Equation(s) you believe have had much influence. (3 Viewers)

[AnandDNA]

P(event)= 1 - P(event not happening)

 

[Aquawhite]

i know its basic but i like: the whole differentiation of f(x), f'(x) and so on

Hehe, I believe that calculus is just so integral to society (that was the lamest pun I've ever made and I apologise to anyone who suffers from hysteria or lameness XD).

lol.

 

[spammy679]

a(b + c) = ab + ac and vice versa

 

[LordPc]

P(event)= 1 - P(event not happening)

a(b + c) = ab + ac and vice versa

I really like this thread, but i think it has lost a bit of its magic. first we got a formula relating to pokemon and runescape. but distributivity? seriously?

 

[untouchablecuz]

where is the induced emf, is the magnetic flux and is a constant

much influence because: underlying principle of the modern day necessity that is the electric generator

 

[untouchablecuz]

To find out just grab the nearest "General Relativity" book and read it. But you would first have to read up on tensor calculus, geodesics, manifolds, and a little topology just to get a basic understanding of the derivation of this formula.

i can do that but i dont wanna

 

[Uncle]

Cubic formula. If we learn it for the HSC we can find the 3 roots to a cubic equation easily!!
Cbf to post Quartic one coz it's too large and it was the Cubic which found the Quartic anyway.

the same table of integrals is supplied in hsc mathematics and even in university mathematics and if those equations were to be used it would be on a formula sheet.

a(b + c) = ab + ac and vice versa

your best arithmetic capability ?

^________________^

where is the induced emf, is the magnetic flux and is a constant

much influence because: underlying principle of the modern day necessity that is the electric generator

i assume thats faraday's law.

though k is usually denoted n for number of turns.

 

[untouchablecuz]

One of the most pain in the butt things our physics teacher has ever made us derive. Still pretty proud I managed it hence my most influential equation

try deriving it empirically as kepler did

 

[spammy679]

your best arithmetic capability ?

^________________^

you gotta admit;
it is pretty useful

 

[untouchablecuz]

you gotta admit;
it is pretty useful

how? its just a property

 

[jet]

you gotta admit;
it is pretty useful

It's not an equation though; it's a property of the real number field you are working with.

 

[spammy679]

It's not an equation though; it's a property of the real number field you are working with.

true true, i take it back then lol
maybe pythagoras' theorem then

 

[Studentleader]

You seriously were that serious about runescape you made formulae? That is slightly one of the sadest things I have ever heard... the game developers are for this and they are sad excuses for maths and life. XD lol

Mine was a joke.

Way to ruin my childhood

 

[Aerath]

To find out just grab the nearest "General Relativity" book and read it. But you would first have to read up on tensor calculus, geodesics, manifolds, and a little topology just to get a basic understanding of the derivation of this formula.

You're just showing off now.

 

[KFunk]

The Starling Equation:

J = K[(P_c - P_i) - (π_c - π_i)]

J = Fluid movement (mL/min)
K = hydraulic conductance (mL/min . mm Hg)
P_c = capillary hydrostatic pressure (all pressure in mm Hg)
P_i = interstitial hydrostatic pressure
π_c = capillary oncotic pressure
π_i = interstitual oncotic pressure

This equation is pretty straight forward but it is useful for thinking about the movement of fluid between the blood stream (at the level of capillaries) and tissues. The specific values generally aren't of specific interest, but the form of the equation gives you a feel for the effects of various changes. It is conceptually useful but somewhat irrelevant numerically.

For example, increased protein concentration in the blood will increase the movement of fluid into the blood stream (by increasing capillary oncotic pressure) which is why in emergencies one might give a colloid (i.e. a protein rich fluid) to someone with dangerously low blood pressure. Similarly, if one has low blood protein concentration (say, due to liver failure) one might expect fluid build up in the tissues, i.e. oedema. Decreased lymphatic drainage of protein from a region (say, due to obstruction by a tumour or a specific infection) might likewise cause localised oedma. And so on...

 

[Lukybear]

The Starling Equation:

J = K[(P_c - P_i) - (π_c - π_i)]

J = Fluid movement (mL/min)
K = hydraulic conductance (mL/min . mm Hg)
P_c = capillary hydrostatic pressure (all pressure in mm Hg)
P_i = interstitial hydrostatic pressure
π_c = capillary oncotic pressure
π_i = interstitual oncotic pressure

This equation is pretty straight forward but it is useful for thinking about the movement of fluid between the blood stream (at the level of capillaries) and tissues. The specific values generally aren't of specific interest, but the form of the equation gives you a feel for the effects of various changes. It is conceptually useful but somewhat irrelevant numerically.

For example, increased protein concentration in the blood will increase the movement of fluid into the blood stream (by increasing capillary oncotic pressure) which is why in emergencies one might give a colloid (i.e. a protein rich fluid) to someone with dangerously low blood pressure. Similarly, if one has low blood protein concentration (say, due to liver failure) one might expect fluid build up in the tissues, i.e. oedema. Decreased lymphatic drainage of protein from a region (say, due to obstruction by a tumour or a specific infection) might likewise cause localised oedma. And so on...

Wow.. the brilliant!

 

[Lukybear]

What about Eluer's Formula.

 

[Uncle]

What about Eluer's Formula.

When a physical quantity is defined by a complex number it does NOT mean it does not exist.
The electrical current in your typical household appliance is complex valued but you will receive a REAL electric shock regardless of the phase angle with respect to the electrical appliance it is connected to.

Why do we use Euler's formula?
You know you can plot complex numbers on an Argand diagram using x = rcosθ and y = rsinθ where z = x + yi.
But then using , we can transform that to exponentials.
You do know that exponentials are so easy to differentiate because the derivative of e^x is simply itself and e^ax differentiates to ae^ax.
Rather than mess around with trigonometry we can just use exponentials.
Canceling a differentiated or integrated exponential with another exponential often leaves constants behind, which gives us simple expressions for things like an electronic component's load.

Electrical engineers work with complex numbers for breakfast.

 

[kaz1]

When a physical quantity is defined by a complex number it does NOT mean it does not exist.
The electrical current in your typical household appliance is complex valued but you will receive a REAL electric shock regardless of the phase angle with respect to the electrical appliance it is connected to.

Why do we use Euler's formula?
You know you can plot complex numbers on an Argand diagram using x = rcosθ and y = rsinθ where z = x + yi.
But then using , we can transform that to exponentials.
You do know that exponentials are so easy to differentiate because the derivative of e^x is simply itself and e^ax differentiates to ae^ax.
Rather than mess around with trigonometry we can just use exponentials.
Canceling a differentiated or integrated exponential with another exponential often leaves constants behind, which gives us simple expressions for things like an electronic component's load.

Electrical engineers work with complex numbers for breakfast.

Can you integrate/differentiate with complex number?

 

[Trebla]

Yes, physicists do this all the time...lol