We will first define two useful quantities related to an arbitrary complex number z=x+iy.z=x+iy. (a)Modulus:|z|a)Modulus:|z| The modulus, which can be interchangeably represented by |z||z| or r,r, is the distance of the point zz from the origin, so that its numerical value is...
What is the real part of a complex number? What does a line over a complex number mean? How do you find a complex number given the modulus and argument? What is the complex conjugate of the complex number 2 - 4i? Prove that if z is a complex number then \frac{1}{z}=\frac{\ov...
What is an example of a complex sentence?Question:What is an example of a complex sentence?Sentence ComplexitySentence complexity has to do with the number of dependent and independent clauses in a sentence. Simple sentences consist of one independent clause. Complex, compound, and compound-complex...
Complex numbersexponentsnumber systemsMost any students can explain the meaning of a b , for a ∈ R and for b ∈ Z . And some students may be able to explain the meaning of ( a + b i ) c , for a , b ∈ R and for c ∈ Z . However, few may be able to explain a d i ...
Complex Conjugates: In mathematics, a complex number is a number of the forma+bi, whereaandbare real numbers andiis the imaginary number−1. We callathe real part of the number, and we callbithe imaginary part of the number. The complex conjugate of any complex number,a+bi, is the ...
Can two devices have the same serial number? No, two devices cannot have the same serial number as each one is assigned a unique code during production. Why do some software programs require me to enter a serial key? Software programs often require users to enter a unique activation code kn...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
A compound-complex sentence occurs when a single sentence has at least two independent clauses and at least one subordinate clause. After I got home from work, my friends invited me out, and I left my apartment again. In this example, after I got home from work is the subordinate clause...
what is a whole number? a whole number is a type of number that represents a complete quantity or counting number without any fractional or decimal parts. it includes all positive numbers starting from zero and extends indefinitely to infinity. in other words, a whole number is any non-...
Example 3: Numbers ending with the same digit. Compatible Numbers in Multiplication It is always easy to multiply numbers ending with one or more zeros. We can ignore them in the beginning and multiply the non-zero numbers first. Once the multiplication is complete, the appropriate number of ...