JPEG XR also supports grayscale and multi-channel color encodings with an arbitrary number of channels.
Image credits: hootersbutwithcats After completing his veterinary degree, Pont went on to do a year of compulsory community service. Naturally, having worked with wildlife before, he has a keen ...
For photo scanning, it doesn't get better than this $200 scanner from Amazon. You can scan stacks of photos at a time without having to manually open a scanner or align pictures perfectly.