What is Increasing: Definition and 468 Discussions

In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory.

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  1. S

    I What is Earth's future warming due to the Sun's increasing luminosity?

    Obviously, at some point, the Sun will be a red giant, and it's going to be very, very hot on Earth. I'd like to know what the expected rise in temperature would be due solely to the Sun, while holding the composition of the Earth's atmosphere constant - or at least constant except for the gas...
  2. W

    Gas Law - increasing temperature with constant volume held

    I've set up a simple experiment to look at the ideal gas laws. My experiment is relatively simple in that I have a metal tube which is capped on one side. I am then pressurising the tube with air to 100 psi and locking it off. My thought is that as the pressure increased, with volume held...
  3. F

    Medical Why some ways of increasing pulse increase BP and other ways decrease BP?

    I have high blood pressure. My physician told me that any exercise that increases my heart rate will decrease my blood pressure. When I get angry, my heart rate increases. If increasing one's heart rate by exercise will decrease my blood pressure, it seems logical for me to think that when...
  4. B

    Increase Photocell Illumination: Effect on Current

    as intensity is power per unit area and as power is proportional to energy, then increasing intensity increases energy of the photons?no? So if energy increases so will the speed of the electrons more energy to the kinetic energy after work function? the answer is current
  5. Ranku

    I Dark energy density increasing

    Recent observations report w < -1.3 for z > 1.5. What was the dark energy density compared to matter density during that time? Was the universe briefly accelerating?
  6. G

    Safety and the increasing automation of cars

    The recent 737 tragedies have shown us, I think, a few pointers about automation of planes. Of course, investigation is ongoing but my understanding is that the input from a faulty angle-of-attack sensor and an automated system which the pilots couldn’t switch off contributed. Two worries here...
  7. D

    Increasing Torque with Gerotor Design: Lengthening, Diameter, and Series

    How do you increase torque in gerotor design other than increasing flow. Will lengthening it increase torque? Will increasing diameter increase torque? What about running 2 or 3 in series?
  8. A

    Can you change the state of matter by increasing the speed?

    We all know that the state of matter can be changed by increasing temperature or by applying pressure. And, all of these, in some way lead to a change in the particles' speed. The speed of the particle decides the state of matter. So, if we were to throw an object at very high speeds, like 50%...
  9. DariusP

    Why laser output power decreases with increasing temperature

    Why laser output power decreases with increasing temperature? By increasing temperature, I mean increasing temperature of the active medium. I think that thermal lensing alone should not have effect on output power? Just different focusing (focal length). What happens with energy levels in...
  10. mktsgm

    Medical C-sections increasing, risks involved

    There is a slow but steady progress in creating incidences of c-section deliveries globally across the world. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4743929/ What is the cause of it? Is this alarming and should it be earnestly reversed? Why childbirth is considered to be terribly...
  11. F

    Distance traveled with linearly increasing kinetic energy

    Homework Statement An object of mass 50 kg gains 20,000,000 joules every second. Devise formulae to find the distance covered at any given point in time, and the time necessary to cover a certain distance. Homework EquationsThe Attempt at a Solution E = 20,000,000 * t V = (E * 2/50)1/2 That's...
  12. José Ricardo

    Engineering Biomedical Engineering: Biohacking

    If I followed this area, I would deal with biohacking? Every biomedical engineer knows how to move with biohacking? And Biohacking is the sub-area that is increasing mostly in the healthcare system? Biomedical engineering → https://collegegrad.com/careers/biomedical-engineers
  13. Mr Davis 97

    F is strictly increasing at each point in (a,b)

    Homework Statement Let ##(a,b)\subset \mathbb{R}## be a bounded open interval. Prove that if ##f:(a,b)\to\ \mathbb{R}## is strictly increasing at each point in ##(a,b)##, then ##f## is strictly increasing on ##(a,b)##. Homework Equations Let ##(a,b)\subset \mathbb{R}## be a bounded open...
  14. S

    I Gamma absorption at increasing energy levels

    Which are main absorption modes of matter for gamma rays under about 500 MeV? And how strong is the absorption? For low energies (under 20 MeV) the mechanisms are: 1) Photoelectric absorption - all energies from eV range onwards 2) Compton scattering - all energies enough to displace the...
  15. V

    Increasing Diesel Engine Efficiency with Retractable Plates

    In case of diesel cycle thermal efficiency is low, because heat addition takes place at constant pressure.so can we introduce some retractable plate which sits below the piston during end of compression stroke,and retracts back after heat addition,thus providing constant volume heat addition and...
  16. prakhargupta3301

    What will be the order of increasing radius?

    My answer is A. Because effective nuclear charge would increase in order Ar<K+<Ca2+ and radius would be inverse of that. However, the answer isn't that. Can you just point me? Also, can you tell me in this question, do we think of the noble gas and the Ca and K ions as single atomic species or...
  17. H

    Total energy (ETOTAL) is not zero and increasing (Abaqus)?

    Hi all, I have performed a small static analysis with one element (C3D8). The bottom face of element is completely constrained, and the top part is displaced. In the geometrical linear analysis, the internal energy (ALLIE) and the work done (ALLWK) are equal. So, with ETOTAL = ALLIE - ALLWK...
  18. A

    Increasing the speed of a circular orbit

    What If the velocity of particle moving in a circular orbit has increased , would the particle be no longer in circular orbit or it would go in an orbit with bigger radius?
  19. D

    I What Is the Term for Increasing Angle Sides?

    This is my first post on this forum so sry if this is in the wrong place, but also it’s a weird question so I don’t know where it falls exactly. Anyways my question is: when you have an angle, the further the distance is from the point where the angle forms, the distance between the two inner...
  20. X

    Laser pumping: further increasing injection above threshold?

    Above the threshold, the stimulation emission becomes dominant for lasing. If increasing the pumping, what will be the change of spontaneous emission and its contribution to the output power and FWHM of the signal, based on the threshold carrier density clamping and the threshold gain clamping...
  21. E

    What happens to the capacitance after increasing distance?

    Homework Statement A battery is used to charge a parallel-plate capacitor, after which it is disconnected. Then the plates are pulled apart to twice their original separation. This process will double the: A. capacitance B. surface charge density on each plate C. stored energy D. electric...
  22. Arman777

    Increasing the number of Questions on the exams and the effects of it

    One of our classes in the Uni, we have only 3 questions in the exam and we have a curve-grade system. I wonder increasing the question number would have any affects on the curve or etc. Is there any study on this topic ?
  23. O

    Increasing enthelpy of a liquid

    Hi, I am not sure if this is the correct place to ask this question. When a fluid's pressure gets increased using a pump, does its enthalpy increase too? Thank you in advance.
  24. Physics345

    Increasing Yield of a System with Le Chatelier's Principle

    Homework Statement I am given 2NH3(g) + 2.5O2(g) ⇌ 2NO(g) + 3H2O(g)+heat. By using Le Chatelier's principle, describe and explain four ways in which an industrial chemist could increase the yield of nitrous oxide. Homework EquationsThe Attempt at a Solution For 2NH3(g) + 2.5O2(g) ⇌ 2NO(g)...
  25. K

    Is The Velocity Of This Object Increasing Or Decreasing?

    Homework Statement Hi everyone, 8th grade physics teacher here. We are doing a handout where we have to identify time-velocity graphs with descriptions. Can you help me with this one? https://imgur.com/a/vEIkg A) The velocity is increasing at a uniform rate. B) The velocity is decreasing at...
  26. Y

    Increasing The Capacitance In A Voltage Booster

    Good day, everyone. Let's picture a classic diagram of a voltage booster which is connected to a capacitor. If we double the capacitance, by replacing it using another capacitor with the same voltage rating as the previous one, will the circuit still be able to charge the new capacitor up to the...
  27. C

    MHB Show the following sequence as a monotone increasing

    Dear Everyone, Here is the sequence: Let $S\subset\Bbb{R}$ and ${x}_{n}\in S$ and $S\ne\emptyset$ . ${x}_{n-1}<{x}_{n}\le\sup S$ for all $n\ge2$. Prove the sequence is monotone increasing. I need help proving it; I do not know where to start? Thanks Carter
  28. Z

    Earth's gravity increasing over time?

    If the Earth gains 250 tons of weight everyday, over the course of hundreds of years wouldn't this alter the weight of a gram?
  29. Pereskia

    MHB Algorithm: maximize sum of increasing functions

    Hi! (Not sure which forum to pick for this question. This looked like the best one. I apologies if it is not) I have a number of functions (say m functions) with integer domain. All functions are increasing. (Increasing in the sense not decreasing, $f(n+1) \ge f(n)$.) I want an algorithm to...
  30. T

    Is the velocity of this object increasing or decreasing?

    Homework Statement Hi everyone, 8th grade physics teacher here. We are doing a handout where we have to identify time-velocity graphs with descriptions. Can you help me with this one? https://imgur.com/a/vEIkg A) The velocity is increasing at a uniform rate. B) The velocity is decreasing at...
  31. M

    MHB Show that the function is bounded and strictly increasing

    Hey! :o Let $r_1,r_2,r_3, \ldots$ a numeration of all rational numbers and $f:\mathbb{R}\rightarrow \mathbb{R}$ with $\displaystyle{f(x)=\sum_{r_n<x}2^{-n}}$ I want to show that $f$ is bounded and strictly increasing. To show that the function is bounded, do we use the geometric sum...
  32. T

    Increasing the number of pole shoes on an alternator rotor

    Would like to know how to determine if 2 additional pair of rotor pole shoes can be added (re-designed) to rotor for existing 72 slot alternator stator. Present claw pole rotor has a total of 12 and I would like to have a total of 16. Any assistance would be appreciated. Thank you.alternator...
  33. M

    MHB How Much Should the Radius Increase to Enlarge the Circle's Area by b Units?

    The radius of a circle is r units. By how many units should the radius be increased so that the area increases by b units? The information in this problem tells me that using the area of a circle formula is needed. A = pi•r^2 I think b should be added to r and squared. A = pi(r + b)^2 Can...
  34. E

    Standing waves on string with increasing tension

    1. The problem statement, all variables, and given/known data Consider a two-loop standing wave on a string. If we increase the tension without changing the frequency, what kind of standing wave can we obtain? (a) one-loop (b) three-loop Homework Equations Velocity = square root of(T/U)...
  35. T

    Increasing and decreasing functions

    Homework Statement f(x)=x[ax-x^2]^ (1/2) for a>0 Then,f(x) A)increases on (3a/4 , a) B)decreases on (0, 3a/4) C)both A,B D)None of these Homework Equations differentiation chain rule f(x) is said to be increasing in (a,b) if it's derivative is positive and decreasing if it's derivative is...
  36. M

    Magnetic field of a finite wire increasing with distance?

    I am computing magnetic field around a thick conductor to do railgun force modeling. I am currently re-examining my magnetic field computation, and I have found some confusing results stemming from a fairly simple use of the Biot-Savart Law. The main issue is that the more nuanced application of...
  37. T

    Increasing voltage regulator current

    I'm looking to draw about 6A. I have an LM338 regulator that can supply up to 5A. Searching the internet I came across this schematic, So basically when the 1R resistor drops 0.6V then the transistor conducts the remainder of the current. I calculated my own values for those two resistors. Was...
  38. Z

    Increasing voltage using operational amplifier

    I want to build own circuit usinghttps://ez.analog.com/external-link.jspa?url=http%3A%2F%2Fwww.kynix.com%2FProduct%2FCate%2F470.htmland resistors. I have 12V power source (car accumulator) and 6V input voltage (Vin). I want to get 12V Vout and 25W at the output. So that is about 2A...
  39. C

    Increasing the Power Output of a Turbine

    I have a hydro turbine spinning at 62.746RPM and it produces 170.195Nm of torque. It generates 1.1183kW but ideally, I would like to step it up to at least 4.5kW. Is this possible using a gearbox and if so how can it be done?
  40. chakib

    B Sum of increasing and decreasing functions

    i want to know if any real function can be expressed as: f(x)=g(x)+h(x) such as g(x) is an increasing function and h(x) is a decreasing function? thanks
  41. DavitosanX

    Increasing the concentration of a solution - Diff Eq?

    I have a question regarding a problem in chemistry. I ultimately solved it, but I wanted to know if the problem itself could be represented as a differential equation, and if the solution I found is the solution to that equation. The explanation is a little long, but I don't think I can make it...
  42. M

    Show there exists a smooth (bump) function....

    Homework Statement For a1 < a2 < b2 < b1 and c > 0 real numbers show that there exists a smooth (bump) function f : R → R with the following property: f(x) = ... - 0 if x ≤ a and x ≥ b - c if a2 ≤ x ≤ b2 - monotonic...
  43. G

    Boil by increasing temperature or reducing pressure?

    Which one is cheaper to do if I have a reactor at 45 bar, 80C and wish to distill a substance before it enters another reactor at 15 bar, 150C?
  44. I

    I Increasing solar energy conversion efficiency

    You can burn a hole in paper using a magnifying glass and light. What would happen if you applied this large-scale on a solar panel?
  45. C

    Path of light in a medium with increasing refractive index

    Homework Statement A medium has a refractive index, ##n(y)=n_0 \sqrt{1+y/a}## which increases along y. Assume ##n_0## and ##a## are constants and always positive. If a light beam enters horizontally along y, through (0,0), find the curve the path of the light ray takes. Homework Equations ##F...
  46. rumborak

    Increasing car efficiency by rerouting airflow?

    This is only a semi- serious thread, since I suspect there's a simple back-of-a-napkin calculation that shows this to be infeasible. The idea is the following: a lot of a car's efficiency gets lost in the form of air drag, I.e. forcing the air to go around the car. Could one upscale a...
  47. texasnano

    A Does increasing photon flux density increase attenuation?

    follow up from responses in old thread. https://www.physicsforums.com/threads/why-does-attenuation-coefficient-decrease-with-increased-energy.569981/ I have seen in my experiment using a saline media ( some oxygen bubbles) that an increase in Incident PFD is showing an slight increase in the...
  48. hackhard

    Detect increasing or decreasing pot output

    I want to detect whether potentiometer output voltage is increasing or decreasing and convert this to a digital signal. the circuit must be able to sense tiny voltage changes (order of 10mV) and with high speed. all I am interested is if Vout increases or decreases not by how much increasing V...
  49. Dilemma

    Generating current through increasing capacitance

    Hello, 1. Homework Statement Assuming that the dielectric is inserted at a constant rate, find the current I as the slab is inserted. Express your answer in terms of any or all of the given variables V, K, r, d, Δt, and ε0, the permittivity of free space.Homework Equations [/B] C = ε0 * A /...
  50. Z

    Increasing the number of workers reduces the number of days

    Homework Statement If 15 workers can pave 18 driveways in 24 days, how many days would it take 40 workers to pave 22 driveways? Homework Equations Set of worker * driveways* days/Another set of workers * driveways The Attempt at a Solution 15 * 18 *24/40 * 22 =54/11 wrong Some body please...
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