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Prove that there are infinitely many positive integers which are not representable as a sum of cubes of two other positive integers.
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Prove that the difference $d=a_{2}-a_{1}=a_{3}-a_{2}=\cdots=a_{p}-a_{p-1}$ is divisible by $p$.
1 answer 48 views
Prove that the difference $d=a_{2}-a_{1}=a_{3}-a_{2}=\cdots=a_{p}-a_{p-1}$ is divisible by $p$.Given an increasing sequence of prime numbers $a_{1}, \ldots, a_{p}$ forming an arithmetic progression, let $p$ be a prime number and let $a_{1}>p ...
by MathsGee Platinum
(102,810 points)
asked in Mathematics Aug 9, 2021
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How can I prove that a matrix $S_{ij}$ is positive semi-definite?
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Write the elements of $a_{13}, a_{21}, a_{33}, a_{24}, a_{23}$
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Write the elements of $a_{13}, a_{21}, a_{33}, a_{24}, a_{23}$ In a matrix \begin{equation} \left\begin{array}{cccc} 2 & 5 & 19 & -17 \\ 35 & -2 & \frac{5}{2} & 12 \\ \sqrt{3} &am ...
by MathsGee Platinum
(102,810 points)
asked in Mathematics Jul 24, 2021
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The individual quantities like $a_{11}, a_{22}, a_{13} \ldots . . a_{m n}$ are called the ________________ of the matrix.
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Prove polar decomposition using singular value decomposition.
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Prove polar decomposition using singular value decomposition.Prove  polar decomposition using singular value decomposition. ...
by MathsGee Platinum
(102,810 points)
asked in Mathematics Jul 24, 2021
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Prove that if $\lambda$ is a root of the characteristic polynomial, then there exist at least one eigenvector for $\lambda$.
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Can you give an example to denote the working of the central limit theorem?
1 answer 54 views
Can you give an example to denote the working of the central limit theorem?Can you give an example to denote the working of the central limit theorem? ...
by Pieter SIlver Status
(17,435 points)
asked in Data Science & Statistics Jul 23, 2021
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Find the solution for the following linear equation: $1 /(4 x-2)=5 / 6$
1 answer 27 views
Find the solution for the following linear equation: $1 /(4 x-2)=5 / 6$Find the solution for the following linear equation: $1 /(4 x-2)=5 / 6$ ...
by MathsGee Platinum
(102,810 points)
asked in Mathematics Jul 22, 2021
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Find the solution for the following linear equation: $5 x / 2=(3 x+24) / 6$
1 answer 52 views
Find the solution for the following linear equation: $5 x / 2=(3 x+24) / 6$Find the solution for the following linear equation: $5 x / 2=(3 x+24) / 6$ ...
by MathsGee Platinum
(102,810 points)
asked in Mathematics Jul 22, 2021
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Subtract polynomials $4 x^{3}-2 x^{2}-10$ and $5 x^{3}+x^{2}+x+5$
1 answer 28 views
Subtract polynomials $4 x^{3}-2 x^{2}-10$ and $5 x^{3}+x^{2}+x+5$Subtract polynomials $4 x^{3}-2 x^{2}-10$ and $5 x^{3}+x^{2}+x+5$ ...
by MathsGee Platinum
(102,810 points)
asked in Mathematics Jul 22, 2021
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$12 t-10=14 t+2$. Find $t$
1 answer 19 views
$12 t-10=14 t+2$. Find $t$$12 t-10=14 t+2$. Find $t$ ...
by MathsGee Platinum
(102,810 points)
asked in Mathematics Jul 22, 2021
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What is the unit circle?
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What is the unit circle?What is the unit circle? ...
by MathsGee Platinum
(102,810 points)
asked in Mathematics Jun 27, 2021
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In the unit circle shown below, what is the measure of the angle, in radians?
0 answers 99 views
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In the unit circle shown below, what is the measure of the angle, in radians? In the unit circle shown below, what is the measure of the angle, in radians? ...
by MathsGee Platinum
(102,810 points)
asked in Mathematics Jun 27, 2021
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The product of two positive numbers is 391 and their difference is 6 . What is their sum?
0 answers 67 views
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Using a right-angled triangle how can we derive the trigonometric identity $1+\cot ^{2} \theta=\csc ^{2} \theta$
1 answer 85 views
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Solve the following equation for $r:-2 r-2.25=3.75-8 r$
1 answer 41 views
Solve the following equation for $r:-2 r-2.25=3.75-8 r$Solve the following equation for $r:-2 r-2.25=3.75-8 r$ ...
by Maths Genie Bronze Status
(5,290 points)
asked in Mathematics Jun 17, 2021
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Deduce that the choice $a_{2}=1-a_{1}$ gives $E[T]=\mu$ In this case prove that the variance of $T$ is a minimum if $a_{1}=a_{2}=\frac{1}{2}$.
1 answer 56 views
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Which of the following statements about the series $$ \sum_{n=1}^{\infty} \frac{(-1)^{n}}{1+\sqrt{n}} $$ is true?
0 answers 68 views
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The measure of the angle $\angle C B D$ is:
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The measure of the angle $\angle C B D$ is:In the triangle $\triangle A B C$ measures of angles $\angle A=46^{\circ}$ and $\angle C=60^{\circ}$ are given. The angle bisector intersects the circ ...
by MathsGee Platinum
(102,810 points)
asked in Mathematics Jun 16, 2021
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