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"Ruling polynomials and augmentations over finite fields"

"Ruling polynomials and augmentations over finite fields"

"Rational and polynomial density on compact real manifolds"

"Rational and polynomial density on compact real manifolds"

Histograms demonstrating the calculation of the R iso, sky (E, L) function. Top left: amount of time Fermi spent while at each L bin; top

right: number of events in the

θ< 50◦subset of the isotropic-component data set detected while Fermi was inside each of the L bins; bottom: ratio

of these two histograms showing the detection rate of such events while at some

L bin. We fit the rate histogram with a fifth degree polynomial,

shown with the black curve. The histograms shown here correspond to log-energy bin #1 (energy≃100 MeV).

"MOM WAIT!! This is the infamous Babbage Difference Engine! It's a giant mechanical calculator designed to tabulate polynomial functions. It's also the reason why my math books don't have calculation errors"

"The probability that a polynomial with integer coefficients has all real roots"

Polynomial Diffusion Models for Life Insurance Liabilities. Biagini, Zhang arxiv.org/abs/1602.07910 #q-fin

"Chebyshev polynomials and CR mappings"

"Chebyshev polynomials and CR mappings"

We did this lame shit in Algebra II with graphing of polynomials, reducing them to prime factors, and then graphing them. This was my response.

"The protean chromatic polynomial"

"The protean chromatic polynomial"

"The protean chromatic polynomial"

Polynomial term structure models. Cheng, Tehranchi arxiv.org/abs/1504.03238 #q-fin

SIMPLE = T / file does conform to FITS standard

BITPIX = -32 / number of bits per data pixel

NAXIS = 3 / number of data axes

NAXIS1 = 6036 / length of data axis 1

NAXIS2 = 4020 / length of data axis 2

NAXIS3 = 3 / length of data axis 3

EXTEND = T / FITS dataset may contain extensions

COMMENT FITS (Flexible Image Transport System) format is defined in 'Astronomy

COMMENT and Astrophysics', volume 376, page 359; bibcode: 2001A&A...376..359H

BZERO = 0. / Offset data range to that of unsigned short

BSCALE = 1. / Default scaling factor

PROGRAM = 'Siril 1.4.0-beta4' / Software that created this HDU

FILENAME= 'img_0011.nef'

DATE = '2025-11-01T10:06:59' / UTC date that FITS file was created

DATE-OBS= '2017-08-20T22:39:36' / YYYY-MM-DDThh🇲🇲ss observation start, UT

ROWORDER= 'BOTTOM-UP' / Order of the rows in image array

EXPTIME = 123. / [s] Exposure time duration

ISOSPEED= 250. / ISO camera setting

FOCALLEN= 1158.489 / [mm] Focal length

XBINNING= 1 / Camera binning mode

YBINNING= 1 / Camera binning mode

XPIXSZ = 5. / [um] Pixel X axis size

YPIXSZ = 5. / [um] Pixel Y axis size

INSTRUME= 'Nikon D5200' / Instrument name

STACKCNT= 78 / Stack frames

LIVETIME= 9529.5998916626 / [s] Exposure time after deadtime correction

EXPSTART= 2457986.43081019 / [JD] Exposure start time (standard Julian date)

EXPEND = 2457986.61906943 / [JD] Exposure end time (standard Julian date)

OBJCTRA = '00 42 26.189' / [H M S] Image center Right Ascension

OBJCTDEC= '+41 19 38.552' / [D M S] Image center Declination

RA = 10.6091190843413 / [deg] Image center Right Ascension

DEC = 41.3273755778947 / [deg] Image center Declination

CTYPE1 = 'RA---TAN-SIP' / TAN (gnomic) projection + SIP distortions

CTYPE2 = 'DEC--TAN-SIP' / TAN (gnomic) projection + SIP distortions

CUNIT1 = 'deg ' / Unit of coordinates

CUNIT2 = 'deg ' / Unit of coordinates

EQUINOX = 2000. / Equatorial equinox

CRPIX1 = 3018.5 / Axis1 reference pixel

CRPIX2 = 2010.5 / Axis2 reference pixel

CRVAL1 = 10.6091190843413 / [deg] Axis1 reference value

CRVAL2 = 41.3273755778947 / [deg] Axis2 reference value

LONPOLE = 180. / Native longitude of celestial pole

CDELT1 = -0.000247277488832208 / [deg] X pixel size

CDELT2 = 0.000247295686311149 / [deg] Y pixel size

PC1_1 = 0.723517411000228 / Linear transformation matrix (1, 1)

PC1_2 = 0.690306132074406 / Linear transformation matrix (1, 2)

PC2_1 = -0.690449231186407 / Linear transformation matrix (2, 1)

PC2_2 = 0.723380853461094 / Linear transformation matrix (2, 2)

A_ORDER = 3 / SIP polynomial degree, axis 1, pixel-to-sky

A_0_0 = 0.

A_1_0 = 0.

A_0_1 = 0.

A_2_0 = 2.60771910752349E-08

A_1_1 = -1.86634136428528E-08

A_0_2 = 4.06674834757682E-08

A_3_0 = -6.05931488148592E-10

A_2_1 = 2.56883210469854E-11

A_1_2 = -6.53524530828069E-10

A_0_3 = 7.25083282937301E-11

B_ORDER = 3 / SIP polynomial degree, axis 2, pixel-to-sky

B_0_0 = 0.

B_1_0 = 0.

B_0_1 = 0.

B_2_0 = 1.50276602598993E-07

B_1_1 = -1.6434617742354E-08

B_0_2 = -1.98369209680245E-08

B_3_0 = 3.90050019482281E-11

B_2_1 = -5.74875020546825E-10

B_1_2 = -4.68060214532268E-11

B_0_3 = -5.39125306836144E-10

AP_ORDER= 3 / SIP polynomial degree, axis 1, sky-to-pixel

AP_0_0 = 0.00466628178056705

AP_1_0 = -5.77783443298507E-05

AP_0_1 = 2.46590735907731E-06

AP_2_0 = -2.7642869210866E-08

AP_1_1 = 1.86261052482085E-08

AP_0_2 = -4.20836666275435E-08

AP_3_0 = 6.23033563027215E-10

AP_2_1 = -2.72709576667416E-11

AP_1_2 = 6.74726273410097E-10

AP_0_3 = -7.40353685585022E-11

BP_ORDER= 3 / SIP polynomial degree, axis 2, sky-to-pixel

BP_0_0 = 0.00238839704565799

BP_1_0 = 7.02212940738368E-08

BP_0_1 = -3.74149093612663E-05

BP_2_0 = -1.52984415511728E-07

BP_1_1 = 1.54068935989443E-08

BP_0_2 = 1.95356304418592E-08

BP_3_0 = -3.98923175670779E-11

BP_2_1 = 5.90706303502153E-10

BP_1_2 = 4.75457974444921E-11

BP_0_3 = 5.5121324303925E-10

PLTSOLVD= T / Siril internal solver

HISTORY Extraction du gradient (Correction : Subtraction)

HISTORY R solution astrom trique

HISTORY Photom trie CC (algorithme : PCC)

HISTORY D convolution

HISTORY Transf. histogramme (mid=0.001, lo=0.100, hi=1.000)

HISTORY SCNR (type=neutre moyen, qt =1.00, pr serve=true)

HISTORY Rehaussement de la saturation (quantit =0.25)

END

Polynomial Diffusion Models for Life Insurance Liabilities. Biagini, Zhang arxiv.org/abs/1602.07910 #q-fin

Algebra 2 students work on a collaborative graphing polynomials investigation

knitting projects - an ipod cover which I made too large so now it's a camera case, a polynomial camera bag (video camera), and the robot toy (in progress) for Amelie. plus my pattern book with notes

"Ruling polynomials and augmentations over finite fields"

"Ruling polynomials and augmentations over finite fields"

"The behavior of polynomial mappings at infinity"

youtu.be/HnHMfBtp7Ns

 

The Ultimate Cheat Sheet

 

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domain restrictions, polynomial, fraction, radical l... inverse functions asymptotes, holes, graphs

 

The Ultimate Cheat Sheet for STEM Majors

 

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jondt.com/domain-restrictions-polynomial-fraction-radical...

knitting projects - an ipod cover which I made too large so now it's a camera case, a polynomial camera bag (video camera), and the robot toy (in progress) for Amelie. plus my pattern book with notes

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