Notes, abstracts, papers, exams and problems of Mathematics

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Ingles redaccion

Classified in Mathematics

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Mobile phones should be banned at school
Everybody says that mobile phones should be banned at school because they usually interrupt the class. However, I think that mobile phones are necessary because it is possible you need them when there is an emergency.
On the one hand there are some arguments to ban mobile phones at school. They annoy a lot if they ring in class. Students sometimes pay more attention to the mobiles than to the teacher. This is really the reason that teachers give, but students nowadays don’t admit any reason because they want their mobile phones to listen to music at the end of the class.
On the other hand if teenagers can’t use the mobile phone they will be very unhappy, bored and it may be necessary for an emergency.
... Continue reading "Ingles redaccion" »

The stages of learning as Dienes

Classified in Mathematics

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4.1 The stages of learning as Dienes
The learning process is a process based on abstraction, generalization and communication. This process of abstraction is to accurately analyze and Dienes identifies six different stages in it:
Stage 1: introduces the individual in the middle => Game Free
2nd stage: review, manipulate, get rules => Structured Games
3rd stage: becoming aware of the common structure to games made
4th stage: representation of the common structure graphically or schematically => Stage representative
5th stage study of the properties of abstract structure, which implies the need to invent a language => Stage symbolic
6th stage: Construction of axioms and theorems => formal Stage
Her pedagogical approach

... Continue reading "The stages of learning as Dienes" »

Matrices: multiplication, rank, determinant, inverse and Rouche-Frobenius theorem

Classified in Mathematics

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System Types
The systems of equations can be
classified by the number of solutions that can arise. According to that case may have the following cases:
· Incompatible system if it has no solution.
· Compatible system if you have any solution in this case can also distinguish between:
or compatible system determined when it has a finite number of solutions.
or compatible system when it admits an infinite set of solutions.
Fitting and classification:
Calculating the rank of a matrix for determining
1. We can rule a line if:.
· All the coefficients are zeros.
· There are two equal lines.
A line is proportional to another.
A line is a linear combination of others.
Delete the third column because it is a linear... Continue reading "Matrices: multiplication, rank, determinant, inverse and Rouche-Frobenius theorem" »


Classified in Mathematics

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A definition must have the following requirements: 1. Be as concise as possible, that is, do not include properties that can be deduced from others already included in the definition 2. Do not contain contradictions 3. Do not contain only negative statement 4. Do not contain ambiguities Altura: Segment perpendicular to one side that joins a point on that side (or its prologation) with the opposite vertex, 3 alturas, ortocentro. Apotema: Segment that joins the midpoint of one side of the polygon with the center of this. Toulmin: fact ()- modal cualifier(always)-conclusion()-warrant()-backing(). Interior angle: The polygon of n sides can be decomposed into n-2 triangles. Therefore, the sum of the interior angles of the polygon would
... Continue reading "zdfxf" »

Good morning, have you got

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Written at on English with a size of 1.38 KB.

many people buy brands and give up wearing something that is an imitation fot not being true, and think that they will not give a good image to the rest.

On the one hand, it is true that they are of better quality and last longer,although imitations are sometimes very good too. A brand is also known all over the world. When they are seen by people, people want more of that original product. Your friends will not judge you if you wear something brand and will see you as someone who has money, when it shouldn't be this way. However, imitations are cheaper an seem original,you save money and the image you give is the same, since sometimes it noticed that it isn't imiation.

For me, imitations help people who want something and the original price... Continue reading "Good morning, have you got" »

What is the time of the pet

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Expense: Will it cost a lot of money for the municipality? Is it worth it?

Inclusiveness: Is it just for young people?
Accessibility: Can people get to it easily? Public transport connections?
Versality: Can it be used for other activities or events?
Safety: Is the lighting good at night? What type of people go there?
Usability: Will people go there in summer and in winter?
Durability: Will it last? Are the materials good?
District, area, houses, flats, street, infrastructure, square, park, block, pedestrian, urban, growth, pavement, neighbourhood, industrial, space, bik-lines, services.

Accessibility and Connections: Can you see the space from a distance? Is its interior visible from the outside? Is there a good connection between
... Continue reading "What is the time of the pet" »


Classified in Mathematics

Written at on English with a size of 1.12 KB.

Formal letter

We are writing in reference to your new products advised in March 23 edition of “Info Globe”. We are a software company based in Berlin which specializes in Games Development.

Our company is currently developing a new software to improve old games quality. We are interested in designing a new video game console which would works with old games with a better graphics quality.

 We would like to request a catalogue of your lasted collection that was advised in Info Globs. Please let us know if you would be interested in scheduling a meeting.

 I look forward to hearing from you.

Yours sincerely, M Walton

Concept of education

Classified in Mathematics

Written at on English with a size of 1.38 KB.

Did you know that Germany have one of the most attractive educational systems in Europe for boarding students? Aaccording to some news paper Germany, England and France have been chooser by students to be destiny of knowledge, but, what about Spain?

Every year, Germany, receive thousands of scholarships and applications to get into university because out there, is totally free. However there is a set number of places. 
On the other hand, Spain have made students become closer to new technologies, not only the quality of education have improved, also new technologies have made students being motivated.
Spain and Germany are alike because both of them have their own language as a subject. Even both are loccled in Europe, Germany divide the students
... Continue reading "Concept of education" »

V-n graph

Classified in Mathematics

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parellel=orig equation      PP = - recipricol

x= -b(+-)SQROOT( b^2-4*a*c)/2*a, complex solutions     vtex= (negative) (-)b/2a

(x/2)^2                                                  if a > 0, then the parabola opens up

Parabola form = a(x-h)^2+k                                             if a < 0,="" then="" the="" parabola="" opens="">




N=odd and an>0= Falls Left + Rise right                                                                                                 

N=odd and an<0= rise="" left="" +="

... Continue reading "V-n graph" »

Math Symbols

Classified in Mathematics

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In the examples C = {1,2,3,4} and D = {3,4,5}

SymbolMeaningExample{ }Set: a collection of elements{1,2,3,4}A ∪ BUnion: in A or B (or both)C ∪ D = {1,2,3,4,5}A ∩ BIntersection: in both A and BC ∩ D = {3,4}A ⊆ BSubset: A has some (or all) elements of B{3,4,5} ⊆ DA ⊂ BProper Subset: A has some elements of B{3,5} ⊂ DA ⊄ BNot a Subset: A is not a subset of B{1,6} ⊄ CA ⊇ BSuperset: A has same elements as B, or more{1,2,3} ⊇ {1,2,3}A ⊃ BProper Superset: A has B's elements and more{1,2,3,4} ⊃ {1,2,3}A ⊅ BNot a Superset: A is not a superset of B{1,2,6} ⊅ {1,9}AcComplement: elements not in ADc = {1,2,6,7}
When set universal = {1,2,3,4,5,6,7}A − BDifference: in A but not in B{1,2,3,4} − {3,4} =
... Continue reading "Math Symbols" »