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Prize twice! : O)

blogghine Hello friends, life this week has kept me away from my tiny space, so many revolutions, so many races and issues that never fail, even though there are new here ... but there are concerns as always you the best of a bad game, there's always a glass half-full can watch somewhere, right? When my little one was greater and was afraid of a lot of things I always said that even if you see so many dark clouds, it can still be sure that behind them the sun shines strong and there's that have the patience to wait until the wind comes and sweeps away ..... ergo, we have faith! : O)))

And in these days when I got to sit down here at my window this big virtual world, two friends and I thought they sent me two rays of sunshine given this award:

and so I thank both Barbara that Niky for thinking of me on this occasion, you're cute and sweet girls and I thank you for your words: o). So now the task falls to me to give the award, I would have lots of blogs to report on these three but I will stop and I'll explain why:

- to Maria because we sisters and there is nothing else to add: o)
- to Lò because in the last year I had the pleasure to meet you and I liked what I understand her.
- to Manu because even if we do not talk often, we know that: o)

girls Now it's up to you:
- write a post and insert the link of the person who has passed the prize;
- appoint additional 3 / 5 blog in accordance with a very personal choice;
- to alert the concerned of the future assignment.

think what I'm going to baste for dinner and before you say goodbye I say to that previous post of really curious to know what will derive by those angels blue angels a break because you have to wait at this time took over the wonderful: o)

A hug and good Sunday to all

Christian ps: I almost forgot ..... wish Dad! !!!!!!!!!

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Definition of conditions necessary and sufficient theorem

A theorem in general is interpreted as a rule laid down by some mad scientist. But the theorems are in logic.


Defining theorem:
A theorem is a phrase consisting of two propositions or utterances linked together by logical connectives of implication or coimplicazione material. A theorem is a molecular proposition.

says: "Only birds fly," as if we had said, "To fly, birds must be" or that "If an animal flies, it's a bird." Therefore "a bird" is necessary in order to fly, while able to fly enough to be a bird. From this we deduce also that 'all birds fly, "and this is not true. So the reasoning behind, speaking of logic is correct but it is false because there are birds that can not fly (ostrich, goose, duck, penguin, chicken, ...).

A theorem can be expressed by material implication or coimplicazione. The premise is said hypothesis, while the result thesis.

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Given two statements Zex, z ↔ x according to the logic means that z is necessary and sufficient condition for x, and vice versa.

coimplicazione The material implication is the same as the reverse implication. To say that coimplica z x, z implies is like saying that x and x implies z.


Examples:
g "Mother Mary"
p: "Mary has at least a son
g ↔ p:" Mary is mother if and only if it has at least one son
To be a mother, just to have a child, but it is also necessary to have it otherwise you are not mom. And vice versa.

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necessary condition

Given two propositions to and with b implies that b (a → b). We can say that the result is b necessary condition for premise a.


Examples:
r: "John lives in Torino"
w "Gianni fans of Juventus'
q = r → w:" If John lives in Turin, then fans Juventus'
Obviously not all people who live in Turin Juventus cheering, then q is false only if John lives in Turin and Juventus fans, in other cases it is true. In logic, r → w implies that w is a necessary condition for r, but in reality has no meaning, because to live in Turin, Juve do not have to cheer.

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sufficient condition

In material implication between two set out to open → b, a is the premise and b the result. We can therefore say that the premise to a sufficient condition for the result b.

Here are some examples:

to "Miao is a cat
b:" Miao is a cat '
to → b: "If Miao is a cat, then is a cat '
Basically it means: Miao to be a cat that is just a cat. While a cat, you must be a feline.


d: "Marco is Italian"
s: "Mark is the Calabrian 's
→ d :" If Marco Calabrese then Italian "
That is, for being Italian enough to be from Calabria, but to be Calabrese you must be Italian.

d → s: "If Marco is Italian, then it is the Calabrian '
things change here, in this logical reasoning is correct regardless of whether it is true or false, since it is only of two sentences connected by a logical connective. But in reality it is a false reasoning, because being Italian does not mean you must also Calabria, so if s is false, d → s is also false .

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numerical sets

The numerical sets are sets that contain a defined range of numbers. Have the effect of all possible combinations of digits of the numbers of the alphabet. The alphabet of the numbers is the set that contains all the digits, such as Alfa = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} . Taking
n items from A, also repeated, if we have them in sequence, we have created a number which, in turn, according to certain rules of arithmetic represents a quantity of objects.


Here are some sequences of numbers: 124, 895, 21, 7, 993, 567, 33188. Each sequence is just a number and represents a quantity, also should be noted that not represent a number using a mathematical set as the second set theory, a set can not contain repetitive elements and the order in which they are arranged is immaterial. (Eg: the set A = {9, 9, 3} does not make sense, since the element 9 is repeated and the order can be changed, and it is always the same set, then B = {3, 9 } is equal to A.

List all items in a set number, it is not convenient since the main numerical sets have infinite elements.

To determine a set number, as all the existing collections, we must first determine its entirety or by listing or by characteristic properties.

If we use numbers to express how much we have to create rules that allow to determine these quantities. For example, the element 0 of the whole Alfa nothing expresses a quantity, that is nothing ("I have 0 apples 'equals' I do not have apples), while the first element expresses a quantity equivalent to a single object, and so on ... however we all know the amount that each icon corresponds to single digit. If we need to count more than 9 items, we can not use a single digit, so there are rules that allow the expression of infinite quantities.
repeat, the numbers are sequences of digits, each digit is contained in a box and the amount that represents the amount depends on the location of the box in the sequence. Going from right to left, each next box is a larger amount multiplied by 10 (cardinality of Alfa), and this is a fundamental rule that provides us with a numbering system to represent quantities. Thus, we can say that the first box represents the unity, the second tens, the third of the hundreds, the fourth the thousands, so ...

Examples: Given
number 673, the box contains the number of units 3 and then we have already accounted for 3 units (objects, houses, trees, dogs, books, computers ...), the box of ten has the number 7 which should be 7 units, but Since we must adhere to the specifications of our number system, the number seven is multiplied by 10, making 70. And so continuing, the build number.

sets of numbers are distinguished by the range and some properties. Are as follows:

• The set of natural numbers (N), which has as elements the numbers expressing quantities of natural , then from 0 (no amount or no amount) to infinity (∞).
• The set of integers (Z), also called for, with an interval (- ∞, + ∞), which has a 0 in the middle, before the zero mark with negative numbers - and after the zero with the positive sign + . In summary, the positive numbers we define quantities, while the negative amount that we lack (which do not have). (Ex: "I miss two apples" is equivalent to "I have apples -2).
• The set of rational numbers (Q), which numbers are represented by fractions.
• The set of real numbers (R) that brings together all the numbers represented.

Article be concluded.

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How to develop the 'self-esteem in children.

esteem for children ..? a subject that would seem out of place, but I think that in a society where the materiality of the objects has a value too high, sometimes more than people think it is a theme to be treated.

teach our children to have, and identified with a trade, like .. "you need to become a doctor, an engineer, an architect, a lawyer, recently alas a tissue, but rarely teach them to have good character, good human values, a healthy self-esteem, and a firm confidence in themselves.


Babies are born without a self-image. The image that receives a child of itself depends on the stimuli and the feedback it receives from the environment, and in a fundamental way by the examples of parents.

But we see how different children with a high or low self-esteem.

Children with low self-esteem: are those who often feel a sense of inferiority, lonely, difficult to resist social pressures, poorly tolerate criticism, give little emphasis to positive reviews and focus on those who believe they have flaws.

Children with high self-esteem: they tend to be active in the claims, experience feelings of acceptance, pride, self respect, have confidence in their ability to cope situations, have the capacity to deal with any negative opinion of others.

But now we see how parents with children ....

Parents of children with good self-esteem accept their son, transmit rules, know how to say NO and are able to maintain the position taken without being soften but always clear and precise limits.
The demands and expectations may vary according to age and ability of the child, recognizing spaces promote individuality, needs and emotions.

Parents of children with low self-esteem rather an indifferent and cold: ignore, use labels like "you're lazy, annoying, etc" and put the children in comparison with other eg. brothers, threatening to leave home if the child does as they say, snort when the child asks for something or wants to talk to them.

But parents can take action to promote a healthy self-esteem in children?

Sure!

Here are some important tips:

1. Be a positive role model: parents must first cultivate their self-esteem

2. Praise the children not only for work but also for their commitment

3. Recognize the small and large successes of your child

4. Encourage them in what they can not, spurring to give the maximum

5. Identify the erroneous thinking and rigid and modify the child: for example, "I am a donkey in mathematics is good to say .. mathematics is just one of the subject .. this maybe you need more time, we will work together! "

6. Be spontaneous and affectionate: show them how much you're proud of him

7. Help your child to be involved in constructive experiences: activities that encourage cooperation rather than competition


These are just some tips, suggestions then go into that.

Greetings

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correspondence

To better understand, here is a definition of correspondence :
Given two sets A and B, there is a correspondence between them when a function every element of A has an image in B, and every element of B has a controimmagine in A.


So two together can be put into correspondence only when they have the same number of elements (cardinality).

Usually a report is a set of pairs generated by a proposition open to two variables p (x, y) becomes a function when each element of first set is present in at least a couple becomes a bijection when every element of the first or second set is present in only a couple.

Here's an example:
A = {A, B, C, D}
B = {1, 2, 3, 4, 5} With the following function
injection (one correspondence):

And the following bijective function (correspondence):

analysis of the two functions in the images we deduce that:

1. In the first match is unique and the function is injective, because the domain of the function corresponds to all A same and every element x of A has a distinct image in B.
2. The second correspondence is bijective and the function is bijective, since even the codomain corresponds to B and each element has associated with a single line item in the collection.

Here are some examples :

1. The binary alphabet is B = {0, 1}, and a signal to be interpreted by the CPU or any electronic circuit, must be translated into an electrical signal with voltage, such as the voltage of 0 corresponds to the binary 0, 1 and 5 is the voltage rail. We have created a correspondence between the binary alphabet B = {0, 1} and the set of voltages Circuit considered V {0, 5}.
2. A bijective function more complex can form between two classes of a school, 1B and 2C. 1B = {Mark, John, Michael, Lorenzo, Angela, Vanessa, Isabella and 2C} {Mary, Francis, Anna, Frances, Joseph, Simon, Luca}, a relation R: A → B given by p (x, y) "x is of the same sex y ' with x ∈ A and y ∈ B. R can be considered as a bijective function, it examined the set of pairs is obtained, analyzed the domain, codomain, and correspondence that you create.
3. between two cars (Fiat Punto and Volkswagen Golf), if we consider the set of standard parts the first and second (ie every car should have. For example: front left wheel, front right, rear left, etc. ...), we can make a correspondence between the sets as each car has to have those pieces. But if we consider the total set of pieces of each car, we will not have a correspondence, and perhaps even a function.

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Championship qualifying ITALIAN YOUTH

Partial results were published for the Italian Youth Championship qualifiers to be held in Terni from 26 April.
With one tournament still to play, starts to define the list of participants in our region. Regarding the category
UNDER 21 MEN (1 vacancy) seems made for Marchisio, who will look the possible return of Francesco Puglisi, winner of the 1st tournament of the season, then absent in others. If
Marchisio should center the end, even an eventual victory Puglisi not take away the pass to Terni. The Top Spin Frosinone no athletes in this category.
very messy, the situation in the category JUNIOR MEN (3 seats), where less than 6 athletes will vie for the seats available!
currently commands the standings Valerio Marzulli, the only athlete sure of qualification, from its 40 points. From the second of our
Damiano Sciullo Caldarini come out on the sixth of the names of two who joined by Marzulli. To obtain the qualification to serve our athletes at least one semi-final (won all round with victories) in the last regional youth tournament.
only apparently resolved the situation of the class MALE STUDENTS (2 seats), where Turi and Solari Brinchi have a significant lead on the third in the standings.
fact, there are also possibilities for the third and fourth in the standings, as both Turi Solari that can qualify directly from the national tournaments.
If even one of the two would make it the national game would fall in our Cosma Costantini, currently in fourth place, a few points from the third, Brinchi. Theoretical possibility for Valerio Roccat , now fifth, but only if both Turi who will qualify from the National Solar.
upgraded to YOUNG MEN (2 seats), where a little 'surprise Zavattaro leads the field in front of the talented Pizzi, maybe now the young from better chance of doing well in the domestic, as evidenced by the ranking tournament, in which he is the top places. Free place and then for the third in the standings, currently Bonarelli, only 2 points above our Stephen Altobelli . Little chance for the fifth, Macon, perhaps too far apart.
end with the category YOUNG MEN (2 seats), where perhaps we are reaping the greatest rewards. The Rank Prize
Ares and our Federico D'Alessandris , who have won all the tournaments played so far (2 Ares, 1 Federico), and which seem far superior to their peers category. Just possibly the presence at the next regional youth tournament to release the tickets for the Italian Championship.

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Do you believe in dreams? Samuel Johnson










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Large works will not be realized by force, but by perseverance.




Samuel Johnson

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logical operations with predicates

In summary, we know that:

A predicate is a logical statement that generally identifies a
out elements of a together, grouping together, it is indicated with a lowercase letter, colon and quotation marks inside where we have the phrase (eg: p: 'sentence'). The things you can do with the predicates are: denial , conjunction and disjunction ( inclusive).
Given the following predicates q 'the cat is a cat "eg" the dog is a mammal, "we can say that: The denial of

• denoted by ¬ q q q and the same is true for g
The combination of
• QEG denoted by q ∧ g (and read 'qe g')
• The disjunction of QEG ∨ q is denoted by g (and read 'q or g ')

Now we can give you some exercises to better understand:

1) from the following logical operations on predicates, determines the outcome (the predicate obtained)

Examples:
p: "Mary is went to sea. "
d "followed by Mary Joan."
¬ p, "Mary did not go to sea."
¬ d, "John did not follow Mary."
p ∧ q = d, ie, q: "John and Mary went to sea with"
∨ e = p d, and then, "Mary went to sea or John went with Mary" (from here it follows that the predicate 'and' is false only if p and q are false, in all other cases it is true).
u = p ∧ d, ie u: "Mary went to sea and Giovanna has not followed '

Predicates:

to:" The train does not stop'
b: "The cat is a feline "
c: 'The train is closed,"
d: "The apple is red" and
: "My site is visited"
f:' My cousin is sick "
g:" The cat is smaller Dog '
h: "The apple is yellow'
the" my cousin pretending to be sick, "

now determine the value of truth and the sentence obtained from the following logical operations on predicates :


a ∧ b ∧ c ∨ h d g


f and the ∨

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Exercises Exercises on transactions between sets

Review:
The main transactions between sets are: negation or complementation, intersection, union, difference (then we also have the Cartesian product and others).


If you clear the concept of set, subset, preached, and transactions between predicates and sets, we can now offer you the financial transactions between sets:

N. 1
Given the following sets: A = {
Francesco, Gianluca, Costanzo, Angela, Marco
} B = {Alessandro, Giuseppe, Francesco, Cosimo Marco, Flavia, Christian C = {}
Gianmarco Costanzo, Giancarlo, Marco, Eva , Milly Milly D = {}
, Angela, Eva, Cosimo, Ferdinando, Maria E = {}
Flavia Luciana, Rocco, Domenico, Marilena
} And the following on them: A

A ⋂ B ⋂ C
D E ⋂ A
⋃ D
A
⋃ C ¬ C ¬ E

C - B
A - C
E - B

Determines subsets results from any operation on it, or you can try all possible operations.

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propositions

Here is a list of exercises on logical propositions.


Summary:

Both propositions are predicates that complete sentences for which it is possible to determine whether they are true or false, according to the science of logic.


The difference between predicate and the proposition is that a predicate is a logical statement that identifies a characteristic of the elements of a collection, or grouping them in a whole other set himself taken into account. While a statement is a sentence consisting of a predicate set between two elements of some set, which are called topics. Arguments can be constants or variables, if they are significant variables that may indicate any element of a given set.

Exercises:

Determine whether the following sentences are propositions, predicates, or neither, regardless of whether they are true (T) or false (F) :

1. Daniel is young.
2. Silvio is the boyfriend of Maria.
3. The train goes fast.
4. Christian loves Julia.
5. The pizza sucks.
6. Gianluca hates the sea.
7. 2 is an even number.
8. 5 is less than 2 (5 \u0026lt;2).
9. My sister is 30 years old. Berlusconi is a
10. Mr. President.
11. respect to the Tesla Roadster is an electric car ferrari ff.
12. Gianni's wrong with you.
13. Las Vegas is richer than Dubai.
14. How to make pizza?
15. Where is Dubai?

defined the following sets:

A = {x ∈ N p "x \u0026lt;14"
f "x> 88"
g (x, y) "x precedes y ' _{t" x is "} z (x)' x ≥ 0"

determines a subset for each sentence, taking into account the fact that a proposition is not always identify a subset, and a predicate, although it may be empty.

Note: the set N is the set of natural numbers (positive integers), whereas N 0
private N is the set of 0. The first interval was then (0, + ∞ infinity), the second is (1, + ∞ infinity).

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perseverance, indispensable ingredient .....

who perseveres will never be won by the 'failure, and not care how many times will try again.

Perseverance is essential in reaching any goal or goal we set ourselves, the financial life to the emotional, spiritual or personal growth, the 'to be consistent is essential.

A Sometimes life brings us to the test with each type of experience, and problems with "tough" to resolve, but the problems are more difficult than strengthen us, and we temper.
and sacrifices, hard work, we apply the will to overcome our immune system is trained to always be ready and strong challenges.
People who try again after the defeat and continue to be groped, are destined to succeed!.


you remember the saying of great value "MISTAKES YOU LEARN?
Well apply this principle.

people rather than fail and bemoan themselves, attracting the attention others arise higher burden of the problem.


If perseverance is a method that brings success, its absence is a major cause of failure. And the experience of many people has shown that it is also one of the most common weaknesses.

This is a weakness, however, can be overcome simply by the effort. And the ease with which it can be overcome depends entirely on the 'intensity of your actions, and what you like.

The starting point, in fact, is the desire . If what you're chasing is really important to you, you will be willing to invest a great deal of strength and energy to get there. Every effort will never be too much.

But there is something even more important to deflate the internal pressure created by fear of failure, that thing is called "action to action."
Act to act, means of action for the enjoyment of them, and enjoy itself that we are working to realize our dream.
Shifting the focus from the goal, from the objective, experience joy and focus in the actions that we do.


To make you understand better as when we drive to a distant destination hundreds of miles, and instead focus on ground that has to arrive, or the elapsed time, let us go, we relax and enjoy the journey we see everything, wonderful landscapes positive, places, by the variety and beauty of what we see as being able to experience the beautiful and unexpected emotions, so many times the journey is more beautiful than the destination.
Try it ..... the guy said so ... no?


Greetings

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Let yourself .......








Greetings

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wishes come: o)

time medical Raga, both me and my girlfriend are great for cutting and then a big hug goes to my friend Katie (who knows me can see a bit'..:- D) gave me for 25 / 2 the angel of the health of Thun, with tight!

And another thanks goes to the nth degree below crocettine friends, cuddling their late (so to say) made me continue the festivities for a few days. And then a hug goes to Manu I want to embroider a lot: o) ...

... to Luana who always finds something special to send me ...

Pia ... and that is my friend's statements, more physically far away ...

Thanks yet all the pampering and now you say if I plan to celebrate the complemese well? : O)))
you soon with updates and welding works. A hug

cri

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Cartesian product of sets

The Cartesian product of sets is a binary operation where the operands are sets, and the operator is 'x'. Its data sets A and B, the Cartesian product of A and B indicate A x B.



The Cartesian product A x B returns a collection whose elements are ordered pairs , given that x belongs to A B eya, a generic element of A x B (x, y), ie an ordered pair consisting of an element (x) the first set (A) and an element (y) (B).

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We put the brain on stand-by ..?

The our mental and our discipline in the study are derived mostly from education we got from the school.
And when we leave school discipline, many of us let their minds atrophies.


We devote more serious reading, study, apply with a few who desire to know and learn, plus we lost the ability to have a method of reasoning, analytical reading offers us through the different points of view.


also write less and less, and there put to the test in order to test our ability to speak with the appropriate language and concise, perhaps using more terms.
And all this we bartered with laziness and idleness that sometimes invades our minds,
The most important resource available to us is time, too many times and the squandering little activity in manufacturing, but the real waste occurs when we watch television.


Frequent surveys indicate that in most homes the television is turned on between 25 and 45 hours per week.
And the same time very dedicated to their work, and is higher than most of the boys at the school dedication.


Television is the most powerful means of social influence there.


When we look at it in a passive subject to all the values \u200b\u200btaught through it, this can affect us so very subtle and imperceptible.
Now not everything that goes uninformative television is, indeed, there are programs, like documentaries on flora, fauna, or educational programs, historical and scientific quality, and a way to spread culture, but unfortunately, this indicates that the audience, and that the programs most certainly not seen them.
But there are programs that make us waste time and brain to influence.
So we have to give us rules to optimize the time to exploit it to maximize the use of this valuable resource to grow and achieve our goals. Let
time for television watching things that are cultural, and use the remainder to use it to read and study those statements that lead us to know each other better.


If you invest time in a productive and constructive things that we will learn mental strength, will and wisdom derived from knowledge, and inner strength.


And if you come into our lives difficult times, we do not find people unprepared, weak, but they will find people who are ready to overcome any challenge.


Greetings

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place value of digits

Our system positional numbering is in base 10. It means that the value of a digit depends on the place it occupies in the sequence of number digits.


Our numbering system is base 10 because we plan to form groups of 10 units, the tens. In each issue, the first digit to the right is called a unit

( u), second from right to left is called ten

( by

) then the tens of units are left. The hundreds (

h) are written immediately to the left of the tens, then from right to left are the third place. 10 units form a ten. 10 tens make a hundred, 10 hundreds make a thousand
. Examples: 341-1 units, four tens, 3 hundreds. 12 to 2 units, 1 dozen 783-3 units, 8 tens, hundreds 7 4269-9 units, 6 tens, 2 hundreds, thousands 4 previous --- next

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Natural numbers

As we said, once every people had its own way of counting, highly developed civilization made use of a numbering system (the Romans used the Roman Empire, the Arabs that Arab, and so on ...) Today our system of numeration is Arabic, consisting 10 symbols from these figures .
The numbers are formed by



one or more digits arranged in sequence: 2, 34, 89, 123 ...
are called natural numbers are infinite. In fact, we can write a sequence of numbers that never ends, always adding a digit to the number in question, adding however we always get a number greater than the previous year.

A sequence is in ascending order when the figures of which consists ranging from minor to major. Instead, when they go in descending order from highest to lowest.

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Learning to count

Since ancient times, when early humans began to populate the earth, counting was a necessity. The first pastors, for example, they need to know how many sheep had their flock, and then start counting in scoring a stick up a notch, each notch representing an animal.


But if the sheep began to be many, a stick was not enough!

So they invented a new symbol
by which describe a group of ten animals, such as a circle, and so on. were other ways to count the fingers, each hand as we always have five fingers and five objects were said to indicate "a hand of objects," or "two hands" or "a man", to indicate fingers and feet, that is twenty.

Slowly with the evolution of the need to count things or objects, it became increasingly evident with the passage of time every ancient civilization gave birth to a

numbering system consisting of symbols.
Here's a rhyme on the numbers:
1 hour 2 hours sleep on the horse cock

3 the traveler
4 hours walking the prelate 5 6 hours, the magistrate
7 students
8 hours all the people
9 worship 10 hours
laziness!
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lessons, and review exercises for middle school algebra.


1

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Arithmetic Algebra middle school children study math by himself

Here is a list of lessons in arithmetic for children. Keep in mind that it is also a hint of programming for primary schools.
Learning to count

Natural numbers

1

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You can also study mathematics alone, if you want to achieve certain goals. You must start with the basics, such as you can from the pillars of the algebra are: Sets, Logic, Relations and Functions. These four topics of algebra are fundamental to understand the following years. If you want to learn very well these concepts do not have to follow a specific pattern or

study method, but you simply must try to understand better what you read and apply it immediately with numerous examples, exercises performed, guided exercises and drills on their own. The study is divided into two phases: "

understand" and "

apply. Once you understand, you have to apply as much as possible, and then return to read to understand better and then reapply again. The strength of will and passion are the "fuel", must always do the full attention but to exceed, because otherwise the engine will leave the street, sometimes cambiateci the tires and make him a check, you should never use if themselves.

• Arithmetic is a branch of mathematics that studies the fundamental properties of number operations (addition, subtraction, multiplication and division), so the arithmetic is very useful in financial-economic areas but also to train your mind with the algorithms from early childhood. It is a very ancient science, and is one of the first concepts that children need to know.

My blog aims to share online math quickly and as best as possible without too much complexity and I have no intention of attracting thousands of visitors useless, I prefer the quality and not quantity.

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injective function, surjective and bijective.

First start by saying that bijective you write, but bijective (with both).

functions are relationships that we know how to generate a unique correspondence between two sets, as each element of the first set has associated only one element in the second, but is not necessarily true the incontrario. A function-type relationship between two sets A and B then gives birth to a correspondence. Matches can be of various types:

one to many :

Each element x of A can have multiple images in B y



many to one : Each element y of B can have more controimmagini x in A

one by one
• : Each element x of A has only one image in B and y is the opposite.
many to many
• : Each element x of A can have multiple images in B y and the latter have more Possoni controimmagini x in A. According to correspondence which generates a function, we can say that the property meets one of the following:
• A function is said surjective when the codomain is the set B, then every element in B has a controimmagine A. A function is said
injective when
• distinct elements of A, have distinct images in B, then each element can be associated with only one other element that has not been associated with another. A function is said is surjective and bijective when injected simultaneously. So all the elements of A have distinct images in B and all elements of B are distinct in controimmagini A. Then is injective, surjective, but also because nothing remains inassociato.

A function is injective or bijective correspondence-type "one", while a surjective can be of various types.

Examples of functions:
• 1) In a team of players, each player has a number that identifies it on the football field. So we have all of the players A, B and all the natural numbers from 1 to 30. For each player must match to force a number, so it's a function because every element of A should have an image in B. Then we know that a player only has an associated ID number different from the other players, then the function is injective because the correspondence is one to one. If a team reaches the maximum number of players, in our case 30, the function becomes surjective, since each number is a different player. The function being injective and surjective, it becomes bijective. 2) We have the set A that contains all types of cars in Italy and the set T contains all the license plates as possible. Given a set I contains all the cars registered, and a relation R which associates each element x of the one discrete element y of T, we can say that R is a function because each car must have a registered license plate. Then we know that every registered car number plate is one distinct from others, then the function is injective. And finally, though we know that not all the plates of all T are associated with the whole car, then the function is not surjective, and even bijective.

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RR and SAL: o)

blogghine Good evening dear, I have just made a nice chat with a friend over a cup of steaming tea to discuss a little of everything '... and the beauty is that we but in reality we see very little seems to have left the day before and this is one of the great little pleasures that life in store for me.

The pleasures of my life instead spreaders are, among other things, RR and sal and here I show you the progress of this last sentence: this is the pot holder made for Barbara in our RR of bfc3 potholders, I discovered a Crews Jeanette schemino I liked the colors to use ...

.... then I took advantage of a work in progress and a gift to be prepared to make a stop in March sal Color Iulia and this time you had to use blue. ..

.... and finally I have ticked the third leg of the weld because of Matti's forum of color and this month we got here ....

this pattern ... too cute! : O))) and now let's get to the disposal sal!
Good evening to all and very good Sunday!
cri

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function in mathematics

sets, logic and relationships are an important topic in mathematics and beyond, as they recur in everyday life, work and study of any material. Then there are particular types of relationships, such functions, functions have an important capital in mathematical analysis, statistics and probability, computer science, chemistry and so on.


requirements to study well the functions:
sets, operations with sets, logic of propositions, logical operators, relations and property relations.

What Can I Do? A

function is a relation from A to B which has the same domain the set A and codomain a proper or improper subset of B (ie, some or all elements of B). So each element x belonging to A has at least one image y in B, while some or all y in B have a controimmagine A. A report of this type is said to function or application of A in B.

Examples: A = {x} is a student of ITC B belongs to A = {x from which to obtain a final score between 0 and 10, each score is an element of B. It is a function only if all elements of B participate in the course getting a score, even zero, but it get it, then every element of B has only one image in C. In this case, yes.

In addition we must add that a function is a relation between two sets which creates a unique

correspondence.

Properties of functions.

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's really bad to be sad?

Is it really bad to be sad? " It 's really bad to be sad? begins with this provocative title of an article writer in scientific Jessica Marshall, recently published in the journal New Scientist. "Clinical depression is one thing, but it is fair to allow people taking drugs to combat the sadness that follows unpleasant events? "- note the writer - the melancholy, suffering, unhappiness are almost drawbacks in a society where personal happiness is above everything." You can be sad for good reasons, in an almost physiological, the abandonment of a long-cherished illusion, the breaking of a loving relationship, the loss of a loved one, the uncertainty of a precarious employment or the lack of a source of income. biological significance of sadness Sadness is something that we can easily do without, or represents an essential component of human nature? Several hypotheses have been formulated in this regard. Our propensity to experience distress following the occurrence of adverse events could have evolved as a strategy of self-protection. Daniel Goleman, former teacher of psychology at Harvard, author of the bestseller "Emotional Intelligence" suggests that one function of sadness is to create a temporary state of suspension that allows to take stock of the situation, to metabolize any sense of loss and to evaluate the options that remain open. The discontent, frustration and the brood can lead to significant changes, unusual activity the creative processes. In this sense, the emotion that evidence and information, the signal that something must be reconsidered in a new light. Jerome Wakefield, a scholar at New York University, argues that the sadness can even act as a deterrent, preventing and deterring the possibility of falling into situations that previously have been associated with pain (for example, take the second time in a relationship with a married partner, or insist on a job very rewarding). Keewell Paul, a psychiatrist at Cardiff University (UK), moves the analysis on the communicative value of melancholia: showing our grief to the other members of the community, indicated that they need help. Sad or depressed? "You can debate whether a slight sadness to be useful or not, but definitely a clinical depression is not. And 'most dangerous super-medicating normal sadness and clinical depression sottomedicare? "- Jessica Marshall asks. It 's very difficult to draw the line where the sadness can develop into depression. Waiting for the next edition of DSM (Diagnostic and Statistical Manual of Mental Disorders), scheduled for 2012, comes on the debate between those who believe that the limit should be moved higher, including in the diagnosis of depression is also common manifestations of sadness, and who believe that progress should be tracked more down, narrowing the field of depressive symptoms to a group of clearly recognizable. Strategies to bring up the morale rid of a negative mood, and unable to console himself is practically a full-time job. Individuals adopt strategies that can sometimes be effective or sometimes inconclusive. Whichever method is chosen (distracted, going out with friends, reading, writing, sleeping, even daydreaming), should be to decentralize themselves, avoiding as much as possible obsessive rumination about their miserable condition. One thing not to do, according to Goleman, is to try to distract themselves with other equally depressing thoughts. A typical case of Mary M, employed in a company to bankruptcy. She is sad because the man with whom she has an affair a few months ago has vanished into thin air as soon as you mentioned the desire a more stable relationship. Mary wants to distract the other talking with coworkers. But imperceptibly the conversation revolves around the risk of an imminent dismissal, while the woman has the feeling of sinking into a whirlpool of despair. Even Guido, a colleague of Mary, is distressed to the idea of \u200b\u200blosing their jobs. He talks obsessively, introducing the sore innocent in any discourse, even between a biscuit and the other during the coffee break, creating between themselves and others a short circuit depression. Result? All the carefully avoid. Those who implement the most effective strategies rely on mental visualization of possible events enjoyable. They come to pre-plan opportunities for recreation and comfort, combined with a mental reservation of thoughts with positive connotations. I "repressors," puts into place a particular emotion regulation strategy based on the mechanism of "repression": the ability to stop at the first onset, their emotional turmoil. With exercise, detuned emotionally, "change channel", becomes an almost automatic process. contrast, in subjects with depressive tendency, the mechanism of repression is altered, and in moments of intense emotional stress evoked by negative mood, anxiety you have other thoughts to mind automatically and insistently, as if they were ready for use. know how to activate the mechanism of repression provides benefits, especially when it is convenient to clear the mind from unpleasant thoughts to focus on a challenging task, but if carried to extremes, can succeed in eliminating all but the awareness of negativity (the denial optimistic), which refers to the initial question: is really a bad thing to be sad? by: New Scientist Greetings

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The whole universe

In

set theory, the '

universal set, denoted U

, is the set containing all the existing collections. Each existing set is a subset of the universe, then we can say that U

also contains all the existing elements. Each set is included in U and U includes all sets

.

Property whole universe

The universal set is unique Includes all other existing sets Each element belongs to U
The union of a set with the ' universal set is the whole universe itself

The intersection of a set A with the whole universe is the same set A The only collection that contains the universal set is the whole universe itself

It is said that the whole universe is unique because it is not properly identified as "a universal set", as it is one and then it says "the whole universe" .
• course also contains a whole universe itself and the empty set. That is
and {U}.
Source:
• Wikipedia - the universal set in algebra

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Advanced Algebra Advanced

This is a course that is a series of advanced lectures on algebra. This is about deeper topics on algebra and history in general.

The universal set in mathematics.

Cartesian product of sets.

correspondence.

The page is in the process of enrichment.

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online exercises with predicates

List of predicates on

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Propositions equivalence relations in mathematics

The

propositions in algebra

are used to determine and work with

sets.

We know that to express the characteristic of an object requires a sentence But these words can be called if the predicate is possible to assign a truth value on the basis of logical reasoning. These are examples of predicates: p: "I am your friend," f, "my sister weighs 55 kg," c: "Pope has white hair"

These however are not predicates: or "those who are your friends? "r" come and see you tomorrow ' q: "Gianna is beautiful"

p, f and c are preached because it is possible to tell if they are true or false. or, req predicates are not because there is no point in giving it a logical truth value. If the sentence contains topics related to predicates called proposition or statement

. The number of arguments is variable and the number of predicates, but in general to be less ambiguous, it takes at least two arguments and a predicate that compares them.
Called
open proposition or statement

open if arguments are not real but unknown, ie

variables. In According to a statement we can open to create a report or a set of mathematical function. Examples of open
propositions: p (x) "x is a mammal ', t (x, y)" x precedes y ", u (x, y, z)" x is less than y and
y is less than z '
You can see that u in the statement, there are two predicates joined by the connective, which represents the logical operation of conjunction. It means that u is true only if both predicates are true. A proposition can be atomic or molecular level. Atomic if it consists of a single statement, whether molecular, comprising two or more sentences, always connected by logical connectives (Connectives logic are used for logical operations). The logical connectives are the logical operations that we will see in later articles. Examples of molecular
proposition:
p (x, y): 'X has the same color y', g (x, y): "if x is a mammal, then it's not a bird '