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  Encyclopedia of Keywords > Science > Mathematics > Algebra > Determinant > Determinants   Michael Charnine

Keywords and Sections
LONG-TERM OUTCOME
SLATER DETERMINANTS
ADJOINT MATRIX
SENSITIVITY DETERMINANTS
COFACTOR MATRIX
CHILDREN
MINORS
HELICOBACTER PYLORI SEROPREVALENCE
GENERAL LINEAR ALGEBRA
COBALAMIN STATUS
CALCULATING DETERMINANTS
FUNCTIONS
TRANSITION FUNCTIONS
LAGRANGE
SQUARE SUBMATRICES POSITIVE
DIFFERENT DETERMINANTS
RANGE DETERMINANTS
SQUARE MATRICES
FUNCTIONAL DETERMINANTS
RESISTANCE DETERMINANTS
ENVIRONMENTAL DETERMINANTS
MOLECULAR DETERMINANTS
CLINICAL DETERMINANTS
GAUSSIAN ELIMINATION
LINEAR TRANSFORMATIONS
PRIMARY DETERMINANTS
MAIN DETERMINANTS
GENETIC DETERMINANTS
RESIDUES
WORK
IMPLICATIONS
MARKET
QUANTITY
GOODS
DIARRHEA
BEHAVIOR
ATTITUDES
CHAPTER
RISK FACTORS
HEPATITIS
FIBROSIS
BASIC PROPERTIES
PROPERTIES
CALCIUM
SOLUTION
PRODUCT
Review of Short Phrases and Links

    This Review contains major "Determinants"- related terms, short phrases and links grouped together in the form of Encyclopedia article.

Definitions

  1. Determinants, the subject of Chapter 4, are of much less importance than they once were. (Web site)
  2. Determinants are mathematical objects that are very useful in the analysis and solution of systems of linear equations.
  3. Determinants are used to characterize invertible matrices, and to explicitly describe the solution to a system of linear equations with Cramer's rule. (Web site)
  4. Determinants are useful in the evaluation of vector products and vector operations like the curl. (Web site)
  5. Determinants are important both in calculus, where they enter the substitution rule for several variables, and in multilinear algebra.

Long-Term Outcome

  1. Determinants of short- and long-term outcome in patients with respiratory failure caused by AIDS-related Pneumocystis carinii pneumonia.

Slater Determinants

  1. Those are multielectronic wavefunctions which are often approximated (better expanded in a basis of) Slater determinants.

Adjoint Matrix

  1. Sometimes the term "adjoint matrix" refers to the "matrix of cofactors", that is, the matrix of signed determinants of n-1 x n-1 dimensional submatrices. (Web site)

Sensitivity Determinants

  1. Second, no sensitivity determinants were identified within GP1 following selection for ST-193-resistant arenavirus. (Web site)

Cofactor Matrix

  1. The adjoint matrix and the cofactor matrix, being formed from determinants of submatrices of A, will be integer matrices if A is.

Children

  1. Dilated cardiomyopathy in children: determinants of outcome. (Web site)

Minors

  1. The cofactor matrix is the matrix of determinants of the minors A ij multiplied by -1 i+j.
  2. Chapter XVI sections 6-10 give a more elementary account of the exterior algebra, including duality, determinants and minors, and alternating forms. (Web site)

Helicobacter Pylori Seroprevalence

  1. Determinants of Helicobacter pylori seroprevalence in Mexican adolescents. (Web site)

General Linear Algebra

  1. Linear Algebra from MathWorld - Offers elementary definitions in general linear algebra, matrices and determinants.

Cobalamin Status

  1. Determinants of cobalamin status in newborns. (Web site)

Calculating Determinants

  1. Properties characterizing the determinant In addition to the Leibniz formula above, there is another way of calculating determinants of matrices.
  2. In addition to the Leibniz formula above, there is another way of calculating determinants of matrices. (Web site)

Functions

  1. Compute determinants and thousands of other functions with Mathematica for Students --starting at $44.95.
  2. However, Vandermonde published the first investigation (1771) of determinants in their own right, as functions of the coefficients of a matrix.

Transition Functions

  1. The latter can be reconstructed from transition functions defined as the determinants of the transitions functions of an atlas of the manifold.
  2. More precisely, the manifold has a coordinate atlas all of whose transition functions have positive Jacobian determinants. (Web site)

Lagrange

  1. Like Lagrange, he made much use of determinants in the theory of numbers. (Web site)

Square Submatrices Positive

  1. Totally positive matrix - a matrix with determinants of all its square submatrices positive.

Different Determinants

  1. As different determinants of exposure prevailed for each subgroup, consideration should be given to constructing exposure models for each group separately. (Web site)
  2. Sera from patients with other AMA-positive and AMA-negative autoimmune diseases were negative with these different determinants.

Range Determinants

  1. The co-localization of hemagglutinating activity and host range determinants on the virus surface implies that these properties may be functionally linked.

Square Matrices

  1. Although matrix multiplication is not commutative, the determinants of AB and BA are always equal (if A and B are square matrices of the same size).

Functional Determinants

  1. There are various approaches possible, including the use of the extension of the trace of a matrix, and functional determinants.

Resistance Determinants

  1. Salmonella Enteritidis dominated with a prevalence of 80.7%, and 40 of the 42 isolates harbored two or more resistance determinants.

Environmental Determinants

  1. Environmental determinants of the distribution of the Buffalo Sallee Eucalyptus mitchelliana. (Web site)

Molecular Determinants

  1. For a detailed review on pathogenesis and molecular determinants of virulence in Mycobacterium tuberculosis, please refer to the article by Smith, 2003.
  2. Molecular determinants of adaptation of highly pathogenic avian influenza H7N7 viruses to efficient replication in the human host. (Web site)

Clinical Determinants

  1. Frequency and clinical determinants of poststroke cognitive impairment in nondemented stroke patients.
  2. Prevalence and clinical determinants of mitral, tricuspid, and aortic regurgitation (the Framingham Heart Study).

Gaussian Elimination

  1. In general, determinants can be computed using Gaussian elimination using the following rules: If A is a triangular matrix, i.e. (Web site)
  2. The origin of many of these ideas is discussed in the articles on determinants and Gaussian elimination. (Web site)

Linear Transformations

  1. Linear transformations, matrices, change of basis, similarity, determinants. (Web site)

Primary Determinants

  1. Vitamin status and intake as primary determinants of homocysteinemia in an elderly population.
  2. These levels are critical, since they are primary determinants of customer service levels.

Main Determinants

  1. Theories of economic growth, the mechanisms that let it take place and its main determinants abound. (Web site)

Genetic Determinants

  1. In milder cases, the genetic determinants are more complex and involve factors outside of the VWF gene. (Web site)
  2. Genetic determinants of response to warfarin during initial anticoagulation.
  3. Genetic factors are important in the pathogenesis of osteoporosis, but little is known about the genetic determinants of treatment response. (Web site)

Residues

  1. Our results indicate that the amino acid residues at positions 325 and 326 in the base of the V3 loop are the major determinants of this 412d preference. (Web site)
  2. The highlighted residues at positions 421 and 425 are sensitivity determinants for which some sequence divergence is observed across the Arenaviridae family. (Web site)

Work

  1. Understanding the material requires knowledge of the basics of linear algebra, in particular how to work with matrices and determinants.
  2. Gabriel Cramer also did some work on matrices and determinants in the 18th century.
  3. This examination of the nature and determinants of visual perception integrates work on social psychology and vision.

Implications

  1. Classical authors, dating back as early as 500 BC, have made insightful analyses on the determinants and implications of the division of labor.
  2. Coronary morphologic and clinical determinants of procedural outcome with angioplasty for multivessel coronary disease: implications for patient selection.
  3. Intestinal luminal pH in inflammatory bowel disease: possible determinants and implications for therapy with aminosalicylates and other drugs. (Web site)

Market

  1. The main determinants of supply will be the market price of the good and the cost of producing it. (Web site)

Quantity

  1. The height of costs on individual value scales, then, is one of the determinants of the quantity, the stock, that will be produced. (Web site)

Goods

  1. Cost and utility remained the two determinants of the exchange value of goods.
  2. But existing exchange ratios between goods may be modified by a change in determinants connected only with one of the two sets of exchanged objects. (Web site)

Diarrhea

  1. Determinants of decreased fecal consistency in patients with diarrhea.

Behavior

  1. Reply to the paper "System features as determinants of behavior in dynamic task environments" by Joachim Funke]. (Web site)
  2. Behavior analysis The area of psychology that focuses on the environmental determinants of learning and behavior. (Web site)
  3. Dispositional variables The organismic variables, or inner determinants of behavior, that occur within human and nonhuman animals.

Attitudes

  1. On a cognitive level, attitudes to oral health were characterized by an awareness of the determinants (diet, plaque, fluoride) for caries.
  2. Using a questionnaire survey I analyze the attitudes of Swedes’ to alcohol taxation and find that these two sides of the coin are important determinants.

Chapter

  1. Old Chapter 6 Determinants, has now become Chapter 3 to permit earlier coverage of the material. (Web site)

Risk Factors

  1. Other risk factors were not determinants for in-hospital cardiac catheterization. (Web site)
  2. Symptoms and risk factors are the main determinants of treatment options for patients with essential thrombocythemia. (Web site)

Hepatitis

  1. Many blood tests are available for hepatitis B antigenic determinants and their antibodies. (Web site)

Fibrosis

  1. Measurement and determinants of the natural history of liver fibrosis in hepatitis C virus infection: a cross sectional and longitudinal study.

Basic Properties

  1. Chapter 6 introduces the basic properties of determinants and some of their applications. (Web site)

Properties

  1. Properties of determinants, evaluation of determinants, area of triangles using determinants.
  2. Properties of Determinants If the rows and columns of a determinant are inter-changed, the value remains unaltered. (Web site)
  3. Thus, two primary determinants of the properties of a GRIN lens are the lens length and refractive index profile.

Calcium

  1. The determinants include intake of fluoride, calcium and other nutrients, physical activity, and genetic markers, as well as parental factors.

Solution

  1. Determinants have many applications in mathematics and other fields, e.g., in the solution of simultaneous linear equations. (Web site)
  2. Cramer's Rule Uses determinants of a matrix to find the solution.

Product

  1. There is an easy way to remember the formula for the cross product by using the properties of determinants.

Categories

  1. Science > Mathematics > Algebra > Determinant
  2. Science > Mathematics > Algebra > Matrices
  3. Linear Equations
  4. Science > Mathematics > Algebra > Linear Algebra
  5. Thought > Belief > Religion > Religion And Economics

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  Originally created: June 13, 2008.
  Links checked: February 20, 2013.
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