soft question How would you explain Functional Integration to an 8 year old? Mathematics Stack Exchange

Escrito por el 25 noviembre, 2021

Assign a project manager, a scheduler, and a cost estimator; identify and provide the resources needed; define critical path items and workstreams, and get going! And there must also be a clear definition of the project manager’s authority to execute, not just someone to put into a box on an org chart. Integrations are more focused on intellectual capital, and leading and deploying that particular resource to optimize returns.

The first example of functional integration can be seen in the people of Jakarta with their Betawi ethnicity and the people of West Java with the Sundanese. The two tribes carry out functional integration to meet the supply and availability of food in their respective regions. In addition, the industry in West Java can develop because of the support that comes from Jakarta. Functional integrals over manifolds are sometimes approximated by a lattice, but there is no guarantee this will give a good approximation or even converge. The so-called renormalization group methods allow a rigorous continuum limit if the lattice theory has an ultraviolet fixed point. In fact, the direct naïve approximation by a lattice can have its pitfalls, because, for example, the fermion doubling problem, among other things.

Functional Integration Benefits

The probability for the class of paths can be found by multiplying the probabilities of starting in one region and then being at the next. The Wiener measure can be developed by considering the limit of many small regions. Where we have tacitly assumed we can interchange the infinite sum with the functional integral. In the industrial age, growth meant constantly expanding into new products and services, broadening the portfolios of businesses and continuously finding new things to sell to consumers. This was the process known as horizontal integration, which since the 1880s has seen countless companies bankrupted or acquired by larger corporations looking to find economies of scale. Not only that, with functional integration, we will get used to increasing the nature of nationalism.

  • Remember, though, that it’s easier and quicker to prune a tree – i.e., cut costs than it is to grow one – i.e., increase #revenues, so be careful not to cut into the part you’ll need to grow the revenue.
  • They developed a rigorous method (now known as the Wiener measure) for assigning a probability to a particle’s random path.
  • Functional integral is, by definition, an integral over a space of functions.
  • This was the process known as horizontal integration, which since the 1880s has seen countless companies bankrupted or acquired by larger corporations looking to find economies of scale.

Neuroimaging studies of large numbers of these patients could yield brain activation markers for specific psychiatric illnesses, and also aid in the development of therapeutics and animal models. While a true baseline of brain function in psychiatric patients is near-impossible to obtain, reference values can still be measured by comparing images gathered from patients before and after treatment. One of motivations is in physics (quantum mechanics), where you sum over all possible trajectories that a system could follow to get a probability of finding it in specific place (knowing probability distribution at earlier time). I’ve heard this approach is also used in probability theory to describe brownian motions. Functional integration is related to cooperation that can have a good economic impact. However, it turns out that functional integration has benefits not related to economics.
If food commodities cannot be fulfilled, the prices of food ingredients can soar, so that people will find it difficult to get decent food. Meanwhile, in terms of industry, the industry will not develop without the help of the nearby regions. Typically the period after the deal closes is filled with confusion and uncertainty as some careers can be shunted, and others open up. Some people mistake this shock and excitement with resistance to change, but actually, that’s often not the case.


When the availability is met, it is a sign that the community’s needs in fulfilling balanced nutrition must be met. So, do not underestimate the importance of putting aside capital and prioritizing the needs of the community.
Therefore, the Bugis and the Javanese are working together to meet the needs of the local community. The Bugis will take agricultural products from the Javanese and the Javanese will take marine products from the Bugis. The Aceh region is very well known for the quality of coffee beans that have a distinctive aroma and taste.

Exported products indicate that these products are already known by the world community. Social media has become a liaison or media to introduce these products to the world community. The increase in state income makes the country have foreign exchange reserves that can be used to develop the country. Functional integration has several benefits that can be felt directly by the community.

The algebraic properties of functional integrals are used to develop series used to calculate properties in quantum electrodynamics and the standard model of particle physics. With functional integration, global competition can be overcome immediately. For example, in terms of promoting a product, it can be done through social media where the whole world will know the products sold in the world market. The more people know about domestic products, the greater the opportunity to export goods, so that the state treasury can increase.
For example, Aceh is well known for its coffee quality and West Java is known for its quality tea. To meet the need for coffee, West Java ordered coffee from Aceh and to meet the need for tea, Aceh ordered it from West Java. The existence of this cooperation not only creates peace, but also has a positive impact on society or a region, especially in the economic field. An area or community will benefit if the goods derived from the cooperation can be sold or sold in the market. The more often you spread the advantages of a product to consumers, the greater the chance if the product is selling well in the market. Not only global competition is getting tougher, technology is also changing to become faster and more sophisticated.
The two complementary regions will make tea and coffee in each region not run out. These two different tribes prove that with differences they can work together instead of bringing each other down. With the cooperation of the two tribes, the needs of the community, be it food or work, can be met. In this case, the intended functions are commodities and food availability and industrial development.

functional integration definition

However, the rigorous theory of functional integration that he developed is not far-reaching enough to accommodate all the physical applications of the Feynman path integral. As of August 2003, no rigorous definition of functional integration has been given which is applicable to all instances where it arises heuristically. Another way to say this is that important problems whose solutions are obtained by heuristic methods involving functional integrals have eluded formulation in terms of any of the existing rigorous definitions of functional integration. Now, each term in the sum can be evaluated according to the Gaussian integral article.

With the presence of social media, it can present a  startup  in the digital world. Social integration between social media and digital developments can build  start-ups  that are able to compete with older companies. The birth  of this startup  will open up job opportunities for the community. Therefore, the Aceh region needs quality tea from West Java so that the availability of tea in Aceh does not run out. Likewise, the West Java region requires coffee with a distinctive aroma and taste so that it takes coffee from the Aceh region.
definition of functional integration
After the first example is the difference between two tribes, now the second example is the difference between two regions, namely the Aceh region and the West Java region. The two regions carry out functional integration with the aim of meeting the needs of tea and coffee. Tea and coffee are drinks that are already known by the people of Indonesia, from teenagers to adults. Therefore, the supply of tea and coffee in an area must be balanced so as not to experience a shortage.
definition of functional integration
In an ordinary integral (in the sense of Lebesgue integration) there is a function to be integrated (the integrand) and a region of space over which to integrate the function (the domain of integration). The process of integration consists of adding up the values of the integrand for each point of the domain of integration. Making this procedure rigorous requires a limiting procedure, where the domain of integration is divided into smaller and smaller regions. For each small region, the value of the integrand cannot vary much, so it may be replaced by a single value. Making this procedure rigorous poses challenges that continue to be topics of current research.

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