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Minimum perimeter of quadrilateral
[size=85]Given a cyclic quadrilateral ABCD where AB=20, BC=40, CD=30, and DA=50. Construct another quadrilateral P, Q, R, S where P is along AB, Q is along BC, R is along CD, and S is along DA that will produce the minimum perimeter.[br][url=http://www.geogebra.org/forum/viewtopic.php?f=2&t=34135]http://www.geogebra.org/forum/viewtopic.php?f=2&t=34135[/url][br] If O is the intersection of the diagonals AC and BD, und P, Q,R, S are the feet of the perpendiculars of O on the sides AB, BC, CD, DA, respectively, --> PQRS is the quadrilateral of minimum perimeter inscribed in ABCD - It can be proven. [br] Using Geogebra this problem is solved here by computing the extrema of functions of 4 variables. The problem has infinitely many solutions.[/size]
Visualisierung des numerischen Verfahrens zur Identifizierung der Art der Extrema von Funktionen mit zwei Variablen auf einer Konturkarte (Contour Map)
[size=85] Für die Funktion f(x,y) mit zwei Variablen auf einer Konturkarte wird ein numerisches Verfahren zur Bestimmung der Art der Extrema ohne Verwendung der Ableitungen vorgeschlagen.[br] Die Analyse basiert auf der zusammengesetzten Funktion [color=#9900ff]Δf(α)[/color] - Änderungen der Funktion f(x,y) für die entsprechenden Punkte auf den Kreisen (r; α) und (r+Δr; α). Das Applet bestimmt Bereiche monotoner Zunahme oder Abnahme für die untersuchten Funktion f(x,y) auf einem Testkreis, der um einen kritischen Punkt auf der Konturkarte beschrieben wird. [br] ✱Wenn [color=#9900ff]Δf(α)<0[/color] für α∈[0,2 π ], dann [color=#0000ff]nimmt[/color] f(x,y) an den Enden der Radien r und r+Δr der Kreise (für jedes α) [color=#0000ff]ab[/color], d.h. es gibt ein [color=#ff0000]lokales Maximum[/color] in ihrem Zentrum.[br] ✱Wenn [color=#9900ff]Δf(α)>0[/color] für α∈[0,2 π ], dann [color=#ff0000]nimmt[/color] f(x,y) an den Enden der Radien r und r+Δr der Kreise (für jedes α) [color=#ff0000]zu[/color], d.h. es gibt ein l[color=#0000ff]okales Minimum[/color] in ihrem Zentrum.[br] ✱Wenn [color=#9900ff]Δf(α)[/color] für [color=#9900ff]α∈[0,2 π ][/color], eine alternierende Funktion mit Nullstellen (in der Farbe „[color=#1e84cc]Deep Sky Blue[/color]“) ist, dann hat f(x,y) [color=#ff0000]steigende[/color] und [color=#0000ff]fallende[/color] Funktionsabschnitte an den Rändern dieser Kreise, d.h. es gibt einen [color=#00ff00]Sattelpunkt[/color] in der Mitte dieser Kreise. In der Nähe dieses Punktes hat die Fläche die Form eines Sattels um den kritischen Punkt: - [i]konkav nach oben[/i] in einer Richtung, - [i]konkav nach unten[/i] in einer anderen Richtung. 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[/img][br][/size][size=85]*Das Applet bietet die Möglichkeit, die Genauigkeit dieser Berechnungen zu überprüfen, indem die berechneten Monotoniegrenzen verfolgt werden (Schaltfläche "Trace On").[br]**Im Fall von Index=1 ist es möglich, Funktionen aus dem Eingabefeld einzugeben.[/size][br]
Funktionsgraphen (index=3) mit gleichem Konturdiagramm: f(x,y)=(x²-y²)ᴷ für k=1 und k=2
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[size=85]1. Konzentrische geschlossene Konturlinien zeigen immer entweder ein [color=#0000ff]lokales Minimum[/color] oder ein [color=#ff0000]lokales Maximum[/color] an. [br] Kritische Punkte, die kein [color=#ff0000]lokales Maximum[/color] oder [color=#0000ff]Minimum [/color]sind, sind meistens [color=#6aa84f]Sattelpunkte[/color]. Es ist eine Kreuzung zweier Konturlinien von f(x,y). Die Oberfläche hat die Form eines [color=#6aa84f]Sattels[/color] um den kritischen Punkt: – [i]konkav[/i] [i]nach oben[/i] in eine Richtung, –[i] konkav nach unten[/i] in eine andere.[br]2. Wenn eine Konturlinie sich selbst schneidet, könnte der Punkt ein[br]★ [color=#6aa84f]Sattelpunkt[/color],[br]★ [color=#0000ff]lokales Minimum[/color] oder[br]★ [color=#ff0000]lokales Maximum[/color] sein.[br] Hier ist ein Paar Funktionsgraphen mit demselben Konturdiagramm. In der Abbildung werden zwei Fälle für Index=3 betrachtet:[br] (a) für k=1 Hyperbolic paraboloid: z=x[sup]2[/sup]-y[sup]2 [/sup]und [br] (b) für k=2 z=(x[sup]2[/sup]-y[sup]2[/sup])[sup]2[/sup].[br]Für eine Diskussion siehe den Artikel "[url=https://math.stackexchange.com/questions/3345225/how-to-read-contour-plot]How to read contour plot[/url]?".[br]Ein ähnlicher Fall ergibt sich für den Fall Index=1: z=x y und z=(x y)[sup]2 [/sup]. Sie können sich selbst ein Bild von diesem Fall machen, indem Sie den Sattelpunkt auf ein[color=#ff0000] lokales Maximum [/color]setzen. [/size]
Beispiel (index=7): f(x,y)=x⁶+y⁶-15(x²+y²)
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[size=85]In diesem Beispiel gibt es [b]einen [/b]Punkt mit [color=#ff0000]lokalem Maximum[/color], [b]drei[/b] Punkte mit [color=#ff0000]lokalem Minimum[/color] und [b]drei[/b] [color=#00ff00]Sattelpunkte[/color].[/size]
Beispiel (index=8): f(x,y)=3(1-x²) exp(-(x-0.5)²-(y+1)²)-2(0.2x-x³-y⁵)exp(-x²-y²)sin(x-y)
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Beispiel (index=9): Ist N ein Sattelpunkt?
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[size=85]Is [color=#00ff00]N[/color] a [color=#00ff00]saddle point[/color] here?[br][url=https://www.wolframalpha.com/input?i=%28x%5E2%2B+y%5E2%29%5E2%2B3+x%5E2+y-+y%5E3+]https://www.wolframalpha.com/input?i=%28x%5E2%2B+y%5E2%29%5E2%2B3+x%5E2+y-+y%5E3+[/url][br] f(x, y) = (x² + y²)² + 3x² y - y³;[br] f[sub]x[/sub] (x,y)=4x³+2xy(2y+3);[br] f[sub]y[/sub](x,y)=x²(4y+3)+y²(4y-3); [br] f[sub]xx[/sub](x,y)=12x² + 4y² + 6 y;[br] f[sub]xy[/sub](x,y)=8 xy+6 x;[br] f[sub]yx[/sub](x,y)=8 xy+6 x;[br] f[sub]yy[/sub](x,y)=4x²+12y²-6y;[br] D(x,y)=|f[sub]xx[/sub]*f[sub]yy[/sub]-f[sub]xy[/sub]*f[sub]yx[/sub]|;[br]D(x,y)= (12x² + 4y² + 6y) (4x² + 12y² - 6y) - (8x y + 6x)² =[br]=12 (4x⁴ + 8x² y² - 12x² y - 3x² + 4y⁴ + 4y³ - 3y²);[br]⇒f[sub]x[/sub](0,0)=0; f[sub]y[/sub](0,0)=0 ; D(0,0)=0[br]Regarding the case D=0 in the literature we have ambiguous arguments:[br][url=https://en.wikipedia.org/wiki/Second_partial_derivative_test]https://en.wikipedia.org/wiki/Second_partial_derivative_test[/url][br]... critical point (0, 0) the second derivative test is insufficient, and [i]one must use higher order tests or other tools to determine the behavior of the function[/i] at this point. ([b]In fact[/b], one can show that f takes both [color=#ff0000]positive[/color] and [color=#0000ff]negative[/color] values in small neighborhoods around (0, 0) and so [b]this point is a[color=#00ff00] saddle point [/color]of f.[/b])[/size]
Schema zur Berechnung stationärer Punkte Funktion 2 Variablen
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[size=85]From [url=https://ayraethazide.tumblr.com/post/74061500099/here-are-some-notes-on-the-classification-of]https://ayraethazide.tumblr.com/post/74061500099/here-are-some-notes-on-the-classification-of[br][/url] Eine detaillierte Lösung des Problems für den Fall index=10 gemäß dem obigen Diagramm wird ausführlich in [url=https://socratic.org/questions/what-are-the-extrema-and-saddle-points-of-f-x-y-f-x-y-xy-1-x-y]Calculus[/url] "What are the extrema and saddle points of f(x,y)=xy(1−x−y)?" besprochen.[/size]
Interactively find and use CAS GeoGebra to compute local extrema of a nonlinear function of two variables
[size=85] The purpose of this applet is to find and calculate the possible extremes of the nonlinear function f(x,y). The possibilities of such calculations are shown by the example of the sum of several nonlinear functions.[br][b]Method[/b]. The problem comes down to finding the first partial derivatives fx(x,y) and fy(x,y). Using equations with implicit functions fx(x,y)=0, fy(x,y)=0 in the CAS section of GeoGebra, the intersection points of these implicit functions are found numerically, which are possible extreme points.[br] The applet [b][i]provides[/i][/b] an approximate [u][i]method to determine the type of these points[/i]: [b][color=#ff0000]maximum[/color][/b], [color=#0000ff][b]minimum[/b][/color], [/u][b][color=#93c47d][u]saddle. [/u][/color][/b]There is a test circle with radius [b]p0[/b] and three moving points arranged at 120° to each other. If the test point is [b][color=#ff0000]red[/color][/b], then it is the [b][color=#ff0000]maximum[/color][/b] point and the points on the circle are [b][color=#0000ff]blue[/color][/b], i.e. the function is decreasing [b]↘ [/b]from the test point [b]A[/b]. If it is [b][color=#0000ff]blue[/color][/b], then it is the [b][color=#0000ff]minimum[/color][/b], [b][color=#93c47d]green[/color][/b] is a [b][color=#93c47d]saddle[/color][/b] point. This is an approximate method. To be sure, you can rotate these points in a circle and see how their color changes. When refining the result, you can reduce the value of the radius [b]p0[/b].[br] [b][i]What actions can you do with this applet?[/i][/b][br]In [b]section 1[/b]. Collect all extreme points in one list. To do this: Set the test point [b]A[/b] at each intersection of the curves fx(x,y)=0 and fy(x,y)=0 and press the "[i]click script[/i]" button one after the other and with the help of the [b][color=#ff00ff]Solve[/color][/b] command a list of all possible local extrema will be formed. [br]In [b]Section 2[/b]. You can see these extrema and their ordinal numbers, their number -Length[[color=#ff00ff]Solve[/color]].[br]In [b]Section 3[/b]. With the help of the available script these points can be sorted into lists: [color=#ff0000][b]Max[/b][/color], [b][color=#0000ff]Min[/color][/b], [b][color=#93c47d]Sad[/color][/b]. [/size]
1. Visualizing a function of two variables using contour lines
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2. Test point A to determine extremum type
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[b][size=85]Test point A to determine extremum type and 3 test points on circle (p0 is its radius).[/size][/b]
3. Compare the work of commands: Solutions and Solve
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[size=85] An example of a case where the [b]Solutions[/b] command cannot determine the extreme point (for h=1,2,4). In all other cases both commands: [b]Solve[/b] and [b]Solutions[/b] have matching solutions![/size]
4. Selection of solutions
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[size=85] In GeoGebre there is a well-known problem in comparing very small numbers. In this regard, for the proposed geometric method of recognizing the type of extrema, it is necessary to leave only the solutions found using CAS, [color=#9900ff][b]Solve₂,[/b][/color] in which the functions at these points abs(f(x(A),y(A)))>10⁻⁶.[/size]
Algorithm for finding the expected location of Local maxima or minima of stationary points of a function of two variables in the coordinate descent-ascent method
[size=85][b] [size=100] Algorithm for finding the expected location of [b][color=#980000]Local[/color] [/b][color=#ff0000]maxima[/color] or [color=#0000ff]minima[/color] of stationary points of a function of two variables in the coordinate descent-ascent method[/size][/b][br]I used[br]- contour map or heat map to approximate the location of stationary points for a function of two variables,[br]- GeoGebra [color=#ff0000][b]Maximize[/b][/color]/[color=#0000ff][b]Minimize[/b][/color] commands using the coordinate [url=https://en.wikipedia.org/wiki/Coordinate_descent][b]ascent-descent[/b][/url] method, applying the coordinate sliders [b]X [/b]and [b]Y[/b] to numerically find the desired [b][color=#ff0000]maxima[/color][/b]/[color=#0000ff][b]minima.[br][/b][/color] At each iteration step (initially variation by [b]X[/b], then by [b]Y[/b]) we have a new point [b]E[/b]:=([b]X[/b],[b]Y[/b]) and then the variation interval around the new point decreases: x([b]E[/b])-p <[b]X<[/b]x[b](E[/b])+p and correspondingly y([b]E[/b])-p<[b]Y<[/b]y[b](E)+p. [/b]p is the radius of the circle described around point [b]E[/b]. po is the initial radius, then it decreases according to the law p:=p*q. I have q=0.75.[br][br] [i]Problems[/i].[br] [u][i] First. [/i][/u]The accuracy of calculations in the Geogebra algebra section is limited. At the final stage, the result is refined using the [b]CAS[/b] section, where the accuracy of calculations is much greater.[br] [u][i]Second. [/i][/u]The [color=#ff0000][b]Maximize[/b][/color]/[color=#0000ff][b]Minimize[/b][/color] commands do not necessarily find the "most" local extreme values. Therefore, at each step, all previous ones are sorted and the most optimal step is selected.[/size]
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[/img][/td][td][size=85][b]X[/b]:=cx; [b]Y[/b]:=cy,[br][size=50][/size][/size][size=85]If[SIndex==1,Execute[{"SetValue[cx,[color=#ff0000][b]Maximize[/b][/color][f_{cxcy},cx]]","SetValue[cy,[b][color=#ff0000]Maximize[/color][/b][f_{cxcy},cy]]" } ]] [br]If[SIndex==2,Execute[{"SetValue[cx,[color=#0000ff][b]Minimize[/b][/color][f_{cxcy},cx]]","SetValue[cy,[b][color=#0000ff]Minimize[/color][/b][f_{cxcy},cy]]" } ] ][/size][size=85][size=50][/size][/size][/td][/tr][/table]
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[size=85] The number of iteration steps is [b]no[/b]. Here, it should be taken into account that at the points ([b]X[/b],[b]Y[/b]) of the iteration, the values of the function f([b]X[/b],[b]Y[/b]) are close to each other and the choice of the [color=#ff0000][b]maximum[/b][/color]/[color=#0000ff][b]minimum[/b][/color] value (here they are [i]estimated parameters[/i]) from the function values is at the limit of the accuracy of the [b]GeoGebra[/b] algebra. That is, the best element [i]is not necessarily the last member of the iteration[/i]. Therefore, the "[b]best[/b]" point is constantly (at each iteration step) determined [i]by sorting[/i]. [b][color=#ff00ff]R*[/color][/b]: Step i=[b][color=#ff0000]32.[/color][/b][br] And in order to "i[i]mprove the result[/i]", all iteration points at the end of the calculation are checked using [b]CAS,[/b] where the accuracy of the calculations is much higher. [b][color=#ff7700]R**[/color][/b]: Step i=[b][color=#ff0000]35. [/color][/b]Interestingly, the functions of the sorting points are always [i]in the interval[/i] of the current iteration. [br] The values of the partial derivatives [b]f[sub]x[/sub][/b] and [b]f[sub]y[/sub][/b] for the functions under consideration for a point sorted in this way give zero values with high accuracy![/size]
[size=85]Applets explaining algorithms for calculating stationary points:[br][url=https://www.geogebra.org/m/ef6s3hyj]Algorithm[/url] for finding the location of local maxima or minima [br][url=https://www.geogebra.org/m/hcgdjdyf]Algorithm[/url] for finding the location of the saddle point [br][br]*Examples of using the described algorithms can be found in the applets: [url=https://www.geogebra.org/m/eyqphb7g]1[/url], [url=https://www.geogebra.org/m/qktn5chb]2[/url], [url=https://www.geogebra.org/m/hmq7asxa]3[/url], [url=https://www.geogebra.org/m/z4esav5y]4[/url].[/size]
Visualization of a numerical method for determining the type of extrema of functions with two variables on a contour map without using derivatives. 1.0
[b] f(x, y) = x[sup]4[/sup]+y[sup]4[/sup]-8*x[sup]2[/sup]-18*y[sup]2[/sup]-2 [/b][br][b]*Detailed instructions and explanations for this applet can be found in the previous applets [url=https://www.geogebra.org/m/yf62eg4c]1[/url], [url=https://www.geogebra.org/m/v6pwykyh]2[/url] and [url=https://www.geogebra.org/m/djtadvjc]3[/url].[/b]
Visualization of a numerical method for determining the type of local extrema of functions with two variables on a contour map without using derivatives. 2.1
[b]f[sub]2[/sub](x, y) = k[sub]f[/sub]*(-2 x⁵ y - 2y⁶ - 2x² y² + 2y³ + x³ + 3x² + 4y² + x y + x - y - 5)[br][size=85][br]*Detailed instructions and explanations for this applet can be found in the previous applets [url=https://www.geogebra.org/m/yf62eg4c]1[/url], [url=https://www.geogebra.org/m/v6pwykyh]2[/url] and [url=https://www.geogebra.org/m/djtadvjc]3[/url].[/size][/b]
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Visualization of a numerical method for determining the type of extrema of functions with two variables on a contour map without using derivatives. 3.0
[size=85][b] f(x, y) = 3ℯ[sup]-(y + 1)² - x²[/sup] (x - 1)² - ℯ[sup]-(x + 1)² - 8²[/sup] / 3 + ℯ[sup]-x² - y²[/sup] (10x³ - 2x + 10y⁵)[br][br]*Detailed instructions and explanations for this applet can be found in the previous applets [url=https://www.geogebra.org/m/yf62eg4c]1[/url], [url=https://www.geogebra.org/m/v6pwykyh]2[/url] and [url=https://www.geogebra.org/m/djtadvjc]3[/url].[/b][/size]
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Visualization of a numerical method for determining the type of extrema of functions with two variables on a contour map without using derivatives. 4.0
[b]f(x, y) = 3 (1 - x²) ℯ[sup]-(x - 0.5)² - (y + 1)²[/sup] - 2 (x / 5 - x³ - y⁵) ℯ[sup]-x² - y²[/sup] sin(x - y)[/b][br][size=85][br][b]*Detailed instructions and explanations for this applet can be found in the previous applets [url=https://www.geogebra.org/m/yf62eg4c]1[/url], [url=https://www.geogebra.org/m/v6pwykyh]2[/url] and [url=https://www.geogebra.org/m/djtadvjc]3[/url].[/b][/size]
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Heatmap des Beugungsfeldes hinter dem Spalt erstellen, berechnet mit Beugungsintegralen: b/λ=20.
[size=85]Hier betrachten wir einen komplizierteren Fall: b/λ=20 als im [url=https://www.geogebra.org/m/mjtbuufj]Applet[/url]. [br] Durch Auswahl der entsprechenden Scan-Parameter in Eingabefelder kann eine "[color=#ff0000]Heatmap[/color]" erstellt werden.[br] In der linken unteren Ecke des Grafikfeldes werden durch Anklicken des entsprechenden Kästchens [b]3 Fotos[/b] angezeigt. Sie sind alle für dasselbe Beugungsfeld hinter dem Spalt gemacht, aber für unterschiedliche Färbungen.[br]Hinweis: Beim Umschalten von Fotofenstern ändert sich die Größe des Grafikfeldes.[/size]
1. Foto b/λ=20, Farbe=5.
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[u]Im ersten Fall [/u]wird die "[color=#ff0000]Heatmap[/color]" für die Farboption [i]Farbe=5[/i] erstellt.
2. Foto b/λ=20, Farbe=1
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[u]Im zweiten Fall [/u]wurde dasselbe Beugungsfeld aufgenommen, jedoch mit der Farboption [i]Farbe=1[/i]. In diesem Fall treten die Merkmale der Nahfeldstruktur sehr deutlich hervor.
3. Foto b/λ=20, Farbe=1, Ausschnitt aus dem zweiten Fall im Bereich der X-Achse von 10 bis 44.
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b/λ=20, Farbe=1, Ausschnitt aus dem zweiten Fall im Bereich der X-Achse von 0 bis 44.
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[u]Die dritten Bilder[/u] sind Ausschnitten aus dem zweiten Bild in den X-Achsenbereichen 0-44 und 10-44.[br]In diesem Fall ist die Zellstruktur des Feldes deutlich zu erkennen. Für jeden Brennpunkt auf der Spaltachse können wir eine entsprechende Familie von seitlichen Extrempunkten des Feldes auswählen, die auf einer bestimmten Parabel liegen. Je näher die Parabel am Spalt liegt, desto gerader wird sie. Innerhalb des Spalts entspricht die Anzahl der Maxima dem Verhältnis b/λ.
4. Foto b/λ=20, Farbe=1
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