EXPONENTIAL ASYMPTOTICS AND CAPILLARY WAVES∗ 1
... correspond to capillary waves on the free surface of exponentially small amplitude. We will find that we are able to determine quite simply the region of the free surface they occupy, as well as their magnitude, even for very general flow geometries. We note that exponentially small gravity-capillary ...
... correspond to capillary waves on the free surface of exponentially small amplitude. We will find that we are able to determine quite simply the region of the free surface they occupy, as well as their magnitude, even for very general flow geometries. We note that exponentially small gravity-capillary ...
Review Sheets
... a) Create a linear system to model the situation. b) If the number of quarters is 78, determine the number of nickels. 52. a) Write a linear system to model the situation: A sports club charges an initiation fee and a monthly fee. At the end of 5 months, a member had paid a total of $450. At the end ...
... a) Create a linear system to model the situation. b) If the number of quarters is 78, determine the number of nickels. 52. a) Write a linear system to model the situation: A sports club charges an initiation fee and a monthly fee. At the end of 5 months, a member had paid a total of $450. At the end ...
improving the planning solution quality by replanning
... and less than vb. The Rp sub-plan is formed by the actions between Sm and Sb. The Sm can be considered the initial state and the state Sb as the final state of the Rp sub-plan. The algorithm that determines the position of Sm and vm in the solution plan is given in figure 4. In fact, the SQUIRE meth ...
... and less than vb. The Rp sub-plan is formed by the actions between Sm and Sb. The Sm can be considered the initial state and the state Sb as the final state of the Rp sub-plan. The algorithm that determines the position of Sm and vm in the solution plan is given in figure 4. In fact, the SQUIRE meth ...
MEL 417 Lubrication Minor I
... Boundary vs. EP lubrication • BL is restricted to those systems where there is thermodynamic reversibility. A small change in temperature or concentration, up or down, brought about a related change in film coverage. • If lubricant reacts chemically with metal, then lubrication should properly be c ...
... Boundary vs. EP lubrication • BL is restricted to those systems where there is thermodynamic reversibility. A small change in temperature or concentration, up or down, brought about a related change in film coverage. • If lubricant reacts chemically with metal, then lubrication should properly be c ...
Case Adaptation by Segment Replanning for Case
... computationally expensive and the method can be unable to be used efficiently in case-based systems. Similar to ADJUST-PLAN is the replanning process called SHERPA [10]. Although not designed to improve solution quality, it finds replanned solutions whose qualities are as good as those achieved from ...
... computationally expensive and the method can be unable to be used efficiently in case-based systems. Similar to ADJUST-PLAN is the replanning process called SHERPA [10]. Although not designed to improve solution quality, it finds replanned solutions whose qualities are as good as those achieved from ...
Solutions to Exercises, Section 2.1
... 18. Let f (x) be the number of seconds in x weeks. Find a formula for f (x). solution Each minute has 60 seconds, and each hour has 60 minutes. Thus each hour has 60 × 60 seconds, or 3600 seconds. Each day has 24 hours; thus each day has 24 × 3600 seconds, or 86400 seconds. Each week has 7 days; thu ...
... 18. Let f (x) be the number of seconds in x weeks. Find a formula for f (x). solution Each minute has 60 seconds, and each hour has 60 minutes. Thus each hour has 60 × 60 seconds, or 3600 seconds. Each day has 24 hours; thus each day has 24 × 3600 seconds, or 86400 seconds. Each week has 7 days; thu ...
Muscle moment-arms: a key element in muscle
... connected by multiple joints J i . Each muscle is modelled as a massless, frictionless cable. Pulley mechanics are used to compute the points of application and direction of the forces applied by the muscles on the bodies. Accordingly, a cable applies a force at the first point of attachment, parall ...
... connected by multiple joints J i . Each muscle is modelled as a massless, frictionless cable. Pulley mechanics are used to compute the points of application and direction of the forces applied by the muscles on the bodies. Accordingly, a cable applies a force at the first point of attachment, parall ...
Schaefer–Krasnoselskii fixed point theorems using a usual measure
... of Krasnoselskii–Schaefer type, Math. Nachr. 189 (1998) 423–431] for the sum of two nonlinear operators one of them compact and the other one a strict contraction. The novelty of our results is that the involved operators need not to be weakly continuous. Finally, an example is given to illustrate o ...
... of Krasnoselskii–Schaefer type, Math. Nachr. 189 (1998) 423–431] for the sum of two nonlinear operators one of them compact and the other one a strict contraction. The novelty of our results is that the involved operators need not to be weakly continuous. Finally, an example is given to illustrate o ...
rheological interpretation of rayleigh damping
... drawn from an analytical description (complex wavenumber derived from complex modulus ...
... drawn from an analytical description (complex wavenumber derived from complex modulus ...
Talk
... It is mathematically justified. It passes a validation procedure. Validation: A fast, simplified physics code is available to produce millions of hours of ship motions that contain extreme events of interest. The “true” exceedance probabilities can be deduced (estimated) directly from the (time hist ...
... It is mathematically justified. It passes a validation procedure. Validation: A fast, simplified physics code is available to produce millions of hours of ship motions that contain extreme events of interest. The “true” exceedance probabilities can be deduced (estimated) directly from the (time hist ...
A New Torus Bounding for Line-Torus Intersection
... which leads to a quartic equation in principle, and show other possible formulations of line-torus intersection problem. These reformulations lead to a formulation of a new problem – generalized line clipping by an envelope (convex or nonconvex) of parametric closed surfaces. ...
... which leads to a quartic equation in principle, and show other possible formulations of line-torus intersection problem. These reformulations lead to a formulation of a new problem – generalized line clipping by an envelope (convex or nonconvex) of parametric closed surfaces. ...
Influence of Convection on Production from Borehole Heat
... the reservoir, which is typical for shallow and medium depth systems used mainly for heating and cooling applications. Our borehole is of a coaxial type where the water flows downwards in the outer tube and upwards in the inner tube. The coaxial borehole is used for both shallow and deep systems, a ...
... the reservoir, which is typical for shallow and medium depth systems used mainly for heating and cooling applications. Our borehole is of a coaxial type where the water flows downwards in the outer tube and upwards in the inner tube. The coaxial borehole is used for both shallow and deep systems, a ...
Computational fluid dynamics
Computational fluid dynamics, usually abbreviated as CFD, is a branch of fluid mechanics that uses numerical analysis and algorithms to solve and analyze problems that involve fluid flows. Computers are used to perform the calculations required to simulate the interaction of liquids and gases with surfaces defined by boundary conditions. With high-speed supercomputers, better solutions can be achieved. Ongoing research yields software that improves the accuracy and speed of complex simulation scenarios such as transonic or turbulent flows. Initial experimental validation of such software is performed using a wind tunnel with the final validation coming in full-scale testing, e.g. flight tests.