IMCONJUGATE function

PRO BASIC

The IMCONJUGATE function within Jspreadsheet Formulas Pro returns the complex conjugate of a given complex number. This means it changes the sign of the imaginary part while keeping the real part the same. This function is particularly useful in mathematical calculations involving complex numbers, where the complex conjugate often holds key information.

Documentation

The IMCONJUGATE function is used to return the complex conjugate of a complex number.

Syntax

IMCONJUGATE(inumber)

Parameter	Description
`inumber`	The complex number for which to find the complex conjugate.

Behavior

The IMCONJUGATE function returns the complex conjugate of a complex number. The complex conjugate of a number is obtained by changing the sign of its imaginary component. The function takes the format IMCONJUGATE(complex_number), where complex_number is the complex number for which you want to find the complex conjugate.

If complex_number is a valid complex number, IMCONJUGATE will return its complex conjugate.
If complex_number is a real number, IMCONJUGATE will return the same real number since the imaginary part is 0.
If complex_number is a boolean value, IMCONJUGATE will treat TRUE as 1 and FALSE as 0, and return the real number accordingly.
If complex_number is a text string that cannot be interpreted as a complex number, IMCONJUGATE will return a #VALUE! error.
If complex_number is an empty cell, IMCONJUGATE will return a #NUM! error.

Common Errors

Error	Description
`#VALUE!`	This error occurs when the `complex_number` argument is non-numeric or is a text string that cannot be interpreted as a complex number.
`#NUM!`	This error is displayed when the `complex_number` argument is an empty cell.

Best practices

Always ensure that the complex_number argument is a valid complex number or a real number.

Use the IMCONJUGATE function in combination with other complex number functions for calculations involving complex numbers.

Be mindful of the format in which you input the complex number. It should be in the form of "x+yi" or "x-yi", where x is the real part and y is the imaginary part of the complex number.

Handle errors effectively by using error checking functions like ISERROR or IFERROR in your formulas to prevent your spreadsheet from displaying error messages if something goes wrong.

Usage

A few examples using the IMCONJUGATE function.

IMCONJUGATE("3+4i") returns "3-4i"  
IMCONJUGATE("-2-5i") returns "-2+5i"  
IMCONJUGATE("0+8i") returns "-8i"  
IMCONJUGATE(A1) returns the complex conjugate of the value in cell A1

Interactive Spreadsheet Demo

<html>
<script src="https://jspreadsheet.com/v11/jspreadsheet.js"></script>
<script src="https://jsuites.net/v5/jsuites.js"></script>
<link rel="stylesheet" href="https://jsuites.net/v5/jsuites.css" type="text/css" />
<link rel="stylesheet" href="https://jspreadsheet.com/v11/jspreadsheet.css" type="text/css" />

<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Material+Icons" />
<script src="https://cdn.jsdelivr.net/npm/@jspreadsheet/formula-pro/dist/index.min.js"></script>

<div id="spreadsheet"></div>

<script>
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "Complex Number",
        "Complex Conjugate"
    ],
    [
        "3+4i",
        "=IMCONJUGATE(A2)"
    ],
    [
        "-2-5i",
        "=IMCONJUGATE(A3)"
    ],
    [
        "0+8i",
        "=IMCONJUGATE(A4)"
    ],
    [
        "7-3i",
        "=IMCONJUGATE(A5)"
    ]
]
  }]
});
</script>
</html>

import React, { useRef } from "react";
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/react";
import formula from "@jspreadsheet/formula-pro";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default function App() {
    // Spreadsheet array of worksheets
    const spreadsheet = useRef();

    // Worksheet data
    const data = [
    [
        "Complex Number",
        "Complex Conjugate"
    ],
    [
        "3+4i",
        "=IMCONJUGATE(A2)"
    ],
    [
        "-2-5i",
        "=IMCONJUGATE(A3)"
    ],
    [
        "0+8i",
        "=IMCONJUGATE(A4)"
    ],
    [
        "7-3i",
        "=IMCONJUGATE(A5)"
    ]
];

    // Render component
    return (
        <Spreadsheet ref={spreadsheet}>
            <Worksheet data={data} />
        </Spreadsheet>
    );
}

<template>
    <Spreadsheet ref="spreadsheet">
        <Worksheet :data="data" />
    </Spreadsheet>
</template>

<script>
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/vue";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
import formula from "@jspreadsheet/formula-pro";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default {
    components: {
        Spreadsheet,
        Worksheet,
    },
    data() {
        // Worksheet data
        const data = [
    [
        "Complex Number",
        "Complex Conjugate"
    ],
    [
        "3+4i",
        "=IMCONJUGATE(A2)"
    ],
    [
        "-2-5i",
        "=IMCONJUGATE(A3)"
    ],
    [
        "0+8i",
        "=IMCONJUGATE(A4)"
    ],
    [
        "7-3i",
        "=IMCONJUGATE(A5)"
    ]
]

        return {
            data
        };
    }
}
</script>

import { Component, ViewChild, ElementRef } from "@angular/core";
import jspreadsheet from "jspreadsheet";
import * as formula from "@jspreadsheet/formula-pro";

// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

@Component({
    standalone: true,
    selector: "app-root",
    template: `<div #spreadsheet></div>`
})
export class AppComponent {
    @ViewChild("spreadsheet") spreadsheet: ElementRef;
    // Worksheets
    worksheets: jspreadsheet.worksheetInstance[];

    // Create a new data grid
    ngAfterViewInit() {
        // Create spreadsheet
        this.worksheets = jspreadsheet(this.spreadsheet.nativeElement, {
            worksheets: [{
                data: [
    [
        "Complex Number",
        "Complex Conjugate"
    ],
    [
        "3+4i",
        "=IMCONJUGATE(A2)"
    ],
    [
        "-2-5i",
        "=IMCONJUGATE(A3)"
    ],
    [
        "0+8i",
        "=IMCONJUGATE(A4)"
    ],
    [
        "7-3i",
        "=IMCONJUGATE(A5)"
    ]
]
            }]
        });
    }
}

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