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public:calculator:guides:41z_module [13/02/25 08:11 GMT] – [User Guide] johnpublic:calculator:guides:41z_module [17/02/26 15:42 GMT] (current) – [Cubic Roots] john
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 ==== Module ==== ==== Module ====
  
-  * {{ :public:calculator:guides:41z_bs_2x2_2_1_.zip |}}+  * {{ :public:calculator:info:41z_bs_2x2_2_.zip | Fixed version Sept. 2024}}
  
  
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 ++++ ++++
  
-=== The rest of the guide was written without the use of full-time ZKEYS in mind ===+** 
 + The rest of the guide was written without the use of full-time ZKEYS in mind  
 +**
  
   * in the  [[https://forum.swissmicros.com/viewtopic.php?f=26&t=4029 | forum thread]] dealing with the factorization bug in the ''deluxe'' version Angel recommended I use the ''ΣZL'' method. He fears that occasionally ''ZKEYS'' might be broken with incorrect/missing ''USER'' assignments - so I'll try to stick to the normal ''ΣZL'' method.    * in the  [[https://forum.swissmicros.com/viewtopic.php?f=26&t=4029 | forum thread]] dealing with the factorization bug in the ''deluxe'' version Angel recommended I use the ''ΣZL'' method. He fears that occasionally ''ZKEYS'' might be broken with incorrect/missing ''USER'' assignments - so I'll try to stick to the normal ''ΣZL'' method. 
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   * <key>ZCONJ</key> = <key>Z</key> <key>SHIFT</key> <key>CHS</key> (complex conjugate)   * <key>ZCONJ</key> = <key>Z</key> <key>SHIFT</key> <key>CHS</key> (complex conjugate)
   * <key>Z ^ X</key> = <key>Z</key> <key>EEX</key>   * <key>Z ^ X</key> = <key>Z</key> <key>EEX</key>
-  * <key>Z ^ 1/X</key> = <key>Z</key> <key>Z</key> <key>EEX</key> (root(s) of complex number) : see [[#Cubic Roots of -8]]+  * <key>Z ^ 1/X</key> = <key>Z</key> <key>Z</key> <key>EEX</key> (root(s) of complex number) : see [[#Cubic Roots]]
     * <key>ZNXTNRT _</key> = <key>Z</key> <key>Z</key> <key>SHIFT</key> <key>'√x'</key> ''NEXT ROOT''  enter the root you want      * <key>ZNXTNRT _</key> = <key>Z</key> <key>Z</key> <key>SHIFT</key> <key>'√x'</key> ''NEXT ROOT''  enter the root you want 
-  +  * <key>ZWDOT</key> = <key>Z</key><key>Z</key><key>'.'</key> : dot product of 2 vectors/complex numbers 
 +  * <key>ZWCROSS</key> = <key>Z</key><key>Z</key><key>2</key> : **Magnitude** of the Cross Product of 2 vectors/complex numbers (no sign) 
 +  * <key>ZWDET</key> = <key>Z</key><key>Z</key><key>7</key> : Determinant (Cross Product) of 2 vectors/complex numbers, incl. sign/direction
 ===== Basic Operation ===== ===== Basic Operation =====
  
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-==== Cubic Roots of -8 ====+==== Cubic Roots ====
  
 ===Rectangular=== ===Rectangular===
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     * enter <key>3</key> (''goes into the normal X register'')     * enter <key>3</key> (''goes into the normal X register'')
     * find the result of ''Z↑1/x''     * find the result of ''Z↑1/x''
-      * <key>Z</key><key>Z</key><key>EEX</key>+      * <key>Z</key> <key>Z</key><key>EEX</key>
         * ''1 + j 1.732''  (the first of the cube-roots of -8)         * ''1 + j 1.732''  (the first of the cube-roots of -8)
     * find the next root with the function ''ZNXTNRT''     * find the next root with the function ''ZNXTNRT''
-      * <key>Z</key><key>Z</key><key>SHIFT</key><key>'√x'</key> +      * <key>Z</key> <key>Z</key> <key>SHIFT</key><key>'√x'</key> 
-      * enter <key>3</key> at the ''_'' prompt+      * enter <key>3 </key> at the ''_'' prompt
         * ''-2 + j 0''         * ''-2 + j 0''
     * find the next root with the function ''ZNXTNRT''     * find the next root with the function ''ZNXTNRT''
-      * <key>Z</key><key>Z</key><key>SHIFT</key><key>'√x'</key>+      * <key>Z</key> <key>Z</key> <key>SHIFT</key> <key>'√x'</key>
       * enter <key>3</key> at the ''_'' prompt       * enter <key>3</key> at the ''_'' prompt
         * ''1 - j 1.732''         * ''1 - j 1.732''
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       * '' -8 + j 0''       * '' -8 + j 0''
       * convert to POLAR       * convert to POLAR
-        * <key>Z</key><key>Z</key><key>6</key>+        * <key>Z</key> <key>Z</key><key>6</key>
           * ''8 ∠ 180''           * ''8 ∠ 180''
     * enter <key>3</key> (''goes into the normal X register'')     * enter <key>3</key> (''goes into the normal X register'')
     * find the result of ''Z↑1/x''     * find the result of ''Z↑1/x''
-      * <key>Z</key><key>Z</key><key>EEX</key>+      * <key>Z</key> <key>Z</key> <key>EEX</key>
         * ''2 ∠ 60.000''  (the first of the cube-roots of -8)         * ''2 ∠ 60.000''  (the first of the cube-roots of -8)
     * find the next root with the function ''ZNXTNRT''     * find the next root with the function ''ZNXTNRT''
-      * <key>Z</key><key>Z</key><key>SHIFT</key><key>'√x'</key>+      * <key>Z</key> <key>Z</key> <key>SHIFT</key> <key>'√x'</key>
       * enter <key>3</key> at the ''_'' prompt       * enter <key>3</key> at the ''_'' prompt
         * ''2 ∠ 180''         * ''2 ∠ 180''

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