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How to Read Math

How to Read Math


Mathematical equations can be quite intimidating
if you don’t know how to how to read them, but they don’t need to be. It is possible
to learn how to make sense of them even if you don’t know much algebra. So if when
you see and equation it looks like a strange alien language, this video is for you. The first rule is you need to find out where
these things called variables are. A mathematical equation describes a relationship
between things. The most common form is something equals something else. These letters are the
variables and are stand-ins for numbers. You can put any number into them but the equation
fixes what the other numbers can be. For example, y=x means that the numbers in
y and x have to be the same. But in y=2x, the number in y has to be double whatever
the number in x is. The best way to visualise this is with a graph,
and when you do this each variable in your equation gets an axis. And the line on your
graph shows the allowed pairs of values for your equation. Now you can also have equations where the
variables appear in multiple different places, but you still only have two axes. Equations with two variables are the simplest
you can get, but many equations have multiple variables. So if you wanted to draw a graph
of an equation with three variables you would need to have one axis for each of the variables.
But often to make it easier to work with we just concentrate on two of the variables and
keep the other variables fixed. But you can try different values to see what happens. The other thing you get in equations are constants.
You have to keep an eye out for constants because they look like variables, they are
written with a letter, but actually they are just a single number. A famous one is pi, but in science you get
many others. So how do you know which letters or symbols are constants or variables? Well
you don’t. You have to rely on the person writing the equation to tell you what all
of the bits mean. Practically when you use equations in science,
you have the numbers to put in to all the variables apart from one, and that’s the one
you are trying to work out. So you plug in all the numbers and find out what the last
variable should be. Lets look at an example of an equation and
how I would go about reading it. This is Newton’s law of Universal gravitation which looks at
the force of gravity between two masses. First thing you do is work out what all the letters
mean. F is the gravitational force that you are
working out. m1 and m2 are the masses of the two bodies.
G is the gravitational constant, and r is the distance between the masses. Now you work out which letters are variables
and which ones are constants. This formula just has got one constant: G which is a tiny
little number. Now you basically know how to use this formula. If you have the masses
of any two objects and the distance between them, you can plug in the numbers and calculate
the force of gravity between them. So the force of gravity between an apple and an orange
is about the weight of a grain of pollen. Very very small. When you plug numbers in and solve the equation
you have to know what order to do things in. And this is the next thing you need to work
out after you have identified the variables and constants. Knowing what order you would do the mathematical
operations in an equation helps you get your head around them, and there are some rules
about how it is done. Any variables that are just next to each other
are multiplied with each other, and you do these first. At the same time you do any divisions
– but only if it is a single number divided by another number. And then you do the additions
and subtractions. If you’ve got a division, but there is an
addition or subtraction at the top or bottom, you need to make sure these are done first
before you can do the division. And finally, anything in brackets goes before
anything outside of the brackets. There are more rules but this covers you in most situations. When you come across an equation in a book
or video, you are probably not going to start putting actual numbers into it. But running
through what you would do if you had the numbers is a really useful way to get your head around
the equation. In these examples I’ve mostly used normal
letters but many equations also use greek letters. I think this is why equations look
so weird to people because they are unfamilliar with all these strange symbols. But you should
think of them just the same as normal letters, they can be used to represent constants or
variables so they are just the same. You also get other notations like subscripts and these
are all basically used as labels to identify different constants or variables. Other notation
has specific mathematical meanings, and I can’t cover everything in this video, but
if you are ever confused about what something means I encourage you to look it up as they
normally end up being simpler than you think. But also I’ve made a handy cheat sheet which
I’ve put in the descripion below so you can also check that out. Now here are some of the other more common
weird things that you’ll see. You’re all familiar with multiplication, division, adding
and subtracting. These are all things call mathematical operations. But they are not
the only ones, and here are some of the more common ones that you’ll see. This big greek epsilon is a sum operation,
and what it means is that you take this thing and repeatedly add it to itself, but put in
different numbers each time. This is the number that you start at, and this is the number
you end at. It also means that this variable has to be an integer variable, which means
that it can only take on whole numbers, zero, one, two, three, four. No numbers in between.
So whenever you see a sum, just imagine this thing as a whole series of things being added
together, but each having a different value. Similar to a sum is an integral, which really
needs a graph to explain it. It is basically a way of finding the area underneath a line
that is defined here. Like a sum it’s got a beginning and an end, although these can
go from minus infinity to infinity, so you might see that written sometimes too. And finally, related to integration is differentiation
which looks like this and is an operation that looks at how the steepness of a line
changes, called the gradient of a line. So when you have things like dy/dx, they are
looking at the gradients of lines. That’s just a quick look at integration and
differentiation these make up calculus but that needs a whole video in itself to eqplain
properly. I put the here so that you don’t freak out when you see them. So those are the basics of how to read mathematical
equations. Step one find the variables and constants
and what each one represents. Step two work out what all the weird mathematical
operations are. And step three work out what order you would
solve the equation in if you put in the numbers. If you want more info check out this cheat
sheet I have put together with all of the greek letters and most of the more common
mathematical operations, check it out in the link in the description below. If you enjoyed this video, another fantastic
resourse is the sponsor of this video Brilliant.org. There is no better way to learn then by solving
puzzles yourself and at brilliant you learn through active problem solving. They have
a fantastic introductions to mathematics like Patterns and Variables shown here, and what
I love about them is that they are visual and so help you build up an intution for mathematics
and you are not just memorizing formulas or learning sums. It is a lot of much fun, I
really reccommend you giving it a try, just go to brilliant.org/dos or click on the link
in the desription below. And if you like my stuff, consider subscribing
and thank you to all my supporters on patreon, your contributions really help me make this
channel viable. See you in a month for a new video!

100 thoughts on “How to Read Math

  1. As someone looking at going back into mathematics (cal 1/2 linear algebra) as prereqs for uni after twelve years of No Math, I really appreciate these videos. THank you!

  2. 1:35 The value of F should be equam to 20 rounded of to twi significant figures bec m and a had 2 significant figures

  3. 2:19 so what is now meant by force?
    What does this number in the solution mean? So is it for example 1.1•10 to the power of -10 grams or anything like that?

    But still, great video😀

  4. This may as well have in Japanese. I really wish I understood maths in any capacity above primary school.

    (I'm 34 I don't get it PLEASE do not comment trying to explain to me. If I don't get the video, I will not get your comment.)

  5. Hey, the < and > on your cheat sheet makes me SO CONFUSED! All my life i've learnt that i should picture a chicken beak. The one the chicken faces, it eats, thus the remaining is bigger. This is the opposite. I am so confused. 😳😳

  6. лайкайте это, пусть американцы подумают, что я что-то умное написала

  7. When putting a lot of stuff under one topic, you have to get rid of all kinds of unimportant information, then it naturally became clear and convincing.

  8. Step 4. Make sure you are comfortable with your calculator. I know with mine depending on whether I'm entering degrees, radians, or gradient I can switch between those modes. If I want decimal notation then I set my calculator to approximate and if I don't want decimal notation then I set it to exact. Just make sure that when you enter in the values it conforms to the order of operations.

  9. No, y = 2x does not mean that the value of y is twice that of x… 
    For example :  x = 0   gives y = x and if x = -2 then y = -4 which is less than x.

  10. you do awesome work Sir… I printed your work and framed it in my room. i have request for you sir, please make poster for all physics law. when you free… i will be thankful to you.

  11. Since both #'s as well as words are both language,
    were I an instructor, I would teach one right along, not
    with, but through the other.
    Basically they're the same.

  12. How I wish I could go back 30 years and regard this as my first primer in maths, which was so badly taught then, it put me off for life. Not a single one of the explanations in this video was explained back then – not a single one! Somehow we were assumed to know half of this from primary school, but most of us did not. Thank you for starting me from scratch with so much more clarity than I ever was offered all those years ago.

  13. Excuse me other people are braggiq about their bachelor's while I have a PhD in chemistry and am just quiet. Heck, I don't understand the need for people to brag

  14. My favorite thing to do is read math equations that are in the background of shows and movies.

    I just realized how lame that sounds but I still love it.😁

  15. Happy 3rd of june = 6 + 3 And 2019 = 3 = or 12 is 21 or 777 and 5+3 = 8 or 6 and 8 and 6 = 14 = G/G cause G = 7 so GG = 14 and 7 is for Shiva and 14 is for Great Ganesha cause his the Son of Shiva haha Riddle me this Domain of Science ^^ the time is 13H04 in Argentina it's 6 and 9 cause 18 = 9 and also 6 ^^ i got a message for you all

    ^^ did you know 13 is a great number 😏 they just don't want you for know it ^^ it is a 4 = 13 or 4 = 22 or 11:11 or 10 and is a infinite loop 22. the Infinite

    And to a infinite you need one 8 and one 8 = two 3s and two 3s is a 6 Also you can have double 8 = 16. Or you can say 7 = 3301 = 33 = 1 = 7 😏 and 33 = 9 cause if 15:30 is 6 and 3 then 3:30 = 33 and 1 is the next so one 3 dies to birth a 4th that make it a balance of order out of chaos to make it a 7. 😏 Cause 4 means death in Mandarin but 5 is the next one and 5 = 14 that also = 23 and 14 = GG cause G in the alphabet is 7th.

    So 7 = G and then 14 = 5 so 5 = 23 correct 😎👌 now 23 = 2 3's so 2 three's = 33 and also 14 = G G and GG = great genes or great ganesha and ganesh = intelligence and also intellgence = 33 since 33 is the higest level those peep believe in 😄 so 14 = 33 also 33 = 6 and also 15:00 = 6 so if 15 = 6 then 15:30 = 9 cause 15 = 6 + 3 and also 15:30 = 33 😉 so you can make 33 out of 9 or 14 and 9 + 14 = 23 😎 and 23 is everywhere those 2 number = a constant ying yang of order out of choas 😝 and 23 = 5

    And GG = intelligent cause in the "Hindu" religion/mythology ect.

    Shiva = 7 and Shiva son is Ganesha so Ganesha is 14th so Ganesh = intelligent and also they chose a elephant for Ganesha it got the biggest

    Heads/Brain "E' and E = 5 and 5 =,23 as well and 23 is everywhere, like every movie/ shows talks about it check it out and 14 = 5 also so GG Great genes   .

    So the Elephant is the biggest in the Midgard kindgom , like you know the Chant Aum or OM ?

    A = asgard = Heaven

    U = you or innergod self

    M = Midgard = Earth

    So if 8 = 2 3's and that is 6 or 16 = 7 cause 8+8 = 16 so = 11:11 cause 22 also add up to 4 or 13 cause 1+3= 4 👌

    432 = 9 16:32 = 12 / 9+12= 21 / 7×3=21 / 5+7=12 = 3

    And as Tesla said the key to the universe lays in the numbers 369 , 108 and 432 .

    The if he knew that the number 3,6,9 could change the world also 7, 432 ?

    666 =18.45.36.72.9.27.63.54.81=999

    666 = 18 = 9 432hz = 9 420 = 6 16:20 = 7 + 2 = 9

    Well tbh music was not meant for entertainment but to heal and repair people/ DNA thru certain freq/Hz like 432,528,963 hz ect

    And some know about it today from manipulating the freq to make kids dumb down since sheep's are easy to manage like for example 😜

    That laurel, Yanny think. certain age group hear certain freq so it's a

    Battle of the mind with out knowing, anyways stay educated

    Since you get the 180 degree, 360 degree and the 540 degree haha also if you have some 144,000/432=333. 333333

    The key to solving all lays in the number 432 ^^ also the pyramids in the dollar bill is 13steps so 13×33. 3 = 432. 9 as Tesla said once

    If you wish to understand the universe, think of energy, frequency and vibration 😌👌

    3,6,9 because of nikola Tesla and Vortex math 🎓🤔 and 432 because of 432hz and that sound is the sound of the universe not 440hz that is some MK ultra stuff , and the pyramid 482.7575ft x 43,200 = 20,855,124 ft or 3,949834 miles and world grid survey 72 earth polar radius = 3,9498934 miles also 🤔 like the Kali yuga

    And the sun also and 720 mins x 60 sec = 43,200 and 108 since that is what the the solar distant 93,312,000 and 864,000 solar diameter = lunar distant 233,280 And 2,160 lunar diameter to 108 and radius of the moon is 1,080 miles , on earth bekheng, Cambodia, 108 towers , homer used 108 in Odysseus with the suitors and China 108 stars of destiny, it's the ratio of the earth, moon and the sun to trive in earth 🎓✊

    It was know from the ancients til today and bow you know and side note the Pentagon also got 108 degrees 🕉🤔 I don't think it's to fit the roads around it but ✌😌 the more you know

    sacred geometry 🙇✌ ^^ India was the birth place of alot of stuff,

    And also most religion it's all buried is some good esoteric teaching if you time to dig in ^^

    And also we in the 6th root race atm or getting to it ^^ so it's good know about certain occult = hidden knowledge 😜 also.

    The most fundamental pattern to cellular biology is this very sequence.

    Cell mitosis begins with a single cell and multiplies via division. At 4 cells they arrange into a Tetrahedron and at 8 a Star Tetrahedron (doubled and polarized).

    Doubling and halving occurs simultaneously.

    In light of digital root, there are just 6 digits that are used; 1-2-4-8-7-5.

    Halving is simply the opposite direction – 1 halves to 0.5, then 0.25, 0.125, 0.625 etc. The sequence would be 1-5-7-8-4-2.

    These six digits are fundamentally different to the 3 digits left out; 3-6-9.

    We now have reciprocals 1-1, 2-5, 4-7, 8-8 and doubling 1-2-4-8-7-5 and halving 1-5-7-8-4-2.

    The digital root version of the recursive series of simultaneous division/multiplication -halving/doubling, is;

    1 – 1 2 – 5 4 – 7 8 – 8 7 – 4 5 – 2

    This forms a Mod 6 recurring pattern that moves in opposite directions, with the “pivot point” on the ones and eights.

    This grouping of 6 has an inversion point – a line of inverted symmetry like a mirror inverts light.

    The inversion point is “the self-similar 8”. It just so happens that when you are making the doubling circuit on the Rodin dial, the right hand side goes clockwise and then goes through the circle and moves anti-clockwise and back to 1.

    1- 2 – 4….after this it goes to 8 which is on the other symmetrical half and invert up to the top then moves backwards 8 – 7 – 5….. until inverting again to end up back at 1 (64).

    This creates 3 groupings that has a 1/3 relationship in that – the first state of the singularity is self-similar, the next two are not.

    This repeats only now 8 is self similar – this implies a fundamental resonance with the number 1 and the number 8 and is geometric, it has to do with equidistant points that create scales of balance points – equal and opposite forces.

    The magnitude/quantity and relationship of the digits are lent from the nature of the geometry of the simultaneous division/multiplication of the singularity.

    So there are fundamentally just 3 groups but they are mirrored – the quantity and magnitude switch positions after 3 iterations and repeat except they are inverted – only 1 and 8

    The most fundamental pattern to cellular biology is this very sequence.

    Cell mitosis begins with a single cell and multiplies via division. At 4 cells they arrange into a Tetrahedron and at 8 a Star Tetrahedron (doubled and polarized).

    Doubling and halving occurs simultaneously.

    In light of digital root, there are just 6 digits that are used; 1-2-4-8-7-5.

    Halving is simply the opposite direction – 1 halves to 0.5, then 0.25, 0.125, 0.625 etc. The sequence would be 1-5-7-8-4-2.

    These six digits are fundamentally different to the 3 digits left out; 3-6-9.

    We now have reciprocals 1-1, 2-5, 4-7, 8-8 and doubling 1-2-4-8-7-5 and halving 1-5-7-8-4-2.

    The digital root version of the recursive series of simultaneous division/multiplication -halving/doubling, is;

    1 – 1 2 – 5 4 – 7 8 – 8 7 – 4 5 – 2

    This forms a Mod 6 recurring pattern that moves in opposite directions, with the “pivot point” on the ones and eights.

    This grouping of 6 has an inversion point – a line of inverted symmetry like a mirror inverts light.

    The inversion point is “the self-similar 8”. It just so happens that when you are making the doubling circuit on the Rodin dial, the right hand side goes clockwise and then goes through the circle and moves anti-clockwise and back to 1.

    1- 2 – 4….after this it goes to 8 which is on the other symmetrical half and invert up to the top then moves backwards 8 – 7 – 5….. until inverting again to end up back at 1 (64).

    This creates 3 groupings that has a 1/3 relationship in that – the first state of the singularity is self-similar, the next two are not.

    This repeats only now 8 is self similar – this implies a fundamental resonance with the number 1 and the number 8 and is geometric, it has to do with equidistant points that create scales of balance points – equal and opposite forces.

    The magnitude/quantity and relationship of the digits are lent from the nature of the geometry of the simultaneous division/multiplication of the singularity.

    So there are fundamentally just 3 groups but they are mirrored – the quantity and magnitude switch positions after 3 iterations and repeat except they are inverted – only 1 and 8

    Well as Teacher of the truth i actually made a playlist to build roots in the youth of today , and to teach them about the ancient times and ways to live 😉 well the playlist i made is https://www.youtube.com/watch?v=7TivZYFlbX8&list=PLnxuNPIKi9jYsPkTuhjKIR8VWHr_dAy1G&index=10&t=0s

    I'm also a R-h negative with Basque decent so it all comes to me naturally a god giving gift and i mean by god my inner self . as well I'm a infj you/ Virgo/Leo of 22nd August so that's a 4 and 4 =13 = 11:11 = 10 and I'm 27 which = 999 ✊✌👌anyways stay great neti neti

  16. I really like set theory, discrete mathematics and sooo on. But damn! I felt pissed off when I was reading a Lambda Calculi book and then a Hebrew symbol just appeared :@

  17. I was hoping that this would be about how to read a Maths book. I can never seem to understand what a maths book is talking about if it's a new subject to me. I seem to be dependent on a teacher to explain what the book is saying.

  18. The problem with math notation isn't the algebra (although people can get stuck there), but the enormous range of special meanings given to weird usages of non-explanative symbols. Pi? Oh that's a ratio of circles. Oh wait,it's capitalized so it's a multiplicative series! WHAT? Math notation sucks.

    As a bonus, you can't look any of them up, because you have no idea how to type them or sort them.

  19. something equals something else, but something should always equal to itself, x and y are just different forms in which that something exists into, so i suppose something should never equal to something else!!! 0:29

  20. send this to the lady on plane who felt unsafe calling the person writing mathematics on paper writing foreign language and hence feeling like she's unsafe

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