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21 GIFs That Explain Mathematical Concepts
15:55 27.08.2014, Maxx,
amazing,
World Of Technology
“Let's face it; by and large math is not easy, but that's what makes it so rewarding when you conquer a problem, and reach new heights of understanding.”

Danica McKellar

As we usher in the start of a new school year, it’s time to hit the ground running in your classes! Math can be pretty tough, but since it is the language in which scientists interpret the Universe, there’s really no getting around learning it. Check out these gifs that will help you visualize some tricky aspects of math, so you can dominate your exams this year.

Ellipse:

Solving Pascal triangles:

Use FOIL to easily multiply binomials:

Here’s how you solve logarithms:

Use this trick so you don’t get mixed up when doing matrix transpositions:

What the Pythagorean Theorem is really trying to show you:

Exterior angles of polygons will ALWAYS add up to 360 degrees:

If you’re studying trig, you better get pretty comfortable with circles. Check out this visualization that shows what you’re really looking at when you deal with pi:

If an arc of a circle is the same length as its radius, the resulting angle is one radian:

Visualizing sine (red) on the Y axis and cosine (blue) on the X axis. The relative position of the circle is shown in black:

This shows the same thing, but a bit more simply:

Here’s how sine and cosine apply to triangles:

Cosine is the derivative of sine:

Tangent lines:

Flipped on its side, the shape begins to make more sense:

Converting a function from Cartesian to Polar coordinates:

Drawing a parabola:

The Riemann sum is the approximate area under a curve:

Hyperbola:

Translating that into 3D, you get a hyperboloid. Believe it or not, it’s made with completely straight lines:

Seriously. You can even make it do this:

Danica McKellar

As we usher in the start of a new school year, it’s time to hit the ground running in your classes! Math can be pretty tough, but since it is the language in which scientists interpret the Universe, there’s really no getting around learning it. Check out these gifs that will help you visualize some tricky aspects of math, so you can dominate your exams this year.

Ellipse:

Solving Pascal triangles:

Use FOIL to easily multiply binomials:

Here’s how you solve logarithms:

Use this trick so you don’t get mixed up when doing matrix transpositions:

What the Pythagorean Theorem is really trying to show you:

Exterior angles of polygons will ALWAYS add up to 360 degrees:

If you’re studying trig, you better get pretty comfortable with circles. Check out this visualization that shows what you’re really looking at when you deal with pi:

If an arc of a circle is the same length as its radius, the resulting angle is one radian:

Visualizing sine (red) on the Y axis and cosine (blue) on the X axis. The relative position of the circle is shown in black:

This shows the same thing, but a bit more simply:

Here’s how sine and cosine apply to triangles:

Cosine is the derivative of sine:

Tangent lines:

Flipped on its side, the shape begins to make more sense:

Converting a function from Cartesian to Polar coordinates:

Drawing a parabola:

The Riemann sum is the approximate area under a curve:

Hyperbola:

Translating that into 3D, you get a hyperboloid. Believe it or not, it’s made with completely straight lines:

Seriously. You can even make it do this:

Reposted from controversial via odessa2

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Things You Should Have Learnt in School (23 gifs)
15:37 27.10.2014, Maxx,
amazing,
World Of Technology
Not everything we learn in school is very useful but if they had taught us more about this stuff then we would definitely all be a bit smarter.

How the Big Bird suit worked

How ice cream cones are made

How a beanstalk grows

How Wi-Fi is distributed inside an apartment

What actually happens when you put on sunscreen

How camouflage gets on a helmet

Why Michael Jackson was able to defy gravity

What dogs do when they drink water

How coins get sorted inside a machine

The way braces change your teeth

How a trumpet makes that beautiful music

The way pretzels are tied en masse

How peanut butter jars are filled full of creamy, slightly sexual goodness

What actually happens when you put a key in a door

How exactly all that stuff gets into a Pop-Tart

What it looks like when you swallow

How hay bales get wrapped

How light affects water

How paper clips turn into paper clips

How a traffic jam occurs despite no accidents or bad weather

The life of a dandelion

How flight patterns change throughout the day

And how terrifying the human face is when it’s forming in the womb

How the Big Bird suit worked

How ice cream cones are made

How a beanstalk grows

How Wi-Fi is distributed inside an apartment

What actually happens when you put on sunscreen

How camouflage gets on a helmet

Why Michael Jackson was able to defy gravity

What dogs do when they drink water

How coins get sorted inside a machine

The way braces change your teeth

How a trumpet makes that beautiful music

The way pretzels are tied en masse

How peanut butter jars are filled full of creamy, slightly sexual goodness

What actually happens when you put a key in a door

How exactly all that stuff gets into a Pop-Tart

What it looks like when you swallow

How hay bales get wrapped

How light affects water

How paper clips turn into paper clips

How a traffic jam occurs despite no accidents or bad weather

The life of a dandelion

How flight patterns change throughout the day

And how terrifying the human face is when it’s forming in the womb

Reposted from verdantforce via odessa2

Reposted from thehedgehogsdilemma via odessa2

Reposted from MikisWitAttitudes via odessa2

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