Recent questions tagged fixed

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Can you explain the concept of a fixed learning rate and how it can affect the performance of an optimization algorithm?

asked Jan 10 in Data Science & Statistics by MathsGee Platinum (98.5k points) | 138 views

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In a trapezoid $A B C D$ sides $A B$ and $C D$ are parallel and $E$ is a fixed point on the side $A B$. Define a point $F$ from a side $C D$ so that the intersection of trianges $A B F$ and $C D E$ is as big as possible.

asked Sep 22, 2022 in Mathematics by MathsGee Platinum (98.5k points) | 133 views

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Companies $A$ and $B$ have been offered the following rates per annum on a $\$ 20$ million 5 -year loan :

asked Aug 18, 2022 in General Knowledge by MathsGee Platinum (98.5k points) | 330 views

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Companies $\mathrm{A}$ and $\mathrm{B}$ have been offered the following rates per annum on a $\$ 10$ million, 7-year loan:

asked Aug 18, 2022 in General Knowledge by MathsGee Platinum (98.5k points) | 136 views

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A bank raises funds at LIBOR in the interbank market and on-lends the funds in fixed interest mortgages. What are the risks involved and how might you hedge the risk ?

asked Aug 18, 2022 in General Knowledge by MathsGee Platinum (98.5k points) | 277 views

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The surface of a two-dimensional ellipsoid can be imbedded in three-dimensional Euclidean space by the equation \[ \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}+\frac{z^{2}}{c^{2}}=1 \]

asked Jul 2, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 112 views

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In the study of the Lagrangian structure of the $A B C$-flow we consider the dynamical system

asked Jul 2, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 141 views

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Study the fixed points of the dynamical system \[ \frac{d u_{1}}{d t}=u_{2}+u_{1}^{2}, \quad \frac{d u_{2}}{d t}=-u_{1}^{3} . \]

asked Jul 2, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 155 views

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Consider the van der Pol oscillator \[ \frac{d u_{1}}{d t}=u_{2}, \quad \frac{d u_{2}}{d t}=r\left(1-u_{1}^{2}\right) u_{2}-u_{1} \] where $r>0$. Study the stability of the fixed point

asked Jul 2, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 115 views

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We consider the Van der Pol oscillator \[ \frac{d u_{1}}{d t}=u_{2}, \quad \frac{d u_{2}}{d t}=a\left(1-u_{1}^{2}\right) u_{2}-u_{1} \] where $a>0$. Study the stability of the fixed points.

asked Jul 2, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 113 views

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Consider the two-dimensional autonomous system in the $(x, y)$ plane described by \[ \frac{d x}{d t}=y^{3}\left(x^{2}-1\right)(2+x y), \quad \frac{d y}{d t}=x^{3}\left(y^{2}-1\right)(2-x y) \]

asked Jul 2, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 126 views

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Consider the system of differential equations \[ \frac{d u_{1}}{d t}=u_{2}, \quad \frac{d u_{2}}{d t}=4 u_{1}-u_{1}^{3} \]

asked Jul 2, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 145 views

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Solve \[ \frac{d^{2} u}{d x^{2}}=u^{2} \] given that $d u / d x=0$ when $u=0$ and $x=0$ when $u=\infty$.

asked Jul 1, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 85 views

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Let $\omega$ be a fixed frequency and $t$ the time. Solve the initial value problem of \[ \frac{d u}{d t}=\omega \sin (\omega t) u \] with $u(t=0) \equiv u(0)>0$. What happens for $t \rightarrow \infty$ ?

asked Jul 1, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 149 views

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Find the fixed points of the differential equation \[ \frac{d u}{d t}=u-u^{2} . \]

asked Jul 1, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 94 views

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What is the importance of fixed capital formation?

asked May 23, 2022 in General Knowledge by AstraNova Diamond (55.6k points) | 237 views

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What is gross fixed capital formation?

asked May 23, 2022 in General Knowledge by AstraNova Diamond (55.6k points) | 227 views

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What is a hyperbola?

asked Feb 4, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 198 views

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What are fixed wing drones?

asked Jan 20, 2022 in General Knowledge by MathsGee Platinum (98.5k points) | 292 views

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Interactive Personality Quiz: Do you have a growth or fixed mindset?

asked Jan 19, 2022 in General Knowledge by MathsGee Platinum (98.5k points) | 398 views

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What is a fixed asset?

asked Jan 3, 2022 in General Knowledge by MathsGee Platinum (98.5k points) | 349 views

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What is the name of the statistical test that can help us determine whether to choose a fixed effects or a random effects model?

asked Aug 16, 2021 in Data Science & Statistics by MathsGee Platinum (98.5k points) | 459 views

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How is the time-invariant independent variables and the unmeasured time-invariant variables captured in a fixed effects model?

asked Aug 16, 2021 in Data Science & Statistics by MathsGee Platinum (98.5k points) | 381 views

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What is the difference between fixed and floating interest rates?

asked Jul 18, 2021 in General Knowledge by AstraNova Diamond (55.6k points) | 313 views

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A museum charges \$5 per person for a guided tour for a group of 1 to 9 people or a fixed \$50 fee for a group of 10 or more people. Write a function relating the number of people, $n$, to the cost. $C$

asked May 24, 2021 in Mathematics by Student Bronze Status (5.7k points) | 2.1k views

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What are fixed and random effects in regression?

asked Nov 27, 2020 in Data Science & Statistics by Andreas | 346 views

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Can linear regression with fixed effects be used as a good estimator of causal effects?

asked Nov 16, 2020 in Data Science & Statistics by MathsGee Platinum (98.5k points) | 387 views

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What are fixed horizon A\B tests?

asked Oct 20, 2020 in Data Science & Statistics by AstraNova Diamond (55.6k points) | 727 views

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Fixed deposits are risky investments and entrepreneurs usually prefer starting a new business as it is less risk.

asked Sep 28, 2020 in General Knowledge by CT Silver Status (24.7k points) | 279 views

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If R40000 is invested in a fixed deposit at 7 % for one year, the investment will be worth R42 800.

asked Sep 28, 2020 in General Knowledge by CT Silver Status (24.7k points) | 399 views

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What is the best model for inferring facts about the future, given a fixed dataset and computational budget?

asked Sep 25, 2020 in Data Science & Statistics by MathsGee Platinum (98.5k points) | 390 views

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Are you aware of any one example of a fixed cost for a business?

asked Sep 24, 2020 in General Knowledge by CT Silver Status (24.7k points) | 320 views

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Someone please help me with defining the concept of "fixed assets / non-current assets".

asked Sep 24, 2020 in General Knowledge by CT Silver Status (24.7k points) | 255 views

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Is fixed income different from variable income in any way?

asked Sep 23, 2020 in General Knowledge by CT Silver Status (24.7k points) | 259 views

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What is the difference between fixed rate and adjustable rate mortgages

asked Sep 13, 2020 in Mathematics by MathsGee Platinum (98.5k points) | 238 views

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How can you best define "fixed variable"?

asked Aug 24, 2020 in General Knowledge by CT Silver Status (24.7k points) | 198 views

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The table shows quotations from three different service providers.

asked Jun 13, 2020 in Mathematics by CT Silver Status (24.7k points) | 279 views

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Andrea Publishers is a book publisher based in Johannesburg. The total cost (in rands) of producing high school maths study guides is given by the function: $C(x) = 89.9x + 120 000$

asked May 12, 2020 in Mathematics by MathsGee Platinum (98.5k points) | 272 views

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What is the primary reason most companies haven’t fixed their vulnerabilities?

asked Sep 3, 2019 in Data Science & Statistics by MathsGee Platinum (98.5k points) | 752 views

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What's the difference between a relative, fixed, absolute and statically positioned element?

asked Aug 30, 2019 in Data Science & Statistics by MathsGee Platinum (98.5k points) | 325 views

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How can I change my attitude towards mathematics?

asked Mar 13, 2019 in Mathematics by MathsGee Platinum (98.5k points) | 357 views

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Does having a growth mindset as opposed to a fixed one help in mathematical achievement?

asked Mar 13, 2019 in Mathematics by MathsGee Platinum (98.5k points) | 315 views

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