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\[   (1 + x^2)^{-1/2} = \sum_{n=0}^{\infty} \binom{-\frac{1}{2}}{n}  x^{2n} \]

\[   \binom{-1/2}{n} =\left (\frac{(-1)^n (2n - 1)!!}{2^n n!}\right ) = 1 - \frac{1}{2}x^2 + \frac{3}{8}x^4 - \frac{5}{16}x^6 + \frac{35}{128}x^8 + …   \]

Today (06/12/2025) upon opening a new tab, Firefox slid the new option of uploading a custom picture to apply to the background. Tried the new feature, now I can not find the setting that allows me to change the picture. I read the thread "Customize your wallpapers". The instructions are as follows; You can personalize your Firefox New Tab page by adding one of the available wallpapers. Follow these steps:

  1. In the right corner of the New Tab page, click the gear IG settings icon.
  2. In the customization panel, under the Wallpapers section, you will see different categories like Solid colors, Abstract and Photographs.

       Click the category you prefer. For example, selecting Abstract will show a variety of abstract designs. 

The problem I have is the customization panel is no where to be seen, I have click on EVERYTHING possible, it is not in my settings, why? How do find this?

Hello dear helpers, When I click on a webpage link (or right-click a link to open a tab in a container), Firefox repeatedly opens the same tab all across the tab line; maybe 20 or more of the same tab. I would be grateful for help if anyone knows how to solve this. Thanks, -AnneF

I downloaded the most recent Firefox update (version 139.0.4) and since then, Firefox has been prompting me to restart to continue using Firefox every day. When I give the go ahead to restart, I get a pop up that says I need to either exit the Firefox client completely, or create a new profile to continue using it because Firefox detects an older version (this is even after updating it manually).

It's made about 5 profiles since the 10th, and they're all still in tact. I clicked my very first one and it very much still works (and even gives me a popup when I open it in a new window that says Firefox is using the latest version). It's been really disruptive to my work flow as it has happened several times in the last two days. I keep checking my settings and it says that I'm updated to the latest version of Firefox, but it continues to kick me out.

When I use non-incognito browser to go to https://www.truist.com and enter a login and password that is valid I receive a JASON response message window that says {"type":"about:blank","title":"Bad Request","status":400,"detail":"Failed to convert 'userIdEncrypted' with value: ","instance":"/dias/authenticate"} If I use a new private window I can login normally. Others have said the same thing but the suggested remedies do not work. I have delete all cach, cookies, and site data associated with the truist.com domain and the same problem happens. If I use Edge all works well with the truist.com site. Where does this useridEncrypted come from? Anyway, I thought I would try to clear out the userid which was prefilled in with the help of Firefox and just retype my id. Viola, everything worked. So wherever Firefox is retrieving the saved login id from, that must be corrupted somehow. Hope this will help somebody that is experiencing this problem.

PLEASE HELP! I allowed Avast to do a "clean up" this week. That usually entailed a "scan" for viruses. NOT ANYMORE! My computer is really messed up! I just tried to delete Avast, and even though I hate to see ads, I think their Ad Blocker is messing up my PC. I just noticed that when I asked what I thought was FIREFOX a question, the answers were supplied by an entity called THLIOKNI. WTF is THAT?????? Seriously, what is happening to my relatively NEW PC--had to buy a new CPU in October of 2023. And I've always used Firefox. But WINDOWS 11 is the operating system on this PC, and it is NOT compatible with Firefox apparently! I'm an elderly woman and I cannot handle this stress! What I also noticed is that I read Substack writers and depend on them for accurate description of current political and social news, but now I can't access the "like" buttons on commentators. Is that a Substack issue (I don't think so!), or is it something to do with the Avast "clean up?" WHAT ON EARTH IS THLIOKNI and how the hell did that get on my computer? PLEASE ADVISE ASAP! And I sincerely hope a REAL PERSON reads this! I do not want a million responses from other readers at other times, I want to hear from a REAL PERSON! You have my e-mail address. Catherine O'Kelly

I use Firefox (139.0.4 (aarch64)) on my Mac as my daily browser. I also use Firefox as my primarly browser on iOS (139.1 (56110)). My passwords simply don't keep synced between the two. I'm logged in to both using the same Mozilla account. Some passwords sometimes sync. But many are missing on iOS, and many that are there are out of date. I've done the usual like logging out and in again, I've tried forcing sync manually, passwords are set to sync on both devices. This has been going on for years now and I'm at the point where I'm going to have to switch browsers as I can't keep not having access to my passwords on my phone. Any ideas on how I can fix this? Thanks!

For the past 2 days, Facebook won't load when I try to change my page to another (just switching between accounts). It acts like it is changing or loading, and then I just get nothing. I have done all of the things that are requested from clearing my cache, browsing data, restarting, etc. Nothing is working. I've attached a picture of my screen of I receive when I try to change pages - the big F. LOL Facebook on my phone works fine. I've tried also turning off my VPN and it doesn't load.

I've also had issues with my Xfinity email loading unless I turn off my VPN.

So what is going on?

I enabled Microphone Access for the Doximity website (https://www.doximity.com/dialer/home/voice) but it continues to require that I click "Allow Microphone Access" every time I try to place a call. Please see attached screenshots. Is there any way to fix this, so that I don't need to click "Allow Microphone Access" prior to every single call?

Hi I have found a few times now that if a website calls for information to be input in a form and then submitted the submit doesn't work. However if I bring up chrome then it works fine so I guess it is either one of my settings or a problem with firefox...?

Open previous windows and tabs stopped working. I have gone to settings and made sure the option was selected, which it was, so I proceeded to refresh Firefox, no difference. I deleted Firefox completely and download it, then reinstalled it again. Still not working. How can I fix it?

I have tried many times to download and install firefox but when I try to install it, and sait for what seems to be theinstallation process to finish, I keep getting a page that says invalid URL.

How can I insall the prowser?

Actually, I used to have it on my computer but somehow I cannot find it. [email removed]@aol.com

So, my problem is with HW acceleration in FF. Basically:

If its enabled: It causes graphical artifacts in videos [See screenshot]. If its disabled: It brings screen tear in to videos and autoscroll [Like if Vsync is disabled in games].

I tried safe mode, I tried reinstall of FF, I tried disabling and enabling extensions. I tried to set Vsync on in Nvidia control panel... the only thing that impact those bugs is HW acceleration in FF.

My drivers are up to date, my browser is up to date, yet there is such trouble.

Any ideas or solutions?

Hello, When I try to use Mozilla firefox, using this rather than Google chrome I get the following warning from Malwarebyte: Exploit.PayloadProcess.Block, making me feel uneasy. Best wishes, Torbjørn Borgen Lindhardt, Denmark

how come when ever i install any antivirus except for windows defender do i get this in Firefox Your browser is being managed by your organization. i went to policies but do not know what to do why can this not be removed from Firefox what do i need to do in policies to get rid of this. here is what i get in policies did not remove any thing this is what i get help please thi is documentation in policies.. Documentation Policy Name 3rdparty Set policies that WebExtensions can access via chrome.storage.managed. AllowedDomainsForApps Define domains allowed to access Google Workspace. AllowFileSelectionDialogs Allow file selection dialogs. AppAutoUpdate Enable or disable automatic application update. AppUpdatePin Prevent Firefox from being updated beyond the specified version. AppUpdateURL Set custom app update URL. Authentication Configure integrated authentication for websites that support it. AutofillAddressEnabled Enable autofill for addresses. AutofillCreditCardEnabled Enable autofill for payment methods. AutoLaunchProtocolsFromOrigins Define a list of external protocols that can be used from listed origins without prompting the user. BackgroundAppUpdate Enable or disable the background updater. BlockAboutAddons Block access to the Add-ons Manager (about:addons). BlockAboutConfig Block access to the about:config page. BlockAboutProfiles Block access to the about:profiles page. BlockAboutSupport Block access to the about:support page. Bookmarks Create bookmarks in the Bookmarks toolbar, Bookmarks menu, or a specified folder inside them. CaptivePortal Enable or disable captive portal support. Certificates Add certificates or use built-in certificates. Containers Set policies related to containers. ContentAnalysis Enable or disable connection to data-loss-prevention agent. Cookies Allow or deny websites to set cookies. DefaultDownloadDirectory Set the default download directory. DisableAccounts Disable account-based services, including sync. DisableAppUpdate Prevent the browser from updating. DisableBuiltinPDFViewer Disable PDF.js, the built-in PDF viewer in Firefox. DisabledCiphers Disable ciphers. DisableDefaultBrowserAgent Prevent the default browser agent from taking any actions. Only applicable to Windows; other platforms don’t have the agent. DisableDeveloperTools Block access to the developer tools. DisableEncryptedClientHello Disable use of the TLS feature Encrypted Client Hello (ECH). DisableFeedbackCommands Disable commands to send feedback from the Help menu (Submit Feedback and Report Deceptive Site). DisableFirefoxAccounts Disable account-based services, including sync. DisableFirefoxScreenshots Disable the Firefox Screenshots feature. DisableFirefoxStudies Prevent Firefox from running studies. DisableForgetButton Prevent access to the Forget button. DisableFormHistory Don’t remember search and form history. DisableMasterPasswordCreation If true, a Primary Password can’t be created. DisablePasswordReveal Do not allow passwords to be revealed in saved logins. DisablePocket Disable the feature to save webpages to Pocket. DisablePrivateBrowsing Disable Private Browsing. DisableProfileImport Disable the menu command to Import data from another browser. DisableProfileRefresh Disable the Refresh Firefox button in the about:support page. DisableSafeMode Disable the feature to restart in Safe Mode. Note: the Shift key to enter Safe Mode can only be disabled on Windows using Group Policy. DisableSecurityBypass Prevent the user from bypassing certain security warnings. DisableSetDesktopBackground Disable the menu command Set as Desktop Background for images. DisableSystemAddonUpdate Prevent the browser from installing and updating system add-ons. DisableTelemetry Turn off Telemetry. DisableThirdPartyModuleBlocking Prevent the user from blocking third-party modules that get injected into the Firefox process. DisplayBookmarksToolbar Display the Bookmarks Toolbar by default. DisplayMenuBar Display the Menu Bar by default. DNSOverHTTPS Configure DNS over HTTPS. DontCheckDefaultBrowser Disable check for default browser on startup. DownloadDirectory Set and lock the download directory. EnableTrackingProtection Enable or disable Content Blocking and optionally lock it. EncryptedMediaExtensions Enable or disable Encrypted Media Extensions and optionally lock it. ExemptDomainFileTypePairsFromFileTypeDownloadWarnings Disable warnings based on file extension for specific file types on domains. Extensions Install, uninstall or lock extensions. The Install option takes URLs or paths as parameters. The Uninstall and Locked options take extension IDs. ExtensionSettings Manage all aspects of extension installation. ExtensionUpdate Enable or disable automatic extension updates. FirefoxHome Configure Firefox Home. FirefoxSuggest Configure Firefox Suggest. GoToIntranetSiteForSingleWordEntryInAddressBar Force direct intranet site navigation instead of searching when typing single word entries in the address bar. Handlers Configure default application handlers. HardwareAcceleration If false, turn off hardware acceleration. Homepage Set and optionally lock the homepage. HttpAllowlist Origins that will not be upgraded to HTTPS. HttpsOnlyMode Allow HTTPS-Only Mode to be enabled. InstallAddonsPermission Allow certain websites to install add-ons. LegacyProfiles Disable the feature enforcing a separate profile for each installation. LegacySameSiteCookieBehaviorEnabled Enable default legacy SameSite cookie behavior setting. LegacySameSiteCookieBehaviorEnabledForDomainList Revert to legacy SameSite behavior for cookies on specified sites. LocalFileLinks Allow specific websites to link to local files. ManagedBookmarks Configures a list of bookmarks managed by an administrator that cannot be changed by the user. ManualAppUpdateOnly Allow manual updates only and do not notify the user about updates. MicrosoftEntraSSO Allow single sign-on for Microsoft Entra accounts. NetworkPrediction Enable or disable network prediction (DNS prefetching). NewTabPage Enable or disable the New Tab page. NoDefaultBookmarks Disable creation of the default bookmarks bundled with Firefox, and the Smart Bookmarks (Most Visited, Recent Tags). Note: this policy is only effective if used before the first run of the profile. OfferToSaveLogins Enforce the setting to allow Firefox to offer to remember saved logins and passwords. Both true and false values are accepted. OfferToSaveLoginsDefault Set the default value for allowing Firefox to offer to remember saved logins and passwords. Both true and false values are accepted. OverrideFirstRunPage Override the first run page. Set this policy to blank if you want to disable the first run page. OverridePostUpdatePage Override the post-update “What’s New” page. Set this policy to blank if you want to disable the post-update page. PasswordManagerEnabled Enable saving passwords to the password manager. PasswordManagerExceptions Prevent Firefox from saving passwords for specific sites. PDFjs Disable or configure PDF.js, the built-in PDF viewer in Firefox. Permissions Configure permissions for camera, microphone, location, notifications, and autoplay. PictureInPicture Enable or disable Picture-in-Picture. PopupBlocking Allow certain websites to display popups by default. PostQuantumKeyAgreementEnabled Enable post-quantum key agreement for TLS. Preferences Set and lock the value for a subset of preferences. PrimaryPassword Require or prevent using a Primary Password. PrintingEnabled Enable or disable printing. PrivateBrowsingModeAvailability Set availability of private browsing mode. PromptForDownloadLocation Ask where to save files when downloading. Proxy Configure proxy settings. RequestedLocales Set the list of requested locales for the application in order of preference. SanitizeOnShutdown Clear navigation data on shutdown. SearchBar Set the default location of the search bar. The user is still allowed to customize it. SearchEngines Configure search engine settings. This policy is only available on the Extended Support Release (ESR) version. SearchSuggestEnabled Enable or disable search suggestions. SecurityDevices Add or delete PKCS #11 modules. ShowHomeButton Show the home button on the toolbar. SkipTermsOfUse Do not display the Terms of Use and Privacy Notice upon startup. You represent that you accept and have the authority to accept the Terms of Use on behalf of all individuals to whom you provide access to this browser. SSLVersionMax Set the maximum SSL version. SSLVersionMin Set the minimum SSL version. StartDownloadsInTempDirectory Force downloads to start off in a local, temporary location rather than the default download directory. SupportMenu Add a custom support menu item to the help menu. TranslateEnabled Enable or disable webpage translation. UserMessaging Don’t show certain messages to the user. UseSystemPrintDialog Print using the system print dialog. WebsiteFilter Block websites from being visited. See documentation for more details on the format. WindowsSSO and this Certificates ImportEnterpriseRoots true

Recently I've noted that tabs on my browser move from where I had them all the way to the far right end of the tabs list, and it happens at random. There'll be times when I click on another tab while listening to music or a video on another only to find the tab I was listening to had moved when I go to click back on it. Without fail, I've found these tabs at the far right end of the set of tabs, and I need to know how to put a stop to this. It's inconvenient, and annoying in extreme. This has to be due to a recent update, because up til a couple months ago, this didn't happen at all. If there's a setting that I can change in about:config, I would like to know about it, because you can bet I'll disable this feature.

i installed firefox browser in my pc. when i opened firefox before i logined to my account it synced with edge . when i logged in to my firefox account it synced and updated my passwords to my old passwords. i lost all updated passwords. is there a way i can recover my passwords