"We're starting to see more cyclic vomiting syndrome called cannabis hyperemesis because THC content of marijuana now is so high," said Dr. Gabbard, referring to the psychoactive component of marijuana.
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And four more cyclic symmetries: Z15, Z5, Z3, and Z1, with Zn representing π/n radian rotational symmetry. On the pentadecagon, there are 8 distinct symmetries.
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This process is reported to generate more cyclic compounds than the ethylene dichloride route. As a practical matter, a mixture of products is obtained in both routes. This mixture is influenced by the composition of the feedstock, and various products are obtained by continuous distillation. By returning lower-order polyamines or polyamine derivatives into the process, more higher-order polyamines can be obtained.
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Since the 1960s, several proprietary software project management methods have been developed by software manufacturers for their own use, while computer consulting firms have also developed similar methods for their clients. Today software project management methods are still evolving, but the current trend leads away from the waterfall model to a more cyclic project delivery model that imitates a software development process.
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Symmetries of hexacontatetragons The regular hexacontatetragon has Dih64 dihedral symmetry, order 128, represented by 64 lines of reflection. Dih64 has 6 dihedral subgroups: Dih32, Dih16, Dih8, Dih4, Dih2 and Dih1 and 7 more cyclic symmetries: Z64, Z32, Z16, Z8, Z4, Z2, and Z1, with Zn representing π/n radian rotational symmetry. These 13 symmetries generate 20 unique symmetries on the regular hexacontatetragon. John Conway labels these lower symmetries with a letter and order of the symmetry follows the letter.
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It also has 6 more cyclic symmetries as subgroups: (Z50, Z25), (Z10, Z5), and (Z2, Z1), with Zn representing π/n radian rotational symmetry. John Conway labels these lower symmetries with a letter and order of the symmetry follows the letter.The Symmetries of Things, Chapter 20 He gives d (diagonal) with mirror lines through vertices, p with mirror lines through edges (perpendicular), i with mirror lines through both vertices and edges, and g for rotational symmetry.
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It also has 8 more cyclic symmetries as subgroups: (Z70, Z35), (Z14, Z7), (Z10, Z5), and (Z2, Z1), with Zn representing π/n radian rotational symmetry. John Conway labels these lower symmetries with a letter and order of the symmetry follows the letter.The Symmetries of Things, Chapter 20 He gives d (diagonal) with mirror lines through vertices, p with mirror lines through edges (perpendicular), i with mirror lines through both vertices and edges, and g for rotational symmetry.
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The symmetries of a regular hectogon. Light blue lines show subgroups of index 2. The 3 boxed subgraphs are positionally related by index 5 subgroups. The regular hectogon has Dih100 dihedral symmetry, order 200, represented by 100 lines of reflection. Dih100 has 8 dihedral subgroups: (Dih50, Dih25), (Dih20, Dih10, Dih5), (Dih4, Dih2, and Dih1). It also has 9 more cyclic symmetries as subgroups: (Z100, Z50, Z25), (Z20, Z10, Z5), and (Z4, Z2, Z1), with Zn representing π/n radian rotational symmetry.
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The symmetries of a regular octacontagon. Light blue lines show subgroups of index 2. The left and right subgraphs are positionally related by index 5 subgroups. The regular octacontagon has Dih80 dihedral symmetry, order 80, represented by 80 lines of reflection. Dih40 has 9 dihedral subgroups: (Dih40, Dih20, Dih10, Dih5), and (Dih16, Dih8, Dih4, and Dih2, Dih1). It also has 10 more cyclic symmetries as subgroups: (Z80, Z40, Z20, Z10, Z5), and (Z16, Z8, Z4, Z2, Z1), with Zn representing π/n radian rotational symmetry.
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Phase synchronization is the process by which two or more cyclic signals tend to oscillate with a repeating sequence of relative phase angles. Phase synchronisation is usually applied to two waveforms of the same frequency with identical phase angles with each cycle. However it can be applied if there is an integer relationship of frequency, such that the cyclic signals share a repeating sequence of phase angles over consecutive cycles. These integer relationships are called Arnold tongues which follow from bifurcation of the circle map.
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The symmetries of a regular hexacontagon, divided into 4 subgraphs containing index 2 subgroups. Each symmetry within a subgraph is related to the lower connected subgraphs. The regular hexacontagon has Dih60 dihedral symmetry, order 120, represented by 60 lines of reflection. Dih60 has 11 dihedral subgroups: (Dih30, Dih15), (Dih20, Dih10, Dih5), (Dih12, Dih6, Dih3), and (Dih4, Dih2, Dih1). And 12 more cyclic symmetries: (Z60, Z30, Z15), (Z20, Z10, Z5), (Z12, Z6, Z3), and (Z4, Z2, Z1), with Zn representing π/n radian rotational symmetry.
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The symmetries of a regular chiliagon. Light blue lines show subgroups of index 2. The 4 boxed subgraphs are positionally related by index 5 subgroups. The regular chiliagon has Dih1000 dihedral symmetry, order 2000, represented by 1,000 lines of reflection. Dih100 has 15 dihedral subgroups: Dih500, Dih250, Dih125, Dih200, Dih100, Dih50, Dih25, Dih40, Dih20, Dih10, Dih5, Dih8, Dih4, Dih2, and Dih1. It also has 16 more cyclic symmetries as subgroups: Z1000, Z500, Z250, Z125, Z200, Z100, Z50, Z25, Z40, Z20, Z10, Z5, Z8, Z4, Z2, and Z1, with Zn representing π/n radian rotational symmetry.
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The symmetries of a regular 120-gon. Symmetries are related as index 2 subgroups in each box. The 4 boxes are related as 3 and 5 index subgroups. The regular 120-gon has Dih120 dihedral symmetry, order 240, represented by 120 lines of reflection. Dih120 has 15 dihedral subgroups: (Dih60, Dih30, Dih15), (Dih40, Dih20, Dih10, Dih5), (Dih24, Dih12, Dih6, Dih3), and (Dih8, Dih4, Dih2, Dih1). And 16 more cyclic symmetries: (Z120, Z60, Z30, Z15), (Z40, Z20, Z10, Z5), (Z24, Z12, Z6, Z3), and (Z8, Z4, Z2, Z1), with Zn representing π/n radian rotational symmetry.
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The symmetries of a regular enneacontagon, divided into 6 subgraphs containing index 2 subgroups. Each symmetry within a subgraph is related to the lower connected subgraphs by index 3 or 5. The regular enneacontagon has Dih90 dihedral symmetry, order 180, represented by 90 lines of reflection. Dih90 has 11 dihedral subgroups: Dih45, (Dih30, Dih15), (Dih18, Dih9), (Dih10, Dih5), (Dih6, Dih3), and (Dih2, Dih1). And 12 more cyclic symmetries: (Z90, Z45), (Z30, Z15), (Z18, Z9), (Z10, Z5), (Z6, Z3), and (Z2, Z1), with Zn representing π/n radian rotational symmetry.
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The symmetries of a regular 360-gon. Symmetries are related as index 2 subgroups in each box. The 6 boxes are related as 3 and 5 index subgroups. The regular 360-gon has Dih360 dihedral symmetry, order 720, represented by 360 lines of reflection. Dih360 has 23 dihedral subgroups: (Dih180, Dih90, Dih45), (Dih120, Dih60, Dih30, Dih15), (Dih72, Dih36, Dih18, Dih9), (Dih40, Dih20, Dih10, Dih5), (Dih24, Dih12, Dih6, Dih3), and (Dih8, Dih4, Dih2, Dih1). And 24 more cyclic symmetries: (Z360, Z180, Z90, Z45), (Z120, Z60, Z30, Z15), (Z72, Z36, Z18, Z9), (Z40, Z20, Z10, Z5), (Z24, Z12, Z6, Z3), and (Z8, Z4, Z2,Z1), with Zn representing π/n radian rotational symmetry.
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The symmetries of a regular myriagon. Light blue lines show subgroups of index 2. The 5 boxed subgraphs are positionally related by index 5 subgroups. The regular myriagon has Dih10000 dihedral symmetry, order 20000, represented by 10000 lines of reflection. Dih100 has 24 dihedral subgroups: (Dih5000, Dih2500, Dih1250, Dih625), (Dih2000, Dih1000, Dih500, Dih250, Dih125), (Dih400, Dih200, Dih100, Dih50, Dih25), (Dih80, Dih40, Dih20, Dih10, Dih5), and (Dih16, Dih8, Dih4, Dih2, Dih1). It also has 25 more cyclic symmetries as subgroups: (Z10000, Z5000, Z2500, Z1250, Z625), (Z2000, Z1000, Z500, Z250, Z125), (Z400, Z200, Z100, Z50, Z25), (Z80, Z40, Z20, Z10), and (Z16, Z8, Z4, Z2, Z1), with Zn representing π/n radian rotational symmetry.
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The township is located in the southern corner of Carbon County and is bordered by Lehigh County to the south and Schuylkill County to the west. Older USGS topographic maps show the township in a region known as the Mahoning Hills, a geologically chaotic series of hilltops surmounting a long upland more cyclic in altitude than nearby valley bottoms. The township is drained by the Lehigh River, which flows along its northeastern boundary, with the largest tributary in the township being Lizard Creek. The southern boundary of the township follows the crest of Blue Mountain, a prominent ridge that runs across the eastern half of the state and reaches an elevation of in this area.
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Like most monosaccharides with five or more carbons, each aldohexose or 2-ketohexose also exists in one or more cyclic (closed-chain) forms, derived from the open-chain form by an internal rearrangement between the carbonyl group and one of the hydroxyl groups. The reaction turns the =O group into an hydroxyl, and the hydroxyl into an ether bridge (–O–) between the two carbon atoms, thus creating a ring with one oxygen atom and four or five carbons. If the cycle has five carbon atoms (six atoms in total), the closed form is called a pyranose, after the cyclic ether tetrahydropyran, that has the same ring. If the cycle has four carbon atoms (five in total), the form is called furanose after the compound tetrahydrofuran.
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Primatologist Frans de Waal states bonobos are capable of altruism, compassion, empathy, kindness, patience, and sensitivity, and described "bonobo society" as a "gynecocracy". Primatologists who have studied bonobos in the wild have documented a wide range of behaviors, including aggressive behavior and more cyclic sexual behavior similar to chimpanzees, even though bonobos show more sexual behavior in a greater variety of relationships. An analysis of female bonding among wild bonobos by Takeshi Furuichi stresses female sexuality and shows how female bonobos spend much more time in estrus than female chimpanzees. Some primatologists have argued that de Waal's data reflect only the behavior of captive bonobos, suggesting that wild bonobos show levels of aggression closer to what is found among chimpanzees.
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The regular megagon has Dih1000000 dihedral symmetry, order 2000000, represented by 1000000 lines of reflection. Dih1000000 has 48 dihedral subgroups: (Dih500000, Dih250000, Dih125000, Dih62500, Dih31250, Dih15625), (Dih200000, Dih100000, Dih50000, Dih25000, Dih12500, Dih6250, Dih3125), (Dih40000, Dih20000, Dih10000, Dih5000, Dih2500, Dih1250, Dih625), (Dih8000, Dih4000, Dih2000, Dih1000, Dih500, Dih250, Dih125, Dih1600, Dih800, Dih400, Dih200, Dih100, Dih50, Dih25), (Dih320, Dih160, Dih80, Dih40, Dih20, Dih10, Dih5), and (Dih64, Dih32, Dih16, Dih8, Dih4, Dih2, Dih1). It also has 49 more cyclic symmetries as subgroups: (Z1000000, Z500000, Z250000, Z125000, Z62500, Z31250, Z15625), (Z200000, Z100000, Z50000, Z25000, Z12500, Z6250, Z3125), (Z40000, Z20000, Z10000, Z5000, Z2500, Z1250, Z625), (Z8000, Z4000, Z2000, Z1000, Z500, Z250, Z125), (Z1600, Z800, Z400, Z200, Z100, Z50, Z25), (Z320, Z160, Z80, Z40, Z20, Z10, Z5), and (Z64, Z32, Z16, Z8, Z4, Z2, Z1), with Zn representing π/n radian rotational symmetry. John Conway labels these lower symmetries with a letter and order of the symmetry follows the letter.
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