Math trick & blackhole (klp 9)
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This document provides steps for solving cube root problems: 1) Choose a number that when cubed is close to the given number; 2) Look up the cube root of the ones place digit in a table; 3) Add the cube root to the first number to get the solution. It then works through two examples of finding the cube root of given numbers using these steps. The document also includes an encoded "black hole" message that is decoded by assigning letters numbers.
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ВЕНТИЛЯЦИЯ И ОТКАШЛИВАТЕЛЬ ПРИ ДЫХАТЕЛЬНОЙ НЕДОСТАТОЧНОСТИ: ПЛЮСЫ И МИНУСЫ
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Session on digital transformation , chennai summit Aug 2016
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Lesson 15: Geometry
1) The document contains examples of solving problems involving linear functions, similar triangles, perimeter, area, volume, domains and ranges of functions, and rational functions.
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The document provides an introduction to matrix operations including addition, subtraction, multiplication, and determinants. It defines what a matrix is and how they are represented and sized. It then explains how to perform addition and subtraction of matrices by adding or subtracting the corresponding entries. Matrix multiplication is defined as being possible only when the number of columns of the first matrix equals the rows of the second. Determinants are explained as being unique to square matrices, and formulas are given for finding the determinants of 2x2 and 3x3 matrices. Homework problems are assigned involving computing various matrix operations.
Vedic maths 2
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Museum Paper Rubric50 pointsRubric below is a chart form of .docx
Museum Paper Rubric
50 points
Rubric below is a chart form of the instructions on the Museum Paper assignment sheet.
Category
Description
Points
First Step
10 points
Selfie with image (5)
5
Evocative, detailed description and comparisons (5)
3
Second Step
6 points
3 scholarly sources (6)
6
Third Step
26 points
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7
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8
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3
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2
Chicago style end note citations (3)
3
Total
50 points
Comments
Good research about Shiva and iconography. Your particular thesis - your personal analysis - should be the core of the essay rather than a historical overview, and the research content would revolve around your thesis statement. For example, your descriptions include descriptions of iconography showing his power, so that could be a direction for your thesis statement. Shiva is a Hindu deity, so it is unlikely that this would be "Shiva Buddha" (since Buddha is part of Buddhism). To avoid generalizations such as the third eye and red mark (page 2 middle) , it would be stronger to explain what that third eye meant.
43
MATH 220 - CT Scan Project
(in class)
Directions This project is due Thursday April 26 at the beginning of class. There are two
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works through a sample project while explaining how CT scan images are produced. If there is
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CT Scan Project
The radiation x-ray was discovered by a German physicist, Wilhelm Roentgen, who did not
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bone, a certain amount of intensity units is absorbed, while if it passes through soft material, a
different amount of intensity u ...
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Final project
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published research papers
Published in association with the Utilitas Mathematica Academy. Offers selected original research in Pure and Applied Mathematics and Statistics. It enjoys a good reputation and popularity at the international level in terms of research papers and distribution worldwide.
journal of mathematics research
https://utilitasmathematica.com/index.php/Index
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research paper publication journals
https://utilitasmathematica.com/index.php/Index
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Math Short Tricks ( english)
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Mathematical Statistics Assignment Help
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MATLAB sessions Laboratory 2MAT 275 Laboratory 2Matrix .docx
MATLAB sessions: Laboratory 2
MAT 275 Laboratory 2
Matrix Computations and Programming in MATLAB
In this laboratory session we will learn how to
1. Create and manipulate matrices and vectors.
2. Write simple programs in MATLAB
NOTE: For your lab write-up, follow the instructions of LAB1.
Matrices and Linear Algebra
⋆ Matrices can be constructed in MATLAB in different ways. For example the 3 × 3 matrix
A =
8 1 63 5 7
4 9 2
can be entered as
>> A=[8,1,6;3,5,7;4,9,2]
A =
8 1 6
3 5 7
4 9 2
or
>> A=[8,1,6;
3,5,7;
4,9,2]
A =
8 1 6
3 5 7
4 9 2
or defined as the concatenation of 3 rows
>> row1=[8,1,6]; row2=[3,5,7]; row3=[4,9,2]; A=[row1;row2;row3]
A =
8 1 6
3 5 7
4 9 2
or 3 columns
>> col1=[8;3;4]; col2=[1;5;9]; col3=[6;7;2]; A=[col1,col2,col3]
A =
8 1 6
3 5 7
4 9 2
Note the use of , and ;. Concatenated rows/columns must have the same length. Larger matrices can
be created from smaller ones in the same way:
c⃝2011 Stefania Tracogna, SoMSS, ASU
MATLAB sessions: Laboratory 2
>> C=[A,A] % Same as C=[A A]
C =
8 1 6 8 1 6
3 5 7 3 5 7
4 9 2 4 9 2
The matrix C has dimension 3 × 6 (“3 by 6”). On the other hand smaller matrices (submatrices) can
be extracted from any given matrix:
>> A(2,3) % coefficient of A in 2nd row, 3rd column
ans =
7
>> A(1,:) % 1st row of A
ans =
8 1 6
>> A(:,3) % 3rd column of A
ans =
6
7
2
>> A([1,3],[2,3]) % keep coefficients in rows 1 & 3 and columns 2 & 3
ans =
1 6
9 2
⋆ Some matrices are already predefined in MATLAB:
>> I=eye(3) % the Identity matrix
I =
1 0 0
0 1 0
0 0 1
>> magic(3)
ans =
8 1 6
3 5 7
4 9 2
(what is magic about this matrix?)
⋆ Matrices can be manipulated very easily in MATLAB (unlike Maple). Here are sample commands
to exercise with:
>> A=magic(3);
>> B=A’ % transpose of A, i.e, rows of B are columns of A
B =
8 3 4
1 5 9
6 7 2
>> A+B % sum of A and B
ans =
16 4 10
4 10 16
10 16 4
>> A*B % standard linear algebra matrix multiplication
ans =
101 71 53
c⃝2011 Stefania Tracogna, SoMSS, ASU
MATLAB sessions: Laboratory 2
71 83 71
53 71 101
>> A.*B % coefficient-wise multiplication
ans =
64 3 24
3 25 63
24 63 4
⋆ One MATLAB command is especially relevant when studying the solution of linear systems of dif-
ferentials equations: x=A\b determines the solution x = A−1b of the linear system Ax = b. Here is an
example:
>> A=magic(3);
>> z=[1,2,3]’ % same as z=[1;2;3]
z =
1
2
3
>> b=A*z
b =
28
34
28
>> x = A\b % solve the system Ax = b. Compare with the exact solution, z, defined above.
x =
1
2
3
>> y =inv(A)*b % solve the system using the inverse: less efficient and accurate
ans =
1.0000
2.0000
3.0000
Now let’s check for accuracy by evaluating the difference z − x and z − y. In exact arithmetic they
should both be zero since x, y and z all represent the solution to the system.
>> z - x % error for backslash command
ans =
0
0
0
>> z - y % error for inverse
ans =
1.0e-015 *
-0.4441
0
-0.88 ...
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- Square roots can be estimated and found using repeated subtraction
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Math trick & blackhole (klp 9)
- 2. MATH TRICK
- 3. “X CUBE ROOT” Example: How to solve this problem? 3 140608
- 4. Table the result of cube root
- 5. The Steps 1st step We choose a number to the power of 3 which the result closed to 140608, that is = 125000 2nd step Look at table! Choose a digit ones which the result of the power of 3 is the same as the last digit at the example. It is 8, which the cube root of 8 is 2. 3rd step add 50 with 2 so we have the result is 52 So, = 52 3 50 3 140608
- 6. Solve this problem 3 13824 With the same steps, we can choose a number to the power of 3 which the result close to 13824 , that is = 8000 Then, we look at the table and choose a digit ones which the result of the power of 3 is same as the last digit at 13824 that is 4 The last step is find the result 20 + 4 = 24 So, we can find the result = 24 3 13824 Find the cube root for:
- 7. Black hole
- 8. B L A C K H O L E Let A = 4, B = 5, C = 1 )()( ABxABC 2 )()( ABABC 22 2 AABBCACB 222 )2( AAABBCACB ABBACACB 222 ABABBACACB )2( 22 ABBABACACB 22 CBABBABACACB )( 22 CBABBABACA 22 )()( CABBCABA BA 54
- 9. Where is the black hole? We can get the black hole in the 11th line, exactly in part B- A-C. That from the first, we have C=B-A, if we take in these to B-A-C, so we have C-C=0.