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8-fold and from
In this view, a 3D quasicrystal with 8-fold rotation symmetry might be described as the projection of a slab cut from a 4D lattice.
This 4-fold and 8-fold periodicity in the structure of manifolds is related to the 4-fold periodicity of L-theory and the 8-fold periodicity of real topological K-theory, which is known as Bott periodicity – note further that real K-theory is 4-fold periodic away from 2.

8-fold and same
Clifford algebras exhibit a 2-fold periodicity over the complex numbers and an 8-fold periodicity over the real numbers, which is related to the same periodicities for homotopy groups of the stable unitary group and stable orthogonal group, and is called Bott periodicity.
The same construction can be repeated with the new octagon, and again and again until the distance between lattice points is as small as we like ; thus no discrete lattice can have 8-fold symmetry.

8-fold and is
However, it is projected that man's potential to pollute will increase 6 to 8-fold in the next 50 years.
Diabetes mellitus type 2 is associated with a 2. 8-fold higher risk.
The Rowland circle geometry ensures that the slits are both in focus, but in order for the Bragg condition to be met at all points, the crystal must first be bent to a radius of 2R ( where R is the radius of the Rowland circle ), then ground to a radius of R. This arrangement allows higher intensities ( typically 8-fold ) with higher resolution ( typically 4-fold ) and lower background.
Ovarian cancer is associated with age, family history of ovarian cancer ( 9. 8-fold higher risk ), anaemia ( 2. 3-fold higher ), abdominal pain ( sevenfold higher ), abdominal distension ( 23-fold higher ), rectal bleeding ( twofold higher ), postmenopausal bleeding ( 6. 6-fold higher ), appetite loss ( 5. 2-fold higher ), and weight loss ( twofold higher ).
which yields the consequence that KO-theory is an 8-fold periodic theory.
The connection is explained by the geometric model of loop spaces approach to Bott periodicity: there 2-fold / 8-fold periodic embeddings of the classical groups in each other ( corresponding to isomorphism groups of Clifford algebras ), and their successive quotients are symmetric spaces which are homotopy equivalent to the loop spaces of the unitary / orthogonal group.
Projecting a slab of hypercubes along the first two dimensions of the new coordinates produces an Ammann – Beenker tiling ( another such tiling is produced by projecting along the last two dimensions ), which therefore also has 8-fold rotational symmetry on average.

8-fold and have
Thus, for example, wallpaper and crystals cannot have 8-fold rotational symmetry.

8-fold and ),
Lattices restrict polygons Compatible: 6-fold ( 3-fold ), 4-fold ( 2-fold ) Incompatible: 8-fold, 5-fold

system and pa
" Great Perfection " variously indicates the texts ( āgama, lung ) and oral instructions ( upadeśa, man ngag ) that indicate the nature of enlightened wisdom ( rdzogs chen gyi gzhung dang man ngag ), the verbal conventions of those texts ( rdzogs chen gyi chos skad ), the yogis who meditate according to those texts and instructions ( rdzogs chen gyi rnal < nowiki >'</ nowiki > byor pa ), a famous monastery where the Great Perfection was practiced by monks and yogis ( rdzogs chen dgon sde ), and the philosophical system ( siddhānta, grub mtha < nowiki >'</ nowiki >) or vision ( darśana, lta ba ) of the Great Perfection.
Hence the pa is an equational formal system, like the many algebraic structures, including Boolean algebra, that are varieties.
It is considered that after the depletion of natural resources on the island started warfare and inhabitants of Rapa Iti developed a system of 14 fortified settlements (" pa " or " pare ", a type of fort ) on peaks and clifftops.
A small set of words of Greek origin and ending in-ma, "- pa ", or "- ta " are masculine: problema (" problem "), lema (" lemma, motto "), tema (" theme, topic "), sistema (" system "), telegrama (" telegram "), mapa (" map "), poeta (" poet "), planeta (" planet "), etc.

system and yin
Wade – Giles (; ; Wade – Giles: Wei < sup > 2 </ sup >- Shi < sup > 4 </ sup > P ' in < sup > 1 </ sup >- yin < sup > 1 </ sup >), sometimes abbreviated Wade, is a romanization system for the Mandarin Chinese language.
It developed from a system produced by Thomas Wade during the mid-19th century ( ; Wade – Giles: Wei < sup > 1 </ sup >- t ' o < sup > 3 </ sup >- ma < sup > 3 </ sup > P ' in < sup > 1 </ sup >- yin < sup > 1 </ sup >), and was given completed form with Herbert Giles ' Chinese – English dictionary of 1892.
The TCM theory for the selection of such points and their effectiveness is that they work by stimulating the meridian system to bring about relief by rebalancing yin, yang and qi ( also spelled " chi ").
There have been a few additions to this system in comparison with Usui Shiki Ryōhō by Rand, such as a modified attunement method that incorporates the Violet Breath, the use of the Tibetan Master and kundalini fire symbols along with the four traditional Usui symbols, the hui yin position ( located in the perineum ), and also the microcosmic orbit.
The system of classical Chinese medicine usually revolved around the theory of yin and yang, and the five phases.
There were many competing views within the Neo-Confucian community, but overall, a system emerged that resembled both Buddhist and Taoist ( Daoist ) thought of the time and some of the ideas expressed in the I Ching ( Book of Changes ) as well as other yin yang theories associated with the Taiji symbol ( Taijitu ).
An imbalance of yin or yang chi in their system can lead to dire consequences.
Traditional Chinese medicine has more than 4, 000 years of history as a system of medicine that is based on a philosophical concept of balance ( yin and yang, Qi, Blood, Jing, Bodily fluids, the Five Elements, the emotions, and the spirit ) approach to health that is rooted in Taoist philosophy and Chinese culture.
The zàng-fǔ are also connected to the twelve standard meridians-each yang meridian is attached to a fǔ organ and each yin meridian is attached to a zàng. They are five system of Heart, Liver, Spleen, Lung, Kidney Deng Yu邓宇等 , TCM Fractal Sets中医分形集 , Journal of Mathematical Medicine << 数理医药学杂志 >> , 1999 , 12 ( 3 ), 264-265 </ ref >
The Traditional Chinese Medicine ( TCM ) theory for the selection of such points and their effectiveness is that they work by stimulating the meridian system to bring about relief by rebalancing yin, yang and qi ( also spelled " chi " or " ki ").

system and ("
In practice, the Articles were in use beginning in 1777 ; the final draft of the Articles served as the de facto system of government used by the Congress (" the United States in Congress assembled ") until it became de jure by final ratification on March 1, 1781 ; at which point Congress became the Congress of the Confederation.
Under his command, a modern update of the doctrinal system called Bewegungskrieg (" maneuver warfare ") and its associated leadership system called Auftragstaktik (" mission tactics "; i. e., units are assigned missions ; local commanders decide how to achieve those missions ) was developed, which was a critical advantage and a major reason for the success of blitzkrieg.
What began with rules (" canons ") adopted by the Apostles at the Council of Jerusalem in the first century has developed into a highly complex legal system encapsulating not just norms of the New Testament, but some elements of the Hebrew ( Old Testament ), Roman, Visigothic, Saxon, and Celtic legal traditions.
Another " ordinal " date system (" ordinal " in the sense of advancing in value by one as the date advances by one day ) is in common use in astronomical calculations and referencing and uses the same name as this " logistics " system.
Diocletian's reforms shifted the governors ' main function to that of the presiding official in the lower courts: whereas in the early Empire military and judicial functions were the function of governor, and procurators had supervised taxation ; under the new system vicarii and governors were responsible for justice and taxation, and a new class of duces (" dukes "), acting independently of the civil service, had military command.
Euclidean geometry is an axiomatic system, in which all theorems (" true statements ") are derived from a small number of axioms.
In thermodynamics, the term exothermic (" outside heating ") describes a process or reaction that releases energy from the system, usually in the form of heat, but also in the form of light ( e. g. a spark, flame, or explosion ), electricity ( e. g. a battery ), or sound ( e. g. burning hydrogen ).
During what is often referred to as the Islamic Golden Age, in order for a scholar to be qualified to issue a fatwā, it was required that he obtained an ijazat attadris wa ' l-ifta (" license to teach and issue legal opinions ") from a Madrassah in the medieval Islamic legal education system, which was developed by the 9th century during the formation of the Madh ' hab legal schools.
The formal rule of the proportionally more numerous than in other European countries nobility constituted an early democratic system (" a sophisticated noble democracy "), in contrast to the absolute monarchies prevalent at that time in the rest of Europe.
He improved Nicolas Chuquet's long scale system by adding names for intermediate numbers (" milliards " instead of " thousand million ", etc.
* ISA platform (" NOS "), an operating system software for Nokia mobile telephones
An EU case concerning Italy extended this principle to the rest of the EU in that it stated that, " The principle of trade union freedom in the Italian system implies recognition of the right of the individual not to belong to any trade union (" negative " freedom of association / trade union freedom ), and the unlawfulness of discrimination liable to cause harm to non-unionized employees.
Money laundering often occurs in three steps: first, cash is introduced into the financial system by some means (" placement "), the second involves carrying out complex financial transactions in order to camouflage the illegal source (" layering "), and the final step entails acquiring wealth generated from the transactions of the illicit funds (" integration ").
A common aiming system is to alternate solid (" ball ") rounds and tracer ammunition rounds ( usually one tracer round for every four ball rounds ), so shooters can see the trajectory and " walk " the fire into the target, and direct the fire of other soldiers.
The number system of the English language is of this type (" three hundred four "), as are those of other spoken languages, regardless of what written systems they have adopted.
Aside from the immediate game mission, the game also contains an artificial life (" A-Life ") system, a precursor to the Chao featured in Sonic Team's later Sonic Adventure titles.
The national road system (" Routes Nationale ") are numbered and prefixed with " RN ", as RN1.
" A complete system of outcomes for a subject area normally includes everything from mere recitation of fact (" Students will name three tragedies written by Shakespeare ") to complex analysis and interpretation (" Student will analyze the social context of a Shakespearean tragedy in an essay ").

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