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Category External



Generally many classical constructions which can be given inside some specific category (usually $\mathbfSet$) can be expressed in the language of category theory in terms of objects, arrows and more generally diagrams.




Category External



Once one has a such diagrammatic definition of the construction it is possible to use the same definition to other categories, providing a new version of the construction internal to the new category.


So internalization is about defining concepts in terms of diagrams in a (possibly structured) category, in such a way that once one interprets these concepts in some specific categories (usually $\mathbfSet$) they get the classical notions that have been internalized.


So the externalization of an internal data (which amounts to a diagram satisfying certain properties) in a category $\mathbf C$ is basically the corresponding diagram internal to $[\mathbf C^\textop,\mathbfSet]$.


Continuing with the example of a monoidal category $\mathbf C$, the externalization turns the data of an internal monoid $(X,X \otimes X \to X,I \to X)$ are in a monoid object $$(\hom(-,X),\hom(-,X)\times\hom(-,X) \to \hom(-,X),\hom(-,I) \to \hom(-,X))$$ in $[\mathbf C^\textop,\mathbfSet]$.


An external hard drive sits outside the main computer tower in its own enclosure. The enclosure is slightly larger than the hard drive itself, and sometimes contains a cooling fan. This portable encasement allows the user to store information on a hard drive that is not inside the computer, but rests on a tabletop or surface nearby the computer. The external hard drive is connected to the computer via a high-speed interface cable. The interface cable allows the external hard drive to communicate with the computer so that data may be passed back and forth. The most common types of interfaces are USB and Firewire.


A portable or external hard drive is quite a useful piece of equipment. It allows the user to back up or store important information separate from the main internal hard drive, which could become compromised by online or offline activities. Sensitive documents, large music files, DVD images, movies, disk images, and even a backup of the contents of your main internal hard drive, can all be kept securely and safely on an external hard drive. When you are online, you can even leave the external drive turned off.


Another advantage of an external hard drive is that it is portable and operates on a plug-and-play basis. Any computer with USB or Firewire capability will recognize the external hard drive as a storage device, and assign it a letter to designate it. The drive can then be accessed like a normal internal hard drive. It's a snap to transfer huge files back and forth from work to home, to a friend's house, or between your desktop and laptop. Just plug in the interface cable to quickly reconstruct a working environment, making your favorite programs virtually portable


Pages documenting external filters developed by the AviSynth community. External filters are either part of an AviSynth plugin (a C/C++/Assembly project compiled as a DLL) or user defined script functions.


External analysis helps connect business requirements to the supplier base in developing a strategic approach to category management. It builds on preparation and internal analysis as the foundation for excellent category management outcomes.


External analysis is a critical step in the 7 stages to business-aligned strategies that organizations should follow to develop or update their category management strategy. This series of posts summarizes the critical information from a recent CAPS whitepaper, A Playbook for Category Management.


Like the internal analysis, the external analysis stage requires detective and analytical skills to identify the current environment, threats, and opportunities for the organization's procurement playbook.


Your external analysis efforts should provide information about the market, suppliers, and competitors. The data will also provide insight into the potential cost of a good or service as well as category-related and supplier-related risks.


Market dynamics: Look at recent M&A activity, emerging entrants, disruptive trends, and the long-term forecast for the category. Use models such as Porter's Five Forces, SWOT Analysis, and PESTLE Analysis, along with consultation with stakeholders and vendors through RFIs and informal information gathering, to develop the final analysis.


With the foundation from the Preparation and Internal and External analysis stages, it's time to move to stage 4, Category Strategy Development. This step is the heart of an organization's category management approach to develop supply management and supplier relationship strategies.


The reverse, use external applications from within Emacs. Note that only OrgMode currently tries to handle this in the best possible way for each platform. Most of the others simply uses start-process. If you do that on w32 you will have to enter the application path yourself. This is an unnecessary trouble. (I guess there are similar capabilities of other OS:es but I do not know for sure.)


This page lists URIs to sites that reference back to OSGeo. Some of these can and should be managed actively by OSGeo to prevent mission, vision and link rot. Updating others might require to nudge external people, please add the corresponding contacts at the top of the respective pages.


The reason I ask is because the client appears to have organised the Product Categories as you might expect them to be organised for a product catalogue. My issue with this is that if they ever want to make modifications to accounting or inventory aspects of the Product Category they will have to modify each category when they could just modify 1 or 2 ( or less than 200 ).


As the insulation performance standards for buildings are being strengthened day by day to reduce greenhouse gases, external insulation methods such as EIFS (Exterior insulation finishing system) construction is increasing significantly. In particular, as an external cladding system for high-rise or super-high-rise buildings, aluminium composite material (ACM) with insulation, which is easy to construct and has a beautiful appearance, is commonly used.


It was constructed as a unit ACM cladding module with an insulating material attached, but the hollow layers of the vertical and horizontal parts existing at the junction between these modules were reinforced with insulating and flame retardant materials. The developed technology is a new building external wall structure and construction method that can effectively reduce heat loss and fundamentally block the spread of fire by filling the existing empty space with insulation and flame retardant materials. Two effects can be expected at the same time: energy saving and fire safety performance improvement.


As a result of performance verification of the developed technology, it was confirmed that the thermal conductivity of 0.147 W/m2K. This result exceeded the building-energy regulations(Exterior wall(Direct) 0.15 W/m2K) for residential buildings in the central part of South Korea. Germany is one of the most efforts countries for the Energy Conservation Act(EnEV) regarding external wall systems. The EnEV requires all new exterior walls of heated rooms to reach a U-value of 0.45 W/mK. Compared to other countries, KICT external ACM cladding technology is overcome severe regulation.


Meanwhile, cross-checking fire tests were conducted at the BRE( Building Research Establishment), which is the world's only BS 8414-1 test certification body, a real-scale fire safety test for the external cladding system.


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Companies should tailor their risk management processes to these different risk categories. A rules-based approach is effective for managing preventable risks, whereas strategy risks require a fundamentally different approach based on open and explicit risk discussions. To anticipate and mitigate the impact of major external risks, companies can call on tools such as war-gaming and scenario analysis.


In this article, we present a new categorization of risk that allows executives to tell which risks can be managed through a rules-based model and which require alternative approaches. We examine the individual and organizational challenges inherent in generating open, constructive discussions about managing the risks related to strategic choices and argue that companies need to anchor these discussions in their strategy formulation and implementation processes. We conclude by looking at how organizations can identify and prepare for nonpreventable risks that arise externally to their strategy and operations.


The risks that companies face fall into three categories, each of which requires a different risk-management approach. Preventable risks, arising from within an organization, are monitored and controlled through rules, values, and standard compliance tools. In contrast, strategy risks and external risks require distinct processes that encourage managers to openly discuss risks and find cost-effective ways to reduce the likelihood of risk events or mitigate their consequences.


Most external risk events, however, require a different analytic approach either because their probability of occurrence is very low or because managers find it difficult to envision them during their normal strategy processes. We have identified several different sources of external risks:


External counterpulsation (ECP), commonly referred to as enhanced external counterpulsation, is a noninvasive outpatient treatment for coronary artery disease refractory to medical and/or surgical therapy. Although ECP devices are cleared by the Food and Drug Administration (FDA) for use in treating a variety of cardiac conditions, including stable or unstable angina pectoris, acute myocardial infarction and cardiogenic shock, the use of this device to treat cardiac conditions other than stable angina pectoris is not covered, since only that use has developed sufficient evidence to demonstrate its medical effectiveness. Non-coverage of hydraulic versions of these types of devices remains in force. 041b061a72


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