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minimum

In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema), or on the entire domain (the global or absolute extrema). Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.
As defined in set theory, the maximum and minimum of a set are the greatest and least elements in the set, respectively. Unbounded infinite sets, such as the set of real numbers, have no minimum or maximum.

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  1. M

    Minimum depth of water pipe

    I’ve got a question about pipe depth. My old incoming water pipe is leaking but is below the neighbour’s subsequent big drainage pipe running across it and is hard to access, on a narrow pedestrian lane in a conservation area. (The experienced plumbers I got in dug down so far then backed away...
  2. J

    Minimum distance above combi boiler?

    We were due to have a combi boiler fitted whilst we were away, however the plumber called to let me know that our desired location (see pic - white nylon bag pushed in hole, above metal track) was not achievable as it would result in the flue being above the ceiling and therefore not legal or...
  3. W

    Legal Minimum Wage for a Lvl 2 NVQ Qualified Plumber?

    Hey, I wasn't sure where to post this so sorry If this isn't right. But basically I've just finished and passed my Level 2 NVQ Plumbing Course and my Unvented Systems Course. I've been working for the company for 1 year and 7 months. I'm due a pay rise but not until next month, I was just...
  4. M

    Baxi 105HE minimum pressure

    Can someone tell me the minimum pressure to set the gas valve as the manual doesn't list it. Thanks
  5. R

    Boiler Cupboard

    Hi I have a logic plus combo boiler C35 and I'm going to be building a plasterboard cupboard around it..does need minimum clearances around it? and some form of ventilation e.g louvres vents? Ive look in my manual but cant see to find any info All advice appreciated Thanks
  6. R

    Minimum width of WC waste pipe

    Hi, I'm installing a new bathroom upstairs, the waste pipe of which will connect to the existing soil stack. Is a 110mm pipe the minimum for a branch pipe to remove bathroom waste, or could a smaller pipe be used? I've been working off the assumption that it is, however a couple of people...
  7. R

    Minimum distance of branch pipe from top of stack

    Hi, I'm connecting a 110mm branch pipe to the main stack the top of which is in the loft (sealed with a air admission valve) however the likely connection point will be about 20 inches from the top of the stack. Is there a minimum distance from the top of the stack any branch connections...
  8. Riley

    Minimum for a Combi

    Hi All dealing with a very nice landlord who is trying to plan the layout of a recently acquired first floor flat. The current install is a vented old school boiler that's just been condemned. Question is what's the lowest flow and pressure you would happily install a Combi on. Testing I get...
  9. P

    What's The Minimum Length Of Pipe I Need To Get A Freeze Kit On?

    Bit of a tricky one. The stop tap in pavement is very old and does nothing. Water co says 10 months to come out and replace!!! The stop tap inside the Victorian house is under an access panel in floor inside front door as the tap is in void under ground floor. The pipe from under garden is lead...
  10. B

    Rental Property - Replacement Gas Hob

    Hi I have now registered and I am posting this query as a member. We have a gas hob in a rental property which was fitted prior to the current regulations regarding cabinets / extractors around / above the hob. This means that the Landlord's Gas Certificate has an advisory that the...
  11. S

    New plumber rates?

    Hi folks. Ok, I'm progressing bit by bit. Sole trader since 2000, had staff come and go as work fluctuates. I took on an apprentice for year then jacked , as they do. My current app entice is just finishing his 1st year and wants to stay . Point is, how much to pay him.? Ok.., his details...
  12. D

    Suggest gas combi boiler

    Hi guys, I`m looking for ultimate gas combi boiler, for underfloor heating, but struggling to find such. Can you advise? Must have following spec: 1. 24-30kw - 1 bed flat. 2. Stainless steel heat exchanger 3. Minimum of 12.3L/min at 35 degrees 4. Modulation 1:6 5. Minimum efficiency of 89%...
  13. F

    Minimum mains water flow rate

    Hi all. Bumped into a guy who worked for a water supply company the other day and he mentioned that the supply company has a duty to be giving at least 10 litres per minute to a property. Is this true and if so is it true for all of the UK? regards, chris
  14. A

    Do you have a minimum charge no matter what?

    Hi guys, Do you have a minimum charge for even the smallest of jobs? As you are running a business can you afford to say oh just give me £10.00? What i'm saying is if you charge £30ph (or whatever) would you still charge that for changing a tap washer that is straight forward and easy to get...
  15. A

    apprentice wages

    hi guys, im new too the forum! :D i'm an apprentice (lucky me) :D:D coming onto my second year. i was just wondering how much my hourly rate should be. i am currently on 2.68 an hour. cheers!
  16. J

    minimum space wc

    Does anybody know which Toilet has the minimum projection as the space I have is limited.Many thanks
  17. jaydebruyne

    Bare Minimum

    I've just searched around the forum to see what the bare minimum stock would likely to be and got this: a few 15mm end feed fittings, a few push fit stop ends (for emergencies!), 10mm, 15mm and 22mm, side and bottom fill valves for cisterns and perhaps an outside tap. Is there anything else...
  18. Meady

    Minimum distance between freestanding cooker and a boiler

    Can anyone tell me what the minimum distance between a wall hung boiler and a freestanding cooker space is. Cheers
  19. R

    Websites and minimum order for carriage paid

    Hi All A quick question. Most websites have some kind of delivery charge for small orders. This reflects the fact that there is a minimum cost of picking, packing and shipping an order, and organisations don't want a £10 overhead on a £5 sale. However, it is clearly a barrier sometimes - you...
  20. D

    Minimum size of an aav off a stub stack

    Anyone know the regs with this. Got two commercial toilets to refurb. The client wants to box (with access panels) the stub stacks. Currently they have an AAV on each. I seem to remember you can buy a type which can be beneath the overflow height of the lowest sanitary item, but the idea that...
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