Manifold System is a geographic information system (GIS) software package developed by manifold.net that runs on Microsoft Windows. The GIS software competes with ESRI and MapInfo GIS products. Manifold 7.00 handles both vector and raster data, includes spatial SQL, a built-in Internet Map Server (IMS), and other general GIS features. Manifold System has an active user community with a mailing list and online forums.
Manifold(s) include connection points for tie-in of the flowline(s) and/or umbilical back to the host facility, as well as connection points for the individual production wells. Manifolds require some type of framework to provide structural support of the various piping and valves, etc. Sometimes this framework and the manifold are incorporated into the towhead of a pipeline bundle, in which case this is commonly referred to as a PLEM. Alternatively, a separately installed template may be provided to support the manifold as described below.
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A manifold is a system of headers and branched piping that can be used to gather or distribute fluids, as desired. Typically manifolds include valves for controlling the on/off flow of fluids, and may also include other flow control devices (e.g. chokes) if these are not mounted on the individual subsea trees.
In this paper, we propose a generalized Unsupervised Manifold Alignment (GUMA) method to build the connections between different but correlated datasets without any known correspondences. Based on the assumption that datasets of the same theme usually have similar manifold structures, GUMA is formulated into an explicit integer optimization problem considering the structure matching and preserving criteria, as well as the feature comparability of the corresponding points in the mutual embedding space. The main benefits of this model include: (1) simultaneous discovery and alignment of manifold structures; (2) fully unsupervised matching without any pre-specified correspondences; (3) efficient iterative alignment without computations in all permutation cases. Experimental results on dataset matching and real-world applications demonstrate the effectiveness and the practicability of our manifold alignment method.
I currently have the book Dynamical Systems with Applications Using Mathematica by Stephen Lynch. I used it in an undergrad introductory course for dynamical systems, but it's extremely terse. As an example, one section of the book dropped the term 'manifold' at one point without giving a definition for the term. This is only one example; the rest of the book is similarly sparse on information.
If you're looking for something a little more advanced, some suggestions would be Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations by Paul Glendinning or Introduction to Applied Nonlinear Dynamical Systems and Chaos by Stephen Wiggins. These two texts include all of the topics above, along with much more discussion about manifolds and their stability.
Many neurons in the brain, such as place cells in the rodent hippocampus, have localized receptive fields, i.e., they respond to a small neighborhood of stimulus space. What is the functional significance of such representations and how can they arise? Here, we propose that localized receptive fields emerge in similarity-preserving networks of rectifying neurons that learn low-dimensional manifolds populated by sensory inputs. Numerical simulations of such networks on standard datasets yield manifold-tiling localized receptive fields. More generally, we show analytically that, for data lying on symmetric manifolds, optimal solutions of objectives, from which similarity-preserving networks are derived, have localized receptive fields. Therefore, nonnegative similarity-preserving mapping (NSM) implemented by neural networks can model representations of continuous manifolds in the brain.
Because the stock turbo inlet is integrated into the factory intake manifold on the 2015 and up model year trucks a new turbo inlet is necessary to install any form of new intake manifold. The Pusher Powerflow Turbo Inlet design results in a 15% increase in airflow over stock while still maintaining the factory mounting points and CCV plumbing.
The best part - upgrading your engine with our Powerflow intake manifold delivers maximum and perfectly equalized air flow to each cylinder head while also providing provisions for your factory emissions equipment.
Manual operations provide an effortless mechanism for designing a manifold block by quickly and easily reworking the automatic solutions by moving components and channels. Port diameters, drill lists, plug closure types and extrusion blocks are among some of the elements that can be easily adapted to match the equipment at your disposal.
This workshop was designed to optimize the creation of a hydraulic manifold block. Not only is the block designed quickly, but all required reports are also generated promptly. Similar to our auto-routing capabilities, reports can be generated automatically based on preferences. The report types available include: the drilling list, technical and production drawings containing dimensions, references, orthogonal views, component lists, and 2D hydraulic manifold circuit, all with very few clicks! A full report can also be generated. Additionally, hydraulic manifold blocks can be exported in STEP, XML and CAD formats, allowing you to send this information to your manifold manufacturer.
The object of the Editor at first was, and now has been, to show the manifold abuses of an unjust and oppressive system; to show the dire calamities it has inflicted on the country, and by what ramifications of influence it has been supported.
Thunder Creek Equipment has made a series of detailed improvements to its Multi-Tank Trailer (MTT) fuel and service platform that allows users to legally haul up to 920 gallons of diesel without a CDL or HAZMAT endorsement (Title 49 (CFR49)*. The MTT updates are highlighted by a new electric manifold that automatically shuts off tank valves after fueling to ensure legal transportation and provide protection against users accidentally leaving a valve open, which could subject them to moving violations.
Thunder Creek's MTTs are available in 460-, 690- and 920-gallon capacities that feature isolated fuel tanks configured in four, six or eight individual 115-gallon, DOT-compliant tanks that are conjoined by a manifold to a single pump. Additionally, each MTT is fully customizable with a variety of maintenance and fuel handling solutions, including bulk DEF storage and closed-system dispensing, which ensures industry-leading DEF quality.
Here's what I'm pulling from the 2016 edition of NFPA 13. I'm interested in your take - because if it needs to be there it needs to be there - I just haven't come across check valves in all wet systems before.
The definition of system riser -
3.5.13 System Riser. The aboveground horizontal or vertical
pipe between the water supply and the mains (cross or feed)
that contains a control valve (either directly or within its supply
pipe), a pressure gauge, a main drain, and a waterflow
alarm device.
I'm used to seeing a single backflow preventer serve a multi-riser manifold, but without a check valve on each wet system.
Allow for at least 20" (50cm) of clearance above the final PVC Casing 'stick-up' and the underside of your protective outer enclosure. This will ensure that you do not pinch the monitoring tubes and cables above the completed manifold.
The Manifold plugin analyzes your project's build configuration to dynamically apply features, such as support for type-safe reflection via @Jailbreak. See the manifold-ext setup instructions. In Gradle terms, to support @Jailbreak your project must have an implementation dependency on manifold-ext-rt and an annotationProcessor dependency on manifold-ext. Additionally, you need to add the -Xplugin:Manifold compiler argument. This info is detailed in the setup docs.
IV) The tangent plane $\{w|v=0\}$ at $w=0$ corresponds to marginal directions. We need the higher-order information $f$ to decide if they are stable or unstable directions. If $h\equiv 0$, we can choose the tangent plane $\{w|v=0\}$ as the center manifold. For general $h$, the center manifold $C:=\{w|v=V(u)\}$ is a deformation of the tangent plane $\{w|v=0\}$. The tangent plane $\{w|v=0\}$ is only a precise substitute for the center manifold $C$ when $u=0$. Intuitively, the center manifold $C$ by construction becomes curved by encoding the higher-order information $f$ in such a way that points $w\notin C$ in a neighborhood of $0$ are attracted to (repelled from) $C$, for time $t$ going to the future (coming from the past), in accordance with just the linear predictions of the $Cw$ term, respectively. In particular, the effects of the $h$ terms in the second equation have already been taking into account in the definition of the curved center manifold $C$, so that one should now only use the linear equation
TY - JOUR
AU - Alonso-Blanco, R. J.
AU - Muoz-Daz, J.
TI - The contact system for $A$-jet manifolds
JO - Archivum Mathematicum
PY - 2004
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 040
IS - 3
SP - 233
EP - 248
AB - Jets of a manifold $M$ can be described as ideals of $\mathcal {C}^\infty (M)$. This way, all the usual processes on jets can be directly referred to that ring. By using this fact, we give a very simple construction of the contact system on jet spaces. The same way, we also define the contact system for the recently considered $A$-jet spaces, where $A$ is a Weil algebra. We will need to introduce the concept of derived algebra.
LA - eng
KW - jet; contact system; Weil algebra; Weil bundle; jet; Weil algebra; Weil bundle
UR -
ER -
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