theorem

this article has simply introduced a number of nature of regular polygon circumscribed circle by means of the Ptolemy's theorems.

In this sense, which is quite easy to define, all mathematical theorems are equally and completely general.

All this leads up to the most fundamental of theorems of calculus.

I think mathematics can benefit by acknowledging that the creation of good models is just as significant as proving deep theorems.

We introduce the concept of time-variable directional field, and establish the stable and unstable theorems by the qualitative method.

this reminds me of the no free lunch theorems . the best solutions are always local and contextual.

"A mathematician, " he said, "is a machine for turning coffee into theorems. "

A mathematician, he said, 'is a machine for converting coffee into theorems.

The above statement led to various generalized prime ideal theorems, each of which exists in a weak and in a strong form.

I have found a very great number of exceedingly beautiful theorems.

In the light of this result many of the theorems established previously obtained a relatively simple interpretation.

There exist a number of extension theorems for crisp relations in the literature, in which a relation is extended to a complete relation.

Some strong limit theorems for the sequence of arbitrary random sequence are discussed by means of martingale method.

Four theorems about continuous function on an closed interval are proved by a interval sequence theorem in mathematical analysis.

In his book he gave definitions and theorems but no proofs.

His work helps you to understand why Mr. Selten has said that "Game theory is for proving theorems not for playing games. "

As a application of the above results, some minimax inequalities and saddle point theorems can be obtained.

The performance of logical networks is expressed in terms of equations that are governed by special theorems and rules.

The paper discusses the duality theorems for the generalized convex multiobjective fractional programming and get a more general result.

The existence result and the asymptotic estimates of the solution in the maximum norm are examined by means of some fixed point theorems.

This paper derives several theorems concerning weak law of large numbers for sequence of complex independent random variables.

A new estimation for real eigenvalues of matrices is obtained The conclusions are given in the form of theorems and have been tested.

The terrain was strewn with beautiful theorems begging to be picked up and arranged in unified order.

The philosophical implications of these theorems are widespread.

As a corollary, we present some existence theorems of positive almost periodic solutions, which generalize some existing results.

In this paper, two theorems on chord at contact equation of a nonsingular conic have been proved.

Using the result of skew-symmetric problem in interior point method theory, new proof of the dual theorems is obtained.

Tables only go so far, and that is why I want to discuss with you two theorems which will help you to find moments of inertia in most cases.

The subject of the theorems, which today we would describe as maxima and minima problems, was novel in Greek mathematics.

The concept of K-sub-unitary matrix is proposed, and some decision theorems about K sub-unitary matrix are discussed.

The relationships between the properties of complex filter banks and the parameters were discussed and the theorems about them were proved.

One of the important topics in the study of contraction inference relations is to establish the representation theorems for them.

A prover for parallel numerical verification of a class of constructive geometry theorems.

Two theorems of chaos existence and two criteria for chaos prediction are proposed as well.

Several theorems about the relation between the sums of sequence of complex independent random variables and convergence are derived.

The asymptotic behavior theorems of the "midpoint" of remainder in the midpoint formula and their applications are presented in this paper.

Then two discriminant theorems, which distinguish two types of polish functions and two types of filter functions respectively, are derived.

The related continuity, function approximation ability and computational capability theorems are proved.

Many mathematicians simply set nettlesome questions like these aside and get back to the more pleasant business of proving theorems.

As corollaries , several strong limit theorems about occurred frequency of states for hidden nonhomogeneous Markov model are obtained.

including symmetric differential operators and symmetric integral theorems.

Chapter One lists some important theorems in the qualitative theory and the stability theory of ordinary differential equations.

This article presents the define of the binary tree coordinate net and its basic theorems.

Doing research takes various skills: identifying questions, developing models, providing theorems, finding data, expositing results.

His doctoral dissertation on differential equations connected itself with existence theorems.

Sums of Random Variables and Limit Theorems, Law of Large Numbers, Central Limit Theorem.

And when these real-world components meet the clever academic theorems that are supposed to guarantee security, holes emerge.

Finally, we give some section theorems and alternative theorems as application of coincidence theorems and fixed point theorems.

Main ingredients for our arguments are the technology of integral equation and the fixed point theorems on cone.

Remember, the divergence of a vector field What do these two theorems say?

They had educated themselves many times over, proved theorems, and acquired and abandoned artistic sensibilities and skills.

Meanwhile, we proposed some relevant theorems or regulations to solve the security problems of mutable attribute range.

New almost fixed point theorems and fixed point theorems for multimap having S-KKM property on locally G-convex uniform space are obtained.

The existence theorems of periodic solution with saddle point characteristics are obtained by using saddle point reduction methods.

In this paper, several equilibrium existence theorems for abstract economies and qualitative games are proved.

Gave and discussed the infinitely minimum and the infinite integral restraining relation and several related theorems.

Has opposed all theorems, has violated the through ancient times convention, completely only as reveres take mine order.

These theorems improve and generalize a number of important results in recent literature.

These theorems are the theoretical foundations to construct a new algorithm.

Two new theorems of oscillation property are established. These results generalize the known results.

The trace of optimal flying and taking off is described on the conditions of two theorems.

To this day, the theorems of existence and uniqueness for optimal investment virtually settled, which didn't allow negative wealth.

For a better understanding of the proofs several theorems of convex analysis are recalled in the first part.

And when these real-world components meet the clever academic theorems that guarantee security, holes emerge.

Then, some maximal element theorems in stochastic choice problems and other theorems with respect to incomplete preference are obtained.

These results parallel Archimedes' geometric theorems.

The power of the Greeks to divine theorems and proofs is attested.

This and other theorems are tested in a professional courseware project for second language learning.

Demonstrate mathematical proofs of selected theorems.

According to Descartes, God could at will alter the truth or falsity of ethical propositions or mathematical theorems, but not nature.

Using theorems for calculus of variations, the algorithm of image restoration is strictly proved.

In the second chapter, the important theorems of Navier-Stokes equations under arbitrary coordinate system are introduced.

In this study, we propose some criteria and theorems for guaranteeing the stability of fuzzy bilinear systems.

In addition, the analogs of two traditional welfare theorems of microeconomic theory were obtained.

some limit theorems about lag increments of this process are gotten.

and to prove several complete theorems in the two-dimensional space with the complete covering theorem.

As their applications, we get the fixed point theorems of increasing mappings in the probabilistic metric spaces.

The properties kept by homomorphism of rings are generalized by restricting zero divisors of rings, and some important theorems are proved.

Theorems 1 and 3 above depend on not admitting the rule of countable additivity among the probability axioms.

This thread will run in conjunction with the Tactical Theorems and Frameworks Thread.

As I mentioned before, proofs use axioms and theorems to make their case.

Based on these theorems a state equation method is proposed for analyzing dynamic circuits.

The theorems should be deduced from axioms by purely logical arguments.

Famous Theorems define the mathematical landscape.

In this paper first a new definition called "general solution matrix" is given, then two theorems are proved.

Two theorems which state the properties of QoS routing paths given by these algorithms are proved.

For the 'Four Color Theorems Are Proved Generally' has built the foundation.

Our main results generalize and improve many same type fixed point theorems in references.

In the present paper, some theorems for variational inequalities and minimax inequality are obtained in hyperconvex metric spaces.

All forms of reciprocal theorems apply to structures which behave linearly.

The extension theorems of mapping from regular space to basic square bodies are proved.

In the 1970s, Douglas Lenat's Automated Mathematician automatically generated mathematical theorems, but they proved largely useless.

may be various ways to represent the needed logical theorems.

Another major class of theorems deals with less stringent conditions.

By upper and lower bound theorems, the model of calculation and the method for bearing capacity are got.

In this paper, some theorems relevant to eliminating redundancy based on a mixed hypergraph are discussed and the theory is improved.

In this paper we propose three theorems for single voting system and prove its existence.

Thus, algebraical definitions of curved lines are theorems in the method of geometry.

Static verification and design by contract relay on theorems that are mostly based on deterministic approach.

Judgment theorems of consistent set in information formal context based on information concept lattices are dealt with in this paper.

What 'purely aesthetic' qualities can we distinguish in such theorems as Euclid's or Pythagoras's?

The definition and theorems on unascertained continuous function between two unascertained topological spaces are introduced.

First of all, a class of strong limit theorems which extend the conclusions in [29] are proved by constructing two nonnegative martingales.

Other chapters are focused on Bach's fugues and the theorems of great German mathematician Kurt Gordel.

The above theorems and laws hold true for DC as well as for AC circuits.

Some new generalized KKM type theorems are proved in noncompact FC- spaces.

The mid-value theorems is a series of mean value theorems in general, is a powerful tool research function.

Fundamental theorem are theory base. These theorems are equivalent each other.

A mathematician is a machine for turning coffee into theorems .

The answer consist in the fundamental theorems of curves and surfaces.

These two theorems will be derived later from results on non abelian cohomology .

This is a project of artificial intelligence, aims to plane geometry to prove, and all definitions and theorems that are stored.

You can stitch all sorts of mathematical theorems onto these surfaces.

we prove several theorems on regular fuzzy-valued fuzzy measure.

and obtains the growth and covering theorems about a kind of spiral like mappings with zero of higher order.

theorems which are statements about the program inferred from the axioms.

Matrix proofs of several theorems in linear algebra are given.

Firstly, the author proved three sharing sets' uniqueness theorems which improved the results of Yi Hongxun, Li Jiangtao.

Methods It is proved by using matrix iterative analysis and comparison theorems.

And we give three forms of definitions and relative equivalent theorems of vanishing moments.

Distortion Theorems for functions in the class.

In this paper, other types of fixed point theorems in fuzzy seminormed space is proved.

Based on elementary circuit theorems, the matrix equations for calculating layer currents are set up and some formulas are deduced.

Furthermore, we give a class of identities for power series of Lie type and some partition theorems.

The third and fourth chapters introduce the famous theorems of Desargues and Pappus.

You have to distinguish between different the theorems. Don't confuse them.

From 10 axioms and postulates, Euclid deduced 465 theorems, or propositions, concerning aspects of plane and solid geometric figures.

Finally, let's move onto the theorems about flux.

Are theorems freedom?

I'll develop two theorems here to show the proof.

In the third Chapter, first, we introduce simply C_0 -semigroups and some classical exponential stability theorems.

We evaluated them in completely different ways, and we have a handful of theorems, connecting them to each other.

First, "completeness" in Completeness theorem is distinct from that one in Incompleteness theorems.

Now we have a bunch of theorems relating them.

The goal is to link together axioms and theorems in such as way as to prove property P true.

And we will see theorems about flux pretty soon.

The more theorems you have, the more powerful you are.

It is important meaningful to study the strong limit theorems for the sequences of random variables by using martingale and stopping times.

Earthquake Prediction is Possible--Evidences of Two Mathematical Theorems

How many essential mathematical theorems have you found by 20?

The structural theory of general systems applied in management: the total relationship flow management theorems

Norm Theorems for the Unique Steady State of the Nonlinear Nonautonomous Circuits with Hysteresis Loop Elements

Existence theorems of maximal elements in the sense of incomplete preference and applications

Convergence Theorems for Explicit Iteration Process for a Finite Family of Continuous Pseudo- Contractive Mappings

A generalization of Ostrowski's and Brauer's theorems on a class of matrices and the spectral radius of a bipartite tournament matrix

The Markov Approximation of the Random Fields on Cayley Trees and a Class of Small Deviation Theorems

Maximal Element Theorems in the Sense of Incomplete Preference with Applications

Common Fixed Point Theorems about Pair of Mapping and Family of Mapping

Weak Convergence Theorems of A Queuing System for PRE Priority Discipline with Service Interruptions

Introducing theorems and formulas in form of mathematical open-ended problems, let students experience the process of creation;

Coding Theorems for a Discrete Source with a Fidelity Criterion

Dominated Convergence Theorems for the Integration of Function Sequence with Respect to Weak Convergence Probability Measure Sequence

Local Existence Theorems of Multiple Positive Solutions to a Class of Singular Second-Order Two-Point Boundary Value Problems

Oscillation and Non-oscillation Theorems for a Class of Second Order Quasilinear Difference Equation

Theorems about Martingale Approximation and Resolvent Representation Convergence

Oscillation theorems for a class of higher-order nonlinear neutral differential equations

Construction propositional calculus and predicate calculus system, mathematical theorems derived from the logical axioms;

Polynomial Transform in Two Variables and its Decision Theorems

Integrating Factors And Conservation Theorems For Nonholonomic Dynamical Systems With Unilateral Constrains

Oscillation Theorems for Systems of a Class of Second Order Partial Differential Equations

A Few Theorems and Equivalence on Abstract Function of Strong Measurable Function

The Fixed Point Theorems for a Class of New "Increasing" Operators with Applications

Sample Relative Entropy Rate and a Class of Strong Deviation Theorems on Random Select System

The Fixed Point Theorems for a Class of Singular Nonincreasing Operators and its Applications

Applying of the saluting differential equations in proving the thing of differential intermediate value theorems

Non-oscillation Theorems for A Class of Second Order Quasilinear Delay Difference Equation

Mapping Theorems of Maximal Monotone Operator and Its Application to Differential Equation

Some parametric non-compact KKM theorems with applications to economic equilibrium problem in topological spaces without linear structure

Compatibility of Individual Rights Assignment and Libertarian Impossibility Theorems

Oscillation Theorems for Second-order Damped Differential Equations with Distributed Deviating Arguments

The comparison between arbitrary random sequence and exponential distribution sequence and strong deviation theorems

Some fixed point and generalized fixed point theorems for discontinuous increasing operators under incomplete preferences

Oscillation comparison theorems of solutions for second order nonlinear elliptic differential equations

Non-oscillation theorems for a class of second order quasilinear difference equation

Fixed Point Theorems for Increasing Operators and Applications to Nonlinear Impulsive Equations with Discontinuous Terms

The theory of automatic proof of theorems in paraconsistent logic and its realization

New Existence Theorems for Vector Implicit Variational Inequalities and Complementarity Problems

New Oscillation Theorems for Certain Even Order Differential Equations with Continuous Distributed Delay Arguments

Coincidence Theorems Involving Admissible Set-Valued Mappings and Their Applications in Topological Spaces

Comparison Theorems on a Class of Quasilinear Degenerate Parabolic Equations and Their Applications

Probability limit theorems of classical combinatorial optimization problems

Oscillation Theorems for Second Order Quasilinear Perturbed Differential Equations

Proving Theorems in Real Number Field by Means of Continual Induction

Intersection Theorems and a System of Inequalities on Generalized Convex Spaces

Oscillation Theorems of Second Order Nonlinear Neutral Functional Differential Equations

Deviation Theorems of the Multivariate Function Sequences of Arbitrary Random Variables

On Common Fixed Point Theorems of Two Nonlinear Non-monotone Two Binary Operators with Applications

Time-integral theorems for nonlinear nonholonomic rotational relativistic systems

Asymptotic Behavior Theorems of the "Midpoint" of Remainder in the Midpoint Formula and Their Applications

Convergence theorems for a finite family of asymptotically quasi -nonexpansive mappings in Banach spaces

Nonexistence Theorems for Positive Solutions of Delay Hyperbolic Systems with Impulses and Their Applications

Fixed Point Theorems for a Class of Mixed Monotone Mappings in Partially-ordered Linear Space

Some new existence theorems of solution for a class of nonlinear projection equations

Some Parametric Non-compact KKM Theorems with Applications to Economic Equilibrium Problem on Generalized Interval Spaces

Selection of set-valued order submartingale and its representative theorems

Uniqueness Theorems for Meromorphic Functions Whose Linear Differential Polynomials Share One Value

Geometrical theorems grew out of empirical methods. [n. ]

Convergence Theorems to a Class of Operator Equations for Iteration Process in Banach Spaces

Projection theorems of two-parameter stochastic processes

Some nonempty intersection theorems with applications to economic equilibrium problem in interval spaces

Norm Theorems for Unique Steady State of Dynamic Circuits with Nonlinear Resistors

A Class of Strong Deviation Theorems on Random Selection for the Sequences of Absolutely Continuous Random Variables

Oscillation Theorems of Elliptic Differential Equations by Methods of the Sequence of Functions

Convergence and Comparison Theorems of the Preconditioned AOR Iterative Methods

Subjectivity Theorems for Maximal Monotone Operators with Compact Perturbations

Convergent Theorems for Nonlinear Mathematical Expectation

Some Representation Theorems for Recovering Contraction Relations

Oscillation Theorems of Certain Second Order Quasilinear Partial Differential Systems

Oscillatory and Asymptotic Theorems for Second Order Nonlinear Differential Equations

Oscillation Theorems for Certain Second-Order Nonlinear Matrix Differential Equations

Existence Theorems of Iterative Solutions for Nonlinear Operator Equations and Applications

Oscillation Theorems for Systems of Partial Differential Equations with Deviating Arguments

Fixed Point Theorems of a Class of Nonlinear Operators and Applications

Generalizations and Applications of Mean Value Theorems for Integral to Ordinary Differential Equation

Two Characteristic Theorems about Eventually Uniformly Continuous C-Semigroups

Automated production of traditional proofs for Constructive Geometry theorems,

Several Decision Theorems for Periodic Function and its Application

Local Existence Theorems of Integral Solutions for Nonlinear Differential Inclusions

Generalization of Two Mathematical Theorems

Convergence Theorems and Inequalities of Double Conditional Expectation

Some New Equilibrium Theorems for Generalized Economy in Topological Spaces Without Linear Structures

Theorems and Computer Simulations on the Generalized Synchronization of Array Dynamical Systems

Oscillation Theorems for Second Order Strong Sublinear Differential Equations

Comparison theorems for second order neutral nonlinear differential equations

Oscillation Theorems for Second Order Damped Nonlinear Differential Equations

Martingale Method and a Class of Strong Deviation Theorems

On Existence Theorems of Positive Solutions for Nonlinear Singular Differential Equations

Existence theorems of solutions for variational inequalities on generalized convex spaces

Sturm Comparison Theorems for Second Order Neutral Nonlinear Differential Equations

Resonance Theorems for Families of Quasi-Homogeneous Operators Taking Values in Topological Vector Spaces

KKM Type Theorems and Coincidence Theorems in Topological Space with Applications to Equilibrium Problems

Embedding theorems and the spectrum of a class of differential operators

Study of the schema theorems for recombination

Comparison Theorems for the Preconditioned AOR Interactive Methods

Comparison Theorems for the Distribution of Quadratic Forms of Gaussian Vectors and Cauchy Vectors

Fixed Point Theorems of Monotone Mappings and Coupled Fixed Point Theorems of Mixed Monotone Mappings in Ordered Metric Spaces

Limit Theorems of a Class of Super-Uniformly Elliptic Diffusions

Fixed point theorems for a class of non-monotone binary operators in Banach spaces

the existence and relevant theorems of homoclinic orbits for another generalized lienard system are obtained

Oscillation Theorems on Second-Order Nonlinear Differential Equations

Oscillation Theorems for Certain Second Order Self-Adjoint Matrix Differential Systems on Interval

Principle of Direct-Proof Resolution for Automatic Propositional Logic Theorems Proving

Oscillation Theorems for Second Order Nonlinear Differential Equation with Damping Term

Existence and Comparison Theorems of Positive Solution for Partial Difference Equations

Oscillation Theorems for Second Order Damped Nonlinear Difference Equations

A Class of Strong Deviation Theorems for the Sequences of Absolutely Continuous Random variables

On Some Fixed Value Theorems for Directed Areas in Elliptic Circumscribed Polygons and Their Applications

Uniqueness Theorems for Variational Problems by the Method of Transformation Groups

Some New Strong Convergence Theorems for Iterative Schemes for Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

Oscillation Theorems of Systems of High Order Nonlinear Delay Partial Differential Equations