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### Grazia Italiano

General Discussions + Introductions -I would like to have different ways of solution .

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3 comments

+Snail Erato , thanks . 💜 I did it with the first method .

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### Francesco Debortoli

Upper Secondary / Pre-Uni Maths -Tricky question.

x is a positive integer.

Solve for this.

Edit. And explain how you did it...

x is a positive integer.

Solve for this.

Edit. And explain how you did it...

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4 comments

Pls explain how will we do it

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### Justin Lee

Middle Secondary Maths -Consider this interesting problem:

There are 27 blocks, with mass 1,4,9,16,...,729. Prove that you can separate them into 3 groups so that the some of masses in each group is the same.

Can you generalize this?

There are 27 blocks, with mass 1,4,9,16,...,729. Prove that you can separate them into 3 groups so that the some of masses in each group is the same.

Can you generalize this?

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2 comments

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### Al Zimmermann

General Discussions + Introductions -I have a web site that may be of interest to those in this forum. It is home to a sequence of computer programming contests, most of which are mathematical in nature.

The current contest is to determine the largest number of points that can be chosen from a cubic array of lattice points so that no 4 points are coplanar. First prize is any sculpture from Bathsheba Sculpture (http://bathsheba.com) worth up to $500. These sculptures, like the contests themselves, appeal to the mathematically inclined.

The competitions can be found at http://azspcs.com.

The current contest is to determine the largest number of points that can be chosen from a cubic array of lattice points so that no 4 points are coplanar. First prize is any sculpture from Bathsheba Sculpture (http://bathsheba.com) worth up to $500. These sculptures, like the contests themselves, appeal to the mathematically inclined.

The competitions can be found at http://azspcs.com.

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1

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### Zeeshan Khan

General Discussions + Introductions -He solved the 300 years old problem and got Able prize

Oxford professor Wiles has been announced as this year’s recipient of the Abel prize, widely regarded as the Nobel for mathematics

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1

4 comments

He says "no solution in positive intezers", means x,y,z to be taken from positive intezers.

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### BINNOY PANICKER

Resources -https://gumroad.com/l/JXwPU

visualizingmathsandphysics.blogspot.in

(1) Why sin(30) = 1/2 ?

(2) i ^ 2 = -1 = rotation by 180°

(3) Transpose [A] = Rotation by 180.

(4) Diagonal of a matrix = Its axis of rotation.

(5) Why A x B = ABsin( )??

(6) Why Log(A x B) = Log(A) + Log(B) ???

(7) What is the purpose of curl and divergence??

(8) Purpose of differential equations.

For (6$)

Link

https://gumroad.com/l/JXwPU

visualizingmathsandphysics.blogspot.in

visualizingmathsandphysics.blogspot.in

(1) Why sin(30) = 1/2 ?

(2) i ^ 2 = -1 = rotation by 180°

(3) Transpose [A] = Rotation by 180.

(4) Diagonal of a matrix = Its axis of rotation.

(5) Why A x B = ABsin( )??

(6) Why Log(A x B) = Log(A) + Log(B) ???

(7) What is the purpose of curl and divergence??

(8) Purpose of differential equations.

For (6$)

Link

https://gumroad.com/l/JXwPU

visualizingmathsandphysics.blogspot.in

4

2

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### Starlet Ventures

Resources -https://gumroad.com/l/JXwPU

visualizingmathsandphysics.blogspot.in

(1) Why sin(30) = 1/2 ?

(2) i ^ 2 = -1 = rotation by 180°

(3) Transpose [A] = Rotation by 180.

(4) Diagonal of a matrix = Its axis of rotation.

(5) Why A x B = ABsin( )??

(6) Why Log(A x B) = Log(A) + Log(B) ???

(7) What is the purpose of curl and divergence??

(8) Purpose of differential equations.

For (5$)

Link

https://gumroad.com/l/JXwPU

visualizingmathsandphysics.blogspot.in

visualizingmathsandphysics.blogspot.in

(1) Why sin(30) = 1/2 ?

(2) i ^ 2 = -1 = rotation by 180°

(3) Transpose [A] = Rotation by 180.

(4) Diagonal of a matrix = Its axis of rotation.

(5) Why A x B = ABsin( )??

(6) Why Log(A x B) = Log(A) + Log(B) ???

(7) What is the purpose of curl and divergence??

(8) Purpose of differential equations.

For (5$)

Link

https://gumroad.com/l/JXwPU

visualizingmathsandphysics.blogspot.in

5

1

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### OM SATYA TRUTH

General Discussions + Introductions -COMPUTER VERIFIED MATHEMATICS | VOEVODSKY

|| ARTICLES | TECH PAPERS | VIDEO | IAS HoTT EBOOK ||

Voevodsky has been advocating the virtues of computer proof assistants and developing univalent foundations in order to bring the languages of Mathematics and Computer Programming closer together .

" The world of Mathematics is becoming very large , the complexity of Mathematics is becoming very high , and there is a danger of an accumulation of mistakes . "

#mathematics #computers #programming #homotopy

#typetheory #proofs #hott #ocaml #haskell #coq #agda

CONTINUE TO READ | VIEW VIDEO ➤➤

|| ARTICLES | TECH PAPERS | VIDEO | IAS HoTT EBOOK ||

Voevodsky has been advocating the virtues of computer proof assistants and developing univalent foundations in order to bring the languages of Mathematics and Computer Programming closer together .

" The world of Mathematics is becoming very large , the complexity of Mathematics is becoming very high , and there is a danger of an accumulation of mistakes . "

#mathematics #computers #programming #homotopy

#typetheory #proofs #hott #ocaml #haskell #coq #agda

CONTINUE TO READ | VIEW VIDEO ➤➤

Voevodsky has been advocating the virtues of computer proof assistants and
developing univalent foundations in order to bring the languages of
Mathematics and Computer Programming together .

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1

www.dinbali.com

pi=3.154700538379

pi=3.154700538379

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### BINNOY PANICKER

Resources -[1] How Sin( ) is a measure of how perpendicular two objects/ forces are.

[2] How cos is a measure of how parallel two forces/ objects are.

[3] i = Rotation by 90 degrees. i^2=Rotation by 180 degrees.

i^3 = Rotation by 270 degrees.

i^4= Rotation by 360 degrees.

[4] Transpose of a Matrix = Rotation by 180 degree.

Transpose of (Transpose of) a matrix = Rotation by 360 degrees.

[5] e^i(angle) = rotation by that angle.

[6] sin(30) = 1/2 because at 30 deg the influence of a force/object reduces to half.

For example the shadow of a stick reduces to 1/2 at 30 deg.

[7] A x B = |A| |B|sin(angle btwn A & B).

total combined impact in cross product depends upon.. . . . .

how strong A is

how strong B is.

How perpendicular A and B are w.r.t each other.

e.g A ball hitting a wall will produce max impact at 90 deg.

Pdf book link

https://gumroad.com/l/visualizingmaths-e-book

Blog link

https://visualizingmathsandphysics.blogspot.in

[2] How cos is a measure of how parallel two forces/ objects are.

[3] i = Rotation by 90 degrees. i^2=Rotation by 180 degrees.

i^3 = Rotation by 270 degrees.

i^4= Rotation by 360 degrees.

[4] Transpose of a Matrix = Rotation by 180 degree.

Transpose of (Transpose of) a matrix = Rotation by 360 degrees.

[5] e^i(angle) = rotation by that angle.

[6] sin(30) = 1/2 because at 30 deg the influence of a force/object reduces to half.

For example the shadow of a stick reduces to 1/2 at 30 deg.

[7] A x B = |A| |B|sin(angle btwn A & B).

total combined impact in cross product depends upon.. . . . .

how strong A is

how strong B is.

How perpendicular A and B are w.r.t each other.

e.g A ball hitting a wall will produce max impact at 90 deg.

Pdf book link

https://gumroad.com/l/visualizingmaths-e-book

Blog link

https://visualizingmathsandphysics.blogspot.in

2

1

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### About this community

This community is specifically about the kind of mathematics needed to succeed in the various mathematics competitions around the world. The types of questions are often very different from standard school maths. This Mathematics Competitions community includes practice questions and learning materials. The overall aim is to improve your mathematical thinking skills.
there is now a <spam trap>. As spammers are too lazy to read, it is normal to have it as the default top category. So please take some care when selecting an appropriate category - it must take all of 3 seconds to do so!
Managed by GiftedMathematics.com

### Grazia Italiano

General Discussions + Introductions -☆☆☆ Spostate e scambiate di posto ai numeri in modo tale che la somma di ogni riga , ogni colonna , ogni diagonale e del quadrato centrale sia sempre la stessa . ☆☆☆

1

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### Eluminada Altamera

Resources -1

The step I followed was to place a number inside each circle so that the sum on every side of the triangle is equal.

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### WASEEM RAJA

Primary Maths -**Introducing a man , Shafali said, 'he is the only son of the mother of my mother'.How is Shafali related to the man?**

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2 comments

nephew or niece since i'm not sure about shafali being a male or a female.

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### Antony chacko

Humour/Art/Culture -A fun post on hilarious Maths Exam scenarios and tips on top postgraduate programmes in Mathematics

1

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### Christop Mayr

Resources -Hi,

I recently programmed an game for all People, who love to solve difficult number Sequences. Maybe you have some suggestions for other difficult sequences.

https://play.google.com/store/apps/details?id=com.chrissi.sequences

I recently programmed an game for all People, who love to solve difficult number Sequences. Maybe you have some suggestions for other difficult sequences.

https://play.google.com/store/apps/details?id=com.chrissi.sequences

1

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