摘要:
The solution of a constrained optimization problem is easily solved by linearly approximating a point of interest to a first hypersurface given as a constraint and finding the extreme value of the objective function by moving a point r along a curved line having second-order osculation with the geodetic line of a hypersurface S(r)=c and passing through the point r.
摘要:
There is provided an interpolation method for the Volume-of-Fluid (VOF) applied to a two-phase incompressible fluid, in particular, which makes it possible to cause time evolution of a shape-describing function based on the Volume-of-Fluid (VOF) method while preserving a sharpness of a shape described by the function. The method defines a function F on a one-dimensional structured grid formed on a one-dimensional real region, the function being defined through definition of a value thereof at a center of each cell within the one-dimensional structured grid, as an interpolation function H. With respect to a cell of interest on the one-dimensional structured grid, a slope is set to zero if a forward difference and a backward difference of the function f have different signs, and to a value twice as large as a smaller one of absolute values of the forward difference and the backward difference if the forward difference and the backward difference have the same sign. The function F on a partial region of the one-dimensional real region determined by the cell of interest is defined by a linear function having a value of F0 at a center of the cell of interest and the slope.
摘要:
In a method for determining a minimum value of an optimization function under constraints given by equations, a set of points which satisfy the constraints is regarded as a Riemannian manifold within a finite-dimensional real-vector space, the Riemannian manifold is approached from an initial position within the real-vector space. An exponential map regarding a geodesic line equation with respect to a tangent vector on the Riemannian manifold ends at a finite order, an approximate geodesic line is generated as a one-dimensional orbit. An approximate parallel-translation is performed on the tangent vector on the Riemannian manifold and on the orbit generated in the orbit generating step by finite-order approximation of the exponential map regarding the parallel translation of the tangent vector. By repeating the above-described procedure from the position at which a minimum value is given until the minimum value on the orbit converges, the solution of the optimization problem with constraints is determined using a simple calculation procedure.
摘要:
An electron-emitting device having an electron-emitting portion between a lower potential side electrode and a higher potential side electrode which are opposite to each other, the electron-emitting device including a field correction electrode disposed adjacent to the lower potential side electrode or the higher potential side electrode and capable of independently supplying a potential.
摘要:
The solution of a constrained optimization problem is easily solved by linearly approximating a point of interest to a first hypersurface given as a constraint and finding the extreme value of the objective function by moving a point r along a curved line having second-order osculation with the geodetic line of a hypersurface S(r)=c and passing through the point r.
摘要:
It provides a finite element method library which improves the reliability of a program using the finite element method as a library, and avoids calculation errors and an increase in convergence time due to programming errors. To this end, a library that describes a program process based on the finite element method is characterized in that a vector of a vector space spanned by basis functions of the finite element method, and a dual vector of a dual vector space defined by a metric derived from an inner product which is determined by the square integrations of the basis functions, are defined as different abstract data types.
摘要:
An electron-emitting apparatus is constituted by an electron-emitting device having an electroconductive film including electron-emitting portions, and an electrode for attracting electrons. An electrically insulated elongated region is formed in the electroconductive film to divide the film into a higher potential side and a lower potential side. The insulated region has a substantially periodical shape formed of portions projecting to the higher potential side and portions projecting to the lower potential side. Continuous electron-emitting portions are present at at least part of the portion projecting to the higher potential side in one period of the insulated region.
摘要:
An electron-emitting apparatus is constituted by an electron-emitting device having an electroconductive film including electron-emitting portions, and an electrode for attracting electrons. An electrically insulated elongated region is formed in the electroconductive film to divide the film into a higher potential side and a lower potential side. The insulated region has a substantially periodical shape formed of portions projecting to the higher potential side and portions projecting to the lower potential side. Continuous electron-emitting portions are present at at least part of the portion projecting to the higher potential side in one period of the insulated region.
摘要:
Provided is a 1,3,4-oxadiazole-2-carboxamide compound which has STAT3 inhibitory activity and is useful as an anticancer agent. Provided is a 1,3,4-oxadiazole-2-carboxamide compound represented by formula (I) or a pharmacologically acceptable salt thereof (in the formula, Ar represents a furyl group or the like; R1 represents a hydrogen atom or the like; and —X—Y represents a diaryl group such as a biphenyl group).
摘要翻译:提供具有STAT3抑制活性并可用作抗癌剂的1,3,4-恶二唑-2-甲酰胺化合物。 提供由式(I)表示的1,3,4-恶二唑-2-甲酰胺化合物或其药学上可接受的盐(在该式中,Ar表示呋喃基等; R 1表示氢原子等; -X-Y表示二苯基等二芳基)。
摘要:
In an optimum design method comprising a first solution determining step of solving an optimization problem of a first evaluation function for a state variable vector with a design variable vector being as a parameter, and a second solution determining step of solving an optimization problem of a second evaluation function for the design variable vector and the state variable vector thus obtained, the second solution determining step includes the steps of computing a gradient vector of the second evaluation function for the design variable vector, computing a first coefficient based on a value of a norm of the gradient vector, computing a search vector based on the first coefficient, computing a second coefficient, and updating the design variable vector based on the second coefficient. The second coefficient computing step includes the first solution determining step, the first solution determining step is executed as an iterative method based on the gradient vector, and the state variable vector is not initialized during iteration. The optimum design method is precisely adaptable for structural changes.