Negative frequency: historial de revisions

2 juny 2024

• actprev 22:5722:57, 2 juny 2024‎ Bob K discussió contribucions‎ m 7.383 octets +28‎ add whitespace between math formula and {{EquationRef}} template desfés

11 feb 2024

• actprev 21:1821:18, 11 feb 2024‎ Bob K discussió contribucions‎ 7.355 octets −109‎ →‎Further reading: delete misleading link, as per talk page desfés

29 gen 2024

• actprev 01:5501:55, 29 gen 2024‎ Em3rgent0rdr discussió contribucions‎ 7.464 octets +45‎ →‎Sinusoids: format fractions as {{Fraction}} desfés Etiqueta: editor visual

28 gen 2024

• actprev 21:5821:58, 28 gen 2024‎ Bob K discussió contribucions‎ 7.419 octets −1.834‎ →‎Sinusoids: simplified desfés Etiqueta: edició visual: canviat

27 gen 2024

• actprev 22:1522:15, 27 gen 2024‎ Bob K discussió contribucions‎ 9.253 octets −786‎ Re-simplify the lead, and remove incorrect example. desfés Etiqueta: editor visual

23 nov 2023

• actprev 18:0318:03, 23 nov 2023‎ Cewbot discussió contribucions‎ m 10.039 octets +4‎ Fixing broken anchor: 2023-04-26 #Rectangular vectors→Vector notation#Rectangular coordinates desfés

27 set 2023

• actprev 06:4006:40, 27 set 2023‎ Citation bot discussió contribucions‎ 10.035 octets −17‎ Removed parameters. | Use this bot. Report bugs. | #UCB_CommandLine desfés

21 set 2023

• actprev 21:4521:45, 21 set 2023‎ Sdkb discussió contribucions‎ m 10.052 octets +14‎ Correcting section link formatting, general fixes desfés Etiqueta: AWB

14 juny 2023

• actprev 22:0822:08, 14 juny 2023‎ 51.219.141.160 discussió‎ 10.038 octets −5‎ →‎Simplifying the Fourier transform: Corrected "most well-known" (grammatically incorrect) in first sentence of this section to "best-known". desfés

13 feb 2023

• actprev 15:4615:46, 13 feb 2023‎ MatthiasSchneller discussió contribucions‎ m 10.043 octets +1‎ →‎Applications: Correct a typo. desfés

31 des 2022

• actprev 17:3517:35, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 10.042 octets +5‎ →‎Sinusoids: emphasize "...only." desfés Etiqueta: editor visual
• actprev 17:3417:34, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 10.037 octets +55‎ →‎Sinusoids: Have "The sign of the underlying phase slope is ambiguous." be the introductory sentence for the next paragraph. And then instead of saying "The ambiguity is resolved when the cosine and sine operators can be observed simultaneously, ..." I try to explain how that ambiguity is resolved a bit better: "...the ambiguity about the phase slope is resolved simply by observing a cosine and sine operator simultaneously and seeing which one leads the other." desfés Etiqueta: editor visual
• actprev 17:2417:24, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ m 9.982 octets +3‎ "which" slightly better than "but" here I think. desfés Etiqueta: editor visual
• actprev 17:2117:21, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ m 9.979 octets −2‎ I guess should stick to "rotation" instead of "revolution" which can be said to have a distinct meaning. desfés Etiqueta: editor visual
• actprev 17:1917:19, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.981 octets +50‎ →‎Sinusoids: finally found a smaller negative sign for sin by using "text{-}" instead of just "-" in latex. Now I can write the pi-phase-shifted version of this sine wave with simply a negative sign, so readers can better see how this is from sine's odd function property. desfés Etiqueta: editor visual
• actprev 17:0617:06, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.931 octets −48‎ →‎Sinusoids: The phrase "e^(i*omega*t) clearly contains more information" was too big of claim to for "clearly". I'd think reader would need to see some bit of analysis to see why. I suppose the reason is because it contains both a frequency and a phase information. However that would have to be written out instead of just "clearly", and this sentence was already long enough that it would have to be a new sentence or paragraph, so I've deleted. Maybe analytic signal can explain instead. desfés Etiqueta: editor visual
• actprev 16:5416:54, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ m 9.979 octets 0‎ correction "clockwise" desfés Etiqueta: editor visual
• actprev 16:5316:53, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.979 octets +301‎ The rotating vector example was inside of "Sinusoids" section. However, I moved that example with its picture up to the introduction instead, which is explained as a sub-bullet under the first bullet point about a rotating object, and avoided using omega for frequency but rather explained them as +/-1 radian per unit of time. And explained in the caption a bit more. desfés Etiqueta: editor visual
• actprev 16:2016:20, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.678 octets +2‎ →‎Sinusoids: "the" instead of "a" vector, so is more clear we are talking about a specific vector, rather than just any vector. (Though "a" still works, I think "the" is better.) desfés Etiqueta: editor visual
• actprev 16:1916:19, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.676 octets +40‎ →‎Sinusoids: hyperlinked "vector" to Vector notation#Rectangular vectors so in case a reader isn't too clear what type of vector this is, they can figure out that it is an (x,y) vector from the link. desfés Etiqueta: editor visual
• actprev 16:1416:14, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.636 octets −25‎ →‎Sinusoids: deleted "in polar coordinates" because really this expression (\cos(\omega t), \sin(\omega t)) for a vector is for a cartesian coordinate system (first entry is x coordinate, second entry is y coordinate). In polar, these vectors would be represented as (radius=1,angle=+/-omega). desfés Etiqueta: editor visual
• actprev 05:1905:19, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.661 octets −238‎ agh...never mind, but that would be good to include *if* it was accompanied by an animation. desfés Etiquetes: Reversió manual editor visual
• actprev 05:1805:18, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.899 octets +238‎ →‎Sinusoids: a vector of cos(wt),sin(wt) polar coordinates is mentioned in sinusoids. I think it is a good example to add to my bullet list at the top (would be really cool to show an animation of this!) desfés Etiquetes: Revertida editor visual
• actprev 04:5904:59, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ m 9.661 octets +5‎ →‎Simplifying the Fourier transform: reformat using {{slink}} so appears like "Euler's formula § Relationship to trigonometry" desfés Etiqueta: editor visual
• actprev 04:5504:55, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ m 9.656 octets +2‎ →‎Sinusoids: Too many identical words "cosine wave cos()" and "sine wave sin()". I find it reads better using "sinusoid" so at least the same words repeat themselves right next to eachother. desfés Etiqueta: editor visual
• actprev 04:4004:40, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.654 octets −42‎ →‎Sinusoids: I want to include <math>-\sin(\omega t - \varphi)</math>, but unfortunately the math formatting for '-' makes it look bad inside paragraph text, so I guess I will delete this negative but equivalent sine wave. desfés Etiqueta: editor visual
• actprev 04:3804:38, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.696 octets −93‎ →‎Sinusoids: forgot some '\' before sine\cos in <math>. Also since I already mentioned odd & even, I can delete my later invocation of trig identity. desfés Etiqueta: editor visual
• actprev 04:2304:23, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ m 9.789 octets 0‎ →‎Sinusoids: shift sinusoid hyperlink to first instance of the word. desfés Etiqueta: editor visual
• actprev 04:2104:21, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.789 octets +531‎ →‎Sinusoids: did a change of variables naming from theta to phi. Why? Because sine wave article that is the hyperlink for sinusoids uses phi for phase, and I believe should try to stick to same variable naming when possible. Also I use math formatting because it makes math equations look consistent. Also break off the cos & sin example into their own little paragraph that starts with invoking concept of odd and even functions and simplify wording a bit. desfés Etiqueta: editor visual
• actprev 02:3502:35, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.258 octets +88‎ clarify this bullet applies to functions represented in a Cartesian coordinate system desfés Etiqueta: editor visual
• actprev 02:2102:21, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.170 octets −9‎ trimmed down the absolute value meaning to just read as "how often some repeating event occurs". (I had forgot to include "...per unit of time" earlier). This new wording is better cause is more brief. Now this intro gets to the sign quicker. desfés Etiqueta: editor visual
• actprev 02:1702:17, 31 des 2022‎ Em3rgent0rdr discussió contribucions‎ 9.179 octets +746‎ revamped intro. First be as general as possible. Then provide three examples. "Sense" wasn't very useful to describe at all imho, and "rotation" was merely one very specific example. I spent a while thinking and came up with a more general wording in that sign expands upon the concept of frequency "...to also have a positive or negative sign representing one of two opposing orientations for occurrences of those events." desfés Etiqueta: editor visual

30 des 2022

• actprev 23:4423:44, 30 des 2022‎ Em3rgent0rdr discussió contribucions‎ 8.433 octets +26‎ →‎Sinusoids: slight tweak clarification, and broke up the stuff about aliasing into separate paragraph. desfés Etiqueta: editor visual
• actprev 22:4222:42, 30 des 2022‎ Em3rgent0rdr discussió contribucions‎ 8.407 octets +217‎ →‎Sinusoids: expanding with some clarification. The sum *involves* a cancellation...it is not only a cancellation (the real parts to add constructively). And the ambiguity about negative freq relates to cosine identify. And specify that "one of the two frequencies is a false positive" to be slightly more clear than just "includes". desfés Etiqueta: editor visual
• actprev 22:1922:19, 30 des 2022‎ Em3rgent0rdr discussió contribucions‎ 8.190 octets −5‎ →‎Sinusoids: Instead of using undefined pronouns ("it" & "this"), I'd prefer to spell out. And minor adjust: I think slightly better to use singular form of "frequency" by saying "a positive and a negative frequency" instead of "frequencies" so it is clear that it is *just* *two* frequencies. desfés Etiqueta: editor visual
• actprev 22:1222:12, 30 des 2022‎ Em3rgent0rdr discussió contribucions‎ 8.195 octets +7‎ →‎Sinusoids: inserted "merely" before "results in an ambiguity" to emphasize that this ambiguity isn't really that big of a deal, and give a heads up to prepare reader for the subsequent sentences that explain why. desfés Etiqueta: editor visual
• actprev 22:0122:01, 30 des 2022‎ Em3rgent0rdr discussió contribucions‎ 8.188 octets +100‎ →‎Sinusoids: I think it dramatically helps readers to spell out that this is a cancellation of imaginary components and write out the math for the imaginary sinusoids that are being cancelled. desfés Etiqueta: editor visual
• actprev 21:5121:51, 30 des 2022‎ Em3rgent0rdr discussió contribucions‎ 8.088 octets +14‎ →‎Sinusoids: I'm inserting "somewhat misleading" before interpretation so the reader is prepared to accept the next sentence that this sum is actually a cancellation. Maybe there is a better adjective to insert before "interpretation". desfés Etiqueta: editor visual
• actprev 20:3720:37, 30 des 2022‎ Em3rgent0rdr discussió contribucions‎ m 8.074 octets 0‎ →‎Simplifying the Fourier transform: minor text formatting opinion: "idealized" is what is better to be italicized, cause we are emphasizing that this is the *idealized* Fourier transform. desfés Etiqueta: editor visual
• actprev 20:2720:27, 30 des 2022‎ Em3rgent0rdr discussió contribucions‎ 8.074 octets +78‎ →‎Simplifying the Fourier transform: Because I deleted "Although most functions do not comprise pure sinusoids (infinite duration), that idealization is the easiest and most common way of understanding this topic." from slink{{Fourier_transform|Complex_sinusoids_and_negative_frequency}}, I've readded extra wording from that here where I think it belongs better and tweaked the wording slightly and broke it into its own little "Note that" paragraph cause it is sortof an "aside". desfés Etiqueta: edició visual: canviat

29 des 2022

• actprev 13:4013:40, 29 des 2022‎ Bob K discussió contribucions‎ 7.996 octets +253‎ →‎Further reading: add a reference desfés

28 des 2022

• actprev 14:5214:52, 28 des 2022‎ Bob K discussió contribucions‎ m 7.743 octets +9‎ →‎Simplifying the Fourier transform: clarification desfés

19 des 2022

• actprev 19:3119:31, 19 des 2022‎ Bob K discussió contribucions‎ 7.734 octets 0‎ →‎Sinusoids: make a vague claim more specific desfés Etiqueta: editor visual

17 nov 2022

• actprev 16:5616:56, 17 nov 2022‎ 154.121.31.107 discussió‎ 7.734 octets 0‎ Correct 'in' to 'it' desfés

11 maig 2022

• actprev 15:3215:32, 11 maig 2022‎ Bob K discussió contribucions‎ m 7.734 octets +5‎ →‎Simplifying the Fourier transform: reword a sentence desfés

19 març 2022

• actprev 15:0915:09, 19 març 2022‎ Bob K discussió contribucions‎ 7.729 octets +247‎ →‎Sinusoids: add one sentence desfés
• actprev 13:1413:14, 19 març 2022‎ Bob K discussió contribucions‎ 7.482 octets +43‎ →‎Simplifying the Fourier transform: replace "more complicated" with hyperlink to "spectral leakage" desfés

15 març 2022

• actprev 18:5918:59, 15 març 2022‎ Bob K discussió contribucions‎ 7.439 octets +382‎ →‎Simplifying the Fourier transform: use an example desfés
• actprev 13:3213:32, 15 març 2022‎ Bob K discussió contribucions‎ 7.057 octets −78‎ →‎Sinusoids: remove unnecessary detail desfés
• actprev 04:4104:41, 15 març 2022‎ Em3rgent0rdr discussió contribucions‎ m 7.135 octets +1‎ typo desfés Etiqueta: edició visual: canviat