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http://en.wikipedia.org/wiki/Particle_size | # Particle size
Particle size is a notion introduced for comparing dimensions of solid particles (flecks), liquid particles (droplets), or gaseous particles (bubbles).
The notion of particle size applies to
The particle size of a spherical object can be unambiguously and quantitatively defined by its diameter.
Howe... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 11, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://spmchemistry.blog.onlinetuition.com.my/2012/07/conversion-of-the-unit-of-concentration.html | # Conversion of the Unit of Concentration
## Conversion of the Unit of Concentration
1. The chart above shows how to convert the units of concentration from g dm-3 to mol dm-3 and vice versa.
2. The molar mass of the solute is equal to the relative molecular mass of the solute.
Example 1:
The concentration of a Pota... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/dervative-of-volume-of-sphere.649429/ | # Dervative of volume of sphere?
1. Nov 4, 2012
### Psyguy22
If you take the derivative of the area of a circle, you get the formula for circumference. When you take the derivative of the volume of the sphere, you do not get the formula for the area of a circle. Why not?
d/dr (4/3pi r^3) =4pi r^2
d/dr (pi r^2)= 2pi ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://perminc.com/resources/publications/role-of-medium-heterogeneity-and-viscosity-contrast-in-miscible-flow-regimes-and-mixing-zone-growth-a-computational-pore-scale-approach/ | ## Role of Medium Heterogeneity and Viscosity Contrast in Miscible Flow Regimes and Mixing Zone Growth: A Computational Pore-Scale Approach
Afshari, S., Kantzas, A., Hejazi, H.
DOI: 10.1103/PhysRevFluids.3.054501
Physical Review Fluids, 3(5), May 2018.
## ABSTRACT
Miscible displacement of fluids in porous media is ... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.hackmath.net/en/math-problem/935 | # Fraction
Fraction
$\dfrac{0,\overline{ 40 }}{0,40 }$
write as fraction a/b, a, b is integers numerator/denominator.
Result
a = 100
b = 99
#### Solution:
$x = \dfrac{0,\overline{ 40 }}{0,40 } = \dfrac{1 }{0,40} \dfrac{ a_1}{1-q} = \dfrac{1 }{0,40} \dfrac{0,40}{1-\dfrac{1}{100}} \ \\ x = \dfrac{1}{1-\dfrac{1}{10... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 3, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://diposit.ub.edu/dspace/handle/2445/33855 | Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/33855
Title: Sherali-Adams Relaxations and Indistinguishability in Counting Logics Author: Atserias, AlbertManeva, Elitza Keywords: Lògica de primer ordreProgramació linealTeoria de grafsFirst-order logicLinear programmingGraph theory ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-algebra/342-need-help.html | # Math Help - need help
1. ## need help
Is there a difference between solving a system of equations by the algebraic method and the graphical method? Why?
2. ## Differences between the two methods
Yes and no. It's more a matter of precision than substantially different answers.
If you solve graphically, then you c... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://astronomy.stackexchange.com/questions/19150/is-the-winds-intensity-on-mars-similar-to-earth/40155 | # Is the wind's intensity on Mars similar to Earth?
I've read that in Mars' poles, the winds can be as fast as 400 km/h, when the poles are exposed to sunlight because the frozen $CO_2$ sublimes. I know that the Martian atmosphere is much thinner than Earth's atmosphere.
So, by knowing the wind speeds on Mars, is the... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/trying-to-understand-absolute-uncertainties-in-geometric-shapes.188297/ | Trying to understand absolute uncertainties in geometric shapes
1. Oct 1, 2007
memsces
I've been studying absolute uncertainties and do not understand any of it. If someone can explain it will really help. Especially with uncertainties including diameters and area.
2. Oct 5, 2007 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/273164/whats-the-automorphism-group-of-this-covering | What's the automorphism group of this covering?
What's the automorphism group of this covering?
I know why this is a covering, but I don't know how to find the automorphism group of this covering.
I need help, thanks
-
Two automorphisms of a path-connected covering coincide iff they coincide at one point. 6 points ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/186780/show-different-limits-under-different-mode-of-convergence-equals-almost-everywhe | Show different limits under different mode of convergence equals almost everywhere
Suppose that a sequence of bounded and continuous functions $f_n$ converges uniformly to $f_1$ and $f_n$ converges to $f_2$ in $L^2$ sense, then how to show $f_1= f_2$ a.e.?
I tried the following: let $A_\epsilon = \{x:|f_1(x)-f_2(x)|>... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://psjd.icm.edu.pl/psjd/element/bwmeta1.element.bwnjournal-article-appv81z302kz | PL EN
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## Acta Physica Polonica A
1992 | 81 | 3 | 353-360
Article title
### Regular and Chaotic Behaviour of a Kicked Damped Spin
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The dynamics of a kicked, anisotropic, d... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://twittercensus.se/british-national-xccek/hydrogen-energy-levels-diagram-bf6149 | Energy Level Diagram for Hydrogen Atom: Energy level diagrams indicate us the different series of lines observed in a spectrum of the hydrogen atom. The formula defining the energy levels of a Hydrogen atom are given by the equation: E = -E0/n2, where E0 = 13.6 eV (1 eV = 1.602×10-19 Joules) and n = 1,2,3… and so on. T... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.pearltrees.com/gnatalia/physics/id13263770 | # Physics
Frontier of Physics: Interactive Map. “Ever since the dawn of civilization,” Stephen Hawking wrote in his international bestseller A Brief History of Time, “people have not been content to see events as unconnected and inexplicable.
They have craved an understanding of the underlying order in the world.” In... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://groupprops.subwiki.org/wiki/Linear_representation_theory_of_dihedral_groups | # Linear representation theory of dihedral groups
This article gives specific information, namely, linear representation theory, about a family of groups, namely: dihedral group.
View linear representation theory of group families | View other specific information about dihedral group
Note first that all dihedral gro... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 249, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://byjus.com/physics/electric-field-lines/ | # Electric Field Lines
## What is Electric Field Line?
Electric field lines are an excellent way of visualizing electric fields. They were first introduced by Michael Faraday himself.
A field line is drawn tangential to the net at a point. Thus at any point, the tangent to the electric field line matches the directi... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://en.wikipedia.org/wiki/Subordinator_(mathematics) | # Subordinator (mathematics)
In the mathematics of probability, a subordinator is a concept related to stochastic processes. A subordinator is itself a stochastic process of the evolution of time within another stochastic process, the subordinated stochastic process. In other words, a subordinator will determine the r... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 4, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/help-with-kinematics.185304/ | # Help with kinematics
1. Sep 17, 2007
### devilsangels287
1. The problem statement, all variables and given/known data
A sailboard is sailing at 6.5 when a gust of wind hits, causing it to accelerate at 0.48 at a 35 angle to its original direction of motion.
If the acceleration lasts 6.3 , what is the board's net... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.jobilize.com/course/section/simple-random-samples-and-statistics-by-openstax?qcr=www.quizover.com | # 13.2 Simple random samples and statistics
Page 1 / 3
The (simple) random sample, is basic to much of classical statistics. Once formulated, we may apply probability theory to exhibit several basic ideas of statistical analysis. A population may be most any collection of individuals or entities. Associated with each... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 2, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/rc-circuit-maximum-voltage.230160/ | # RC circuit maximum voltage
• Start date
• #1
82
0
i cant figure this out. In an RC circuit, why is the maximum voltage of a capactior greater then the maximum voltage of a resistor? can anyone guide me in the right direction
Related Classical Physics News on Phys.org
• #2
454
0
It depends on the circuit. Circuits a... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/trigonometry/38135-solving-x-given-interval-need-help.html | # Thread: Solving for x in the given interval NEED HELP !!!
1. ## Solving for x in the given interval NEED HELP !!!
im stuck on three questions and i really need to solve them
a) sec2x + 1/cosx = 0 x is between and equal to 0 and pie
b)cos^2x+2sinxcosx-sin^2x=0 x is between and equal to 0 and two pie
c)2tanx = secx x... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://byorgey.wordpress.com/2010/01/26/the-random-graph/ | ## The random graph
Today in my finite model theory class we learned about the Rado graph, which is a graph (unique up to isomorphism among countable graphs) with the extension property: given any two disjoint finite sets of vertices $U$ and $V$, there exists some other vertex $w$ which is adjacent to every vertex in ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 9, "mimetex.cgi": 0, "/images/mat... |
https://electronics.stackexchange.com/questions/396341/how-to-derive-voltage-applied-to-an-antenna-where-transmitter-power-is-known/396342 | # How to derive voltage applied to an antenna, where transmitter power is known & identical tx/rx antennas are used with known gain/impedance?
Question:
Imagine a transmitter + transmitter antenna with the following characteristics:
• 433Mhz transmitter transmitting 10dBm
• Into an impedance matched (50 ohms) antenn... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/math-challenge-problems/6470-question-2-a.html | # Math Help - Question 2
1. ## Question 2
A triangular number is the sequence:
1,3,6,10,15,21,...
A square number is the sequence:
1,4,9,16,25,...
Show that there are these two sequences contain infinitely many same numbers, i.e. 1 and 1.
2. Originally Posted by ThePerfectHacker
A triangular number is the sequence... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 16, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://gams.cam.nist.gov/13.9 | # §13.9 Zeros
## §13.9(i) Zeros of $M\left(a,b,z\right)$
If $a$ and $b-a\neq 0,-1,-2,\dots$, then $M\left(a,b,z\right)$ has infinitely many $z$-zeros in $\mathbb{C}$. When $a,b\in\mathbb{R}$ the number of real zeros is finite. Let $p(a,b)$ be the number of positive zeros. Then
13.9.1 $\displaystyle p(a,b)$ $\displa... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 177, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://www.sciencebits.com/taxonomy/term/11?page=2 | ## On Climate Sensitivity and why it is probably small
### What is climate sensitivity?
The equilibrium climate sensitivity refers to the equilibrium change in average global surface air temperature following a unit change in the radiative forcing. This sensitivity (often denoted as λ) therefore has units of °C/(W/m2... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://collaborate.princeton.edu/en/publications/topology-bounded-superfluid-weight-in-twisted-bilayer-graphene | # Topology-Bounded Superfluid Weight in Twisted Bilayer Graphene
Fang Xie, Zhida Song, Biao Lian, B. Andrei Bernevig
Research output: Contribution to journalArticlepeer-review
23 Scopus citations
## Abstract
While regular flat bands are good for enhancing the density of states and hence the gap, they are detriment... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.hepdata.net/search/?q=cmenergies%3A%7B1.3+TO+1.4%7D&author=Aubert%2C+Bernard | Showing 5 of 5 results
#### rivet Analysis The e+ e- ---> 2(pi+ pi-) pi0, 2(pi+ pi-) eta, K+ K- pi+ pi- pi0 and K+ K- pi+ pi- eta Cross Sections Measured with Initial-State Radiation
The collaboration Aubert, Bernard ; Bona, M. ; Boutigny, D. ; et al.
Phys.Rev. D76 (2007) 092005, 2007.
Inspire Record 758568
0 data ta... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://astarmathsandphysics.com/university-maths-notes/elementary-calculus/1788-maxima-minima-and-saddle-points-the-second-partials-test.html | ## Maxima, Minima and Saddle Points – The Second Partials Test
Suppose thathas continuous second partial derivatives in a neighbourhood of and thatat
DefineatForm the discriminantIfthenis a saddle point.
Ifthenhas a local minimum at
Ifand a local maximum atif | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://eprints.soton.ac.uk/417377/ | The University of Southampton
University of Southampton Institutional Repository
# On the joint and marginal densities of instrumental variable estimators in a general structural equation
Hillier, Grant H. (1985) On the joint and marginal densities of instrumental variable estimators in a general structural equation.... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://physics.stackexchange.com/questions/256538/the-convective-term-in-reynolds-transport-theorem | # The convective term in Reynolds Transport theorem
Reynolds Transport theorem states that $$\frac{D B_{sys}}{Dt}=\frac{\partial B_{CV}}{\partial t}-\dot{B_{in}}+\dot{B_{out}}$$ where $B_{in,t+\Delta t}=b_1m_{1,t+\Delta t}=b_1\rho_{1}\forall_{in,t+\Delta t}=b_1\rho_1V_1\Delta tA_1$, then
$$\dot{B_{in}}=\lim_{\Delta t... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://optimization-online.org/author/jfp/ | ## An easily computable upper bound on the Hoffman constant for homogeneous inequality systems
Let $A\in \mathbb{R}^{m\times n}\setminus \{0\}$ and $P:=\{x:Ax\le 0\}$. This paper provides a procedure to compute an upper bound on the following {\em homogeneous Hoffman constant} $H_0(A) := \sup_{u\in \mathbb{R}^n \setmi... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/265451/the-cardinality-of-mathbbr-mathbb-q/265509 | # The cardinality of $\mathbb{R}/\mathbb Q$
How to prove the cardinality of $\mathbb{R}/ \mathbb Q$ is equal to the cardinality of $\mathbb{R}$
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Sorry, I wrote it wrong, I meant to be the cardinality of $\mathbb{R}$ mod $\mathbb{Q}$ – Alex Dec 26 '12 at 17:52
You mean the quotient group $\mathbb R / \mathbb Q$ ?? – ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/101636/jacobis-criterion-for-projective-schemes | # Jacobi's criterion for projective schemes?
When can we apply the Jacobi's criterion for the projective variety $V(f_{1}, \ldots, f_{r}) \subset \mathbb{P}^{n}$ in order to find the singularities of the scheme $\mathrm{Proj} \left( k[x_{1}, \ldots, x_{n+1}] / (f_{1}, \ldots, f_{r}) \right)$?
In Hartshorne's book Alg... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:0818.35136 | ×
# zbMATH — the first resource for mathematics
Another step toward the solution of the Pompeiu problem in the plane. (English) Zbl 0818.35136
Let $$\Omega \subset \mathbb{R}^ 2$$ be a bounded open set for which $$f \equiv 0$$ is the only continuous function on $$\mathbb{R}^ 2$$ such that (1) $$\int_{\sigma (\Omega)}... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/two-rotational-motion-questions.191775/ | # Two Rotational Motion Questions
1. Oct 16, 2007
### ccsmarty
The first one:
1. The problem statement, all variables and given/known data
1) A compact disc (CD) stores music in a coded pattern of tiny pits 10^-7 m deep. The pits are arranged in a track that spirals outward toward the rim of the disc; the inner and... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/71763/why-doesnt-mass-of-bob-affect-time-period | # Why doesn't mass of bob affect time period?
The gravitation formula says $$F = \frac{G m_1 m_2}{r^2} \, ,$$ so if the mass of a bob increases then the torque on it should also increase because the force increased. So, it should go faster and thus the oscillation period should be decrease.
My physics book says that ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.maplesoft.com/support/help/MapleSim/view.aspx?path=componentLibrary/signalBlocks/signalConverters/UnitConversionBlock | Conversion Block
Converts a signal from one unit to another
Description The Conversion Block component converts a signal from one unit to another. This component is a fixed causality component that you can use to perform unit conversions for dimensions such as time, temperature, speed, pressure, mass, and volume.
C... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 5, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/problems/a-number-theory-problem-by-swadesh-rath/ | # A number theory problem by Swadesh Rath
Number Theory Level pending
xy - 6(x+y) = 0 find number of ordered solutions for all integral values of x,y such that x<y or x = y
× | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
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