Recent questions tagged fields

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What fields do the GESDA experts come from?

asked Feb 22 in SDGs by ♦MathsGee Diamond (88,894 points) | 48 views

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In the figure below, DC is the diameter of a circle with centre O. CE is a tangent to the circle at $C$. The diagonals of cyclic quadrilateral $A B C D$ intersect at $F$.

asked Jan 30 in Mathematics by ♦GaussTheBot Diamond (44,739 points) | 56 views

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What is data science and how is it different from other fields?

asked Dec 21, 2022 in Data Science & Statistics by ♦MathsGee Diamond (88,894 points) | 90 views

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Let $T$ be the convex hull of the two current triangles. What is the volume of $T$ ?

asked Dec 8, 2022 in Mathematics by ♦MathsGee Diamond (88,894 points) | 71 views

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Prove that there are 100000 South Africans that have the same birthday.

asked Nov 27, 2022 in Data Science & Statistics by ♦MathsGee Diamond (88,894 points) | 73 views

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Given three non-collinear points $M, N$, and $P$ such that $M$ and $N$ are the midpoints of two sides of a certain triangle and $P$ is the orthocenter of the triangle. Construct the triangle.

asked Sep 23, 2022 in Mathematics by ♦MathsGee Diamond (88,894 points) | 125 views

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In a triangle $A B C, P$ is the centroid and $M$ and $N$ the midpoints of the sides $A C$ and $A B$ respectively. Prove that if a circle can be inscribed in the quadrilateral $A N P M$, then $\triangle A B C$ is isosceles.

asked Sep 23, 2022 in Mathematics by ♦MathsGee Diamond (88,894 points) | 55 views

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The diagonals $A C$ and $B D$ of a convex cyclic quadrilateral $A B C D$ intersect at point $E$. Given that $A B=39, A E=45, A D=60$ and $B C=56$, determine the length of $C D$.

asked Sep 23, 2022 in Mathematics by ♦MathsGee Diamond (88,894 points) | 88 views

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Let $P, Q, R, S$ be the midpoints of the sides $B C, C D, D A, A B$ of a convex quadrilateral, respectively. Prove that

asked Sep 23, 2022 in Mathematics by ♦MathsGee Diamond (88,894 points) | 64 views

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Suppose that in the exterior of a convex quadrilateral $A B C D$ equilateral triangles $X A B, Y B C, Z C D, W D A$ with centroids $S_1, S_2, S_3, S_4$ respectively are constructed.

asked Sep 23, 2022 in Mathematics by ♦MathsGee Diamond (88,894 points) | 65 views

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A square $A B C D$ is inscribed in a circle. If $M$ is a point on the shorter arc $A B$, prove that $M C \cdot M D>3 \sqrt{3} \cdot M A \cdot M B$

asked Sep 23, 2022 in Mathematics by ♦MathsGee Diamond (88,894 points) | 57 views

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Each of the diagonals $A D, B E$ and $C F$ of a convex hexagon $A B C D E F$ divides its area into two equal parts. Prove that these three diagonals pass through the same point.

asked Sep 22, 2022 in Mathematics by ♦MathsGee Diamond (88,894 points) | 94 views

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Assume there is a point $P$ inside a convex quadrilateral $A B C D$ such that the triangles $A B P, B C P, C D P, D A P$ have the same area. Prove that one of the diagonals of $A B C D$ bisects the other.

asked Sep 22, 2022 in Mathematics by ♦MathsGee Diamond (88,894 points) | 72 views

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A convex quadrilateral $A B C D$ is inscribed in the circle with diameter $A B$. Let $A B$ and $C D$ meet at $I, A D$ and $B C$ at $J$, and $A C$ and $B D$ at $K$, and let $N$ be a point on $A B$.

asked Sep 22, 2022 in Mathematics by ♦MathsGee Diamond (88,894 points) | 78 views

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What are some of the emerging fields of knowledge, technologies and materials that will shape the near future in South Africa?

asked Sep 14, 2022 in General Knowledge by ♦GaussTheBot Diamond (44,739 points) | 194 views

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Is there a Gauss' law for magnetic fields?

asked Aug 15, 2022 in General Knowledge by ♦GaussTheBot Diamond (44,739 points) | 133 views

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What are magnetic fields?

asked Aug 15, 2022 in General Knowledge by ♦GaussTheBot Diamond (44,739 points) | 138 views

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Consider the function: $f(x)=4^{-x}-2$.

asked Aug 8, 2022 in Mathematics by ♦MathsGee Diamond (88,894 points) | 85 views

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Let $\omega=\sigma a_{i}(\mathrm{x}) d x_{i}$ be a 1 -form of class $\mathcal{C}^{\prime \prime}$ in a convex open set $E \subset R^{n}$. Assume $d \omega=0$ and prove that $\omega$ is exact in $E$ by completing the following outline:

asked Jul 5, 2022 in Mathematics by ♦GaussTheBot Diamond (44,739 points) | 140 views

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Consider the nonlinear ordinary differential equation of third order

asked Jul 2, 2022 in Mathematics by ♦GaussTheBot Diamond (44,739 points) | 104 views

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Let $\mathbf{f}$ be a $C^{1}$ vector field on an open set $W \subset \mathbb{R}^{2}$ and $H: W \rightarrow \mathbb{R}$ a $C^{1}$ function such that \[ D H(\mathbf{u}) \mathbf{f}(\mathbf{u})=0 \]

asked Jul 2, 2022 in Mathematics by ♦GaussTheBot Diamond (44,739 points) | 135 views

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Let $\mathbf{f}$ and $\mathbf{g}$ be $C^{1}$ vector fields on $\mathbb{R}^{2}$ such that $\langle\mathbf{f}(u), \mathbf{g}(u)\rangle=$ 0 for all $u$. If $\mathbf{f}$ has a closed orbit, prove that $\mathbf{g}$ has a zero.

asked Jul 2, 2022 in Mathematics by ♦GaussTheBot Diamond (44,739 points) | 126 views

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Solve the second order ordinary differential equation \[ \frac{d^{2} u}{d x^{2}}-\frac{1}{2}\left(\frac{d u}{d x}\right)^{2}+2=0 \]

asked Jul 2, 2022 in Mathematics by ♦GaussTheBot Diamond (44,739 points) | 72 views

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Consider the the second order ordinary differential equation \[ f\left(x, u(x), d u / d x, d^{2} u / d x^{2}\right)=0 \] where $f\left(x, u, u_{x}, u_{x x}\right)$ is an analytic function.

asked Jul 2, 2022 in Mathematics by ♦GaussTheBot Diamond (44,739 points) | 59 views

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Deviation in a magnetic compass is caused by the

asked Jun 19, 2022 in General Knowledge by pilot_H Wooden Status (493 points) | 210 views

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Does MathsGee have a Charges and Fields simulation?

asked May 1, 2022 in General Knowledge by ♦GaussTheBot Diamond (44,739 points) | 171 views

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What fields of study can one pursue with a physical science background?

asked Jan 3, 2022 in General Knowledge by ♦MathsGee Diamond (88,894 points) | 187 views

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What is an electric field at a point?

asked Oct 1, 2021 in General Knowledge by Student Bronze Status (5,662 points) | 254 views

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What are the characteristics of magnetic fields?

asked Aug 30, 2021 in General Knowledge by ♦MathsGee Diamond (88,894 points) | 339 views

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Explain the elements of electric and magnetic fields together with de and ac circuit theory.

asked Aug 30, 2021 in General Knowledge by ♦MathsGee Diamond (88,894 points) | 223 views

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The two electric fields at a point in space are $\vec{E}_{1}=3 \hat{x} \frac{\mathrm{N}}{\mathrm{C}}$ and $\vec{E}_{2}=4 \hat{y} \frac{\mathrm{N}}{\mathrm{C}} \cdot$ What is the net electric field?

asked May 31, 2021 in General Knowledge by ♦GaussTheBot Diamond (44,739 points) | 296 views

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What are some fields where machine learning is already the preferred approach?

asked Mar 25, 2021 in Data Science & Statistics by ♦MathsGee Diamond (88,894 points) | 219 views

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Why is it that positive electric fields of lines are radially outwards?

asked Sep 5, 2020 in General Knowledge by Student Bronze Status (5,662 points) | 248 views

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What are the Properties of Fields?

asked Apr 26, 2020 in Mathematics by ♦MathsGee Diamond (88,894 points) | 154 views

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What do the fields in ls -al output mean?

asked Aug 29, 2019 in Data Science & Statistics by ♦MathsGee Diamond (88,894 points) | 1,652 views

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