Scaffold, in building construction, temporary platform used to elevate and support workers and materials during the construction, repair, or cleaning of a structure or machine; it consists of one or more planks of convenient size and length, with various methods of support, depending on the form and use.

In timber scaffolding, support for the planks is provided by a timber frame fabricated and erected at the site. The frame may consist of vertical posts, horizontal longitudinal members, called ledgers, transverse members supported by the ledgers, and longitudinal and transverse cross-bracing. The planks rest on the transverse members.

Trestle supports are used for work on a large area if little or no adjustment of height is required (e.g., for plastering the ceiling of a room). The trestles may be of special design or simply wooden sawhorses of the type used by carpenters. Specially designed trestles may be adjusted to provide for working heights of from 7 to 18 feet (2 to 5 m).

Tubular scaffolding of steel or aluminum has largely replaced timber scaffolding on most construction projects. Tubular scaffolding can easily be erected in any shape, length, or height. Sections may be mounted on casters to provide a highly mobile staging. The scaffolding may be enclosed with canvas or plastic sheeting for protection against the weather.

Tubular hoisting towers may be quickly assembled from steel tubes or pipes about 3 inches (8 cm) in diameter with standard connections.

A suspended scaffold consists of two horizontal putlogs, short timbers that support the flooring of the scaffold, each attached to a drum mechanism. Cables extend from each drum to an outrigger beam attached overhead to the structure frame. Ratchet devices on the drums provide for raising or lowering the putlogs between which spanning planks form the working surface. Power scaffolding may be raised or lowered by means of an electric motor operated by the worker on the scaffold.

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This 'new' method involves eliminating a from the expression first, then a calculation involving b squared and c, then square rooting and then adding in -b/2.

So in what sense is this quicker, or different from what we've all been doing all these years? If you learn an algorithm and learn to do it quickly, then that's fine for you. But is this really worth all the hype?

later edit:

quadratic formula when a = 1 :

So this 'new' method is just the old one with a = 1.

Bob

]]>Kevin Buzzard, a mathematician who is very interested in formal methods is also working on a Natural Number Game. I have not played this game myself, though.

As for prerequisites, some experience with coding and logic will help.

]]>(y -1)/2=a

If a is odd, b = (a-1) / 2, if a is even b = (a +y-1) / 2

If b is odd, c = (b-1) / 2, if b is even c = (a +y-1) / 2

If y is divisible by 7, c will be divisible by 7..........

Works for any Mersenne Number....

Works because whatever I do to y to get to zero I have to be able to do to a multiple of y, to get to a remainder zero for y! And 7-1/2=3 3-1/2=1 1-1/2=0.

Example:35= 5*7,

35-1/2=17, 17-1/2=8 (8+35-1)/2=21,

21= 3*7

Example: 27=3*9

27-1/2=13 13-1/2=6

6=3*2

3-1/2=1

1-1/2=0

oeis.org/a000616/list]]>

Consider when n=3, and i=3, yields:

Let

andthen;

let

Then

this equation is solvable.

Now let n=2

Let

andthen

There is no whole number solution according to Euler.

]]>You seem to be approaching the problem with the assumption that such a

must exist. Why should this be true?]]>MathsIsFun wrote:Absolutely ... it is quite intriguing.

100000^0 = 1

10^0 = 1

1^0 = 1

0.00001^0 = 1

So,0^0 = 1BUT

0^10 = 0

0^1 = 0

0^0.00000001 = 0

So,0^0 = 0As it says in the mathforum article, it depends on which direction you come from!

My humorous professor during college would say that statistically, the result is ½ since we add both results then take the average. That's what he said when he was discussing whether 0 divided by 0 equals 0 or 1.

0 or 1 may seem logical, not mathematical, strictly! It is Neither!

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