Finite-time stability of linear time-varying systems with ju

英语翻译
2.Thermal Modelling of Grinding
The finite element model proposed is based on Jaeger's model [2]; it is a 2D model and the grinding wheel is considered to be a moving heat source,see Fig.1.The heat source is characterised by a physical quantity,the heat flux,q,that represents the heat entering an area of workpiece per unit time and is considered to be of the same density along its length,which is taken equal to the geometrical contact length,l.which is calculated from the relation where a is the depth of cut and d ,is the diameter of the gringing wheel .The real contact length is expected to be large owing to the deflection of the grinding wheel and the workpiece in the contact area.Nevertheless,as a first approximation,the geometrical and real contact lengths are considered to be equal.The heat flux can be calculated from the following equation Where is the percentage of heat flux entering the workpiece,the tangential force per unit width of the workpiece,the peripheral wheel speed and the geometrical contact length.The proportion of the heat flux entering the workpiece can be calculated by a formula suggested by Malkin [3,4] for grinding with aluminium oxide wheels,as where is the energy required for chip formation,having a constant value of about 13.8 J mm-3 for grinding all ferrous materials and u is the total specific grinding energy required for grinding,calculated from where is the workspeed and,consequently,as in Jaeger's model,the speed of the moving heat source.Note that,in both Eqs (2) and (4),the value of ,is required in order to calculate the heat flux and the total specific grinding energy,respectively; it can be calculated from where is the power per unit width of the workpiece,which was measured during the testing of the different grinding wheels.Therefore,from Eqs (2)一(5),the heat flux can be calculated for every case.The kind of modelling suggested in this paper is suitable for a grinding process with a very small depth of cut,since there is no modelling of the chip.In any other case,other assumptions must be made for the chip in order to provide a valid model,since the heat carried away by the chip cannot be neglected.Furthermore,the two coef- ficients of the workpiece material that are related to temperature,i.e.the thermal conductivity and the specific heat capacity,along with the density of the workpiece must be inserted as inputs to the program.For the material used in the wheel testing,those quantities were taken from the FEM program data bank.The first two were considered to be temperature dependent.

请帮忙查询文章 Finite element analysis of orthotropic steel deck plate with pavement 是否被EI SCI ISTIC录用

英语翻译
Probabilistic finite element analysis using ANSYS
这个是一本书的题目,请问要如何提问比较好呢

with finite rate of SO2
翻译
整个句子是 estimate the impact of the reactions with finite rate of SO2 mass transfer.

实变函数证明题求助!
Show that if A has finite measure and ε>0,then A is the disjoint union of a finite number of measurable sets,each of which has measure at nost ε.
翻译:证明:如果A有有限测度,ε>0,那么A是有有限个不相交的可测集的并,每一个可测集有最大测度ε

英语翻译
the past participle on its own is a non-finite verb.we use it after a noun to describe what happened to the noun.this type of'ed' clause function like a relative clause.

英语翻译
Unlike physical energy,which is finite and diminishes with age,emotional energy is unlimited and has nothing to do with genes or upbringing.So how do you get it?You can’t simply tell yourself to be positive.You must take action.Here are six practical strategies that work.
1.Do something new.
Very little that’s new occurs in our lives.The impact of this sameness on our emotional energy is gradual,but huge:It's like a tire with a slow leak.You don't notice it at first,but eventually you'll get a flat.It's up to you to plug the leak——even though there are always a dozen reasons to stay stuck in your dull routines of life.That's where Maura,36,a waitress,found herself a year ago.
Fortunately,Maura had a lifeline——a group of women friends who meet regularly to discuss their lives.Their lively discussions spurred Maura to make small but nevertheless life-altering changes.She joined a gym in the next town.She changed her look with a short haircut and new black T-shirts.Eventually,Maura gathered the courage to quit her job and start her own business.
Here's a challenge:If it's something you wouldn't ordinarily do,do it.Try a dish you've never eaten.Listen to music you'd ordinarily tune out.You’ll discover these small things add to your emotional energy

We must accept finite disappointment,but we must never lost infinite hope.

英语数学题翻译
Let X be a finite set of positive integers and A a subset of X. Prove that there exists a subset B of X such that A equals the set of elements of X which divide an odd number of elements of B.

英文翻译（按顺序翻译并标上序号，例如:①＊）Infinite HP Mazinger Z和 Infinite HP Aphrodite A和Infinte &Max HP Kouji Kabuto和Infinte HP GaoGaiGar和Infinte HP Boss Borot和Max Money和All Items和Infinte Movement和Weapons Level 15和Infinte Bullets和Infinte En和All Demos和No Need For #Must Have# Attack Power和Select Stage！（01-81） Enabled Last Stage

Wide use of non-finite structure and prepositional phrases
non-finite structure 是什么句子、?

解析英语意思和句子结构
This unprecedented development of a finite groundwater resource with an almost neglible natural recharge-that is,virtually no natural water source to replenish the water supply-has caused water tables in the region to fall drastically.

英语翻译
B .Types of sets
1.Finite
2.Infinite
3.Empty
C.Relationships between sets
1.Equal sets
2.Equivalent sets
3.Subsets
4.Complements
D.Set Operations
1.Union
2.Intersection
3.Cartesian products
4.Laws of set operations
5.Closure
E .Venn diagrams
VIII.TRIGONOMETRY
A.Trigonometry of the right triangle
1.Definitions of the six functions
2.Relations of the functions of the complementary angles
3.Reciprocal relations among the functions
4.Variations in the functions of acute angles
5.Pythagorean and quotient relations
6.Functions of 30°,45°,and 60°
7.Applications of the functions to right triangle problems
B.Trigonometric functions of the general angle
1.Generating an angle of any size
2.Radians and degrees
3.Using radians to determine arc length
4.Definitions of the functions of an angle
5.Signs of the functions in the four quadrants
6.Functions of the quadrantal angle
7.Finding the value of functions of any angle
C .Identities and equations
1.Difference between identities in equations
2.Proving identities
3.Solving linear trigonometric functions
4.Solving trigonometric quadratic equations
D .Generalized trigonometric relationships
1.Functions of the sum of two angles
2.Functions of the difference of two angles
3.Functions of the double angle
4.Functions of the half angle
E .Graphs of trigonometric functions
1.Graphs of the sine,cosine,and tangent curves
2.Properties of the sine,cosine,and tangent curves
3.Definitions of amplitude,period,and frequency
4.Solving trigonometric equations graphically
F .Solutions of oblique triangles
1.Law of sines
2.Law of cosines
3.Using logarithms to solve oblique triangle problems
4.Vector problems—parallelogram of forces
5.Navigation problems
IX.MISCELLANEOUS TOPICS
A.Complex numbers
1.Meaning
2.Operations
a) Addition and subtraction
b) Multiplication and division
i.Powers of i
ii.Complex conjugate
3.Complex roots of quadratic equations
B .Number Bases
1.Converting from base 10 to other bases
2.Converting from other bases to base 10
3.Operations in other bases
C .Exponents and logarithms
1.Meaning of logarithms
2.Computation with exponents and logarithms
3.Equations
4.Graphs of exponential and logarithmic functions
D .Binary operations
1.Definition of binary operations
2.Properties of binary operations
3.Application to modular arithmetic
E .Identity and inverse elements
1.Addition
2.Multiplication
3.Other operations

A finite straight line can be produced continuously in a line 用中文数学定义,

..在这句子中,哪些是finite verbs?
He was quoted as saying that he no longer recognized the judiciary's authority because of the continuous cruel and inhumane treatment he had suffered in custody.

英语翻译
Since the structure is composed of several finite elements,the individual element siffness matrices and load vectors are to be assembled in a suitable manner and the overall equlibrium equations have to be formulated as [K] =P where [K] is called the assembled stiffness matrix,Q is the vector of nodal displacements and P is the vector of nodal forces for the complete structure.
Step(v):Solution for the unknown nodal displacements
The overall equilibrium equations have to be modfied to account for the boundary conditions of the problem.After the incorporation of the boundary conditions,the equilibrium equations can be expressed as [K] =P
For linear problems,the vector Q can be solved very easily.But for nonlinear problems,the solution has to be obtained n a sequence of steps,each step involving the modification of the stiffness matrix [K] and/or the load vector P.
Step(vi):Computation of element strains and stresses
From the known nodal displacements Q,if required,the element strains and stresses can be computed by using the necessary equations of solid or structural mechanics.
The terminology used n the above six steps has to be modified if we want to extend the concept to other fields.For example,we have to use the term continuum or domain in place of structure,field variable in place of displacement,characteristic matrix in place of stiffness matrix,and element resultants n place of element strains.

Give each an example to show finite clause,non-finite clause,compound sentence and complex senten

using a non-finite form
she stood up so that she could be seen better
i am sure it'll do you good if you admit that you made the mistake
题目要求是把这两个句子改成非限定形式对吧?语法差不太懂怎么改还有什么概念

we must accept finite disappointment,but we must never lose infinite hope.whose words are these?

On account of fuel supplies being finite and many people being wasteful, we will have to install ________ solar heating device in our home. A．some type of a B．some types of a C．some type of D．some types of

数据结构多选题,求解
1、An algorithm is a finite set of instructions that, if followed, accomplishes a particular task. In addition, all algorithms must satisfy the following criteria:
A.Input/Output
B.Definiteness
C.Finiteness
D.Effectiveness

On account of fuel supplies being finite and many people being wasteful,we will have to install ________ solar heating device in our home.
A.some type of a B.some types of a C.some type of D.some types of

请问这句话的verb phrase为什么是finite的
The child should have been sleeping
finite在这里是什么意思?及物?不及物?虚拟?

We must accept finite disappointment,but we must never lose infinite hope.这句话的意思.
这句话的意思与accept,finite的意思.

小小翻译 谢谢帮忙
The finite difference approximation of the Jacobian matrix is required at every iteration.
The method also uses the Jacobian to minimize the sum of squares in a local region of the parameter space.
Basically,this is a optimal compromise between steepest descent,efficient far from the minimum,and the Gauss-Newton method,only efficient when close to the minimum.