empty set is real in daily life
3:49
14 күн бұрын
proof of angle construction problem
5:53
what is the right limit of 1?
2:24
a multivariable function?
2:35
pronunciations of numbers!
4:09
what's the area of a star ?
3:26
2 ай бұрын
diameters of Sun, Moon, Earth
6:03
how to find tan 36 degrees.
3:49
3 ай бұрын
perfect solution to ax+b=0.
4:32
3 ай бұрын
Пікірлер
@ConradoPeter-hl5ij
@ConradoPeter-hl5ij 6 сағат бұрын
Good vídeo 😊
@math_travel
@math_travel Сағат бұрын
@@ConradoPeter-hl5ij truly thanks for watching and comment. A happy new year🤗
@thundershort997
@thundershort997 Күн бұрын
Assalam o Alaikum, i may have better technic, since given portion is 57x135 we use a method called splitting of numbers, so, we can say that 57x135 is equal to the following: 50x100+7x100+50x35+7x35 you can also simplify as 50×100+7×100+50×30+50×5+7×30+7×5, this will be equals to 5000+700+1500+250+210+35=7696 Jazak Allah khair ❤
@math_travel
@math_travel 22 сағат бұрын
goood technique. thank you for sharing.
@ClaudioButtazzo
@ClaudioButtazzo 15 күн бұрын
To do 57●135 in this case is more quickly to apply the DUSTRIBUTY PROPERTY and therefore to multiply directly all mentally (60-3)●135 which is = to 8100-405 = *"7695"* 💪✌️🤙🇪🇺🇪🇸🇨🇭🇮🇹🤦🏻vamos olè
@math_travel
@math_travel 14 күн бұрын
I agree with you. thanks😁
@stephenlesliebrown5959
@stephenlesliebrown5959 15 күн бұрын
Can't fault Euclid, haha! The empty set in art, music, etc. is a surprising novelty but not, I think, the best way to communicate an idea because it is too dependent on interpretation and may be misunderstood, or worse, dismissively ignored. That's a great thought provoking video, though 🙂
@math_travel
@math_travel 14 күн бұрын
thank you for your kind advice. you have a good point. this is a kind of math play. I love it. and I hope you have fun with it, too.
@cupiodissolvi9942
@cupiodissolvi9942 17 күн бұрын
Don't you think the first important thing would be to say that there is no number wich integer part is 0 and wich decimal part is .999... 0.999... is not the number wich integer part is 0 and wich decimal part is .999... 0.999... is the number wich integer part is 1 and wich decimal part is .000... There is only one number in this equality : 0.999...=1 The number is 1
@math_travel
@math_travel 16 күн бұрын
what you said is there is no number like 0.999...? only 1 exists. right? I want to know the reason why there is no 0.999... I think 0.999... exists. thanks😀
@cupiodissolvi9942
@cupiodissolvi9942 16 күн бұрын
Because floor (0.999...)=1 So 0,999... Is not the number which integer part is 0 and which décimal part is .999...
@math_travel
@math_travel 16 күн бұрын
@@cupiodissolvi9942 sorry. I can't catch exactly what you said. I think 0.999... is a number.
@cupiodissolvi9942
@cupiodissolvi9942 16 күн бұрын
It is the number 1
@cupiodissolvi9942
@cupiodissolvi9942 16 күн бұрын
0.999... and 1 are the same number They are 2 notations of the number 1 They are not 2 numbers which equal each other They are not 2 points touching each other on the line of real numbers They are the same point If 0.99... would be the number which integer part would equal 0 it couldn't equal 1
@vesuvandoppelganger
@vesuvandoppelganger 20 күн бұрын
Does the aether not exist? "In May and November, the Earth is moving at "right angles" to the line to Algol. During this time we see minima happening regularly at their 2.867321 day intervals. However, during August, the Earth is rapidly moving towards Algol at about 107,229 km/hr as explained on my How Fast Are We Moving? page. (The Earth moves approximately 202 times its own size in one day.) So in 2.867321 days the Earth moves about 7,379,039 km closer to Algol. _But the varying light from Algol doesn't know this - its light waves left Algol 93 years ago and are travelling at a constant speed._ The result - we "catch a bunch of minima early" during August as shown on Chart 2. Exactly the opposite happens during February - the Earth is moving away from Algol that fast and it takes longer for the group of minima to reach us so we see them taking longer between events. How long? 7,379,039 km divided by the speed of light 299,792.458 km/sec is 24.61382 seconds. So in May and November when we are not moving towards or away from Algol - the period seems constant. It is our rapid movement towards or away from the events in August and February that causes the timing differences." I assume that light is passing the earth at c when the earth isn't moving towards or away from Algol. In February the earth is moving away from Algol and the time between the eclipses is 2.8675875347 days and the light is passing the earth at 186,265 mi/sec. In May and November the earth is not moving towards or away from Algol and the time between eclipses is 2.867321 days and the light is passing the earth at 186,282 mi/sec. In August the earth is moving towards Algol and the time between eclipses is 2.8670608912 days and the light is passing the earth at 186,299 mi/sec.
@Avishkaemanga
@Avishkaemanga 21 күн бұрын
I needed this video. Thanks a lot.❤
@math_travel
@math_travel 21 күн бұрын
l need you, too. thanks
@math_travel
@math_travel 21 күн бұрын
A quick update I’ve created a separate video where you can visually follow the calculation process step by step. kzbin.info/www/bejne/maLYkGivqMpgjZY Watching this video will make it much easier to grasp. This method is the same as the well-known rapid multiplication technique. I highly recommend checking it out. Thank you!
@math_travel
@math_travel 21 күн бұрын
a quick update I’ve created a separate video where you can visually follow the calculation process step by step. kzbin.info/www/bejne/maLYkGivqMpgjZY Watching this video will make it much easier to grasp. This method is the same as the well-known rapid multiplication technique. I highly recommend checking it out. Thank you!
@rcb3921
@rcb3921 25 күн бұрын
The algorithm on the right is the sum of four products, and the algorithm on the left is also the sum of those same four products. Both methods execute the same set of operations performed in essentially the same sequence, with a few superficial differences around how to manage the placeholding zeros.
@AndrejPanjkov
@AndrejPanjkov 25 күн бұрын
i think you glided over why cube roots are not constructible. you stated that the construction you showed can't do it, but that doesn't preclude other constructions. (I know there aren't, just saying you haven't said why.)
@math_travel
@math_travel 25 күн бұрын
your comment is right. I glided. you have such a keen eye. I wanted to focus on the issue this video is dealing with. sorry and thanks😁
@stephenlesliebrown5959
@stephenlesliebrown5959 29 күн бұрын
A difficult proof explained convincingly! 🙂
@math_travel
@math_travel 28 күн бұрын
@@stephenlesliebrown5959 thanks a lot.
@TristanSimondsen
@TristanSimondsen Ай бұрын
How do you pick TWO doors with ONE pick? Not pick FROM, but "pick" where you will also need to be able to "open" and actually "obtain" that item behind the door. How does the player have that ability with one pick with two doors? Player has ZERO probability to pick, open and get whatever is behind that door Monty eliminates entirely. Put two different tangible items each behind the two no-car doors and it will be clearer to you. The 2 goats were a way to disillusion you with your 1/3 probability to pick ONE door, OPEN it and actually GET that specific item behind it.
@math_travel
@math_travel Ай бұрын
I want to tell you what I meant. you pick the door A. The host opens door B, one of the remaining doors, where the goat is hiding. if you take the chance to change the door, you can choose the door C and open that door. as a result two doors are opened, door B and door C. if you change your choice, it seems like you open two doors. the pobability is doubled. I thought so. thank you for your comment!
@TristanSimondsen
@TristanSimondsen Ай бұрын
@math_travel Thanks for your reply. Whichever item is behind the door removed by the host cannot be obtained by the player. So that doesn't add the additional 1/3 probability to the player. If you put two different tangible items behind the 2 no-car doors, i.e. a dog and a horse, you will see clearer that once the host removes either, you are left with car and the other animal. Player has equal probability to stay and get that item behind the door he picked, or switch to get the remaining item in that other door. Bottom line is player has a 1/3 probability to pick a door, and get either the car, the dog or the horse behind that door. If he switches, he also has a 1/3 probability to get either the car, dog or horse behind the door he switches to.
@math_travel
@math_travel Ай бұрын
@@TristanSimondsen Sorry for the late reply. you said that the probability of getting a car does not increase by 1/3 because there is no car behind the door that the host opens. and two door's probability of getting a car is the same, 1/3, whether you change your choice or not. Right? If you follow that argument, the probability should be 1/2. Because there is a car in one of the two. if you change your choice, it becomes a game where you choose one of the two. If you don't change your choice, the probability is still 1/3. the condition of opening the door by host doesn't affect at all. in fact if you actually change your choice, the probability becomes 2/3, not 1/2. That's because it's like playing a game where you choose two out of three. It seems that you are only focusing on the last condition. There is a car in one of the two doors, and the probability is the same. In the Monty Hall problem, that scene is a kind of trap. Focusing on that makes you think that you don't need to change your choice. However, this problem asks about the probability if you change your choice in that way and try many trials. The condition has changed, and that changed condition changes the probability value. the key is noticing that difference. It's not easy for me to explain only in words.
@TristanSimondsen
@TristanSimondsen Ай бұрын
@@math_travel Thanks for your time. The 2 doors that you didn't pick is (1-X). In order for them to be viable for you to SWITCH FROM you would have to pick them first, and you only have a 1/3 probability for each door.
@math_travel
@math_travel Ай бұрын
@ I want you to do experiments a lot of times and compare two cases. I did. the result is that the probability in changing would be almost double. I’m sure.
@stephenlesliebrown5959
@stephenlesliebrown5959 Ай бұрын
Looks like there's a leading +/- symbol in the final blue box that should be erased. Now, you certainly derived the quadratic formula using a substitution which is novel! However, a natural question to ask is how was the particular formula for y chosen? I think completing the square is equally complex but that's just an opinion 🙂
@math_travel
@math_travel Ай бұрын
oh no! what a mistake. thanks~
@starsun2347
@starsun2347 Ай бұрын
≈1.2954545 if x=1
@math_travel
@math_travel Ай бұрын
@@starsun2347 thank you~~
@starsun2347
@starsun2347 Ай бұрын
@math_travel I am a KZbinr btw...
@review_beehive_1
@review_beehive_1 Ай бұрын
hello!
@math_travel
@math_travel Ай бұрын
@@review_beehive_1 hi~~
@review_beehive_1
@review_beehive_1 16 күн бұрын
@math_travel, did you know absolute value of 0^i=1?
@megaxind16
@megaxind16 Ай бұрын
Is it really that effective? I see it more complicated than normal calculations.
@math_travel
@math_travel Ай бұрын
As you said, my explanation may seem more complicated. Because I did not make the video properly. But if you express this method in vertical multiplication, it is the same as the method known as fast multiplication. kzbin.info/www/bejne/oaevm6OHZb16l9E Thanks for the comment.
@stephenlesliebrown5959
@stephenlesliebrown5959 Ай бұрын
That's a nice introduction to the notion of a challenge number which reappears when students see epsilon in their study of the definition of a limit in calculus. 🙂
@math_travel
@math_travel Ай бұрын
thanks a lot😁
@MrTalkingzero
@MrTalkingzero Ай бұрын
When I chose the door but that door isn't opened ,it's like not choosing anything at all. What if the winning prize is behind the door I chose?
@math_travel
@math_travel Ай бұрын
if then, unfortunately you could't get a red car even though the probability is twice. I'm sorry. I guess that you already understand my explanatons. thank you☺
@stephenlesliebrown5959
@stephenlesliebrown5959 Ай бұрын
A very clear presentation 🙂
@math_travel
@math_travel Ай бұрын
that's what I am working on. thanks🤗
@emefcue
@emefcue Ай бұрын
Interesting way to explain this! Nicely done 😊
@math_travel
@math_travel Ай бұрын
thank you so much~~😁
@stephenlesliebrown5959
@stephenlesliebrown5959 Ай бұрын
Well done! Might add a shortcut to tell if y is a function of x when presented with a graph: If a vertical line touches or crosses the curve at more than one point the relation is not a function (the so-called "vertical line" test) 🙂
@math_travel
@math_travel Ай бұрын
your comment seems very appropriate and effective. I didn't know the method you mentioned is called vertical line test. thanks^^
@ClaudioButtazzo
@ClaudioButtazzo 2 ай бұрын
Ok all well, but how can you memorize all the "partials results" of the 4 process in your head and then at the end add them in the diagram you showed?? Are you able to rememver all these numbers correctly? Thx.
@math_travel
@math_travel 2 ай бұрын
actually that's exactly what I was wondering. anyway I can't do that now. thanks
@ClaudioButtazzo
@ClaudioButtazzo 2 ай бұрын
@math_travel But I say to you that I'm able to calculate it all in the same way in my head. And not few digits but for example 4digits ● 4digits and write directly the solution.
@math_travel
@math_travel 2 ай бұрын
@@ClaudioButtazzo congratulations😁
@ClaudioButtazzo
@ClaudioButtazzo 2 ай бұрын
@math_travel Thx, but don't worry because if you are good in head calculations, you will be able too to do it. But I solve to multiply in cross using the VEDIC MATH, that's very similar of Trachtenberg method but that isn'tnecessaryto put all those CERO as you done.
@stephenlesliebrown5959
@stephenlesliebrown5959 2 ай бұрын
Third Century BC and he hypothesized that the Earth moved around the Sun and used a lunar eclipse to measure the Moon's diameter..... Amazing. Great video! 🙂
@math_travel
@math_travel 2 ай бұрын
@@stephenlesliebrown5959 yes. he did. he was the grand~~~~~father of Copernicus. he has been considered as a person who inspired Copernicus. thanks.
@marioalb9726
@marioalb9726 2 ай бұрын
a= 2cm, b= 4cm, R=3cm Pytagorean theorem twice: R² - r² = r² + [½(b-a)]² 2r² = R² - 1² = 3²-1 = 8 r= 2cm ; d= 4cm ( Solved √)
@math_travel
@math_travel 2 ай бұрын
clear! thank you.
@marioalb9726
@marioalb9726 2 ай бұрын
R = 6 cm ; α= 60°= π/3 r = ½R/cos30° = 2√3 cm Area of circle : A₁ = πr² = π(2√3)² = 12π cm² Area of angular sector: A₂ = ½αR² = ½ π/3 6² = 6π cm² Area of circular segment: A₃=½r²(2α-sin2α)=½(2√3)²(120°-sin120°) A₃ = 7,37022 cm² Red shaded area: A = A₁ - A₂ - 2A₃ A = 12π - 6π - 2*7,37022 A = 4,109 cm² ( Solved √ )
@math_travel
@math_travel 2 ай бұрын
similar but different. I like your solution more than mine. thank you for sharing😁
@stephenlesliebrown5959
@stephenlesliebrown5959 2 ай бұрын
Shows that transforming a shape into a different shape by cutting and pasting is a good technique to get the area. Great! 🙂
@math_travel
@math_travel 2 ай бұрын
I like this way. it's fun. thank you.
@rivenoak
@rivenoak 2 ай бұрын
the ancient calculation was off, sun is much larger still props for idea and a moon crater was named after him in modern times
@math_travel
@math_travel 2 ай бұрын
I didn't know about that moon crater. thank you so much😁
@stephenlesliebrown5959
@stephenlesliebrown5959 3 ай бұрын
Ok, but I think the relations between roots and coefficients would have to be geometrically demonstrated also 🙂
@math_travel
@math_travel 3 ай бұрын
that was the same question I had and tried. I am hoping that somebody will answer this question. thanks😁
@RoseOnFire
@RoseOnFire 3 ай бұрын
This honestly deserves more views!
@math_travel
@math_travel 3 ай бұрын
your comment makes me happy. I am wondering what 'more' is.
@JojoGutierrez-dz4ox
@JojoGutierrez-dz4ox 3 ай бұрын
¹³³⁴⅝6⅞89ⁿ∅0
@math_travel
@math_travel 3 ай бұрын
it seems like it is a kind of symbol which means something. um...🤔
@PresidentialTrio1
@PresidentialTrio1 3 ай бұрын
It's her dad? She says dad many times in the movie
@math_travel
@math_travel 3 ай бұрын
do you mean the guy who lives with her? he is her uncle, which is her mother's brother.
@stephenlesliebrown5959
@stephenlesliebrown5959 3 ай бұрын
Yes it is well done! It's a long process without a calculator no matter how it's done. As a suggestion, several times what appears to be a fraction bar or division symbol is used as an underline to emphasize the audio which confused me at first. Examples are 1:24 and at the end for the A substitution. Best, I think, to just write tan 180 degrees=0 and A=x^2. I wish the math world would add 36, 54, 72, and 108 to the list of "special angles" since pentagons and pentagrams turn up a lot. Best wishes to all 🙂
@math_travel
@math_travel 3 ай бұрын
thank you for the suggestion. a good idea to include 36 degrees in special angles. that idea gave me a inspiration that special angles are deeply related to shapes.🤓
@reelkanha
@reelkanha 3 ай бұрын
Thx for explaining
@math_travel
@math_travel 3 ай бұрын
thanks for watching and even a comment.
@a.wilkins1708
@a.wilkins1708 3 ай бұрын
I love reading all the comments on here. Very educational.
@math_travel
@math_travel 3 ай бұрын
I am happy to hear that. let’s enjoy math-travel. thanks😏
@lilarenasguibe
@lilarenasguibe 3 ай бұрын
my school classic way was faster
@math_travel
@math_travel 3 ай бұрын
you were so lucky. you just follow that way. thanks😁
@stephenlesliebrown5959
@stephenlesliebrown5959 3 ай бұрын
A very clear explanation of higher dimensional shapes. Should excite the imagination of many viewers. The graphics of your presentations are great 👍 Best wishes to all 🙂
@math_travel
@math_travel 3 ай бұрын
thank you so much. you are the best for me🤣
@mrgunn3r904
@mrgunn3r904 3 ай бұрын
Clickbait.
@math_travel
@math_travel 3 ай бұрын
sorry and thanks. you must be 1 out of 10.
@tjcambre5236
@tjcambre5236 3 ай бұрын
Thank you
@math_travel
@math_travel 3 ай бұрын
I appreciate your comment~~
@Irontygre
@Irontygre 3 ай бұрын
Very clickbaity. If you want to pick at the ambiguity of the problem, you still failed, because if you want to be truly pedantic you have to accept that not only was the domains of a and b unspecified, but the set in which a, b, and x exist was also unspecified. You then assume without basis that the equation is in field ℝ. If, for example, a is part of GL_N(ℝ) and and b and x is part of ℝ(N), then your first answer is wrong because division doesn't exist in this field and the correct answer is x = -a^(-1)*b. And for extra giggles, if we generalize further and say a is part of just the general set ℝ(NxN), then all bets are off because there's an infinite number of non-invertible elements a where nonzero sets of x and b will still satisfy the equation.
@math_travel
@math_travel 3 ай бұрын
I admit your comment is right. the domains of a, b, x and clickbaity😁 but thanks to this, I've got a good point from you. thank you.
@Aztonio
@Aztonio 3 ай бұрын
Personally, I try to come up as fast as possible with the most easily usable pieces of informations, for example here I'll need: 135x2 135/2 135x50 135x7 135x57 135*2 = 200 + 60 + 10 = 270 135/2 = 140/2 -5/2 = 70 -2.5 = 67.5 135*(50= 100 /2) = 100*67.5 = 6k +750 ; k=1000 135*(7= 2+5) = 270+675 = 945 = 1k -55 135*57 = 1k + 6k+750 -55 = 7 695
@math_travel
@math_travel 3 ай бұрын
the equation ax+b=0 and the linear equation ax+b=0 are different. I want to emphasize this fact. In the equation ax+b=0, a can be any number. However, when we say it’s a linear equation, a cannot be zero. If a is zero, it’s no longer a linear equation. I know It might sound like wordplay. I also thought like that. but in mathematics, that is true. while studying math, we must accept that distinction. thanks😊
@vinuthomas7193
@vinuthomas7193 3 ай бұрын
This is not the correct answer, either, since it assume addition and division are possible - it depends on the definitions of addition and division.
@math_travel
@math_travel 3 ай бұрын
what you said is that this answer resulted from the assumption of addition and division? I would like to hear more about what you said. and thanks.
@egh66
@egh66 3 ай бұрын
Horrible channel and video
@atomgutan8064
@atomgutan8064 3 ай бұрын
This also applies to the quadratic formula. When the coefficient of x^2 is 0, the formula has a division by 0 in it so the formula cannot be applied in that case. But if the coefficient of x^2 is 0 and the biggest power of x in the equation is x^2 and it is a polynomial, theb it becomes linear because we can just remove the x^2 term. The cases shown in the video represent exactly that, but for polynomials of degree 1 (linear). Because if the coefficient of x is 0, then you can remove the x term and you have a constant function left (polynomial of degree 0). Even though the fact shown in this video becomes useless when solving polynomial equations as a polynomials degree is defined by the degree of the term with highest degree(highest power of x) and nonzero coefficient, it reminds very well that we should be careful about impossible situations in math. Nice video!
@math_travel
@math_travel 3 ай бұрын
"we should be careful about impossible situations in math." I agree 1000%. that's why I like math. math makes me think beyond my limited world. thank you 😚
@zaynbye4275
@zaynbye4275 3 ай бұрын
very interesting, i never thought about this
@math_travel
@math_travel 3 ай бұрын
thank you so much. good day~~😄
@stephenlesliebrown5959
@stephenlesliebrown5959 3 ай бұрын
There are always suppositions. This is the reason questions like this need to have a second part: " (b) State the domain and range". As students mature and take more math classes they will complain, "but professor, obviously a cannot equal zero!" with some justification. Otherwise, for example, a teacher can deny granting full credit if he/she says the answer is x = -b/a +ic where a is not zero but c= 0 without talking about complex numbers in class before the exam. Oh, and where did the statistic "9 out of 10" come from? Best not to use click-bait even though many titles on KZbin do. Best wishes to all! 🙂
@math_travel
@math_travel 3 ай бұрын
at first I also made a mistake this video coverd. I was one of 9 out of 10. however even now, I often make mistakes when solving other problems. that's why I post this video with the exaggerated title. best wished to you🤗
@ther3albatman09
@ther3albatman09 3 ай бұрын
this helped me tremendously, thank you very much dude (p.s. your voice is so nice and soothing😭)
@math_travel
@math_travel 3 ай бұрын
so glad to hear that!!! soothing voice?😋 thank you.
@nuggetz3352
@nuggetz3352 3 ай бұрын
Real
@math_travel
@math_travel 3 ай бұрын
real😁
@stephenlesliebrown5959
@stephenlesliebrown5959 3 ай бұрын
Glad you spoke about repeatedly adding digits to get the remainder in case students are taking a timed exam and just need a quick answer🙂 But you do also show convincingly why it works and how to go about proving the answer 👍
@math_travel
@math_travel 3 ай бұрын
I am trying to do as you said. and you have been encouaging me to do so. I really appreciate that. see you again😁
@SSNewberry
@SSNewberry 3 ай бұрын
or (60 x 135) - (3*135) = 7695. She does not need anything but 2 grade division.