Science, English and math 13
The more I expressed, the more what I wanted to do increase, though I find it interesting. When expressing here, I’ve thought I have to study harder, English, math, science, politics, economy, the literature, and culture.
But to my sorrow, I had no sooner left here than I forget it, and indulged in drinking. It seems it is said that combining the Newton Physics, the quantum science, and the superstring theory, we can elucidate the mystery on the outer space.
The problem is even if being able to elucidate it, I’m not sure whether or not I can understand it. I’m afraid I can’t, though I have to study them, but the both of the society and the science is rapid progress, and I can’t follow them easily.
I’ve get used to the length of 600 letters, so this introduction seems to be long.
始まるよ😊
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- ハンドル名必須
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＞＞500 of the last thread of the twelfth
….so, as long as we can know either of them, we can ask for the numeral value after calculating.
Expressing the population density, the speed and the traffic volume with the quantity, we can suggest persuasively. The traffic volume is the most important in the three of the elements. Changing the traffic volume the most so as to turn the flow at the starting point efficient. Let’s do our best as it’s our goal.
《The solution on the problem, showing it with the numeral value. The starting point on the Tokyo marathon where no less 30.000 runners line up》
【Showing up to the problem in the society】
《The solution on the problem1️⃣, showing it with the numeral value…》
Let’s think of the Tokyo Marathon. As surveying the present situation on the starting point, it turned out the next things.
The place is divided into ten block, according to the best time of each of runners, or the rank of estimated time of each of runners.
Its length reaches to some nine hundred meters from the starting point to the end of the starting line.
It takes twenty minutes until the runner of the end of the starting line goes over the starting point.
If making the….
【Showing up to the problem in the society】
《The starting point on the Tokyo Marathon where no less than 300 runners line up.》
If making the traffic volume on the starting point big as much as possible, the number of runners who go over the starting point with regard to the time becomes big, so the runners who are at the back of the whole three thousand runners can go over the starting point faster. What should we do?
The student said like that.
Dividing the whole people into the ten blocks means roughly speaking the whole of runners are divided into thousand of them. Without dividing…
【Facing up to the problem in the society】
《The solution on the problem1️⃣, showing it with a numeral value》
If starting without dividing them at all, how many does it takes time?
The author answered like the next.
Instead of the championship by professional alone, various kinds of people participate in the marathon, so there must have been the strong point of dividing into the block, so let’s consider it without the way of dividing block so as to make the calculation simple in this case.
How do we make them line up the starting line? Which way is the best?
The student said, without…
【Facing up to the problem in the society】
《The starting point on the Tokyo Marathon where no less than three thousand runners line up》
…without packing closely between people, making a little room and making them line up.
The author said he thought it good to make a little room, for with the sigh of starting the marathon, the runners who are at the end of the back can start in no time, though it’s late for a little of starting.
If packing tightly and making a room a little, is it different between them with regard to its time? The student asked and the author said like the next.
【Facing up to the problem in the society】
《The solution on the problem, showing it with the numeral value》
Let’s calculate it actually so as to make sure of it. Its lever rises up a little from here, but I’m going to drop the level until the third grade in high school as much as possible, so please do your best and follow me.
Though the author said like that, I hope to drop the lever until elementary school.
The author continued.
At first we need the information on the width of the road in the starting point. It’s all right if researching it actually, but I’m going to show it with an…
【Facing up to the problem in the society】
《The starting point on the Tokyo Marathon where no less than three thousand runners line up》
I’m going to show it with an assumption, and let’s suppose that the width of the road when the people can stretch was 15 meter. As to the width of the road actually, please regard it as it’s wider than it is actually.
Let’s suppose that not making the people line up at the edge of the road for the sake of the safety, and think of a single person as a square of which each side is fifty cm.
How many people can we make line up at the horizontal and …
【Facing up to the problem in the society】
《The solution on the problem, showing it with numeral value》
How many people can we make line
up at the horizontal and the vertical place on the road?
If the horizontal width of the road is fifteen meters, as the single runner is the width of fifty centimeters, thirty of people can line up there.
If thirty thousand of people line up tightly on the road, the number of the people who line up along the road is a thousand, for the thousand of people divided by the number of thirty people who line up on the vertical side of the road.
As a single….
【Facing up to the problem in the society】
As a single person is the size of fifty centimeters, if filling up the people without any space, the length from the starting point to the back of the line is five hundred meters, 1.000 multiply by 0,5 ie equal to five hundred meters. Then the population density a length of 1 meter is two people. It’s four people a meter square.
If all of the runners make a room, and the whole of the length is L, please bear in mind that we can ask for the density on the length of 1 meter with 1,000 divide by the L.
《The solution to the problem2️⃣, building the…》
【Facing to the problem in the society】
《The solution to the problem 2️⃣, building the basic formula, showing the relation between the speed and the density with the linear function》
Let’s use the graph on the walking speed of the people and the population density here. If the density is close to the zero, being able to move at will, and the density is the most, the speed is zero.
When the density increases, the speed decreases, so if expressing it with an easy mathematical formula, it is done with the V is equal to 1-p, and the author said he was going to change the number on the formula…
【Facing to the problem in the society】
《The solution to the problem 2️⃣, building the basic formula…》
…and the author said he was going to change the number on the formula more realistic, but supposing that all the runners lined up neatly at the start of the marathon, so the population density isn’t the one square meter but the length of the one meter where there were the people.
So when the runners stand in line, the biggest population density is the two people at the length of one meter, and the runners are packed tightly, as if they were ordered to fall in line.
As to the speed of the…
【Facing up to the problem in the society】
《…showing the relation between the density with the linear function》
As to the speed of the runner who can move at will, let’s suppose three meter a second, considering its speed, for when walking briskly, its speed is like that.
From now on we are going to express its speed not with V but u, and it’s expressed with the graph. When the vertical axis is three, it means the speed, the population density is 0, and the population density is 2, the speed is 0, and building the mathematical formula from here, and expressing with the x and y which we’re…
【Facing up to the problem in the society】
《The solution to the problem 2️⃣, building the basic formula…》
…and expressing with the x and the y which we’e used to is like the next.
It’s the linear function we’ve learned at junior high school, we can use it when expressing the relation between the speed and density.
When the x increases by 2, the y drops by 3…
To my sorrow, and it’s shameful of me to say, but I can’t understand the content of the graph, so I’m worried about, should I express what I can’t understand very well as if I could? If I read back and do it carefully, I’m sure I can…
【Facing up to the problem in the society】
《The solution to the problem2️⃣, building the basic formula…》
…but I find it complicated, so I’m going to ignore it. I’m afraid I’m not sincere, I’m sorry for it. I may have given up here, but I find this book of とんでもなく役に立つ数学 is interesting, so I’ve wanted to finish expressing it, so omitting the complicated thing and continue, though the complicated thing is important, but no one wants to read the excuse of going around in circles, so I’m going to continue. If having doubt something, please research it for yourself.
Eventually, I hate the math.
【Facing up to the problem in the society】
《…showing the relation between the speed and the density with the linear function》
As the speed is expressed with the u, so the speed is the formula of the right one, and it includes the density of the p, and changing the p into the length from the start line to the end of the line.
The author said the population density is equal 1000 divided by L, so it’s all right we substitute it for the formula in the one of the right side, and it’s the one of the left side, so it’s the mathematical formula on the speed, but what we want to know isn’t the speed.
【Facing up to the problem in the society】
What we want to know the time, the time from sounding the start of signal to the time when the last runner goes through the start line, so we need to add a twist this.
《The solution to the problem3️⃣, the item for the solution, the expansion wave in which the speed is conveyed》
The author said student to listen to him carefully from here.
Let’s suppose that all of the runners started at the same time with the signal of the start, are you ready? Get set, go! It means assuming the sound of the signal spread over to the back of the line with the…
【Facing to the problem in the society】
《The solution to the problem3️⃣, the item for the solution…》
It means assuming that the sound of the signal spreads over to the end of the runners with the speaker in one go.
As there is no one in front of the front runner, so it can run after immediate a second from the signal of the start with the speed of three meters per second, and the next runner can move after the front runner did with the same speed.
Thus all of the runners can move from the front one after another with the speed of three meters per second which is the quickest speed.
【The solution to the problem in the society】
《…the expansion wave in which the speed is conveyed》
Thus the information of being empty in front of it is conveyed to the back of the line one after another is thought of a kind wave, and we call it the expansion wave. The people go out from the front one after another, and it looks as if the line of the people expanded, so we call like that.
The speed of the expansion wave is conveyed to the back with a meter a second, and its speed isn’t influenced with the speed of the movement of the people very much, assuming being able to move 1 m a second
【Facing up to the problem in the society】
《The solution to the problem3️⃣, the item for the solution…》
After the expansion wave reached, the person there can move with its quickest speed, but before the expansion wave reaches, the others walk with the speed of the u, so the others walk with the speed of the u until the expansion wave reaches, after it reaches, it will be able to move with the speed of 3 meters per second.
What we try to seek is the time when all the line of the people go through the start line, the T, it means that the time when the last person reaches the start line.
【Facing up to the problem in the society】
《…the expansion wave in which the speed is conveyed》
The person at the end of the line walk with the speed of u, and when does the expansion wave reaches?
The student asked like the next.
Is it the same as the next question? When two of people walks from opposite direction, how many seconds until do they come across?
The author said it is. Two of the people are away from the length of the L, the one walks with the speed of a meter a second, and the other with the speed of u. It’s just that we have only to do that the L divided by 1+u.
【Facing up to the problem in the society】
《Solution to the problem 3️⃣,the item for the solution…》
The relative speed of approaching each other is the addition of 1 + the u, and we have only to seek the time of moving the length of the L with speed of 1+ the u, so we can seek the time of the T when all of the runners can go through the start line.
In short, the time when the expansion wave reaches is the t, and until then the runners walk with the speed of the u, and the distance until then is the u multiply by the t. The rest of the length is the ut distracts from the L, and being able…
【Facing up to the problem in the society】
…and being able to move with the speed of 3 meters per second which is the quickest speed with the rest of the length of the L-iut, and it’s the one in the graph of the last response.
If substituting all the mathematical formula to the mathematical ones of those t and u, and adjusting, it’s the one in the graph.
Assuming the function of the t when all the people go through the starting line and the length at the beginning as the L, it’s the graph like the next.
Though it’s complicated formula, it’s what we want the time of going through the goal
【Facing up to the problem in the society】
《The solution to the problem4️⃣, answering with the extreme value, seeking the minimum time with differential》
Including several elements and building the formula. Is it all right if seeking the L which makes the t minimum?
The student asked like that, though I don’t think I feel like seeing it.
The author told the students they were going to make use of the differential which they had never learned from then and continued.
What we want to know is the time of the length of the L when all of the runners go through the goals becomes minimum.
【Facing up to the problem in the society】
《The solution to the problem 4️⃣…》
So thinking of the graph like the one of this response and assuming that it was.
When three thousand people stand in line, if keeping a long distance too much, all of them can move with the signal that are you ready? Get set, go! Then the person at the end of the line is away from the start line and it takes time too much. The longer keeping the distance, the longer it takes time.
On the contrary, if packing all the three thousand runners tightly and making the whole length short, what happens then?
【Facing up to the problem in the society】
《…answering with the extreme value…》
The people at the end of the line can’t move at all, so instead of shortening the time, it takes time too much.
Both of packing tightly and being away from the start line too much, it takes time too much, so is there appropriate length in between? When there is the room to some extent, the flow of the whole goes better and all the people can move easily? We should imagine like that.
Then if using the differential, we can seek the place where the max value and the minimum value easily.
【Facing up to the problem in the society】
《…seeking the minimum time with differential》
Please look at the graph in this response. It means the minimum time The difference between other graphs is drawing the line there. This place becomes flat, and other places are always diagonal.
If the tangent line is the flat, the inclination is zero. Seeking the rate on the change with the differential, in short seeking the inclination, so if doing the differential and its numeral value is zero, it becomes the minimum time on the graph.
So we’re going to build the formula on the differential.
【Facing up to the problem in the society】
《The solution to the problem 4️⃣….》
Then we want to know how much the whole time changes, according to the L of the length.
The one which is the denominator is the cause, and the numerator is the one which we pay attention, the one which we want to look at the situation of changing, doing the differential and placing it as the zero and being able to build the formula, and solving leads to the L of the length which make the time of passing through the goal minimum.
Building the formula on the T and doing the differential with the L the author says…
【Facing up to the problem in the society】
《…answering with the extreme value…》
…the author told the students they could solve it with the formula of the differential which they would learn in the future from then, and omitting the way of calculating in details here, and its answers alone like the graph on this response.
If solving the formula, the L, the length is 750 meters, we can get a nice round number then. As to its time, if substituting the u which is the time when the expansion wave reaches and the whole time, we can calculate how much it takes the time.
The author suggested…
【Facing up to the problem in the society】
《...seeking the minimum time with the differential》
The author suggested the readers calculate for themselves, but without looking at it, I gave it in no time.
The student answered it's five hundred seconds, some eight minutes, and the author said that's right and continued.
Without taking any space among the people, its length was five hundred meters, and if substituting it and calculating, it's six hundred sixty seven seconds, some eleven minutes, but when taking the space, being able to shorten no less than some three minutes.
As a result....
【Facing up to the problem in the society】
《The solution to the problem ❸》
As a result, it's good not to packed tightly with regard to the line of the people, As to its density, the thousand of people divided by seven hundred fifty meters is equal to 1.33 meter, the answer is some one meter a person.
When standing in line, if taking the space of a person from the front one, the whole of the runners can go through the start line faster. It's close to the rule of a second.
The student asked, is it faster than the block segment?
The author answered, he did the rough calculation, even if...
【Facing up to the problem in the society】
《...answering the question with the extreme vale and...》
...even if doing the block segment, the result is almost the same. If being in interested in it, assuming how long taking the space between the blocks, please calculate it for yourselves.
Needless to say, it's the theoretical calculation, so if carrying it out actually, there is a high possibility that we can't shorten the time by eight minutes. I'm afraid it won't go well like that, but without costing so much, we can carry it out at ease, so it may have been useful for something.
【Facing up to the problem in the society】
《...seeking for with differential》
We can make the analysis more accurate, or doing the block segment and calculate its time. After this class finishes, please think of the matter about which you're curious with the math.
By the way, varied people run in the Tokyo Marathon, and when looking at the eligibility for participation, the requirement on joining it in, its age is older than eighteen and the one who can complete the course within six hours and forty minutes.
A wide range of ages, and there are from beginners to experts, moreover there...
【Facing up to the problem in the society】
《The solution to the problem3️⃣…》
…moreover there is a disabled person who need a guide runner, so we have to come up with something so as that all the people who join in the marathon run at ease. This time, we have narrowed down the problem, after completed it, we need to take care of other things.
The block segment with each of time of runners have been done actually, and it’s an appropriate system, for when varied speed of people move at the same time, standing in line with the order from the ones who are faster is the most smooth, for the total…
【Facing up to the problem in the society】
…for the total time on the marathon will be shortened by a few hours. As to the line of lots of people, we can put a practical use of not only the marathon but other of various things. For example, an event or a concert in which lots of people gather, of thousands of people gather in a station happens every time, and then all the people should not be packed densely with the view point of the safety, of the effective flow of the people, of the stress.
《There is a hint in the Shinjuku station so as to prevent an accident from happening on the… 》
【Facing up to the problem in the society】
《There is a hint in the Shinjuku station so as to prevent an accident from breaking out at the Mecca》
The author said he had done joint research with Saudi Arabia on the pilgrimage at the Mecca. As to the size of the crowded people, it’t bigger than any other things in the world. Muslims visit the Mecca in Saudi Arabia from all over the world for a few days on the month of pilgrimage of the Islamic calendar every year, and it is said its number reach no less than three million.
As those large number of people gathered, a large size of congestion….
【Facing up to the problem in the society】
《There is a hint in the Shinjuku station so as to…》
…a large size of congestion breaks out and an accident tends to happen as well, so the catastrophe that no less than some one thousand and four hundred of people were crushed to death broke out at the tunnel of the outskirts in Mecca in 1990.
Three hundred and sixty four of people were crushed to death near the bridge of the Mecca in 2005, for the large number of pilgrims rushed to the entrance of the bridge, and the one who’s went into the bridge were more than the one who went out of the bridge.
【Facing up to the problem in the society】
《…so as to prevent an accident from breaking out in Mecca》
Then the population density rose all at once, so the catastrophe broke out then.
The simulation on the movement of the people or its mathematical research have been done until at present, so the varied measures have been taken.
For example, installing a camera at the intersection of the road and watching the population density at the entrance for the pilgrims or estimating the routes for the pilgrims well and making the pilgrims scatter and reach them near the bridge.
In addition…
【Facing up to the problem in the society】
《There is a hint in the Shinjuku station so as to…》
Moreover the extension work on the bridge has been done, trying to make the bridge the six storied building and tries to solve the problem all at once. It is said its budget is some one hundred three billion yen, but there are lots of other problems, so being unable to spend on the lots of money like that, how should they vanish the accident? The way of controlling the crowd has been groped for.
The author said ten people including him were gathered from the world and tried to solve the problem.
【Facing up to the problem in the society】
《…prevent an accident from breaking out at the Mecca》
The author said he was happy because the math can contribute to the safety on the national level like that and it’s a rewarding job for him.
Except for the author, varied kind of people gathered so as to solve the problem in the Saudi Arabia. The one who designed the transportation of supplies in the Montreal Olympic, for lots of people gather from all over the world. The author said he was sure the one who designed the transportation of supplies will be in charge of the operational design on…
【Facing up to the problem in the society】
《There is a hint in the Shinjuku station so as to…》
The author said he was sure the one who designed the transportation of supplies will be in charge of operational design on the shuttle bus, for when he went to the place where the shuttle bus was, there were so lots of them that the horizon became hazy.
There was the one who carried out the research on the infectious disease, for the people were so crowded, if the infectious disease breaks out it will spread over them all at once, so it’s a big problem.
There was a woman researcher who the …
【Facing up to the problem in the society】
《…prevent an accident from breaking out at the Mecca》
There was a woman researcher who the author studied together, being from Italy. She was the specialist on the proxemics 近接学 in the field of the psychology, the study on the action on a person who stays with others. Our feeling changes when being alone, being with someone strangers, or being with someone who we know well, and the feeling influences over the action by the people.
As to the Haji pilgrimage, there is the one with its family members and the one who is alone, even if its the same…
【Facing up to the problem in the society】
《…prevent an accident from breaking out in the Mecca》
…even if it’s the same person, its action changes so much according to the surroundings, and she studied how much the feeling on the people and the change on the surrounding influences over the action on the people.
When the author spoke the idea of solving the problem in front of the people in the government of the Saudi Arabia, it seemed his story was interesting for them. It’s the relation between the Saudi Arabia and the Shinjuku. What do you think it is?
Three million of people on the…
【Facing up to the problem in the society】
《There is a hint in the Shinjuku station so as to…》
Three million of people on the Haji pilgrims. It’s the same number as the one who makes use of the Shinjuku station a day, and it’s on the Guinness Book of Record. In short, the Shinjuku station is as if it were the Haji pilgrims every day, so leave the problem to me who lived in the city like that proudly, the author said them like that.
How are the three million of people dealt with in the Shinjuku station smoothly like that every day safely?
It happens every day, so its rule is done….
【Facing up to the problem in the society】
《…prevent an accident from breaking out in the Mecca》
…so it’s rule is done automatically.
As to the Haji pilgrims, there are lots of people who are once in the lifetime, on the other hand, lots of people take advantage of the Shinjuku station as the way of commuting everyday, so all of us learn how we should move without being aware of it, and the order is born automatically.
So before going to the Haji pilgrims, watching the video which shows the action and procedure at the Mecca and learning how to take into action is important.
【Facing up to the problem in the society】
《There is a hint in the Shinjuku station so as to…》
There is the possibility on the whole of the people changes greatly that even heightening the conscience of each of them a little. And there are several train lines in the Shinjuku station, so the one who makes use of the Shinjuku station has some choices, so making the flow of the people scatter well may have prevented the people from concentrating on the same place all at once.
The problem on the issue is various of people gather in the Mecca from all over the world, a granddad, a grandma, and…
【Facing up to the problem in the society】
《…prevent an accident from breaking out in the Mecca》
…a granddad, a grandma, or both of them with family members walk in the pilgrims, the elderly are a lot as to its percentage, and each of them come from varied areas like Europe, Asia and Africa. Not only their speed of walking but behavior patters are different. The culture, background, the attitude to the superiors and the way of thinking against both of men and women makes them take into action differently altogether.
The author said he had hardly taken the personality into consideration….
【Facing up to the problem in the society】
The author said researchers including him had hardly taken the personality into consideration in the simulation of crowded until then, but started to pay attention to the different movement of individuality when the people becomes the group and started the simulation.
《What is the antonym on the waste?》
The author said he’d studied on 無駄 in Japanese, handling it in the math. To be honest, I’m worried about how should I express it with the English. In general, it seems that the waste is widely used. What is the antonym on the waste? Is it useless?
【Facing up to the problem in the society】
《What is the antonym on the waste?》
But the antonym on the useless seems to be useful…
The author and students talked like that and the author continued like the next.
Those things aren’t written in the dictionary, and I don’t think it feels right on the definition of waste written in the dictionary.
Someone says the world is full of waste, and the other says there is nothing useless in the world, and the definition on the waste isn’t done clearly causes the different opinions. Math starts from defining a word clearly. As to the waste, starting…
【Facing up to the problem in the society】
《What is the antonym on the waste?》
…starting from defining the waste, but it’s rather hard than I expected. For example, is the life insurance the waste? If being able to keep healthy for ever, it means throwing away the installment in vain, but if being in sick without insurance, we have to pay expensive medical expenses.
The author said the students must have had a hobby, something like playing the piano. Without doing anything on the hobby, how about concentrating on studying? Having the hobby is the waste of the time? If thinking like that…
【Facing up to the problem in the society】
《What is the antonym on the waste?》
…what is the waste? I’m not sure of it, and the author continued like the next.
Thinking of it for a while I can understand we can judge by deciding its goal and period whether or not it’s the waste.
For example, there is the line of ant which goes and comes back between its nest and the feeding ground. It is known some 20 % of the ants failing to carry the feed among the line of the ant. It seems to be waste at first glance, but they happen to find out other feeding ground sometimes.
In short, it may have been…
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納豆モリモリ納豆納豆納豆3レス 110HIT 自由なパンダさん
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目薬をもらうとき1レス 60HIT おしゃべり好きさん
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内職を探す酢5レス 94HIT 社会人さん
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お腹が空いたら1レス 100HIT 自由なパンダさん
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納豆モリモリ納豆納豆納豆
金玉が納豆菌でネバネバになり ハンドル持つ手がベトベトになります！ …(匿名さん3)
3レス 110HIT 自由なパンダさん -
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ミクル人には感謝してる
気にしなくてよい 助かって良かったね(第三臓器)
1レス 95HIT おしゃべり好きさん (♀) -
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目薬をもらうとき
問診に書いて直接口でも言います。 そんな適当ですかね？(匿名さん1)
1レス 60HIT おしゃべり好きさん -
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内職を探す酢
内職って作った製品に対して対価を払う。 空いた時間を使っても時給50…(匿名さん4)
5レス 94HIT 社会人さん -
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お腹が空いたら
家で作るか店に行く ラーメン食べたい🍜(アーモンド愛)
1レス 100HIT 自由なパンダさん
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新着のミクルラジオ一覧
サブ掲示板
注目の話題
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クリスマスプレゼントの予算でモヤモヤ
彼氏にクリスマスプレゼントの予算を確認したところ、「すでに予算3,000円で買ってある」と言われまし…
42レス 696HIT 恋愛中さん (20代 女性 ) -
座席を譲ってくれないことに愚痴る人
妊婦や年寄りはなぜ普通席で譲ってくれないと愚痴を言うんですか 優先席なら分かるけど普通席は譲っても…
12レス 178HIT おしゃべり好きさん -
2年片思いの女性とクリスマス会える事に
2年程片思いしている女性とクリスマス仕事終わりに会える事になりました。 一時期好きバレをして、口を…
6レス 163HIT 片思い中さん (20代 男性 ) -
パワハラ上司に攻撃されている部下への助言の仕方
私がパワハラ被害を受けた時に上司に相談した時は「主さんにどっか落ち度があるんだよ。〇〇さん（パワハラ…
6レス 108HIT 社会人さん (20代 女性 ) -
デブは恋愛不利？
私は太っています。 健康診断で軽度肥満と書かれました。 もったいないとか痩せたら彼氏できるよと言…
15レス 349HIT 恋愛初心者さん (30代 女性 ) -
顔がダントツ一番だと思う女性芸能人
美人、かわいい、綺麗その他もろもろ全部含めてあなたが顔がダントツで一番だと思う女性芸能人は誰ですか？
17レス 510HIT おしゃべり好きさん - もっと見る
