No :p
To be succinct, the market mechanism allocates an efficient price vector solution to the distribution of a commodity conditional of the assumptions that that consumers and firms exist and that they have the freedom to buy as they please.
According two the first two fundamental theorems of welfare economics, if there exist a series of economic agents each with a set of initial resource allocations who are able to buy/sell and satisfy the weak axiom of revealed preference (WARP), then their optimal allocation is also Pareto efficient; and, if a Walrasian equilibrium solution to this market exists, it must also be Pareto efficient. Therefore, any market satisfying these mathematical properties possesses a price vector that will ensure Pareto efficiency.
According to the first two Fundamental Theorems of Welfare Economics, a market, satisfying certain mathematical criteria (that outline optimal conditions), is able to efficiently allocate a price-vector solution for a good with a random distribution of initial endowments. This means that a market can provide the best social outcome without outside interference when certain conditions are true. So, when a market is in disequilibrium, a market 'self-corrects' itself by having a mechanism through which individual decisions by suppliers and buyers leads to the price shifting to its optimal value - and restoring equilibrium. This is sometimes called the Invisible Hand, which was the philosophical formulation of this concept outlined in The Wealth of Nations by Adam Smith in the 1700s.
The two conditions of equilibrium are: 1. Concurrent Equilibrium the sum of vector forces through a point is zero. 2. Coplanar equilibrium, the sum of forces in a plane is zero and the sum of the torques around the axis of the plane is zero. These two conditions are similar to Ohms Laws in Electricity: Ohms Node Law the sum of the currents at a node is zero and Ohms Voltage law, the sum of the voltages around a loop is zero. These equilibrium conditions reflect the Quaternion mathematics that controls physics. Quaternions consist of a scalar or real number and three vector numbers. Equilibrium is the Homogeneous condition of a quaternion equation: the sum of the scalars or real numbers must be zero AND the sum of the vector numbers must also be zero. Thus there are TWO Conditions for Equilibrium. However if we were to use quaternions as nature does, then Equilibrium would be simplified to the zero quaternion condition.
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Vector Analysis was created in 1901.
C. D. Collinson has written: 'Introductory vector analysis' -- subject(s): Vector analysis
Alexander Macfarlane has written: 'A report on recent progress in the quaternion analysis' 'The principles of elliptic and hyperbolic analysis' -- subject(s): Vector analysis 'The imaginary of Algebra' 'Elementary mathematical tables' -- subject(s): Mathematics, Tables 'Vector analysis and quaternions' -- subject(s): Quaternions, Vector analysis 'Bibliography of quaternions and allied systems of mathematics' -- subject(s): Bibliography, Quaternions 'Principles of the algebra of physics' -- subject(s): Vector analysis 'Application of hyperbolic analysis to the discharge of a condenser'
for the vector analysis
Force can be resolved into horizontal and vertical components using vector analysis. However stress cannot be resolved into horizontal and vertical components using vector analysis since it is not a vector but a tensor of second order.
The direction in which the trend analysis points.
Frederick Warren Bedford has written: 'Vector calculus' -- subject(s): Vector analysis
It can be for example in Vector Analysis when you integrate a vector over a certain area the integral arguments (dxdy)together can be a vetor. (actually strictly saing it's a pseudovector)
Thomas H. Barr has written: 'Vector calculus' -- subject(s): Vector analysis 'Naval Warfare Analysis Experiment' -- subject(s): Management 'Multivariable calculus'
Paul Arnold Clement has written: 'Parallel vector spaces ..' -- subject(s): Vector analysis
That's a vector whose direction is exactly opposite to the direction that you designated as the positive one when the exercise or analysis began.
Tatanga-tanga! Magbuklat ka ng libro!