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Page "Klein bottle" ¶ 40
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immersion and circle
Sometimes it is impossible to remove the double-points via an isotopy — consider for example the figure-8 immersion of the circle in the plane ^^ In this case, one needs to introduce a local double point.

immersion and is
A third, one of at least equal and perhaps even greater importance, is now being traversed: American immersion and involvement in world affairs.
Brain tissue in its natural state is too soft to work with, but it can be hardened by immersion in alcohol or other fixatives, and then sliced apart for examination of the interior.
An attempt by the French government to incorporate the independent Breton-language immersion schools ( called Diwan ) into the state education system was blocked by the French Constitutional Council on the grounds that, as the 1992 amendment to the Constitution of the 5th Republic states that French is the language of the Republic, no other language may be used as a language of instruction in state schools.
Although the present-day, loose use of the term " cyberspace " no longer implies or suggests immersion in a virtual reality, current technology allows the integration of a number of capabilities ( sensors, signals, connections, transmissions, processors, and controllers ) sufficient to generate a virtual interactive experience that is accessible regardless of a geographic location.
This is by belief in the gospel, through repentance, and through baptism by total immersion in water.
Some Essene rituals, such as daily immersion in the mikveh, coincide with contemporary Hasidic practices ; some historians had also suggested, that name " Essene " is a Hellenized form of the word " Hasidim " or " Hasid " (" pious ones ").
A technical detail not discussed here but required to complete the proof is immersion reducibility.
In Role Playing Games, a false document is often created by a Game Master as a mean to achieve more immersion in the game, often in conjunction with props.
This is an immersion of the Klein bottle in three dimensions.
This immersion is useful for visualizing many properties of the Klein bottle.
For example, the Klein bottle has no boundary, where the surface stops abruptly, and it is non-orientable, as reflected in the one-sidedness of the immersion.
The parameterization of the 3-dimensional immersion of the bottle itself is much more complicated.
If a person is baptized in extremis ( i. e., when in fear of immediate death ), only the actual threefold immersion together with the scriptural words () may be performed by a layperson or deacon.
High-index immersion lithography is the newest extension of 193 nm lithography to be considered.
* Immersion Lithography Article — Shows how depth-of-focus is increased with immersion lithography
Eastern Orthodox and Eastern Catholic traditions normally practise total immersion and baptise babies in a font and this practice is also the first method listed in the Baptismal ritual of the Roman Catholic although pouring is the standard practice within the Latin branch of Catholicism.
* Some claim that there is no evidence that the early church performed ( or excluded ) paedobaptism, and only that it performed credo baptism by immersion.
Ritual immersion in a small pool of water known as a mikvah is required.
Adorno's posthumously published Aesthetic Theory, which he planned on dedicating to Samuel Beckett, is the culmination of a lifelong commitment to modern art which attempts to revoke the " fatal separation " of feeling and understanding long demanded by the history of philosophy and explode the privilege aesthetics accords to content over form and contemplation over immersion.
Because rubber does not dissolve easily, the material is finely divided by shredding prior to its immersion.
Parallax scrolling is a special scrolling technique in computer graphics, wherein background images move by the camera slower than foreground images, creating an illusion of depth in a 2D video game and adding to the immersion.
Then for arbitrary ε > 0 there is an embedding ( or immersion ) ƒ < sub > ε </ sub >: M < sup > m </ sup > → R < sup > n </ sup > which is

immersion and .
Under the influence of several younger scholars, a new approach came to predominate among British anthropologists, concerned with analyzing how societies held together in the present ( synchronic analysis, rather than diachronic or historical analysis ), and emphasizing long-term ( one to several years ) immersion fieldwork.
Housman obtained a first in classical Moderations in 1879, but his immersion in textual analysis, particularly with Propertius, led him to neglect ancient history and philosophy, which formed part of the Greats curriculum, and thus he failed to obtain a degree.
While John the Baptist's use of a deep river for his baptism suggests immersion, pictorial and archaeological evidence of Christian baptism from the 3rd century onward indicates that a normal form was to have the candidate stand in water while water was poured over the upper body.
At least 10 – 20 high power ( 1000 × oil immersion ) fields are counted and an average determined.
In 1977, Diwan schools were founded to teach Breton by immersion.
The Diwan schools were founded in 1977 to teach Breton by immersion.
In the Baptism service the signing with the cross was moved until after the baptism and the exorcism, the anointing, the putting on of the chrysom robe and the triple immersion were omitted.
The freezing of foods and biotechnology products, like vaccines, requires nitrogen in blast freezing or immersion freezing systems.
CUNY students who are not directly admitted to the senior colleges because they do not meet academic admissions standards can choose to enroll in an associate degree program at one of CUNY ’ s community colleges, take part in " immersion " programs offered in the summer and winter months, find public or private tutoring, or participate in the one-semester " Prelude to Success " program taught by community college faculty at senior colleges.
Only baptised ( by complete immersion in water ) believers are considered members of the ecclesia.
Throughout this immersion in physics, Hilbert worked on putting rigor into the mathematics of physics.
Baffled, Archimedes took a relaxing immersion bath and observed from the rise of the water upon entering that he could calculate the volume of the gold wreath through the displacement of the water.
While the reformers and the Baptists shared the same beliefs in baptism by immersion and congregational polity, it was soon clear that the reformers were not traditional Baptists.
Most Disciple congregations practice believer's baptism in the form of immersion, believing it to be the form used in the New Testament.
Bowie's love of acting led his total immersion in the characters he created for his music.
Being much fewer in number than the Pharisees and the Sadducees ( the other two major sects at the time ), the Essenes lived in various cities but congregated in communal life dedicated to asceticism, voluntary poverty, daily immersion, and abstinence from worldly pleasures, including ( for some groups ) celibacy.
In video games, the adventure genre has most frequently given rise to the use of false documents to create a sense of immersion.
Scholars such as Claudia Setzer have noted the differences between the rationale for the death of John the Baptist presented by Josephus, and the theological variations ( e. g. whether immersion in water can result in the forgiveness of sins, etc.

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