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For the case of schemes, see Fiber product of schemes. In category theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit of a diagram consisting of two morphisms f : X → Z and g : Y → Z with a common codomain. The pullback is written. P = X ×f, Z, g Y.
Then there is an associated linear map from the space of 1-forms on (the linear space of sections of the cotangent bundle) to the space of 1-forms on . This linear map is known as the pullback (by ), and is frequently denoted by . More generally, any covariant tensor field – in particular any differential form – on may be pulled back to using .
e. Motion, the process of movement, is described using specific anatomical terms. Motion includes movement of organs, joints, limbs, and specific sections of the body. The terminology used describes this motion according to its direction relative to the anatomical position of the body parts involved. Anatomists and others use a unified set of ...
Concentric and eccentric muscle contractions. These two types of contractions often go together. A concentric muscle contraction helps you lift something heavy. It is often referred to as positive ...
A pulled muscle occurs when you tear or overstretch some of the muscle fibers. This can happen if you overwork the muscle or twist it too hard. You will probably notice pain and swelling, and the ...
Lateral flexion involves bending a body part, mainly your torso and neck, sideways. This type of movement can be affected by back injuries and other conditions. You can improve your lateral ...
With the pullup, your hands are in a pronated position with your palms facing away from you. Meanwhile, with the chinup, you have your hands in a supinated position with your palms facing toward ...
Phimosis is a condition where the foreskin can't be pulled back from the head of the penis. It's normal in babies and small children, and they usually grow out of it. It can also be caused by ...