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The translations here arise from the glide reflections, so this group is generated by a glide reflection and either a rotation or a vertical reflection. p11m [∞ +,2] C ∞h Z ∞ ×Dih 1 ∞* jump (THG) Translations, Horizontal reflections, Glide reflections: This group is generated by a translation and the reflection in the horizontal axis ...
Now suppose the translations are not parallel, and that the mirror sequence is A 1, A 2 (the first translation) followed by B 1, B 2 (the second). Then A 2 and B 1 must cross, say at c; and, reassociating, we are free to pivot this inner pair around c. If we pivot 90°, an interesting thing happens: now A 1 and A 2 ′ intersect at a 90° angle ...
The isometry group generated by just a glide reflection is an infinite cyclic group. [1] Combining two equal glide reflections gives a pure translation with a translation vector that is twice that of the glide reflection, so the even powers of the glide reflection form a translation group.
The Buddha advised: "These are the five facts that one should reflect on often, whether one is a woman or a man, lay or ordained." [5]Since the Buddha redefined kamma as intention in the Nibbedhika Sutta, intention or intentionally committed actions may be better translations of kamma in the last recollection.
A rotation in the plane can be formed by composing a pair of reflections. First reflect a point P to its image P′ on the other side of line L 1. Then reflect P′ to its image P′′ on the other side of line L 2. If lines L 1 and L 2 make an angle θ with one another, then points P and P′′ will make an angle 2θ around point O, the ...
Self-reflection is the ability to witness and evaluate one's own cognitive, emotional, and behavioural processes. In psychology , other terms used for this self-observation include "reflective awareness" and "reflective consciousness", which originate from the work of William James .
Dol or doljanchi (Korean: 돌; 돌잔치) is a Korean tradition that celebrates a baby's first birthday.. The tradition has been practiced since the early Joseon period. The ceremony typically involves the ritual offering of a samsinsang to the god Samsin (whom is said to watch over children), the preparation of a dolsang with various foods and ritual objects, and a doljabi (based on the ...
Hyakunin isshu can be translated to "one hundred people, one poem [each]"; it can also refer to the card game of uta-garuta, which uses a deck composed of cards based on the Hyakunin Isshu. The most famous and standard version was compiled by Fujiwara no Teika (1162–1241) while he lived in the Ogura district of Kyoto . [ 1 ]
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