Infinite dimensions: superhero's from wall street (volume 1)
What could be more intuitive than the notion of space itself? Space is how we know here from there and all that entails. Which is everything. Imagine some existence without here and there and everything, all of us, shared a singledimensional point, somehow. You, me, President Barack Obama, Taylor Swift—a single point in space.
It’s just as hard to imagine the opposite, a space of more than three dimensions. A fourth dimension for time isn’t so bad, where we might still imagine our threedimensional world, but only with a sort of inner motion or current: moving without moving. Or maybe imagine time like a computer screen, a static reality that is always refreshing as time progresses. The frequency with which it refreshes, that’s time.
There’s an easier way to look at it, courtesy of my old Calculus III professor. We think of space as space, heres and theres, but these three dimensions are really a commingling of three variables, each one describing something different: length, width, height, x, y, z. There could be other spaces too, maybe one of red, green, and blue, or one of temperature, pressure, and humidity, etc.
So: three things connected by some equation of three variables. RGB, redgreenblue, color is properly considered as a space, the RGB color space. There are other color spaces, where we might imagine a color as a point given by three axes, with each one representing one constituent color. Usually, we imagine the color, not the space.
It doesn’t matter what the variables, or axes, of a space are so long as they’re related by some function, an equation relating all those variables. It’s easier to see the possibility of other dimensions then: temperature, pressure, humidity, and then, say, water vapor pressure, mixing ratio, CO2 ppm, x, y, z, a, b, c. This doesn’t make the graphical representation of extra dimensions easier to visualize, but the idea is maybe easier to get a hold of when it’s not literal heres and theres.
(To really push the bizarre intuition of spaces, consider the additional feature that, as we add axes/variables to our function, each new axis has to be at right angles to all of the other axes. So, look at a threedimensional graph and try to figure that out.)
Here is the belief system that we need to take our beautiful planet and it's inhabitants into the new Millennium.
The entirety of this web site, being the foundation of the Church of Infinite Dimensions, is called "The Karimath", just as the Christian foundation is called "The Bible" and the Muslims have "The Koran".
I commend it to you all!
May it last a thousand years!
Warren Mars  2005
Welcome! Next Generation RealTime Collaborative Systems Based on 30 years of technology development and $2B in DoD funded research, Infinite Dimensions …
Such a problem is an infinite dimensional optimization problem, ... Edward J. Anderson and Peter Nash, Linear Programming in Infinite Dimensional Spaces, ...
The official website of the Church of Infinite Dimensions , containing all Church theology, moral positions, ceremonies, devices, procedures, constitution etc. Also ...
21.02.2015 · Is it possible that there are actually an ... can know for certain that an infinite number of dimensions ... spaces with infinite dimensions , ...
17.11.2014 · In the quantum world, things get really, truly wrong. Here we have spaces of infinite dimensions , by necessity. Spaces of possibilities. First, imagine ...
10.04.2017 · With upgraded hardware now in use at its headquarters in Utah, the VOID has produced the ultimate in virtual realism.
What could be more intuitive than the notion of space itself? Space is how we know here from there and all that entails. Which is everything. Imagine some existence without here and there and everything, all of us, shared a singledimensional point, somehow. You, me, President Barack Obama, Taylor Swift—a single point in space.
It’s just as hard to imagine the opposite, a space of more than three dimensions. A fourth dimension for time isn’t so bad, where we might still imagine our threedimensional world, but only with a sort of inner motion or current: moving without moving. Or maybe imagine time like a computer screen, a static reality that is always refreshing as time progresses. The frequency with which it refreshes, that’s time.
There’s an easier way to look at it, courtesy of my old Calculus III professor. We think of space as space, heres and theres, but these three dimensions are really a commingling of three variables, each one describing something different: length, width, height, x, y, z. There could be other spaces too, maybe one of red, green, and blue, or one of temperature, pressure, and humidity, etc.
So: three things connected by some equation of three variables. RGB, redgreenblue, color is properly considered as a space, the RGB color space. There are other color spaces, where we might imagine a color as a point given by three axes, with each one representing one constituent color. Usually, we imagine the color, not the space.
It doesn’t matter what the variables, or axes, of a space are so long as they’re related by some function, an equation relating all those variables. It’s easier to see the possibility of other dimensions then: temperature, pressure, humidity, and then, say, water vapor pressure, mixing ratio, CO2 ppm, x, y, z, a, b, c. This doesn’t make the graphical representation of extra dimensions easier to visualize, but the idea is maybe easier to get a hold of when it’s not literal heres and theres.
(To really push the bizarre intuition of spaces, consider the additional feature that, as we add axes/variables to our function, each new axis has to be at right angles to all of the other axes. So, look at a threedimensional graph and try to figure that out.)
What could be more intuitive than the notion of space itself? Space is how we know here from there and all that entails. Which is everything. Imagine some existence without here and there and everything, all of us, shared a singledimensional point, somehow. You, me, President Barack Obama, Taylor Swift—a single point in space.
It’s just as hard to imagine the opposite, a space of more than three dimensions. A fourth dimension for time isn’t so bad, where we might still imagine our threedimensional world, but only with a sort of inner motion or current: moving without moving. Or maybe imagine time like a computer screen, a static reality that is always refreshing as time progresses. The frequency with which it refreshes, that’s time.
There’s an easier way to look at it, courtesy of my old Calculus III professor. We think of space as space, heres and theres, but these three dimensions are really a commingling of three variables, each one describing something different: length, width, height, x, y, z. There could be other spaces too, maybe one of red, green, and blue, or one of temperature, pressure, and humidity, etc.
So: three things connected by some equation of three variables. RGB, redgreenblue, color is properly considered as a space, the RGB color space. There are other color spaces, where we might imagine a color as a point given by three axes, with each one representing one constituent color. Usually, we imagine the color, not the space.
It doesn’t matter what the variables, or axes, of a space are so long as they’re related by some function, an equation relating all those variables. It’s easier to see the possibility of other dimensions then: temperature, pressure, humidity, and then, say, water vapor pressure, mixing ratio, CO2 ppm, x, y, z, a, b, c. This doesn’t make the graphical representation of extra dimensions easier to visualize, but the idea is maybe easier to get a hold of when it’s not literal heres and theres.
(To really push the bizarre intuition of spaces, consider the additional feature that, as we add axes/variables to our function, each new axis has to be at right angles to all of the other axes. So, look at a threedimensional graph and try to figure that out.)
Here is the belief system that we need to take our beautiful planet and it's inhabitants into the new Millennium.
The entirety of this web site, being the foundation of the Church of Infinite Dimensions, is called "The Karimath", just as the Christian foundation is called "The Bible" and the Muslims have "The Koran".
I commend it to you all!
May it last a thousand years!
Warren Mars  2005
Infinite Dimensions
Life in Infinite Dimensions  Motherboard

What could be more intuitive than the notion of space itself? Space is how we know here from there and all that entails. Which is everything. Imagine some existence without here and there and everything, all of us, shared a singledimensional point,