algebraic

However, the algebraic signs of the required relations seem to me to point at least in the right direction.

I find this latter CSE especially cool, as I've seen real programmers miss this sort of algebraic simplification in real code.

Many of the familiar algebraic rules for Real number arithmetic do not always hold for floating-point arithmetic.

Love , and you shall be loved . All love is mathematically just, as much as the two sides of an algebraic equation .

The correct formula with respect to the right rectangle formula was presented, which had two degree algebraic accuracy.

This paper proved that this algebraic feature has some important properties of algebraic and geometric invariance.

We live in a society that completely tends to valorize symbolic forms of representation -- algebraic representations , equations , codes .

It was designed for solving problems with a simple syntax and has been described as an algebraic machine language.

The broad question of which equations are solvable by algebraic operations was definitely and comprehensively answered by Galois.

The algebraic dynamics is applied to investigate the geometric phase of a Heisenberg-chain in a rotating magnetic field.

In this note the algebraic independence of values of a set of power series with algebraic coefficients at transcendental numbers is given.

To divide by an algebraic fraction, multiply the dividend by the reciprocal of the divisor.

A sufficient and necessary condition is given that the algebraic immunity of a Boolean function is not more than a fixed value.

Scala's case classes and its built-in support for pattern matching model algebraic types used in many functional programming languages.

A set of simultaneous, linear algebraic equations results for the entire structure, in which the structural displacements are unknowns.

But to compute an economic model, this theory has to be given concrete form, spelt out in definite algebraic terms.

Many additional problems that cannot be decomposed into rigid clusters are solved, without resorting to expensive algebraic solving methods.

The algebraic sum of the through variables associated with the edges incident to any vertex is zero.

This powerful algebraic structure with its finiteness makes itself a concise and beautiful subject of study in the mathematical world.

It is firstly pointed out that unknown input appearing in measurement can be eliminated by a simple algebraic transformation.

Unfortunately, the solution still included a complicated set of sums of algebraic series involving tricky powers of trigonometric functions.

Uses a reduced-Newton algorithm with a weak line search to solve a set of non-linear algebraic equations.

A numerical integration algorithm and a simplified algebraic algorithm are then presented for its computation.

The graphic structure analysis for algebraic relationship of rough sets is a new research direction of the rough set theory.

Function to calculate the Jacobian matrix for a set of nonlinear algebraic equations. A simple central differencing scheme is used.

Programmers can also use the term constructor to denote one of the tags that wraps data in an algebraic data type.

Indeed, readers familiar with the fundamentals of algebraic topology can easily prove the correctness of this presentation.

On the contrary, only through calculate a set of linear algebraic equations can obtain the explicit composite Lyapunov function.

The integral equations for determining the unknown forces can be transformed into algebraic equations and solved numerically.

Finally, it is presented that the error distribution of the roots from complex coefficient higher-order algebraic equations is not even.

Logical operators describe the relational algebraic operation used to process a statement.

AES, which is selected by NIST, has an elegant algebraic structure, and its S-box can be written as an simple equation.

Feature extraction can be divided into geometrical feature extraction and algebraic feature extraction.

In natural science and engineering technology, the resolutions of many problems are reduced to solving linear algebraic equations.

Economists still share a taste for the Greek alphabet: they like to provide formal, algebraic accounts of the behaviour they explain.

by means of simple properties of probability , a class of algebraic inequalities is proved and some known results are consolidated.

Secondly, the component structural model is proposed, which consists of dynamic differential equations and interface algebraic equations.

In numerically solving ordinary differential equations and differential-algebraic equations block methods are efficient.

It shows the effectiveness and practicability of the approach to prove algebraic identities with combinatorial analysis.

Optimum bias is expressed through a simple algebraic equation.

With algebraic mapping technique only a few of boundary data is needed to gone rate the interio-grid.

Potentials may be summed by the law of algebraic addition .

The solution of the problem is finally reduced to solving a set of infinite algebraic equations.

Heron also translated much of the Greek geometrical algebra into arithmetic and algebraic processes.

Three methods can be proved using the feature of a right triangle and algebraic computation.

Direct method, which is an algebraic method, has over critical requirement not for the sampling size but for the selection of the samples.

Combining with two layer turbulence algebraic model, the method is developed to simulate incompressible flow within compressor cascades.

Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups.

Discusses the algebraic stability of two step linear and one leg methods under different choices of inner vectors.

The principle of this method is very simple. It does not require solving algebraic equations and possesses a high computation speed.

This book provides an introduction to the basic concepts and methods of algebraic topology for the beginner.

The differential equations and algebraic equations, which describe generator and electric-net respectively, are placed into two PC groups.

compared with algebraic approach, students are more willing to use arithmetic means.

The notion of a spectrum is the common basis of commutative algebra and algebraic geometry.

Thus the technique of algebraic computation was known and was developed in India in earlier times.

The radial magnetic pressure of axisymmetric coil can be calculated by algebraic analysis.

In this and next section, we shall consider some particular algebraic sets having binary operations defined on them.

Mathematics A rectangular array of numeric or algebraic quantities subject to mathematical operations.

The algebraic reconstruction technique(ART) was proposed to reconstruct image from incomplete projection data.

Numerous applications are described, covering fields as disparate as algebraic geometry and financial markets.

Some algebraic groups are discussed by looking into the lattice of their closed connected normal subgroups.

It has developed from two sources: algebraic geometry and algebraic member theory.

This attack can work even when an algebraic relationship between plaintexts and ciphertexts holds for only a fraction of values.

In steady state the differential equations are changed into linear algebraic equations suited to solving these problems on computer.

In particular, the focus is on the acceleration of techniques for solving sets of algebraic equations as they occur in numerical simulation.

Translate among verbal, tabular, graphic, and algebraic representations of functions.

By deducing the algebraic model the conflicted routing can be found out efficiently.

In this paper, the problem of pole assignment through output feedback in singular systems is investigated by the algebraic geometry method.

In analogy to algebraic data type theory, this paper proposed the mathematical model of objects, object types and abstract object types.

the execution is terminate. The approach for active rules termination analysis include graph and algebraic approach.

Some subjects of modern mathematics, such as the algebraic structure theory and functional analysis, would be found in the Matrix theory.

In this paper, Passive definition of differential algebraic systems and KVP property definition were proposed.

Some more advanced algebraic topology may also be useful as might some knowledge of category theory.

The method and principle of balancing chemical reaction equation by algebraic method are simply illustrated in this paper.

The passive definition of differential-algebraic systems and KYP property definition are proposed.

A rectangular array of numeric or algebraic quantities subject to mathematical operations.

It also has many merits that weak bisimulation does not have, e. g. , algebraic characterization and modal logic characterization.

The algebraic nature is expressed as points, curves, and lines (these comprise the vectors that give vector drawing its name).

The second step deals with nonlinearity by solving a nonlinear algebraic equation (group) and satisfies constraint by desaturation.

Algebraic Like terms, similar terms Inequality Triangle inequality ?

A new method for the four fundamental operations of arithmetic for the distribution coefficient was set up on the basis of algebraic method.

In this paper, the stability of linear singular systems with time delay is discussed, some algebraic criteria are proposed.

Subjects were discussed and dispensed with through algebraic means, but calculus was not used.

The algorithm of segment rational quadratic B-spline interpolation to algebraic curve is discussed in details.

The illustrative example showed the correctness of the max-plus algebraic approach.

There are particular relations between the closed connected normal subgroups of algebraic groups and the ideals of Lie Algebras.

This paper presented a construction of Boolean function in odd variables with optimum algebraic immunity.

the algebraic formulas of real and imaginary structure factors of reciprocal space point are obtained and proved.

Algebraic immunity is a new cryptographic criterion proposed to against algebraic attacks.

The passive control problem for differential-algebraic systems is investigated.

evaluate each algebraic expression for the given value or values of the variable(s).

Quantity and space both play a role in analytic geometry, differential geometry, and algebraic geometry.

A quantum operator algebraic theory is proposed first to suit the character of the hydrogen atom.

This paper proves that the rolling sphere surface determined by two algebraic surfaces is also an algebraic surface.

matrices over a distributive lattice L are introduced, and some algebraic properties of them are obtained.

In the fact, the algorithm is also fitted for the real algebraic numbers which have simple real roots in both definitional polynomials.

It mainly introduces basic concepts and basic methods in logic, set theory, algebraic system and graph theory.

Methods The construction of graphs was analyzed with the algebraic analytical method.

Study application of modular representations of algebraic groups in geometry.

They're more like algebraic variables than traditional programming variables.

Algebra representation theory is a new algebraic branch arising in 1970s whose researches mainly focuses on rings and algebraic structures.

The differential equation and algebraic equation are calculated separately so as to use proper methods based their own characteristics.

Mathematical Review and Preparation-Calculus, Taylor Series. Linear and nonlinear Algebraic Equations. 2.

Then we mainly study the WR method for solving differential-algebraic equations(DAEs) at the continuous-time case and discrete-time case.

This course involves mathematic logic, theory of set, algebraic system and the theory of graph.

The differential equations of Bar are discretized into algebraic equations using the differentiation matrices.

In order to resist algebraic attacks, Boolean functions used in many stream ciphers should have optimum algebraic immunity.

And the algebraic criteria of exponential stability and almost sure exponential stability are given.

Aim To explore the basic connotation, essence and influence of Lagrange's algebraic program of calculus.

This study examines the classrooms of three teachers who had engaged in algebraic reasoning CGI professional development.

Our algebraic attack requires a segment of the consecutive bitstream.

A process algebraic approach to the modelling of information flow security is explained.

This paper researches a class of singular biological economic model using the theories of differential-algebraic equations.

The ALgebraic Approach to Performance Evaluation of Discrete Event Systems.

The proposed method suits for all the problems of algebraic feature extraction.

Jules Own Version of the International Algebraic Language?

A new approach for solution of nonlinear algebraic and differential equation sets was presented.

Algebraic structures and applications between sets.

Aim To systematically discuss and research the history of algebraic invariant theory.

Its clarity in algebraic and analytical operations far outweighs any drawbacks.

The algebraic essence of residual lattices for various logical algebras was pointed out.

At first, the optimal results are determined using a simple algebraic method and signed distance to solve the fuzzy model.

The water supply must be equal to or exceed the algebraic sum of the other factors in order to maintain the navigation pools.

the calculator can operate in standard algebraic mode or in RPN mode (Reverse Polish Notation).

This paper discusses cubic algebraic curves with the given tangent polygon.

But recently some people presented a new algebraic diagonalization method.

In this paper, we discuss a class of algebraic geometry codes (A-G codes) with good asymptotic parameters.

Fields did original research in the theory of algebraic functions.

Symbols and terminology for algebraic structures.

With algebraic accuracy of one degree, the mid-rectangle formula has low algebraic accuracy.

An algebraic expression consisting of three terms connected by plus or minus signs.

Engineers usually prefer to express the function as graphs rather than in algebraic form.

The corrected formula is presented, which has a fairly high algebraic accuracy.

In fact, a class of problems with the same algorithmic framework essentially has the same algebraic structure.

CLK-Calculator can be used in RPN and algebraic mode.

The most common designation for the field of programs designed for these tasks is computer algebraic systems (CAS).

We survey some recent results on codes from algebraic curves over finite fields.

This matrix defines the network algebraic equations.

We introduce an algebraic approach to solving mechanical problems based on the poisson bracket formulation is obtained.

Knowledge of elementary algebraic topology and elementary differential geometry is recommended, but not required.

To find this angle , we first work out general algebraic expression for the range .

Algebraic method is used to form solving equation and obtain closed-form solution for inverse kinematics.

The algebraic equation from the dual boundary integral equations(DBIE) was solved using the generalized minimum residual method(GMRES).

At last, based on a mathematical tool: algebraic system, this paper gives definition of spatial data cube.

This algebraic fact follows because the sum of squared residuals never increase when additional regressor are added to the model.

The work is based on techniques from algebraic quantum theory and from complex analysis of several variables.

In this paper, we study *-algebraic free product of C(superscript *)-algebras and the dense *-subalgebras.

The method of straight-line stabilization based on chaotic differential-algebraic systems is presented.

Likewise, monadic Boolean algebras supply the algebraic semantics for S5.

Write an algebraic expression to model these charges.

These are shared concerns in commutative algebra, algebraic geometry, number theory and the computational aspects of these fields.

It's just an algebraic game but very important when you make your calculations.

A student who has trouble with algebraic equations, for instance, may have a talent for spatial geometry.

This is an algebraic equation, deduced from experimental results.

By analyzing the algebraic structure of add-compare-select operation, the literature[3] presented a M-step add-compare-select algorithm.

This is borne out by the name - Bijaganitam, which was given to the algebraic form of computation.

ODE and algebraic system of equations may be solved using the methodology in this demo.

The points were then converted into algebraic terms enabling the study's authors to make divorce projections.

A series of conclusions reveals a linear structure of Boolean function restricts algebraic immunity.

It accomplishes algebraic syntax by using the native C object-oriented technique of operator overloading.

On this basis, the nature of services that was composed by algebraic computing and the way to construct the Web services were given.

An on-line system designed to complete formal algebraic manipulations basedon use of display screens and light pens.

Topological Methods in Algebraic Geometry 3rd ed.

In Exercises 85-96, simplify each algebraic expression .

Elliptic Curve Cryptosystem(ECC) is a kind of public-key cryptosystem based on algebraic curve.

In this semester, I learned a lot of knowledge. I learned to know the most commonly used basic Zhengshi triangle and algebraic operations.

The algebraic system, on the other hand, makes up for the loss of elasticity and animation by being immediately "constructible. "

We now have an algebraic equation where we can solve for B steady state.

Compared to the construction over vector space, it is easier to study the properties of permutation polynomials, like algebraic degree.

The algebraic system uses the method of algebra to study the properties and characteristics of various things in the world.

A fracture network model based on algebraic topology theory has been developed to study fluid flow in the fracture dominant media.

A Necessary and Sufficient Condition and A Algebraic Expression of the Corresponding Involution in Quadratic Conic

An Algorithm to Determine the Annihilators of Boolean Function and a Class of Invariants of Algebraic Attacks

Algebraic structure and squeezed state solutions of the XYZ antiferromagnetic Heisenberg model in an external magnetic field

The analytic form of solutions of a type of algebraic differential equations

Standard expansions and its minimization of an logic function in Boolean SUBTRACTION-DIVISION-NOT algebraic system

develop students' algebraic structural awareness through the diversification of the implementation of the algorithm;

Modification of simultaneous algebraic reconstruction and its information processing

Standard expansions of a logic function in Boolean Subtraction-Xor, Division-Coincidence algebraic system

Estimation of the Average Number of Real Roots of a Random Algebraic Equation

Transcendental meromorphic solutions of a type of algebraic differential equation

The Application of the Parallel Multistep Hybrid Method to the Numerical Solution for a Class of Index-2 Differential Algebraic Equations

Admissible algebroid solutions of a type of higher - order algebraic differential equations

New Algebraic Approach for an Exact Solution of the Nuclear Mean-Field Plus Orbit-Dependent Pairing Hamiltonian

A Complete Algebraic Algorithm of Macroscopic Reliability Index of a Communication Network

Admissible Meromorphic Solutions of a Type of Higher-Order Algebraic Differential Equation

Algebraic representations of polynomial angular momentum algebra and Its realizations

Algebraic Operation Sequence of an Intelligent Magnitude Calibration Instrument

Value distribution of admissible solutions of a type of systems of algebraic differential equations

Constructing the New Exact Solutions to a Nonlinear Difference Differential Equation by Direct Algebraic Method

Numerical Simulation of the Whole Three-Dimensional Flow in a Stirred Tank with Anisotropic Algebraic Stress Model

Modified Simultaneous Algebraic Reconstruction Technique and Its Application in CT from Limited Range

Three-Dimensional Temperature Field Reconstruction from Flame Images Using Algebraic Reconstruction Technique

An Effective Algorithm for the Root Bound of the Algebraic Expression and Its Realization

Algebraic Criteria for the Convergence of the Solution of Singularly Perturbed System in Distribution Topology

Non-admissible solutions of a class of higher-order algebraic differential equation systems

Sufficient and necessary condition for the standard singular point of the differential-algebraic system

A Novel Algebraic Reconstruction Technique of Memory Optimization and Its Fast Implementation

On General Conformal Simultaneous Approximation of Differentiable Functions by Algebraic Polynomials

Algebraic Representation and Geometrical Representation of Middle School Mathematics Problems

But there is also another under-appreciative alternative; the simple algebraic logic of what Jennifer and I call pro-rata sharing

Modified Simultaneous Algebraic Reconstruction Technique and Applied in Image Reconstruction

Nonequilibrium algebraic turbulence modeling considerations for transonic airfoils and wings

The Density of Algebraic Curve Homoclinic Cycle for a Symmetric Integrable Quadratic System

Algebraic criterion for asymptotic stability of a first order delay equation with two delays

Liner interpolation method for solving linear algebraic equations whose coefficient matrix is large periodic block-tridiagonal matrix

Algebraic Differential Equations which Possess Admissible Algebroid Solutions

Some Algebraic Criteria of the Stability of Large Linear Ordinary Differential System with Variable Coefficients

The Stationary Oscillation of Differential-Algebraic Systems Under Structural Perturbations

Algebraic Recursion Formulas for Quantities of Equator in a Planar Polynomial Differential System

An Algebraic Condition for Classifying the Positional Relationship of Two Planar Ellipses

Application of Irreducible Decomposition of Polynomials over Algebraic Extension Fields in Cryptography

An algebraic diagonalization method to one -dimensional peierls transformation model

Relationship Between Transient Voltage Stability and Singularity in Power System Differential-algebraic Model

Approach for Fast Projection Coefficient Computation in Algebraic Reconstruction Technique

Algebraic approach to eigenvalue of energy of bound states system under supersymmetric potential

color image segmentation; principal component analysis; quaternion; algebraic multi-grid method;

Boundary and Existence of Periodic Solution to Discrete Differential Algebraic Systems

Algebraic regularized method for solving the integral equation of convolution type with application to signal reconstruction

General Algebraic Classification Method for a Class of Polynomial Systems

The Universal Formulae for the Setting-out Computation of Route Coordinates and Validation with Computer Algebraic System

A Hybrid Genetic Algorithm for Solving Algebraic Equations Set and Its Application in Engineering

Linear Algebraic Method for Finding Vector-coupling Coefficients of Two Angular Momenta

Fire safety engineering - Requirements governing algebraic equations - Fire plumes

Documentary Information Classified Automatically by Computer with Algebraic Method

Differential Algebraic Method for Arbitrary High Order Aberration Analysis of Electrostatic Electron Lens Systems

Investigation of scroll profile in form of algebraic Archimedes

Stability of Differential Algebraic Hybrid System and Its Applications in Power Systems

Analyzing the Methods to Smooth Field Reconstructed by Algebraic Reconstruction Technique with Spectroscopy

The algebraic precision of the area computation using coordinates in engineering survey and cadastral survey

Fire safety engineering - Requirements governing algebraic equations - Ceiling jet flows

Study Progress of Numerical Methods for Solutions of Two Classes of Algebraic Riccati Equations

Two-Dimensional Algebraic Solitary Wave and Its Vertical Structure in Stratified Fluid

Algebraic Classification of a Kind of Cubic Polynomial System and Its Applications

Algebraic Multigrid Method for a Multiscale Elastic Model of Thin Epitaxial Films

The Implementation of Normalization Design for Relation Patterns by the Algebraic Method of Structural Modeling

Solving Algebraic Problems by the Trigonometrical Substitution

Application of the algebraic method on instantaneous state hydraulic calculation in the pipe network system

Infiltration characteristics of brackish water by one dimensional algebraic model

A direct algebraic method to obtain solitary solutions of nonlinear differential-difference equations

Study of Dynamical Symmetry of Quantum Systems and Algebraic Dynamics

Study of Parametrization of a Kind of Cubic Implicit Algebraic Surface

Inclusion maps tend to be homomorphisms of algebraic structures;

Algebraic dynamical algorithm for numerical solution of artificial earth satellite motion equation

The Algebraic Classification of the Linear System and Plane Cubic Homogeneous Polynomial System

Mapping and Analysis of the Linear Algebraic Equations Iteration Algorithm on Stream Processors

Algebraic structure of the disturbing fuzzy propositional logic and the properties of its generalized tautology

Differential-Algebraic Approach to Coupled Problems of Dynamic Thermoelasticity

Stability and stationary oscillation of differential-algebraic interval systems

Conformal Geometric Algebra and Algebraic Manipulations of Geometric Invariants