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Think of one enantiomer in a solution as a large number of little helices (or screws), all right-handed, but in random orientations. Birefringence of this sort is possible even in a fluid because the handedness of the helices is not dependent on their orientation: even when the direction of one helix is reversed, it still appears right handed.
It is assumed that the molecules move in random directions and as a consequence, there is an equal probability of a molecule moving in any direction. Thus when there are many molecules in the gas, with high probability there will be very similar numbers moving in one direction as any other, demonstrating approximate isotropy. Fluid dynamics
Mechanical properties of materials such as Young's modulus, ductility, yield strength, and high-temperature creep rate, are often dependent on the direction of measurement. [9] Fourth-rank tensor properties, like the elastic constants, are anisotropic, even for materials with cubic symmetry.
The word dog is the head of big red dog since it determines that the phrase is a noun phrase, not an adjective phrase. Because the adjectives big and red modify this head noun, they are its dependents. [2] Similarly, in the compound noun birdsong, the stem song is the head since it determines the basic meaning of the compound.
So in the forward direction, the rotation is positive 45°. In the reverse direction, the rotation is −45°. This is due to the change in the relative magnetic field direction, positive one way, negative the other. This then adds to a total of 90° when the light travels in the forward direction and then the negative direction.
Dependency is a one-to-one correspondence: for every element (e.g. word or morph) in the sentence, there is exactly one node in the structure of that sentence that corresponds to that element. The result of this one-to-one correspondence is that dependency grammars are word (or morph) grammars.
Heads and dependents are identified by the actual hierarchy of words, and the concepts of head-marking and dependent-marking are indicated with the arrows. Subject-verb agreement, shown in the tree on the left, is a case of head-marking because the singular subject John requires the inflectional suffix -s to appear on the finite verb cheats ...
Link grammar is similar to dependency grammar, but dependency grammar includes a head-dependent relationship, whereas link grammar makes the head-dependent relationship optional (links need not indicate direction). [1] Colored Multiplanar Link Grammar (CMLG) is an extension of LG allowing crossing relations between pairs of words. [2]