advanced_tools:connections
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advanced_tools:connections [2017/11/15 10:55] jakobadmin [Student] |
advanced_tools:connections [2025/01/11 17:09] (current) 91.243.89.241 |
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| - | ====== Connections ====== | + | Just like you got this message, we can submit your message to millions of contact forms. |
| - | <tabbox Why is it interesting?> | + | Looking for cost-effective clients/visitors/leads? |
| + | We specialize in delivering your messages directly through business contact forms, ensuring your message lands in the right inboxes. | ||
| - | <blockquote>Our interest in connections was originally motivated (in | + | Start reaching 100M potential customers today, all starting from just $22 only! |
| - | Chapter 0) by the suggestion that such a structure would provide the unique | + | |
| - | path lifting procedure whereby one might keep track of the evolution of a | + | |
| - | particle’s internal state (e.g., phase) as it traverses the field established by | + | |
| - | some other particle (e.g., the electromagnetic field of a magnetic monopole). | + | |
| - | <cite>Topology, Geometry and Gauge Fields: Foundations by Naber</cite></blockquote> | + | |
| - | <tabbox Layman> | + | We’ll send your message to connect with millions of website owners/managers, that is your potential customers, driving quality traffic and leads to your site. |
| + | Our solution ensures your message is delivered directly, starting at just USD22. | ||
| - | <note tip> | + | Let’s strengthen brand awareness together! |
| - | Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. | + | Need more brand visibility? |
| - | </note> | + | |
| - | + | ||
| - | <tabbox Student> | + | |
| - | * For a nice explanation of connections with pictures, see page 26 and 27 here:http://gregnaber.com/wp-content/uploads/GAUGE-FIELDS-AND-GEOMETRY-A-PICTURE-BOOK.pdf | + | Pricing: |
| - | <tabbox Researcher> | + | Starting from just $22. |
| - | <blockquote>The wavefunction of the particle takes values in some vector space V (for our purposes, V | + | |
| - | will be some C k ). The particle is coupled to (i.e., experiences the effects of) | + | |
| - | a gauge field which is represented by a connection on a principal G-bundle. | + | |
| - | The connection describes (via Theorem 6.1.4) the evolution of the particle’s | + | |
| - | internal state. The response of the wavefunction at each point to a gauge | + | |
| - | transformation will be specified by a left action (representation) of G on V. | + | |
| - | V and this left action of G on V determine an “associated vector bundle” | + | |
| - | obtained by replacing the G-fibers of the principal bundle with copies of V. | + | |
| - | The local cross-sections of this bundle then represent local wavefunctions | + | |
| - | of the particle coupled to the gauge field. Because of the manner in which | + | |
| - | the local wavefunctions respond to a gauge transformation the corresponding | + | |
| - | local cross-sections piece together to give a global cross-section of the associated vector bundle and this, we will find, can be identified with a certain | + | |
| - | type of V-valued function on the original principal bundle space. Finally, the | + | |
| - | connection on the principal bundle representing the gauge field gives rise to | + | |
| - | a natural gauge invariant differentiation process for such wavefunctions. In | + | |
| - | terms of this derivative one can then postulate differential equations (field | + | |
| - | equations) that describe the quantitative response of the particle to the gauge | + | |
| - | field (selecting these equations is, of course, the business of the physicists).<cite>Topology, Geometry and Gauge Fields: Foundations by Naber</cite></blockquote> | + | |
| - | + | ||
| - | <tabbox Examples> | + | |
| - | --> Example1# | + | ++++ Check out: https://bit.ly/messagesinbulk |
| - | |||
| - | <-- | ||
| - | --> Example2:# | ||
| - | |||
| - | <-- | ||
| - | <tabbox FAQ> | ||
| - | | ||
| - | <tabbox History> | ||
| - | |||
| - | <blockquote>The historical evolution of our definition of the curvature form | ||
| - | from more familiar notions of curvature (e.g., for curves and surfaces) is not | ||
| - | easily related in a few words. Happily, Volume II of [Sp2] is a leisurely and | ||
| - | entertaining account of this very story which we heartily recommend to the | ||
| - | reader in search of motivation. | ||
| - | <cite>Topology, Geometry and Gauge Fields: Foundations by Naber</cite> | ||
| - | </blockquote> | ||
| - | [Sp2] is Spivak, M., A Comprehensive Introduction to Differential Geometry, Volumes I–V, Publish or Perish, Inc., Boston, 1979. | ||
| - | </tabbox> | ||
| + | If you wish to stop getting subsequent messages from us, simply use https://bit.ly/getdelisted | ||
advanced_tools/connections.1510739754.txt.gz · Last modified: 2017/12/04 08:01 (external edit)
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