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functions, derivatives and integrals.

Let's review the most colloquial way possible mathematical concepts that have nothing to frighten, we will try to make them as intuitive as possible for you to succeed if you have them examine you or to simply find pleasure in their understanding.

The function is a relation that links the independent variables with the dependent variables, such as an independent variable x may be the age of a child and the dependent variable is the height of the child, the role that relates will be a proportional relationship of the type y = kx where k is a number that gives old multiplying height.

This function can be represented on axes Cartesian placing the values \u200b\u200bof x the horizontal axis or abscissa and the corresponding and on the vertical axis or ordered in this way linking the pairs of points we get a straight in the example, so that function was more representative of reality should add a value b which would be the day of birth weight, so the function would be y = kx + b, is also very common and replace f (x) being f (x) = kx + b.

k value is also called the slope of the line and is a value that gives us an idea of \u200b\u200bthe inclination leaving the line joining pairs of points (x, y).

This slope is numerically equal to the value of the trigonometric tangent of the angle between the line with the x-axis, we write k = tg alpha being the angle alpha.

Also called ab intercept to be the value of y when x is zero.

This case is very simple is the case in which the function is represented by a straight line, but a function is used to express many phenomena in many sciences such as physics or economics , we some independent variables whose relationships give us the dependent variable in the simplest case of a single independent variable x can easily represent the function in Cartesian axes line up to look like her example, a parabola if exponent 2 appears in the independent variable that is y = kx2 or parabolic curves look for other exponents.

are also very representative of scientific phenomena and the exponential curve logarithmic curve.

In general cases the curve will look more or less snake-like functions and polynomial which is equal to a combination of additions and subtractions of powers of the variable x, or appearance of such hyperbola with two branches when the function is a fraction of polynomials with variable x in the denominator.

We will introduce a concept causing terror, but has to be very intuitive, the derived function of another function, usually represented by y 'or f' (x) or dy / dx.

Conceptually derived function is defined in another function that gives us the values \u200b\u200bof slope of the tangent line to the first function at each point x.

It is of great utility to study functions as we reported the appearance of the function f (x), ie when the value to take f '(x) is greater than zero the say that role is growing, this is that with increasing x increases y.

The opposite case, if the derivative function f '(x) is less than zero say that the function is decreasing, that is to increase and will decrease the x .

And it is important Cundo f '(x) is set to zero because we have a maximum or minimum value of the function f (x), ie a ridge or a valley of the curve.

A practical use for this are the problems of maximum and minimum which normally have a function z which depends on two variables x and y, ie z = f (x, y) ; but usually these variables are not independent, there is a relationship between them dependence y = g (x) where g is another function

Example: The square is the minimum figure for a given area perimeter.

demonstrated that given an area to the smaller rectangle is the square perimeter.

Let x and y sides, so that A = x * and equation of conditions that meet the dependent variables.

l E perimeter P = 2x +2 and

As y = A / x replacing the role that we want to minimize, is

P = 2x +2 (A / x)

P = (2x ^ 2 +2 A) / x ;, what role dP / dx = 0 for the x that makes the minimum perimeter

dP / dx = (4x ^ 2 - 2x ^ 2-2A) / (x ^ 2) that equal to zero

2x ^ 2-2A = 0 so that x is the square root of area A being the same value for y.

Finally we introduce the concept of Integral or primitive function which is none other than simply an inverse relationship between functions, ie if f '(x) is derived function of f (x) is said that f (x) is therefore primitive or integral function of f '(x) = F (x), the definition is therefore a logical relationship.

Then there are practical methods to compute derivatives and integrals.

Should be noted that while any function that can be derived according to the definition of a derivative function will always have a tangent line at each point and the derivative is the role to you the value of the slope of that tangent line.

Not all functions can be integrated, since to have primitive function must be derived from someone and that does not happen for any function, only those obtained by deriving another.

I hope I have shed some light on these beautiful mathematical concepts

Jenna Jamesson On Boat

comics.

An entire generation learned to read and laugh with comics and editorial Bruguera gone, all placed with a clothespin on a string on the newsstand or in the post cards and pipes, neatly placed for their colorful covers our attention, there were more comics than enough to cover our little pocket money, as brought no fresh news of the press over the other option was to buy back much cheaper, almost given away comparatively sellers who stood in the door of the meter as precursors Top blanket or who stood at the entrance to the pool in summer and a bit of money I got a few comics, for example four comics for a hard, silvery those five pesetas, what it would cost the comic of the week.

I said the comic, but it was every comic because there were many, I'll try to remember, was the Tom Thumb yellow cover, the cover of DDT with the color green, orange Dan Din I, Uncle live with the blue cover and the Barnacle 13 Rue Ibanez on the back, a neighboring block where a page had many gags, it is worth remembering, on the ground floor was the grocer, or selling merchandise Hissing always questionable in the gutter, under the cover was a "squat" in the portal was always something, on the first floor ; the doctor and his monsters, including a Frankenstein, next to the board with the landlady, on the second floor the old woman animal protection and the tailor, the third the thief and his wife and mother and mischievous children and in the attic the defaulter and the mouse that makes life impossible for the cat. A great site.

In all these comics lived a legion of having one two or four pages, remember some, Anacleto secret agent who recalled the agent 077, star of a television series of the time, the sisters Gilda, Leovigilda and Hermenegildo, one with bow and fat and one slim and sophisticated, who sighed Carpanta for a snack or a roast chicken, and I leave for popular culture the phrase "You're hungrier than Carpanta" the stubborn redneck and Agamemnon, Pepe Gotera and Otilio and odd jobs, Pepe Leak was the contractor and Otilio the waste operator, the buttons that all occurrences Saccharin end up suffering the President and Dire looking guilty, the three characters of the bank, or the unique myopic Rompetechos I read all the posters with their subjective myopia not conceive ever twins Zape Zipi and a blonde and a brown slippers with his father Don Slipper, and the kings Mortadelo and Philemon, TIA agents where her Chief, Super superintendent and the professor Bacterio, the sage who designed the prototypes of the TIA.

These last two pairs are independent in their own comic books with their names and the last time the Mortadelo and eclipsed Zape Zipi and Tom Thumb, DDT, and Uncle Dan Din Live and of course the other three oldest and most were not the editorial Bruguera, these were the Louie, the Pumby and Ulises TBO with the family as a star and the inventions of Professor Franz from Copenhagen, but in decline against the freshness of Zipi and Zape and Mortadelo.

was also a comic book just for girls named Lili and sometimes men fell into our hands and we read with great curiosity.

comics were completed sections for letters from readers, jokes, cartoons loose and advertising to children, and the pages of comic adventures as Iron Corsair.

There were two other heroes like the Iron Corsair that had their own albums Were the Jabato and Captain Thunder, along with the albums translated Tarzan, Superman and Batman.

imitating the collection appeared OLE! with album case of the main characters Bruguera, who had his predecessor in the comics that were published monthly and they put the Super in front of your name or Superpulgarcito Supermortadelo.

An entire industry has taught us to read, laugh and dream , which have lost our children.

Planets Information On Shani In Hindi

My first car: the Renault Gordini.

A souvenir will bring you any other car you will discover a time do not know.

was the first family car was bought in 1966, I drove from 1982 to 1991 in year 82 still hobnobbing with the cars of the era and one so advanced with their 105 Km. / h top speed without the car vibrate, from that speed appeared to be going to pieces, but in 91 when I park by a blow given to me, and cars will advance all the time and began to be dangerous because its speed was below average, however the blow they gave me stopped at a light sending in the back.

My father was very fond of him and has spent 20 years under the sleeping car in a garage and out from time to time to sunbathe and once a year to pass the ITV.

They called the car of widows because it had rear wheel drive and in the curves was a lot of people and not told, was a very powerful motor car for his time and his body had the same engine then took the Renault 8.

In any garage or workshop I always said if you knew that the car was called the widows, and a cousin or an uncle had it and I put two bags of cement in the trunk forward or a steel plate case is that my father, my brother and I drove it without any extra weight and we care.

From my Gordini I have many anecdotes, marked the first half of my life, first as a child and then as a young driver.

There are some very curious, I will relate some,

One day my father brought a mirror to put it on the side the driver, until that day and I reckon it would be around 70 or 72, there had been nothing more than the rearview mirror, not surprisingly, there was virtually no cars in Spain and who was not looking in the mirror, and when came a plenty of it coming in the rearview mirror,

Another day brought some belts and were not for pants, belts were totally useless in those cars so old, they had no headrest the neck to protect you, just wanting to come another day with a few balloons and say that we would call airbags.

trips were an ordeal, a Madrid-Benidorm 450 km in 8 hours by two-way roads ahead of the few trucks but also had his pestering him to sometimes formed a caravan ten or fifteen cars behind a truck for more than ten minutes before he had visibility to advance, was the Spain of 600 and the Gordini, and 1500 and 2 hp 850 and 1000 Simca and prior to the highways, going to be that what appears in the program tell me Some we can tell because it was our life.

But in those pre-democratic cars could all, to grandparents, dog, cat or the canary in its cage that took up more, and suitcases with luggage for everyone, but had a very handy item , a cow with some elastic and a plastic octopus is was a package as we now see the Moroccans and Algerians who cross every summer to catch the Ferry to Algeciras.

I remember as a driver and my first year as the 82, a trip I did with my Gordini to Barcelona from Madrid, I had to spend the night in Zaragoza!

But I gave good service during my college years while my colleagues were laughing unfair car when it mounted through the holes left on the floor pedals clutch brake and the street and I saw said that if we would have to stop with his feet like Fred Flintstone in his mobile trunk.

What they saw was not like in the morning had to scrape the inside of vapor condensation of breath froze in her windshield, and is heating never worked on that car and travels morning in Madrid of 80, were not covered, were stays in endless traffic jams, then the fleet if it had grown but the roads were the same as the 60.

There were three models, the oldest were the Dauphine and Ondine, the Gordini was the last model, although all three were identical in bodywork, the Gordini engine was the most powerful and one of the first two , the Ondine or the Dauphine was produced initially with a gearbox only three speeds, was the third direct.

I am very tall and not wearing the visor, like the roof was curved, stretching I was not the sun, it was normal to be afraid to go to see the road curved.

My father was traveling when I explained all the parts they had in the trunk, but I it was denied for the mechanics, said that if she had a breakdown would go to a workshop, would open the hood and tell the mechanic was served, with confidence, and in particular had an electrical fault was often the points that came together, my father insisted on teaching me how to fix it, remember I said we had to separate the ; thickness of a business card, I told her that if they met the points, the only thing I could do was open the hood and please ask them to separate.
Anyway, these memories are my tribute to my first car, which made me more excited.

Pilote Ethernet T3000

How to fit a single circuit with two pequetrenes of goods and passengers classics.

This is the third and last article I write about toy trains and Services Pequetren manufactured by Toy Industries SA de Alicante.

The first article tells how he was my contact with these toys and explaining some general aspects of the same.

described in the second the process for assembling a single circuit with two pequetrenes high speed, wide roads gray.

This third I will describe the process for assembling a single circuit with two pequetrenes of goods and passengers classic black extrechas track.

The process is slightly different because to form a gray circle and gray curves using 16 to form a black circle will use 12 black curves.

words, the gray curves rotate each 1 / 16 part of circle, that is 22.5 °, while rotating the black curves 1 / 12 part of circle is 30 º. Thus being more versatile for designing Cicuit gray with length. Instead Black has a piece of crossing that we shall see, and there is no gray in the high-speed series.

The pequetren website http://pequetren.eresmas.com/ can see the different models sold in each series.

The most common contents of a box of classic noir is in material track 16 curves, 4 straights, a track and a bridge (which are functions of two lines for circuit design) and a turn to left and another right.

This material may form the circuit of the first photo of dimensions 2.00 mx 1.00 m.

For the second box will also have the same content of tracks, interspersed the two new detours to close a second circle, increasing the dimension of 2.00 m to 2.25 m. Then we

curves on 12 and 6 lines (which coincides with the contents of the boxes of the trains have no detours) will form six pieces with two curves at the ends with opposite curvature and a line in the middle, each of these pieces 0.70 m increases the length of the circuit, staying with a size of 4, 35 mx 1.00 m with two closed circles in case we have deviations in the two boxes or 4.10 mx 1.00 m with a closed circle only if one takes detours a box.

also can put 4 of the six pieces in the midst of the four branches curved, half suffer a translation circuit for the other half.

If one of the boxes was the model Renfe goods crossing of the picture, build on a circuit of size 2 , 25 mx 1.00 m.

Le interlayers in a circle the deviations of the second box and 6 curves form a sort of parallel semicircles station with very useful at this track because the crossing can make the two trains meet head on, a pund refuge in one of these semicircles to avoid collision.

remaining curves and straight lines are the six pieces to be inserted into the second circle in the picture have been inserted 4, all give the circuit a total dimension of 4, 60 mx 1.00 m, being slightly shifted to one side the last circle to put the two last pieces left in the photo, well over 6 curves we can not be placed.

For this third article, and you have all the elements to choose your pequetrenes and request them in the letter to the Magi.

If you liked this article, I invite you to visit my blog http

: / / miscircutosdeslot.blogspot.com /

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How to fit a single circuit with two high speed pequetrenes. My pequetrenes

few weeks ago I wrote an article entitled "My pequetrenes" in among other things said it was a good choice for you to have children ask the Kings, two pequetrenes that the two could make an attractive circuit entertained to move simultaneously to the two convoys.

This pequetrenes devian be two channels of the same color, gray for high-speed, black in the case of goods and passengers classics.

In this article I will develop the steps to mount the circuit with both high speed pequetrenes.

The pequetren website you can see different trains manufacturing among which are those of the photos from the article: Hail, Talgo, Euromed, Alvia all reproductions Renfe trains.

The contents of each box pequetren is in material of track 22 curves, 11 lines, 2 turnouts (one right and one left) and one on track which is like a diversion but can only be placed in a sense of movement so that it is an addition to the main road.

This material may form the circuit of the first photo of dimensions 2.10 mx 1.00 m

http://pequetren.eresmas.com/

pequetrenes
When we two can do the following process we will see in photos, we take first the four turnouts and six curves on each side completed the inner circle and curves with eight on each side completed the two half circles outside, leaving the base dimensions of this circuit at 1.35 mx 1.00 m.

then build four pieces such as the following picture, formed by a bend followed by a straight, two curves with opposite curvature to the first, another straight and one curved with the same curvature as the first. The size of this piece is 1.10 m, the length of the rope is somewhat larger.

The increasing diversion sandwiched between circuit dimensions up to 2.45 mx 1 m

can turn one or two inner semicircles including diversions remaining circuits of the two following pictures.

We stay by placing two pieces of which would build before the circuit dimensions of 3.55 mx 1.00 m and four straight to give the circuit a longitudinal dimension of 38 cm or we could insert into the middle of each semicircle passing the transverse dimension d 1 1.00 m, 19 m.

One trick that can be used is sustuir two turnouts on both entrainment and asi'solo we must act on two other diversions as the entrainment collect for themselves the traffic to the main road.

The two deviations that have taken the place where they were leaving the encariladores fixed yaw needle will move to single track.

Now you just need to write the letter to Santa Claus.

If you liked this Table top I invite you to visit my blog

http://miscircuitosdeslot.blogspot.com/

Usb To Ide In Radio Shack

.

few weeks ago I wrote an article "The world of slot (the scalextric)" which besides having my beginning in this jovi, you could see pictures of my circuit designs and assemblies up to 4 different heights and dozens of steps at different levels.

When you reach that level with the scalextric I felt like researching the world of model trains, and discovered it was a real world, and that prices of track and rolling stock, which is the name of the trains in the argot of the railways, were excessive for an additional jovi and required a lot of money to do something fairly attractive.

But he to be an alternative and the found in toy comerciaales centers were trains for children (and parents) of the mark Pequetren are some toymakers Alicante, heirs to the tradition of the English province toy, and carrying almost 30 years of building and designing these simple and inexpensive toy trains, but also very showy.

have two sets of trains, train track with more classic black as the goods and the proximity of the photo, most cars are like toys old tin, with detours to a lever and locomotive with a light going on with the pile provides power to the locomotive. More

recommended for smaller number of vias is gray, this corresponds to modern trains on more routes are wide as the AVE, Alaris, Euromed, Talgo ,..., modern diversions that are SEIE completely flat without the lever and wagons full of plastic, making them more suitable for younger children.

Pequetren

Each box has 3, 4 or 5 depending on model cars and ways to form a circle of 1 m in diameter with two detours that lead to another semi-circle connected by three lines to the previous turnouts.

Each box has a very affordable price similar to a dfe scalextric car, about 35 to 50 euros. As only around 80 euros the Magi this Christmas can bring two boxes that have a sufficient way to assemble a circuit and quite colorful, and two train compositions that can be circulating at the same time, making detours to build different tracks of the season as in the photo.

have to be the two boxes of trains with routes of the same color, it is curious that especially in the case of black, the percussion of the wheels on the tracks sound very similar to the real railroad.

pequetren The company that makes available a simple and useful website where you can see their models, http://perso.wanadoo.es/e/pequetren/inf/esp.htm

off-season can buy them by mail Christmas tracks and cars to complete our model, since the Mexican in the boxes are few straight roads,

Trains can operate up to six cars locomotives, and we must be careful of two counter-rotating curved drop a line for the transition of curvature to another smoother, but it makes the train derailed. Well

write the letter to Santa and have fun.

If you liked the atículoo I invite you to visit my blog

http://miscircuitosdeslot.blogspot.com/

Comical New Baby Congratulation Messages

An introduction to the world of slot (the scalextric) Parakeets

Like many others of my generation had a little scalextric that amuse me more than frustrated because those cars do 40 years, constantly leaving the track and the track was so short that it was indeed boring.

But in my subconscious must have been the desire to investigate the potential of this toy,

A pinito as I did then, riding a variant of the circuit, causing an accomplice to my brother and leaving open the circuit due to lack of parts , receiving a scolding My father ran the risk of burning the huge transformer then took the toy.

Over 30 years later, one Christmas I thought that the Kings bring him to my daughter a scalextric, but really it was my subconscious, that he had left with the desire to investigate the possibilities of the toy he was writing the letter the Kings

And really looking forward to buy a small circuit which I expanded to a track changes, a chicane and slippery curves where cars simulating ice skating.

Twelfth Night mount it all, along with two other cars, and after the surprise and excitement of the first moments I realized that I had inherited the toy for me.

From that day I started investigating and discovered that there were many other brands besides scalextric were Ninco, Carrera, Revert, Scalextric, Slot, Fly, etc, etc ... scalextric launches only three or four new cars every month , so that the window of cars on the market is almost infinite.

why this hobby is the more general name slot that is as known in the world.

Here in Spain had a crisis when it closed in the early 90's factory was EXIN scalextric maker, after the patent manage two other companies with little hit, caught TECNITOYS has once again put the toy in the top of the ranking of Christmas gifts.

irresistible addition to the aesthetics of the car, which is a real pain when you see them in stores, remember our childhood when we stuck the nose to the window displays of toys, there is the possibility that the toy offers to design circuits, and I have fully exploited because my love for my geometry and formation of a civil engineer, the toy is for me as a laboratory.

Thus I designed and built spectacular circuits of up to four storeys and more than 30 m in length with lots of crosses at different levels.

I invite you to see them in my blog http://miscircuitosdeslot.blogspot.com and here I put some examples which I will comment.

This is the most difficult circuits still one of the most complex I've designed.

has four levels high. More than 30 steps to a different level where the pstas Cuzán.

This crowned by a roundabout at which enters and exits through a special piece of intersection at the same level.

peraltar properly is very important to all parts of the track circuit at any time press the bottom of the car wheels.

This is a curious loop or knot made of two levels with tracks that simulate snow white and have painted the ruts of mud.

.

In the top of the previous picture and the next we see a spiral or helix can be placed in a corner of the circuit, or in the center which is designed around the same

A Following is the details of a rally area and reverse curves made,

now have some photos of a circuit in which the cental line is duplicated in two heights, simulating a tunnel area .

can see the symmetry with respect the center.

And finally to end these examples, a circuit that we can remember two ports joined by a hill.

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Motivated learn

Mission Blog:

This blog is presented as a place where you can share information related to motivation and meaningful learning between teachers and readers interested in improving education, to support free expression, opinion and respect for others .

Carla González, Pablo Herrera, Tiare Vargas

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Factors not taken into account to motivate and generate significant learning, incomplete work.

already all know the many shortcomings that has our educational system today and how difficult it is to find effective solutions, but if we ask where are the shortcomings of education, the answer would hardly alone in the formal educational system, does the education takes place only at school? all, the media, the family, the city, are all learning environments for students and we know how to use even as objects of motivation.

know that in the globalized world in which we find is very easy to find information, just a single click to read, see or hear what we want when we want it, and of course that this situation is alien to education, moreover, must be one of the easiest to perceive changes in our classrooms and one of the most significant as well, This technological evolution that genre without change we knew how to study for our students and ourselves, the work and research of students no longer take place in libraries, but are made easy and fast in front of a computer without making greater intellectual activity. So how we could make significant student learning?, Apparently the implementation of the Internet is not enough.

What motivates our students? (Not going to think "nothing") as we have seen throughout our blog, and in general through our practices, people are motivated to various factors generally depend on the individual and others are more general, such as: the example of someone you admire (Maria wanted to be smart as their parents), to innovation within the classroom (the film is effective in relating the content of the classes with reality), the opportunity to get a better quality of life (which has not been achieved in school), have close contact with students and generate a good relations between members of the school community is essential for confidence in our students. To this we can add all tastes and personal situations of our students, we know very well within the classroom where people live totally different from each other, that's how some of our music students may seem ideal to concentrate and be inspired, for another the best way to get information may be watching videos and documentaries perhaps more than anyone will like the idea of \u200b\u200bhaving classes in a park, or that kind of language is language and not really writing class quiet. Generally what we do as educators, whether teachers or parents, is to ignore this kind of likes having students, tastes that influence their willingness to strive and encouraged by the materials. Generally these tastes (or guidance to some type of work have our students) are not hard to find or build and are quite close to our classrooms, all schools are equipped with monitors, music players, and above all, with teachers who can do their work and only need to open their eyes.

As teachers and parents that we were incorporating these tastes of students and children to the daily routine in a balanced manner with responsibility and expertise to be delivered, the quality of education would increase and our cultural level also, specific knowledge associated with different sciences and situations increase the possibility of creating meaningful learning and at the same time to feel wiser, and capable of learning automata, the motivation to take us on track to grow as teachers and children as people wise.

Pablo Herrera

General Basic Education Student

Installing A Scope On Marlin Model 80

Does it depend on economic factors in motivating students? Cinema

often justify the lack of teachers resources in the classroom work as a factor in motivating students, however this aspect ought not affect the stimulation process and incentives for teachers in their students when working the different subjects.

Thus the main focus of the class is often affected by this ground, and loses its basic function is to facilitate learning the main recipients who are students, regardless of various problems that arise in the classroom. From this perspective, the curriculum, content, and economic variables are important, but not the only ones that affect motivation, learning and performance you want to reach students.

Referring to the above is important to note that learning is a natural process of personal achievement of meaningful goals, and active, voluntary and internally mediated, which says it is a process of discovery and construction significantly from the information and experience perceptions and thoughts of the learner. This asserts that economic factors should not directly influence the school grounds, and that a teacher must work in different situations and be able to cope with the various conflicts that can face.

; As Ausubel says to him, " learning means organizing and integrating information in the cognitive structure of the individual. " Therefore cognitive structure, then, how the individual has organized prior knowledge, is a structure formed by their beliefs and concepts, and these should be taken into account by teachers when planning a class, this notes that the biggest variable that can influence the child's learning is what the student knows, which makes us think that the teacher to say you can not work with their students by economic factors, this should create tools to motivate each learning process in children, creating with it a parallel to their previous knowledge, what I mean by this that by enhancing the teacher mentioned above will create interest and participation of students in the learning process and this will enable significant learning in children.

Carla González
Student Teaching in Elementary Education.