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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. richardhart

    Whats the minimum width for a walk in shower entrance

    I've had a 1400x900 shower tray fitted at the end of a 1400 wide bathroom so essentially in an alcove. I wanted to get a glass panel of just under 1000mm and not bother with a door, that would leave a space of just over 400mm to walk in and out. Do you think that would be ok. No fatties in the...
  2. R

    32mm minimum size for external condensate - rule came in when?

    Hi. Was looking for a house on sale the other day and just wanted something confirmed to me... Was there ever a time when a condensing boiler could have been legally fitted, and in accordance with MIs, with a 22mm overflow used as an external condensate pipe... and with that condensate pipe...
  3. D

    A question related to CO2 FGA failing on minimum rate.

    I am going back to a Worcester Greenstar 30 CDi Classic that's failing a CO2 emissions test on minimum rate only. I do adjust the gas valve but there is zero effect. I haven't mixed up the "min" and "max" adjustment screws. What could be causing this boiler to fail on minimum only? It's perfect...
  4. O

    What's the minimum suggested clearance under a radiator?

    I've read it's generally around the 150mm mark, but I'm wanting to fit a particular style (see photo) in to a particular space that will only leave 100mm. I was just wondering if the relatively open structure of this style would give me any latitude in terms of gap between the floor and the...
    • OxfordJules
    • Thread
    • america clearance minimum radiator under usa what's
    • Replies: 3
    • Forum: USA
  5. Riley

    Minimum flow and pressure expected

    Evening chaps, I realise that different parts of the country will differ in terms of pressure and flow in coming but is anybody else noticing a trend that guaranteed litres per minute is coming down and down as confirmed by providers? I have two recent quotes both large family houses where...
    • Riley
    • Thread
    • america flow minimum pressure usa
    • Replies: 5
    • Forum: USA
  6. M

    Minimum size for a walk in screen instead of full door?

    Hi, Diyer here looking for some experienced opinions… I have a 3 walled alcove which I can get a 1200mm shower tray in. Is it realistic to go for a static screen with possibly a 300mm hinged return addition. Or is that just too small and will I end up with water all over outside the shower...
  7. A

    What is the minimum distance between Speedfit connectors?

    I need to fit a valve into my sink feed and space is tight. Just enough to get a tool in to release them later. Thanks.
    • allexmyers
    • Thread
    • america between connectors distance minimum speedfit usa
    • Replies: 6
    • Forum: USA
  8. G

    Underground waste minimum depth ?

    Hi team, Garden room project requires a new drain running to my rear most chamber. The problem is the bottom of this chamber is 0.45m so it's quite shallow. The garden room is higher so there should be enough fall but the new pipe won't be all that deep. A bit of googling and I'm getting mixed...
    • gasjunkie
    • Thread
    • america depth minimum underground usa waste
    • Replies: 11
    • Forum: USA
  9. S

    waste pipe - minimum distance from stack?

    Im installing a wall hung toilet frame and just working out where everything needs to be positioned etc. I want to move the frame/toilet over to the right as far as possible but can anyone tell me if there is a minimum distance that should be used for a straight run before going into the...
    • Serval
    • Thread
    • america distance minimum pipe stack usa waste waste pipe
    • Replies: 3
    • Forum: USA
  10. S

    Replacing Kitchen Tap - what is the minimum insertion depth for push fittings?

    Evening all, Basically my question is how deep must a 15mm copper pipe be inserted into a push fitting for it to function properly without leaking? I Bought this Tap Tail Adapters from Toolstation this morning and I am wondering if they are deep enough. I tried to install a new mixer tap this...
    • ScottishRabbit17
    • Thread
    • america depth fittings kitchen minimum replacing tap usa
    • Replies: 5
    • Forum: USA
  11. perrryman

    Bottle trap waste connection tube minimum length?

    Anyone know if there is a bottle trap connection tube minimum length? (The pipe between the trap and the basin) I would like mine as short as posible so the trap is less obvious. Just wondered if I could cut it really short or does there have to be minimum drop distance before the trap for good...
  12. R

    Worcester Greenstar 38cdi Classic Combi Minimum Flow Rate

    Hello there, I'm wondering if anybody can advise me, please. I'm in the process of switching my thermostatic radiator valves to Drayton Wiser valves. I currently have one radiator fitted with lockshield valves as a bypass, but I would like to put a Wiser valve on this as well and incorporate...
    • RichM999
    • Thread
    • america classic combi flow flow rate greenstar minimum usa worcester
    • Replies: 4
    • Forum: USA
  13. cr0ft

    Commercial Boiler Install Minimum Efficiencies

    Hi all, my employer took on a new build property which was built for them last year. There are 4x 480KW Ideal condensing boilers installed to serve a district heating network serving approx. 560 student apartments. Due to a lack of decent control, these boilers are achieving a seasonal...
  14. P

    Vaillant Ecotec vertical flue minimum distance from soil pipe

    Hi All Has anyone ever questioned the reasons why Vaillant MIs for their vertical flue termination refer to damp exhaust air escapes from “channel vents” may condense in the air pipe and cause damage to the product, this would suggest that the flue terminal has to be at least 1 meter away on...
    • Paul Mc
    • Thread
    • distance ecotec flue minimum pipe soil soil pipe vaillant vertical
    • Replies: 7
    • Forum: Gas Engineers Forum
  15. CorgiDirect

    FREE Delivery To Support Engineers - No Minimum order value

    Hi All Until further notice, to help support engineers, we are now offering FREE UK mainland delivery. There is currently no minimum order value. Normal direct delivery services are available, however the cut off time is now 4pm for next day delivery Please note that delivery outside UK...
    • CorgiDirect
    • Thread
    • america delivery engineers free minimum order support usa value
    • Replies: 1
    • Forum: USA
  16. K

    what is the minimum and maximum gradients for 100mm (diameter) drains

    what is the minimum and maximum gradients for 100mm (diameter) drains
  17. SimonG

    Whats The Minimum Vent Off A Soil Stack?

    Looked a job today, possibly looking at reducing vent size as it's a difficult run. 75mm sticks in my head for some reason. Cheers.
  18. Dan

    Why we have a 5 word per post minimum now in place

    I thought explaining why we have the system in place will help you guys get over it. It's to do with our search engine rankings, and how much traffic we get. So a thread could have a nice long first post, a customer asking about a bath or whatever. Then one person replies to it, a few...
  19. P

    ADVICE PLEASE MINIMUM CLEARANCE ON A COMBI FLUE

    Good Afternoon Please can anyone confirm what the minimum distance the top of the flue pipe should be from the eaves and guttering if the flue is extended so the end of the flue is past the fascia and gutters and releases any gasses into the open air. I have an Intergas 28/24 combi boiler In...
  20. T

    Gas fire , chimney liner query. Minimum 125mm/5” ?

    hello, I have a question regarding the minimum size of a chimney for a gas fire. The builder doing the house refurbishment has apparently got fires included in his gas safe, so they are undertaking the work. They are building a chimney breast from new, there are 2 basket gas fires rated at...
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