Commander

Hi Yes Harmonic Series is Divergent but Walker’s Series is not divergent. No member of the Series has a value of more than 1/(n+1) and no FACTOR used in the Equation will be less than ‘n’ in value either in Denominator or Numerator. 1 = n/n(n+1) + n/(n+1)()n+2) + n/(n+2)(n+3) + …….. If n = 1 : then 1/1x2 + 1/2x3 + 1/3x4 + ……… As n increases 1= 2/2x3 + 2/3x4 + 2/4x5 + ………. Similarly 1 = 3/3x4 + 3/4x5 + 3/5x6 + ……. 1 = 4/4x5 + 4/5x6 + 4/6x7 + ……….. . . .

1 = 1/(n+1) + n/(n+1)(n+2) + n/(n+2)(n+3) + n/(n+3)(n+4) …. etc till infinity For any n (positive integer) from 1 to infinity This may be called Walker’s Series’ By Wg Cdr Thomas Walker - 22 Aug 2024 FYI plz

Hi I give here the Geometric Model and representation of Walker's Equation and proposal of an Equation od Infinite Series which I call 'Walker's Series' which appears to have escaped many ! Proof of Walker's equation.docx - Google D Dear Moderator, I tried to remove the duplicate images in this post but couldn't succeed Plz remove the repeating pics TY !

The area is around 0.0913 Pi/6 - (Sqrt 3 /4) Using Pi = 22/7 gets this result !

The strip shown has two sides : A straight line of 1 Unit Length and an arc from a Circle having a radius of 1 Unit ! The diagram is shown below. Find the Area of the Strip in Square Units of the same Unit !

A land owner inherits a Circular Piece of land and shares it with his siblings and children ! He lays out four plots of identical shape having 1/11 (one eleventh) of the total land and four other identical plots each having area of 1/4 Square kilometre each. He retains for himself a Square Plot of 1 Square kilometre ! You are required to show the layout of how he did it specifying the dimensions !

Yes TY all for answers ! Pi/6 is the Fraction and 3xSqr Rt 3 times is the Volume of the Bigger Sphere to that of the Smaller one ! Quite Straight forward !

If *C* is a Cube and *S1* is the Sphere Inscribed and *S2* is the Sphere Superscribed then (1) What is the fraction of the volume of *C* is contained in *S1* (2) How many times the volume of *S2* is that of *S1*

E = M C 2 That is : E >>> Energy | Ego | Eminence M >>> Mind | Mobility | Maturity C >>> Creativity | Conscience | Courage

Need to cut like that !

You need to chop of four corners with an equilateral triangle as the base with sides of diagonals Four of them That leaves a tetrahedron in the middle We need to cut it in four equal parts with each equilateral triangular base (four of them) and apex meeting at the center of the cube The four earlier cut pieces (cut for the sake of explanation) are merged with equal area bases of the four pieces of the tetrahedron

Also all the faces of the pieces must be TRIANGLES ! Sorry I forgot to mention this !

Please note it is four pieces and not six ! Error regretted !!

Cut a Cube into six identical pieces each having nine edges !

Correct

Yes Right well done !

Correct ! Well done !!

Not a wordplay The area of the circle

If the area of a square is Pi what is the radius of a circle of the same area ?

DING LIREN the CHESS WORLD CHAMPION !

Dear Sir, I agree that currently all Research are not in this direction and rather in Specializing at How to compete with each other, how to make better weapns to Kill and Destroy etc which are a Waste of Time against the Enemy Environment and extra-terrestrial attacks ! We need to think as a Global Human Community before embarking on my suggested venture ! I also agree with your statement that right now this appears impossible ! Dear Sir, I agree with you 100 %

All the Research and Aim of Human Beings are to evolve into a Long-living and Long-lasting Species all the time looking to migrate to a Safer, more suited and Long-lasting Planet !

A shape like this