Indeed, the many interconnections between mathematics and art provide a wealth of material from which organizers of Math Awareness Month events can select. The list of sources on the Math Awareness web site is a great place to start.
In engineering, if you do not know what you are doing, you should not be doing it. Of course, you seldom, if ever, see either pure state. The most exciting engineering challenges lie on the boundary of theory and the unknown.
Not so unknown that they're hopeless, but not enough theory to predict the results of our decisions. Systems at this boundary often rely on emergent Structural dimension essay — high-level effects that Structural dimension essay indirectly from low-level interactions.
When designing at this boundary, the challenge lies not in constructing the system, but in understanding it. In the absence of theory, we must develop an intuition to guide our decisions.
The design process is thus one of exploration and discovery. How do we explore? If you move to a new city, you might learn the territory by walking around.
Or you might peruse a map.
But far more effective than either is both together — a street-level experience with higher-level guidance. Likewise, the most powerful way to gain insight into a system is by moving between levels of abstraction. Many designers do this instinctively. But it's easy to get stuck on the ground, experiencing concrete systems with no higher-level view.
It's also easy to get stuck in the clouds, working entirely with abstract equations or aggregate statistics. This interactive essay presents the ladder of abstraction, a technique for thinking explicitly about these levels, so a designer can move among them consciously and confidently.
I believe that an essential skill of the modern system designer will be using the interactive medium to move fluidly around the ladder of abstraction. Standing on Concrete We'll start with an in-depth example — designing the control system for a simple car simulation.
Our goal is to write a set of rules that allows the car to navigate roads, such as the one to the right. What inputs does our system have? Let's say that our car has a very simple sensor which can only detect three states: How do we design the rules for the car to follow?
We don't understand this system well enough to predict its behavior, so we need to prototype. We start with the simplest possible design, and thoroughly explore it. As we develop a feel for how it works, we'll get ideas for improvements. We try an idea, explore again, and keep iterating. Our design and our intuition should grow side-by-side.
The simplest possible rule here might be to turn right when off-road to the left, and turn left when off-road to the right. To the right is an algorithm which encodes this strategy. Click Tap to the right to find out how this algorithm behaves. I suspect we all know someone whose driving is accurately modeled by this algorithm.
Controlling Time Above, we watched the system evolve in real time. A realtime view is useful for getting a direct, visceral sense of a system's behavior, especially for systems that are meant to be experienced by humans, such as visual effects.
However, real time is also quite limiting. Imagine a film editor who has to watch the entire film from the beginning with every edit, and cannot even pause or rewind. That would be absurd. Yet, most of our interactive systems are designed in this fashion.
To understand a system, we must be able to explore it. To explore, we must be able to move freely, under our own control.The first monograph to celebrate the architectural legacy of the Guastavino family is now available in paperback.
First-generation Spanish immigrants Rafael Guastavino and his son Rafael Jr. oversaw the construction of thousands of spectacular tile vaults across the .
In sharp contrast to the brooding, restrained quietude and desolation that lie just below the surface of Working Girls, the metaphorical Dancing centers on sensual, stylized movement, a heightened sense of ebullience and theatricality, and emphatic points of emotional and physical contact.
This free Management essay on Essay: How the structure within the organization and commodity management are related is perfect for Management students to use as an example.
The structural dimensions are influenced by contingency factors consisting of the organization’s size, technology, environment, culture, and strategy & goals. Explaining what caused conflict at workplace, the effects that contribute conflict to the employees, employers and products and the answer to solve that caused the conflict at workplace.
The causes of the workplace conflict will be effected and lead to negative emotion and fairness issue that occur. Following Nahapiet and Ghoshal’s () theoretical model, communities of practice (social capital) are defined in terms of three distinct dimensions: comprised structural, relational, and cognitive.
Among the most important facets of the structural dimension is the presence or absence of social. Why did Freud supplement the Oedipal myth with the mythical narrative of the "primordial father" in Totem and Taboo (T&T)? The lesson of this second myth is the exact obverse of the Oedipus: far from having to deal with the father who, intervening as the Third, prevents direct contact with the incestuous object (thus sustaining the illusion that his annihilation would give us free access to.