What function can decrease a number with increasing proportion?












1














This is function can be used to reduce a number with unfixed proportion: when x equals 0, the subtracted proportion will be 0, that is x * (1-0), and when x equals infinite large, then subtracted proportion will be 1, that is x * (1-1). For some specific example, when x is rather small number such as 200, the output will be 199.9, and when x is pretty large number such as 4000, the output will be 1800, etc.


And in ideal, this function can have a coefficient to control how the decreasing trend will be like. It's kind looks like a root function, but that reduces a number too fast at beginning and too slow at the end.
In practice, it may can be used to calculate how much resistant force to apply or how much a image's pixels will be removed when compress.


If anyone can answer it, thank you in advance.










share|cite|improve this question
























  • Your question is a bit confusing to be honest, but $f(x) = xleft(1 - frac{1}{800}left(frac{19x}{100} - 30right) right)$ goes through the points you have and increases up until $x = 41500/19$
    – AlkaKadri
    Nov 28 '18 at 4:41


















1














This is function can be used to reduce a number with unfixed proportion: when x equals 0, the subtracted proportion will be 0, that is x * (1-0), and when x equals infinite large, then subtracted proportion will be 1, that is x * (1-1). For some specific example, when x is rather small number such as 200, the output will be 199.9, and when x is pretty large number such as 4000, the output will be 1800, etc.


And in ideal, this function can have a coefficient to control how the decreasing trend will be like. It's kind looks like a root function, but that reduces a number too fast at beginning and too slow at the end.
In practice, it may can be used to calculate how much resistant force to apply or how much a image's pixels will be removed when compress.


If anyone can answer it, thank you in advance.










share|cite|improve this question
























  • Your question is a bit confusing to be honest, but $f(x) = xleft(1 - frac{1}{800}left(frac{19x}{100} - 30right) right)$ goes through the points you have and increases up until $x = 41500/19$
    – AlkaKadri
    Nov 28 '18 at 4:41
















1












1








1







This is function can be used to reduce a number with unfixed proportion: when x equals 0, the subtracted proportion will be 0, that is x * (1-0), and when x equals infinite large, then subtracted proportion will be 1, that is x * (1-1). For some specific example, when x is rather small number such as 200, the output will be 199.9, and when x is pretty large number such as 4000, the output will be 1800, etc.


And in ideal, this function can have a coefficient to control how the decreasing trend will be like. It's kind looks like a root function, but that reduces a number too fast at beginning and too slow at the end.
In practice, it may can be used to calculate how much resistant force to apply or how much a image's pixels will be removed when compress.


If anyone can answer it, thank you in advance.










share|cite|improve this question















This is function can be used to reduce a number with unfixed proportion: when x equals 0, the subtracted proportion will be 0, that is x * (1-0), and when x equals infinite large, then subtracted proportion will be 1, that is x * (1-1). For some specific example, when x is rather small number such as 200, the output will be 199.9, and when x is pretty large number such as 4000, the output will be 1800, etc.


And in ideal, this function can have a coefficient to control how the decreasing trend will be like. It's kind looks like a root function, but that reduces a number too fast at beginning and too slow at the end.
In practice, it may can be used to calculate how much resistant force to apply or how much a image's pixels will be removed when compress.


If anyone can answer it, thank you in advance.







functions






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Nov 28 '18 at 6:20

























asked Nov 28 '18 at 4:03









Elliott Yang

62




62












  • Your question is a bit confusing to be honest, but $f(x) = xleft(1 - frac{1}{800}left(frac{19x}{100} - 30right) right)$ goes through the points you have and increases up until $x = 41500/19$
    – AlkaKadri
    Nov 28 '18 at 4:41




















  • Your question is a bit confusing to be honest, but $f(x) = xleft(1 - frac{1}{800}left(frac{19x}{100} - 30right) right)$ goes through the points you have and increases up until $x = 41500/19$
    – AlkaKadri
    Nov 28 '18 at 4:41


















Your question is a bit confusing to be honest, but $f(x) = xleft(1 - frac{1}{800}left(frac{19x}{100} - 30right) right)$ goes through the points you have and increases up until $x = 41500/19$
– AlkaKadri
Nov 28 '18 at 4:41






Your question is a bit confusing to be honest, but $f(x) = xleft(1 - frac{1}{800}left(frac{19x}{100} - 30right) right)$ goes through the points you have and increases up until $x = 41500/19$
– AlkaKadri
Nov 28 '18 at 4:41












0






active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3016699%2fwhat-function-can-decrease-a-number-with-increasing-proportion%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.





Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


Please pay close attention to the following guidance:


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3016699%2fwhat-function-can-decrease-a-number-with-increasing-proportion%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Quarter-circle Tiles

build a pushdown automaton that recognizes the reverse language of a given pushdown automaton?

Mont Emei