Science, math and English 12th
始まるよ😊
Whenever there is a chance of expressing myself in English, I’m worried about its content, though it’s all right as long as I do what I want to express.
I’ve expressed, being based on the book, 面白くて眠れなくなる地学, right now, but it will be end until summer was over, at least. After that which topic, should I choose?
Without having basic knowledge at all, my thought is full of curiosity, so there are lots of things to express.
Roughly speaking, I’m not good at science, especially I’m not a math person, so I’m afraid I tend to avoid to handle math here, so I’m going to deal with math positively. But when being into something else, I am apt to forget it.
In addition, I don’t know how to show an equation with nth root here. I find it inconvenient. I have to improve my skill on the pc.
- 投稿制限
- ハンドル名必須
【Putting a problem in the breast pocket always】
《How high can we climb the steps of logic?》
…showing its concrete way is good, and making the story increase the persuasiveness.
Two other sentences. The one is 休んだ, and the other is there was a cat. The story is like the next.
There was a cat on the path, and it’s so pretty that I went back my home with it, after that the cat was playful around me and I had much fun I forgot about the time, though I had to go for the work in the next day, I was absent from the company.
The author said the sentences connects very naturally. Without making…
【Putting a problem in the breast pocket always】
《Connecting something absurd more and more》
Without making it finish with that being the cat was playful around me and played it together and being absent from the company, expanding the story, adding to a few steps are good. As steps are many, it turned out the student thought logically.
The last ones. I drank a juice. The ceiling fell.
When drinking a juice I put the can and found the can trembled, at the same time I was aware that the earthquake broke out, and when looking up at, something approached me, and the ceiling fell on me.
【Putting a problem in the breast pocket always】
《Linking something absurd more and more》
The author said its idea was interesting. Occurring the surface of the juice was trembling to it was very physical as logic connecting two sentences. If its image appears in your heads, the story is successful. As there was the movement, so we can imagine. The feeling is like that.
When an image occurs to us, almost of all of us are convinced, and in fact the image is included in the logic of the math as well. The author said he was going to talk about it in the next lecture.
Connecting something….
【Putting a problem in the breast pocket always】
In this way, connecting something absurd seemingly more and more is important in the math. How much can we connect two different idea logically and precisely? It’s most efficient so as to improve our ability on the math, the author said like that.
《The direction is limitless, and its answer isn’t single》
It‘s a prediction which is one of the most important parts on the math in the society.
How is the weather from now on? What happens on the economy in the next year? Where does a great earthquake break out?
If being able to predict various….
【Putting a problem in the breast pocket always】
《The direction is limitless, and the answer isn’t single》
If being able to foresee those things, it’s the God. Though when foreseeing something, we use the name of the God more than anything other.
When foreseeing, we don’t know what comes to an end. In the word play like that, we thought the way of connecting because there was the answer for it, but when there is no answer, we have to follow the answers one by one.
For example, what happens on the earth or in Japan after ten years? With the use of the logic, we’re forced to follow one by one
【Putting a problem in the breast pocket always】
《The direction is limitless, and the answer isn’t single》
Where does each of us reach? It depends on, it’s different for each of us.
Accumulating the fact one by one has to be done exactly in the math, but its direction is limitless. The way of thinking A is right, and other way of thinking B is also right may have been. If each of steps is right, it’s all right if we fly to different ways.
Someone said the answer is single in the math, but to tell the truth, when reaching to some extent, the answer isn’t always single. The theory on one …
【Putting a problem in the breast pocket always】
《The direction is limitless, and the answer isn’t single》
The theory on each of them is single alone, but many of conditioned ramifications or the ones by a hypothesis are so many. But it’s all right if the more the ramifications there are, the more there are each of answer, and it’s the math in which we arrange the condition leading to the answer.
The students who took the class were the first grade in high school, it has never taken much time since starting to study the math. What do they learn then? They learn the way of accumulating….
【Putting a problem in the breast pocket always】
《The direction is limitless, and the answer isn’t single alone》
They learn the way of accumulating the theory one by one, and modifying an equation is one of them. Learning the exact modifying equation and under way of getting the weapon of climbing the step of logic.
The author is the professor in university, so he has various kinds of weapon, so if he doesn’t go well with the single weapon, he can choose other one, he can do varied things.
He said he was going to teach various theories and varied way of jumping to other steps with even …
【Putting a problem in the breast pocket always】
…and varied way of jumping to other steps with the weapon in the hand. The author said he wanted them to have the image like that in each of heads.
《Whether or not being able to step forward in the next?》
The author said it’s a device which he wanted the student to do after the theory. When coming to a dead end, whether or not being able to step forward in the next? If being able to come up with every possible thing, we learn to be able to climb the step of logic with varied ways. Let’s go through this process actually.
Please put two points…
【Putting a problem in the breast pocket always】
《Whether or not being able to step forward in the next?》
Please put two points on the notebook and connect them with a ruler. The line means the shortest distance between the two points. Stretching straight is absolutely shorter than bending it. Using the theory and solving the next problem.
Writing four points so as to form a square of which each side is 10 cm, wanting to connect all the four points with lines, and please come up with the way of the length on the line is the shortest, and measure it with the ruler.
For example, please…
【Putting a problem in the breast pocket always】
《Whether or not being able to step forward in the next?》
…please think of four points as the houses of yours and your friends’. When going to each of four houses, the road is necessary, and wanting to find the shortest road leading all the houses as early as possible. It’s the problem.
The student answered the road of which shape is x.
The author said everyone thinks like that, for the shortest way, it’s the shape of x, but it’s not right. There is other one which is shorter than it.
It seems the shape of x is the shortest way, everyone….
【Putting a problem in the breast pocket always】
《Whether or not being able to step forward in the next》
…everyone must have thought like that, but denying everyone thinks like that is powerful in the math. If using the math, we can break the common knowledge in which we thought it’s right without special ground. How long is the diagonal line?
The student answered its 28.3 cm. If the answer is shorter than the diagonal line, it’s right. As it’s so hard that if you can’t solve it, it’s all right, but please try it after the trial and error, the author said like that.
If calculating it…
【Putting a problem in the breast pocket always】
《Whether or not being able to step forward?》
If calculating it actually, it’s rather complicated, so answer it with your intuition alone.
The student said he was wondering if he can use a shape of which curve.
The author said if it’s longer because it’s the curve, but the author said as it’s the curve, so it becomes longer. The one which we can use is the straight line alone, and said after taking a quick look at all of the students, there is only one whose answer is right extremely.
It’s not the x but there is a single line in the center.
【Putting a problem in the breast pocket always】
《Whether or not being able to step forward in the next?》
The answer is the one on the photo. The length on the line is 27.3cm. Its point is the angle crossing between the vertical line and other two lines is 120 degrees. If connecting with the degree of 120, it’s shorter than the diagonal lines.
You may have thought the shortest distance is the one connecting straight lines each other, but to tell the truth, as to the total distance, it’s the shortest. Two of the oblique lines alone are longer than the right answer, but the length….
【Putting a problem in the breast pocket always】
《Whether or not being able to step forward in the next?》
…but the length connecting four points in total is shorter than the diagonal lines in total. Why?
As the part of the center line is used in two roads going for the diagonal direction mutually, if the line is connected with two points alone, without being the straight line, it’s longer like the photo, but as to the four points, as there is the part which is used mutually, the broken line is shorter than in total.
If looking at the shape of the v both of the up and the down…
【Putting a problem in the breast pocket always】
《Whether or not being able to step forward in the next?》
…the diagonal lines made up with dotted line is by far bigger than the one made up with the solid line. Even if adding the central part, the one made up with the solid line is shorter than the one made up with the dotted line.
Everyone thinks somehow the diagonal lines is the shortest. Thinking somehow is right to some extent, but it(s sometimes in the wrong. It’s all right as long as using the math for the part which is in the wrong.
The student asked why is it the 120 degrees?
【Putting a problem in the breast pocket always】
《Whether or not being able to step forward in the next?》
When solving the equation properly and calculating the shortest distance, the angle of 120 degrees appears. The calculation is done exactly with the differential and integral calculus in which you would learn in the third grade of high school.
The author said he was going to express on the differential and integral calculus in the next time. He praised the student who reached to the right conclusion and asked the student reason why he concluded the shape.
The student answered, without…
【Putting a problem in the breast pocket always】
《Whether or not being able to step forward in the next time?》
…without occurring any other shape which is far distant from the original diagonal lines, he looked for a similar forms somehow.
The author admired his way, for everyone thinks the x was right, so the right answer must have been close to the x. Then shifting the line a little and thinking out from the place which is near the right answer. It’s the first step to a breakthrough.
When reaching the right answer, your hands moved somehow. It’s also important. Without thinking…
【Putting a problem in the breast pocket always】
《Whether or not being able to step forward in the next?》
Without thinking ambiguously in your head alone, letting out as much as possible. Moving your hands or moving your body. The author said when researching something, he walked around the room. If moving the feet, it makes your brain stimulate. Anyway, moving your body and letting out your thought and changing into something visible and something that has a shape.
The problem is related to the print circuit board using for the electronic part, the board on the conducting wire was printed.
【Putting a problem in the breast pocket always】
How should we make the length of the wiring short and how should we restrain the cost? It is related with the actual problem, and is used in various things actually.
《Back and forth between the serious and not serious》
As to the math, we know the starting point and goal in lots of cases. We sometimes call the goal the hypothesis or conjecture. Though we can prove halfway, the other halfway hasn’t proved yet, and this is unsettled issue.
When losing the trace which we should follow, whether or not we can jump other way linking to the problem.
【Putting a problem in a breast pocket always】
《Back and forth between something serious and something not serious》
Then the intuition is indispensable. Not only the logic but the intuition is indispensable so as to master the math.
As someone reached the right answer before, without being able to understand very well, but trying it, and without knowing, happening to reach the right answer, the leap is the intuition. Once being able to leap, it changes into a logic in the next time.
It is from a long ago. It doesn’t mean there was the logic from the first time. Various people did tried and…
【Putting a problem in the breast pocket always】
《Back and forth between something serious and not serious》
Various people did trial and error from thousands of years ago, and when trying it, it happened to go well. The math has been formed like that. It doesn’t mean someone who is smart solved all the problems smoothly.
Great mathematicians like Gauss or Euler made a mistake in their math proof if looking back at the from modern point of view. When being worried about, leaping to other point, and other people connected with other things afterward, Gauss thought like that. As long as being…
【Putting a problem in the breast pocket always】
《Back and forth between something serious and not serious》
As long as being able to see the goal, everyone can reach there.
There was the one who happened to understand the form of the shortest route on the four points here before, and the other who was next one may have calculated the angle of the poly line and have been aware that it was one hundred twenty degrees, and the problem reached to the right answer at last.
And the one who can use the math are lots of people who have a sense of humor. When enjoying something, their thoughts….
【Putting a problem in the breast pocket always】
《Back and forth between something serious and not serious》
…their thoughts were back and forth between the logic and intuition. John Nash who is a mathematician in America used two of the things depending on the situation with the flash of genius, the author said like that.
He studied the dilemma on the activity of people with the math and received the Nobel Prize in economic science. He announced the idea originated from the Nobel Prize at the age of twenty one. It is said he thought of it when going for a drink to bar with his friends.
【Putting a problem in the breast pocket always】
《Back and forth between something serious and not serious》
Three girls came to the bar then and Nash and his friends tried to pick up three of them. Then one of them was by far more beautiful than other two.
Needless to say, the competition rate on the beauty was hard that if everyone aimed at the beauty, there was the possibility no one goes well. On the other hand, everyone gives her up and aimed at other girls, each of three men may have been successful.
Everyone may have thought once, and as Nash was aware of the compromise resolution…
【Putting a problem in the breast pocket always】
《Back and forth between something serious and not serious》
…and it made him construct a revolutionary theory in the math analyzing the human relations, what is called the game theory.
One of the students asked, when trying to pick up girls its compromise connects with the theory on the math? And the author answered like the next
Yes, Nash expressed well the dilemma when thinking not only his own benefit but the whole others’ benefit with the math.
The author said he was going to talk on Nash later.
This achievement of his has been applied….
【Putting a problem in the breast pocket always】
《Back and forth between something serious and not serious》
This achievement of his has been applied in varied fields like biology and sociology until at present. Receiving the Nobel Prize of his took forty five years from his announcement of the idea.
This strange life of Nash’s has been depicted in the movie of the beautiful life, so if you are interested in it, please watch it.
As coming up with the idea in the middle of trying to pick up girls, thinking of something as serious sometime, and doing flexibly not seriously in other time.
【Putting a problem in the breast pocket always】
When learning scientific field, they use their brain like that, and it isn’t limited to the one who learns the math, the author said like that. To be honest, I’ve never learned science, so I’m not sure of it, though I’m interested in science.
《Getting the map on the math in mind》
The author spoke to the students in high school, and said to them, do they learn what kind of math from then? What is the math in university? The author classified the math which the students learned until then, for if being aware of it, organizing knowledge is easy.
【Putting a problem in the breast pocket always】
《Getting the map on the math in mind》
You learn calculus, vector, geometric shape, trigonometric function, an equation, a liner equation, and a quadratic equation etc…you learn lots of things, but those things are classified into three in university, being put together into algebra, geometry, and analysis.
As not having learned the classification like this in high school, so it seems to be a lot, but for example, the vector belongs to geometry or to analysis, the trigonometric function does to analysis mainly. The equation algebra…
【Putting a problem in the breast pocket always】
《Getting the map on the math in mind》
…the geometric shape geometry, the equation algebra, and the calculus analysis, the math which you’ve learned at present belongs to either of them.
The algebra is the one in which instead of numbers using various characters and handling the equation, and classifying things, or organizing symmetric property or regularity. All the natural numbers belong to either the odd numbers or even numbers. It’s also the algebra.
When playing a baseball game in tournament with class competition, how many the game is…
【Putting a problem in the breast pocket always】
《Getting the map on the math in mind》
…how many is the game done then? Counting it belongs to the algebra, the formula on the quadratic so as to solve the algebra as well.
Analysis is the one which develops from the calculus, and considering for putting into practice in the real world, the analysis is the most important, the author said like that.
The algebra has an image of numbers, but the analysis studies the numbers more minutely than the algebra. If the subject on the algebra is the world made up with grains, slicing each of the grains…
【Putting a problem in the breast pocket always】
《Getting the map on the math in mind》
…slicing each of the grains and studying them more minutely. When researching a railway, instead of sleepers 枕木 at intervals, paying attention to gravels as well. The author said he has the image on algebra like that.
The process of dividing into small components is differential, and collecting them again and grasping the whole one is integral. When looking at the 微分 and 積分 in Japanese, I can understand its meanings somehow, though to my sorrow, I can’t understand its equation at all.
【Putting a problem in the breast pocket always】
《Getting the map on the math in mind》
The geometry is studying the nature on the geometric shape or the space. It has developed from the most ancient time. It’s the learning developing from land surveying. For example, the surface on the ground of the plain is gently sloping, but its incline changes suddenly in the mountain range. The situation on the change is expressed with a formula or numerical value well.
In addition, the perspective drawing is the headwaters of the modern geometry, and the geometry has been made use of in the…
【Putting a problem in the breast pocket always】
《Getting the map on the math in mind》
…and the geometry has been made use of in indication of the computer graphics, and it’s useful on the video game which all of you enjoy.
There is other field, statistical data, but the author seemed to say to the student three of algebra, analysis and geometric shape alone here.
The learning in which those students study in high school belongs to either of the three, and learns to be high level more and more. It’s the image on the math in which the students learn in university, the author said like that.
【Putting a problem in the breast pocket always】
《Can we do a magic tricks?》
It’s the group theory is that the students study in university at first, and the author said he was going to do the magic tricks with the playing cards, making use of the group theory from non on.
There are five cards of 10, J, Q, K, and A here, and preparing for four kinds of cards like heart, spade, diamond, and clover and lining them up in order like the photo.
Collecting each of them and piling up and turning them over and shuffle them from now on, but the meaning of the shuffling the cards in this case is…
【Putting a problem in the breast pocket always】
《Can we do the magic tricks with the math?》
…but the meaning of shuffling the cards in this case is dividing the cards as you like and overlapping them again like the photo. Wherever dividing cards, of how often doing them, it’s all right, so the order on the cards must have been at random.
I’m afraid I failed to say, the cards of the each number on the heart, diamond, clover, and spade is starting from A, K, Q, J, 10 and ending at 2, and piling up like the photo of the right page, and they are shuffled. After shuffling what happened to the…
【Putting a problem in the breast pocket always】
《Can do we the magic tricks with the math?》
What happened to the order on the cards after shuffling?
Turning cards one by one and putting them from the left to the right in order in a single row.
After putting five cards, doing the sixth card above the first one and doing the seventh above the second, and repeating the process, and dividing all the cards into five groups.
Oh, I’ve made a mistake. I’m sorry, the number is from A to 10, it’s five kinds alone, it’s not from A to 2.
Though it has been shuffled, the number of the five groups…
【Putting a problem in the breast pocket always】
…the number of the five groups are the same ones….
Is it true? Do I make a mistake something again? I hope I didn’t, but the author said like that, and I’m going to continue.
《Even if the number is different, it’s equal?》
If showing all the cards, it’s complicated, so the author said he showed it with six kinds of cards alone.
Let’s suppose there were six kinds of cards from 1 to 6. Their order is 1,2,3,4, 5and 6. Shuffling them means putting each number from the one which is smallest and dividing them as you like and putting each of them…
【Putting a problem in the breast pocket always】
《Even if the number is different, it’s equal?》
…and putting each of them above one by one. What’s happens? For example, let’s suppose the order on the cards was 4,5,6,1,2,3. Everywhere is ok and shuffling as you like, the next order was 2,3,4,5,6,1. It’s just that the process was repeated alone. There is the thing which doesn’t change at all. It’s the order on the whole number.
The author said he wanted the students to have the image of the order on the numbers, 1,2,3,4,5,6, they just go around. The 1, and the next is 2, and the next 3, the…
【Putting a problem in the breast pocket always】
《Even if the number is different, it’s equal?》
In short, it means going around and putting them again without changing its order.
If putting them at random like the one comes after the five, it’s not the same, so we can’t connect two of them with the equal.
Thus dividing whether it belongs to the same group or not belong to the same one. We call each of those mass of numbers which we divide the group. It’s like a family. Thus using the group and classifying various things is the group theory.
We seem to use the meaning of the equal the…
【Putting a problem in the breast pocket always】
《Even if the number is different, it’s equal?》
We seem to use the meaning of the number is the same altogether until now, but there is deeper meaning in the equal. In this case, its equal is on its order, so even if the number is different, it’s all right.
When A = B, what does mean the equal? The author said we should interpret broadly. For example, my favorite number were 2 and 3, and 4 weren’t. Then the 2 and 3 belong to the my favorite group and 4 is the one which I hate.
In the meaning whether I hate or not, 2 and 3 is equal, and 10 is….
【Putting a problem in the breast pocket always】
《Even if the number is different, it’s equal?》
…and if 10 is included in my favorite group, 2=3=10, but 4 isn’t equal with them, but if being worried about too much, it’s all right if using other sign, and it makes us confuse sometimes, so we use other sign like A〜B.
Its meaning changes according to its definition. Dividing into the same ones and into the different ones, without deciding the criteria on judging, the equal isn’t connected. The way of thinking has been applied in various situations.
For example, the nature on the matter is….
【Putting a problem in the breast pocket always】
《Even if the number is different, it’s equal?》
…the nature on the matter is decided with the crystal structure, in short, it’s decided with how the molecules and atoms are connected with each other.
Even if the same carbon, it changes into a lead of the pencil or into diamond as long as it’s the combination by the carbon. If it’s the same crystal construction, as it has the same physical nature, the way of connecting is divided into the group and is classified.
Moreover discovering how many ways of connecting there are thoroughly, it causes…
【Putting a problem in the breast pocket always】
《Even if the number is different, it’s equal?》
…it causes to discover a material which has new nature.
As long as being able to understand the cyclic permutation, we can see the secret of the conjuring trick by the playing cards.
Before shuffling the playing cards, they are put in a circular way like the upper part on the photo. How shuffling them, as it’s the cyclic permutation, so the order on the numbers doesn’t change.
After shuffling, it’s the one like the lower part on the photo. If taking the cards one by one from the top in the…
【Putting a problem in the breast pocket always】
《Even if the number is different, it’s equal?》
If taking the cards one by one from the top in order and lining up on the desk, it’s Q,K,A,J and 10 and the sixth one is Q again, and is put above the first Q.
As long as putting the cards on the desk like that, each number of the group becomes the same finally. As the nature on the order isn’t broken, the same one appears absolutely, and there is the group theory behind it. We can grasp the essence on the group theory with the magic trick of the playing cards.
Needless to say, when studying…
【Putting a problem in the breast pocket always】
《Even if the number is different, it’s equal?》
…when learning actually, signs appear and it is indispensable to solve a hard question sometimes, but the author said he was going to omit the details like that in his class in this time, so he suggested if being interested in it, we should find a book expressing the detailed group theory and study for ourselves and continued like the next.
Calculation and signs are important in the math, but without burying ourselves on the signs , learning the way of thinking is more important, and proposed we…
【Putting a problem in the breast pocket always】
《Even if the number is different, it’s equal?》
…and proposed we should think why it is without using either of the formula or signs. Thinking over the part on its frame developing the ability on the logic and intuition and it must have been useful so as to grasp a big image on the question.
The author said he was going to extend a hand to the essence on the math which we study in university and to use it as weapon. There are various mathematical law behind phenomena in the society, If taking advantage of the math, we’ll see varied things and…
【Putting a problem in the breast pocket always】
…and may have solved various problems. Let’s experience it together actually, the author said like that.
【We’ve heard a breath from the equation】
《The ability of turning it into something abstract and changing it into something simple》
The author said he talked on the ability which is indispensable and the whole sketch on the math before, he said he was going to introduce the students on the math which makes them understand well, the things around them and the society, the math as weapon this time, especially something invisible for us…
【We’ve heard a breath from the equation】
《The ability on turning it into something abstract and…》
…especially a false hidden behind things, something in the future, a trouble in the relationships, and mineral resources buried deep underground, if seeking it for, there is the math which we can use then. The author said he is going to introduce this time.
He said as to the ones who can do the math have similarity. They can run after the logic and are very cautious, looking at everything carefully before leaping, they are suspicious when moving step by step, making sure whether it’s all...
【We’ve heard a breath from the math】
《…and turning it into something simple》
…making sure whether it’s all right or not when doing something, at the same time, they are bold. When doing something, it’s always very careful, but coming up with an eccentric idea once in a while, and leaping far away in a flash. They have the image like that, the author said like that.
Furthermore, as to its ability, the abstract thinking is important. The game of connecting two of different sentences which seem to have nothing to do with each other is proposed by the author. There are two of things which are…
ふとした疑問掲示板のスレ一覧
ふとした疑問、普段気になっていたことなどをみんなで話そう❗
- レス新
- 人気
- スレ新
- レス少
- 閲覧専用のスレを見る
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ハグは世界を救う0レス 1HIT 初心者さん (20代 ♀)
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深田萌絵を守る会2レス 50HIT 職場の小言さん (♂)
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できないからじゃなくて迷惑だからよって指摘5レス 92HIT おしゃべり好きさん
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両替のはなし6レス 118HIT おしゃべり好きさん
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ずっと友達いないんだけど1レス 72HIT 匿名さん
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ハグは世界を救う0レス 1HIT 初心者さん (20代 ♀)
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山尾志桜里氏の公認取消しについて
だから、有権者がズレていると言っている。 「みんなが右を向いているか…(寡黙な人さん0)
10レス 127HIT 寡黙な人さん -
できないからじゃなくて迷惑だからよって指摘
ちょっと話が見えないので確認ですが… 会社の先輩から注意された。…(通りすがりさん3)
5レス 92HIT おしゃべり好きさん -
深田萌絵を守る会
日本のお米は無農薬で品質の高い品です。 これを諸外国へ売りさばき日本…(職場の小言さん0)
2レス 50HIT 職場の小言さん (♂) -
ネット
NTTとプロバイダーが別企業なのでちゃんと解約手続きを取ってください …(雑学王さん1)
1レス 63HIT 暮らしている人さん (40代 ♂)
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主は40代ですが20レス 336HIT 聞いてほしいさん (40代 ♀)
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aikoにそっくりすぎる人の悪口、暴言1レス 86HIT 職場の小言さん
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バリウムと胃カメラ6レス 119HIT 社会人さん
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好きで好きでどうしょうもないと思っていたのに…8レス 122HIT 恋愛好きさん (40代 ♀)
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持病がある方、市販薬を買う時薬剤師に相談しますか?8レス 118HIT OLさん (30代 ♀)
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主は40代ですが
悪いけど…。 それはマウントではなく、主さんが40代にもなって幼…(匿名さん10)
20レス 336HIT 聞いてほしいさん (40代 ♀) -
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今の若い世代が羨ましい。人生やり直したい。
>歌手になりたいと曲作ったり劇団に入ったりなんかしてましたが、今…(匿名さん5)
6レス 252HIT 匿名さん (♀) -
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aikoにそっくりすぎる人の悪口、暴言
https://mikle.jp/viewthread/4146664…(匿名さん1)
1レス 86HIT 職場の小言さん -
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バリウムと胃カメラ
でも呼吸が浅くなるからちゃんと見てくれる医者じゃないと低酸素とかなんと…(社会人さん0)
6レス 119HIT 社会人さん -
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好きで好きでどうしょうもないと思っていたのに…
そうなんですね。いいですね😊(恋愛好きさん0)
8レス 122HIT 恋愛好きさん (40代 ♀)
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サブ掲示板
注目の話題
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フリーだと思ってる彼の家に泊まりに来ようとしてる女子
彼のラインをみてしまいました 過去3回元カノと思われる人から連絡があり終電逃したから泊めてくれと …
24レス 614HIT 恋愛好きさん (30代 女性 ) -
老人にイライラする
高齢者にどうしてもイライラしてしまいます... 仕事柄、高齢者の方とよく関わるのですが、何度説明し…
9レス 204HIT おしゃべり好きさん (20代 女性 ) -
付き合ってると言えないでしょうか?
彼氏とあまり会話がありません。 付き合って半年です。 こんなことを話そう、と思っていても …
9レス 161HIT 恋愛好きさん (20代 女性 ) -
もう生きるのが辛い
なんかどうしてもタヒにたいです。 マスク外したくないって何回も言ってるのに中学言ったらマスク買…
14レス 160HIT 相談したいさん ( 女性 ) -
彼氏の過去、結婚しない方がいいのか。
交際1年半、スマホも触ったまま寝落ちする年下彼氏への出来心で、やってしまいました。 ついつい、…
28レス 979HIT 恋多きパンダさん (30代 女性 ) -
一部の同僚から嫌われる
仕事もとても頑張っていて、ハキハキと元気でいつも笑顔を心掛けているのに一部の同僚から嫌われていて辛い…
13レス 427HIT OLさん ( 女性 ) - もっと見る