Pyramid 441
Preview $$U_{441}(x, y) = \frac{\left(y + 1\right)^{2}}{\left(1 - x\right)^{2}}$$
Pyramid 442
Preview $$U_{442}(x, y) = \frac{x^{2} - 2 x - 2 y + \left(x - 1\right) \sqrt{x^{2} - 2 x - 4 y + 1} + 1}{2 y^{2}}$$
Pyramid 443
Preview $$U_{443}(x, y) = x + \frac{\left(y + 1\right)^{2}}{2} + \frac{\sqrt{4 x \left(y + 1\right)^{2} + \left(y + 1\right)^{4}}}{2}$$
Pyramid 444
Preview $$U_{444}(x, y) = x + \frac{\left(y + 1\right)^{2}}{2} - \frac{\sqrt{4 x \left(y + 1\right)^{2} + \left(y + 1\right)^{4}}}{2}$$
Pyramid 445
Preview $$U_{445}(x, y) = x + \frac{\sqrt{\frac{4 x}{1 - y} + \frac{1}{\left(1 - y\right)^{2}}}}{2} + \frac{1}{2 - 2 y}$$
Pyramid 446
Preview $$U_{446}(x, y) = x - \frac{\sqrt{\frac{4 x}{1 - y} + \frac{1}{\left(1 - y\right)^{2}}}}{2} + \frac{1}{2 - 2 y}$$
Pyramid 447
Preview $$U_{447}(x, y) = \frac{1}{\left(1 - x\right)^{2} \left(1 - y\right)^{3}}$$
Pyramid 448
Preview $$U_{448}(x, y) = x + \frac{\sqrt{\frac{4 x}{\left(1 - y\right)^{3}} + \frac{1}{\left(1 - y\right)^{6}}}}{2} + \frac{1}{2 \left(1 - y\right)^{3}}$$
Pyramid 449
Preview $$U_{449}(x, y) = x - \frac{\sqrt{\frac{4 x}{\left(1 - y\right)^{3}} + \frac{1}{\left(1 - y\right)^{6}}}}{2} + \frac{1}{2 \left(1 - y\right)^{3}}$$
Pyramid 450
Preview $$U_{450}(x, y) = x + \frac{\sqrt{\frac{2 x \left(1 - \sqrt{1 - 4 y}\right)}{y} + \frac{\left(1 - \sqrt{1 - 4 y}\right)^{2}}{4 y^{2}}}}{2} + \frac{1 - \sqrt{1 - 4 y}}{4 y}$$
Pyramid 451
Preview $$U_{451}(x, y) = x - \frac{\sqrt{\frac{2 x \left(1 - \sqrt{1 - 4 y}\right)}{y} + \frac{\left(1 - \sqrt{1 - 4 y}\right)^{2}}{4 y^{2}}}}{2} + \frac{1 - \sqrt{1 - 4 y}}{4 y}$$
Pyramid 452
Preview $$U_{452}(x, y) = \frac{- x - 2 y - \sqrt{x^{2} + 4 x y - 2 x + 1} + 1}{2 y^{2} - 2 y}$$
Pyramid 453
Preview $$U_{453}(x, y) = \frac{x + \left(y + 1\right)^{2}}{y + 1}$$
Pyramid 454
Preview $$U_{454}(x, y) = \frac{\left(y + 1\right)^{2} + \sqrt{4 x \left(y + 1\right) + \left(y + 1\right)^{4}}}{2 y + 2}$$
Pyramid 455
Preview $$U_{455}(x, y) = \frac{\left(y + 1\right)^{2} - \sqrt{4 x \left(y + 1\right) + \left(y + 1\right)^{4}}}{2 y + 2}$$
Pyramid 456
Preview $$U_{456}(x, y) = \frac{y}{3} + \frac{\left(y + 1\right)^{2}}{9 \sqrt[3]{\frac{x}{2 y + 2} + \frac{\sqrt{3} \sqrt{x \left(27 x + 4 \left(y + 1\right)^{4}\right)}}{18 y + 18} + \frac{\left(y + 1\right)^{3}}{27}}} + \sqrt[3]{\frac{x}{2 y + 2} + \frac{\sqrt{3} \sqrt{x \left(27 x + 4 \left(y + 1\right)^{4}\right)}}{18 y + 18} + \frac{\left(y + 1\right)^{3}}{27}} + \frac{1}{3}$$
Pyramid 457
Preview $$U_{457}(x, y) = \frac{1}{\frac{4 y \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x}}{2} \right)}}{3} \right)}}{3} - y + 1}$$
Pyramid 458
Preview $$U_{458}(x, y) = - \frac{\left(y + 1\right)^{4}}{x - \left(y + 1\right)^{2}}$$
Pyramid 459
Preview $$U_{459}(x, y) = \frac{x + \left(y + 1\right)^{4}}{\left(y + 1\right)^{2}}$$
Pyramid 460
Preview $$U_{460}(x, y) = \frac{\left(y + 1\right)^{4} + \sqrt{4 x \left(y + 1\right)^{2} + \left(y + 1\right)^{8}}}{2 \left(y + 1\right)^{2}}$$
Page: 1 ... 20 21 22 23 24 25 26 ... 76
or
expand_less