Quantify the World ( 3) - quantitative methods and

concept: the value of concept: strict quality requirements and the amount of provisions to be a thing of other asset to discriminate the concept; namely in the elucidation, in determining the conditions under explicit the amount of extension and intension of the concept alternatively the range of a clear concept of the digital contract; or concept namely constitutes the concept has been purified until a set of values ​​defined along the said concept.

example: solid, liquid, gaseous, days, hours, etc., using these concepts to express the amount of the quantitative relationship, as if to express the amount of cement used.


to quantify does not average that everything described as a number, this is a misinterpreting. Quantification is defined to mean: a team with a clear concept of the amount or volume and their relationship to depict the characteristics of a thing. Will be skillful to carry out such a thing go, we phone these things can be quantified. This team constitutes the amount of constants and variables, present in a range or run a particular statute. These range and we have a clear grasp of the law. Method to quantify the most major is the mathematical method. The so-called mathematical methods, is the scientific and technical issues to solve and explain the mathematical theory of the use of tools, that from the quantitative facet to study the campaign of substances and their methods. The role of mathematical methods as:

1, for scientific research to provide simple and precise formal language to describe the research problems, express scientific content, simplify and more and more the preoccupied process;
;
2, for technological research to cater quantitative analysis and measurement of method and techniques in order to study the quantitative analysis and precise figures, to accurately grip the specifics of quality and variation;

3, for scientific research to provide a reliable tool for rational reasoning and proof, in order to make scientific prophecy, further the grasp of the feelingful experience of the objective world.

Specific methods include: mathematical modeling approach and the axiomatic method. Solve the practical problems of life program, basically a mathematical modeling approach. Mathematical model approach is objective and research through the establishment of the mathematical model of the thing to reveal the nature of the object characteristics and variation of a method. Using this method are generally necessitated to all over three steps:

1), according to real characteristics of the problem, the use of mathematical language, the abstract of the study of practical problems into a mathematical problem, the establishment of appropriate mathematical model,

2), analysis of mathematical models, detect the mathematical solution;

3), will quest The mathematical solution was to return to the practical problems, the solution of mathematical explanation and appraisal fashion to determine the tangible or expected problems.

quantify the basic principles and applications:
First, the elementary classification and quantification of the amount of points

mathematical model used in the amount of sub-constants and variables into two categories, which variable refers mainly to the time variable and space variables, condition variable. Constants include:

fixed amount: the concept of determining the amount or specific values.

example: 100 meters world record is 9.77 seconds; Jamaican Asafa players - Powell built the latest globe log. Here, the 100 meters, sprinting, world disc, 9.77
, seconds, Jamaica, athletes, Asafa - Bowie, create, current concepts are all quantitative, are too fixed amount.

range volume: is, a continuous fixed amount, a phase range of a fixed amount.

example: 90-120 lofty oppression customary blood oppression, low pressure is normal during the duration 70-90; behind each daytime from today.

volume conditions: that the amount fixed under different conditions.

example: When beneath 0 degrees Celsius, water is solid, while on 100 degrees Celsius, water is a gas,Lacoste Strap Trainers, between 0 and 100 Celsius, water is liquid.

more volume: the description of the relationship between two or more things,Lacoste Swerve Trainers, a fixed amount.

example: John Doe Joe Smith ran faster than quick; steel is denser than aluminum huge. Efforts to strengthen the words belong to more volume.
Note: as with, in common, piety, faith, carefully, center and other words it is complicated to quantify or impossible to quantify, in relation to outlooks, fancies, publicity can be warmhearted used, yet when it comes to characteristic things, specific operations and other aspects, and as many as possible be averted.

points

quantify quantify the amount involved is divided into two categories, 1 is the thing itself with the dominant properties, an is subject to measurement, statistics analysis obtained. The amount of such acquisition must note the following:
(1), measurements must be specified calculation, methods, equipment and conditions.
(2), statistics must denote the total specimen size, sample volume, scope, methods, standards and penniless conditions. Sample size generally take all the samples of roots and the number of parties, such as 100 samples, sample of 10. 10000 samples, sampling for the 100 and so on.
(3), the amount of the scope must be marked on the lower scope.
(4), most of the concepts is to quantify the concept, but its scope is often also large and therefore tend to accept the concept of the level collapse of the amount of re-bound with a access to alley the scope.
such as running, jogging, run, run, etc. using your maximum speed.
(5), comparing the amount can not be used, the amount of need-related concepts together. For example: colossal and small, nice, bad, high, low, strong,Lacoste R75 P2 Trainers, languid, light, heavy, fast,Womens Lacoste Carnaby Trainers, slow, etc. absence to head and body, test scores, the production level, brawn strength, together with equal weight. More volume when used alone, can be regarded as non-quantifiable amount.
(6), even although the concept of comparing the amount of volume and used in composition, such as a fixed amount without beyond approval, then the actual amount will still beyond the scope of our imagination. Therefore, if possible, with a clear concept of re-agreed amount of amount of more specific values, is more suitable for quantization.

example: this thing than that weighs 5 grams.

John Doe Joe Smith ran faster than three seconds
II.

all mathematical models are based on the model of science above, whether descriptive, analytical, predictive or decision-making of; and each kinds of scientific models have three another stages: First, clear speculations; then deduce from these speculations, all of their meaning, and only infer these meanings; the last of these meanings with the observed data for comparison.
1, build a mathematical model requires:
(1) constitute the mathematical model of each data has a clear, ample accuracy; data relationships based on the full.
(2) mathematical expressions used as reference standard form;
(3) model should be easy and practical; controllable, cozy to manipulate
2, the steps to build mathematical models:
to create mathematical prototype to promote the use of systems approach, PDCA process approach, the full maneuver, using systems theory approach to the phenomenon under study subtle and thorough investigation, for many as possible to obtain detailed digital data, and should do someone Qucuqujing, Quweicunzhen by This proceeding from appearance to the inside of the in-depth analysis to nail the main elements and the relationship among the number of ingredients, in mandate to establish mathematical expression, and effect in practice, reiterated correction model. Final theory put ahead the hypothesis. Specific steps are It’s about time:
(1), according to the intention and mission, the use of systems theory reach to study the phenomenon of system-wide thorough investigation to obtain a lot of file, and data sorting;
(2), the use of scientific calculating, observation and analysis of data, identify key constants and variables, to identify the main factors affecting the system;
(3),Womens Lacoste Shua Trainers, base that the amount of common and individual characteristics and joint relationship, clearly the scope and volume of each system operating constraints;
(4), the provisions of characters, codes, menu the number of narratives in line with the objective reality of mathematical expressions;
(5), the algebraic relationship because simplification, consolidation, establishing mathematical models;
(6), based ashore practice data and test models of the credibility of objective data, and models to make suitable amendment;
(7), and the model of the phenomenon of state changes specification of the law, the corresponding theoretical hypothesis.
3, a mathematical model of Note:
(1), only things that can be quantified mathematical analysis and to build mathematical models of non-quantifiable things that can only build the qualitative model, meantime the qualitative model is not quantitative analysis.
(2), can quantify the amount of things that must be the concept. Otherwise difficult to determine the number of things.
Although mathematical models to reflect the relationship between the number of things, but some mathematical model must start from the qualitative understanding of leaving the specific definition of the concept of theory, not amount of things to study.
many areas the amount namely under the definition of a decisive amount of quality, no amount of abstract numbers.

(3), to be comprised in the study can be quantified is constantly a lot of things, about uncountable, only to fail the vast majority of things, retained a small amount of the main things to do research. Major or inferior things with the alternative of things to make sure is fussy.

(4), even for these key things, many areas of mathematical models can only be any of a number of conditions of period and space to create.
Because there are many problems and many social phenomena in an erratic state or critical state, so accordingly developed a mathematical model must have a strict time constraints.
such a large domestic investments in the long-term truce and national design possibility analysis model, we rarely consider the factors of combat, but in Iraq, Iran, North Korea and other countries, we must consider the factors of war.

(5), constructed according to data collected mathematical model can only be counted as an This formula calculated value is only an estimate. The smaller the range of accuracy, the estimate closer to the true value of machine value.
mathematical formula thought value depends on the nature of the value of the formula essay.

(6),Mens Lacoste, with the construction of mathematical models to unravel the directions in the dynamics of the phenomenon, we have to disburse care to spatial and temporal alterations in conditions, we must think the character of non-quantifiable factors, and factors in certain conditions, into the afterward to the possibility of the main factors.
For example: Government departments in accordance with the construction of mathematical models to develop appropriate policies to accommodate the corresponding economic operation machinery, the body will lead to a number of economic interests to take appropriate countermeasures, as well as part or even entirely change the native economic behavior, which will economic performance results with the incipient model the expected result of a larger gap.
(7), all of the mathematical model of the operations are conditional, so the results suggest that the use of computing problems, constraints must be listed. Even if you think that some of the constraints of general sense, it should be specified. Because prevalent sense itself there is a colossal feud, and everyday life, many quantitative results on the reasons for objection are deserving to different perceptions of wisdom happened. Meanwhile, many people feel bad intentions, they are mostly common sense to use the differences of different spiteful deception and concealment.

many human favor to use breakthrough.

next idea will be to quantify the expression of some debate, amuse proceed reading to penetrate.