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What is cutting edge maths? - Mathematics Stack Exchange To come back to your question, the cutting edge is often in the refinement and well considered combination of equations, 'paragraphs' in this metaphor Where the metaphor differs is that the english language allows for endless break down of the rules, such that hundreds of paragraphs can be written quickly, whereas a single mathematical
geometry - Why is the volume of a sphere $\frac{4}{3}\pi r^3 . . . As the plane cutting through the solids moves, these blue squares will form $4$ small pyramids in the corners of the cube with isosceles triangle sides and their apex at the edge of the cube Moving through the whole bicylinder generates a total of $8$ pyramids
geometry - Compass-and-straightedge construction of the square root of . . . For example, suppose you want to find the square root of 5 Construct a right triangle with side lengths 1 and 2 This can be done with straight edge and compass Then the hypotenuse has length $\sqrt{5} $ (times the unit) The procedure can get more complicated
Online tool for making graphs (vertices and edges)? Changing style of nodes and edges (color, shape, thickness of edge, line style, node size) Bending edges; Shortcuts support; Displaying the last action with possibility to undo; Copying, cutting, pasting of nodes and edges; Support for mobile and touch devices; The application is still in a development state – any suggestions and feedback are
geometry - Why is the volume of a cone one third of the volume of a . . . Now let's look at the lower half, you would probably notice that you can cut a part of it to get the exact same shape as the top half Cutting it so you have $2$ of those small pyramids The remaining object will have a volume $\frac {1}{4}$ of the cube, the two small pyramids is $\frac {1}{8}$ of the original Since you have 2 of them
Visually stunning math concepts which are easy to explain If you use a real space instead - the set of x, y such that x * y = 0 mod n, you get a set of hyperboles (linear in dimension) If you take a limit towards infinite squares, then the count of white squares is equal to the length of the edge whenever the length is prime $\endgroup$ –
How can I find the points at which two circles intersect? $\begingroup$ There is only one plane in $\mathbb{R^2}$, and this is $\mathbb{R^2}$ What you do is the change of the coordinate plane or coordinate system $(\vec{a},\vec{b})$ do not define a coordinate plane you additionally need an origin which should be $\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)$, I think